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Thermal Turbo Machines Laboratory
Department of Mechanical EngineeringIndian Institute of Technology Madras
By
Rayapati Subbarao and M.Govardhan
Effect of speed ratio on the Performance and flow field of a
counter rotating turbine
Contents
Introduction Previous work Objective Results and discussion
Validation Effect of speed ratio
Flow aspects Losses Performance
Conclusions
2ICAER 2013, IIT Bombay
Introduction
Gas turbine community is quite successful in improving the performance that would reduce the running cost and ensure limited usage of energy resources
Mere 1% improvement would save Millions of rupees Performance of a turbine
Axial spacing Tip clearance Geometrical parameters Stagger angle Mass flow rate Speed Flow parameters Speed ratio
Other ways
3ICAER 2013, IIT Bombay
Counter Rotating Turbine (CRT) is an axial turbine with a nozzle followed by a first rotor and a second rotor which rotates in the opposite direction of the first rotor
Because of the unconventional architecture, it offers advantages on weight, volume, efficiency and maneuverability relative to traditional multi-stage axial flow turbines
Counter Rotating Turbine
4ICAER 2013, IIT Bombay
Axial flow turbine Counter rotating turbine
5ICAER 2013, IIT Bombay
Author FindingsWintucky and Stewart (1958) Efficiency of a counter-rotating turbine
improved with the elimination of the inter-stage stator.
Ji Lucheng et al. (2001) Studied about key parameters for the performance of the CRT.
Zhao et al. (2007) Numerical analysis of 3-D unsteady flow in a vaneless counter rotating turbine.
Previous work - CRT
6ICAER 2013, IIT Bombay
7
Previous work – speed ratio
Author FindingsSharma et al. (1988) Speed ratio significantly affected the performance of the
first rotor and the contra-rotating compressor stage.
Schobeiri et al. (2002) Deviation from the design rotational speed by −10% results in an efficiency decrease of more than 3% in case of a turbine. Efficiency is increased by 1% when there is +10% change in speed.
Chen et al. (2008) Beneficial effect of varying the speed ratio in contra-rotating axial compressor
Jack et al. (2006) It was found that the efficiency of the fan increased in the case of speed ratio more than 1, when the first was running at higher speed than the second rotor.
ICAER 2013, IIT Bombay
Objective
Study the effect of speed ratio on the performance and flow field of counter rotating turbine
Pressure, velocity and entropy distributions
Losses Performance
8ICAER 2013, IIT Bombay
9
Approach To meet the objectives, computational model is developed using
ICEM CFD 13.0 and CFX 13.0 is used for solving and post processing
Computational domain of Counter Rotating Turbine, consisting of nozzle, rotor 1 and rotor 2 is modeled
Equivalent mass flow rates of 0.139 to 0.091 Speed ratios of 0.85 to 1.17
CFX - Solver
CFX- Post
ICEM CFD
CFX - Pre
Geometry creationMesh generation
Importing MeshDefining boundary conditionsDefining solver parameters
Writing definition file
Solving and writing results file
Processing of the results
ICAER 2013, IIT Bombay
10
Blade configuration
Parameters Nozzle Rotor 1 Rotor 2
Hub radius (mm) 610 610 610
Tip radius (mm) 762-776 776-790 790-805
Tip clearance (mm) 0 2.28 2.28
Number of vanes 22 28 28
Flow path
OUTLET DOMAIN
INLET DOMAIN
NOZZLE ROTOR 1 ROTOR 2
ICAER 2013, IIT Bombay
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Mesh pattern and computational domain for the CRT
ICAER 2013, IIT Bombay
Flow parameters
Parameters Details
Analysis Steady state
Mesh Tetra with smoothening algorithm adapted
Refinement At LE,TE, Blade
Turbulence model Shear Stress Transport (SST)
Interface Frozen rotor
Convergence criteria 10-4
Other parameters
Parameters Values
Inlet total temperature (K) 480
Inlet total pressure (atm) 1.35
Mass flow rate (kg/s) 3-4.5 kg/s per domain
Fluid Air ideal gas
Inlet turbulence 1% Speed of Rotor 1
Speed of Rotor 2
Ratio
510 600 0.85
550 600 0.92
600 600 1
600 510 1.09
600 550 1.17
Speed ratios
ICAER 2013, IIT Bombay
12
13
Results and discussion
Validation Flow through CRT with respect to speed ratio
Nozzle, rotor 1 and rotor 2 exit flow field Static Enthalpy Loss Coefficient and Turbulent
Kinetic Energy plots Performance parameters
ICAER 2013, IIT Bombay
14
Validation Compared with the experimental data obtained by Dring
et al. (1987)
Cp distribution for rotor
0.0 0.2 0.4 0.6 0.8 1.0
-1.0
-0.5
0.0
0.5
1.0
SS
Pre
ssur
e co
effic
ient
, Cp
x/ch
Simulation Dring et al.[1987]
PS
0.0 0.2 0.4 0.6 0.8 1.0
-0.8
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
PS
Simulation Dring et al. [1987]
Pre
ssur
e co
effic
ient
, Cp
x/ch
SS
ICAER 2013, IIT Bombay
Cp distribution for stator
15
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1.000
1.000
1.000
0.996
0.996
0.972
1.001 1.0011.001
0.992
1.000
0.996
0.980
0.988
0.980
0.984
0.9840.988
0.988
0.992
0.992
1.000
1.000
1.000
1.000
1.000
0.996
0.996
0.972
1.001 1.0011.001
0.992
1.000
0.996
0.980
0.988
0.980
0.984
0.9840.988
0.988
0.992
0.992
1.000
1.000
1.000
1.000
1.000
0.996
0.996
0.972
1.001 1.0011.001
0.992
1.000
0.996
0.980
0.988
0.980
0.984
0.9840.988
0.988
0.992
0.992
1.000
1.000
1.000
1.000
1.000
0.996
0.996
0.972
1.001 1.0011.001
0.992
1.000
0.996
0.980
0.988
0.980
0.984
0.9840.988
0.988
0.992
0.992
1.000
1.000
1.000
1.000
1.000
0.996
0.996
0.972
1.001 1.0011.001
0.992
1.000
0.996
0.980
0.988
0.980
0.984
0.9840.988
0.988
0.992
0.992
1.000
1.000
1.000
1.000
1.000
0.996
0.996
0.972
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
1.0011.0011.000
0.992
0.980
0.984
0.988
0.988
0.984
0.988
0.992
0.992
0.992
1.000
1.000
0.996
0.996
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h
/rt
Tangential distance (Normalized)
SS
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.996
0.992
0.980
0.988
0.988
0.988
0.992
0.992
1.000
1.000
0.996
0.996
0.984
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
ICAER 2013, IIT Bombay
0.85 0.92
1.09 1.17
Speed ratio = 1
16
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.3591.3591.3591.3591.3591.359
1.3591.3591.3591.3591.362
1.3621.362
1.362
1.362
1.362
1.3621.362
1.362
1.362
1.365
1.365
1.365
1.359
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
(a)
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
1.368
1.362
1.365
1.374
1.3741.371
1.371
1.368
1.368
1.359
1.3591.362
1.362
1.365
1.365
1.359
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
(a)
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
1.368
1.362
1.3651.371
1.374
1.368
1.371
1.368
1.368
1.359
1.359
1.362
1.362
1.365
1.365
1.359
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS
(a)
PS
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.362
1.362
1.362
1.362
1.365
1.365
1.359
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
(a)
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
1.371 1.365
1.362
1.374
1.371
1.368
1.368
1.359
1.359
1.3621.362
1.362
1.362
1.365
1.365
1.359
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS
(a)
PS
0.85 0.92
1.09 1.17
Speed ratio = 1
ICAER 2013, IIT Bombay
Nozzle exit flow field - Entropy
17
Rotor 1 exit flow field – Total pressure
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.9760.976
0.972
0.972
0.968
0.956
0.968
0.964
0.960
0.964
0.960
0.960
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.960
0.976
0.956
0.964
0.976
0.972
0.9720.956
0.9680.968
0.964
0.960
0.964
0.960
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960 0.960
0.9600.964
0.976
0.976
0.968
0.972
0.972
0.968
0.956
0.9680.964
0.964
0.960
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.964
0.9760.976
0.960
0.972
0.972
0.968
0.9600.960
0.956
0.968
0.964
0.964
0.960
0.960
0.960
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960 0.976
0.976
0.960
0.972
0.972
0.968
0.960
0.956
0.968
0.9640.964
0.960
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
0.85 0.92
1.09 1.17
Speed ratio = 1
ICAER 2013, IIT Bombay
18ICAER 2013, IIT Bombay
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
1.6901.690
1.170 1.300 1.430
0.520
0.390
1.430
0.650
1.300
1.690
1.560
0.520
1.300
1.430
0.6501.300
0.780
1.430
1.430
0.910
1.040
1.170
1.560
1.300
1.430
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS
1.560
0.520
1.430
0.390
1.3001.3001.300
1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
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1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
1.690
1.0401.0401.0401.170
1.3001.3001.300
1.560
1.560
1.430
1.430
1.560
0.520
1.430
0.390
1.3001.3001.300
1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
1.690
1.0401.0401.0401.170
1.3001.3001.300
1.560
1.560
1.430
1.430
1.560
0.520
1.430
0.390
1.3001.3001.300
1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
1.690
1.0401.0401.0401.170
1.3001.3001.300
1.560
1.560
1.430
1.430
1.560
0.520
1.430
0.390
1.3001.3001.300
1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
1.690
1.0401.0401.0401.170
1.3001.3001.300
1.560
1.560
1.430
1.430
1.560
0.520
1.430
0.390
1.3001.3001.300
1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
1.690
1.0401.0401.0401.170
1.3001.3001.300
1.560
1.560
1.430
1.430
1.560
0.520
1.430
0.390
1.3001.3001.300
1.690
1.560
0.650
1.300
1.430
0.520
1.170
1.560 0.650
0.650
1.430
1.560
0.7800.780
1.690
1.0401.0401.0401.170
1.3001.3001.300
1.560
1.560
1.430
1.430
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
1.560
1.040
1.170
0.3901.690 1.560
1.3001.3001.300
0.520
0.520
1.430
1.3001.3001.300
1.560
1.430
1.430
1.170
1.5601.430
0.650
0.6500.780
0.780
0.780
1.430
1.690
1.040
1.040
1.040
1.170
1.5601.300
1.300
1.3001.300
1.430
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
1.560
1.560
0.260
1.5600.3901.690
1.3001.3001.3001.300
0.520
0.390
1.690
1.3001.3001.300
1.560
1.5601.560
0.520
1.430
0.650
0.650
0.780
1.430
1.430
0.910
1.0401.0401.040
1.170
1.560
1.3001.3001.300
1.430
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
1.560
0.260
1.560
1.690
1.430
1.5601.690
1.3001.3001.300
0.390
0.390
1.300
0.520
0.520
1.560
1.430
0.650
1.4300.780
1.430
0.910
1.040
1.0401.0401.040
1.170
1.5601.3001.3001.300
1.430
1.430
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
0.85 0.92
1.09 1.17
Speed ratio = 1
Rotor 1 exit flow field - Velocity
19
Rotor 1 exit flow field – Entropy
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
1.389
1.362
1.365
1.368
1.386 1.3621.359
1.359
1.365
1.3801.362
1.380
1.365
1.377
1.3591.374
1.371
1.368
1.362
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
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1.362
1.380
1.365
1.377
1.374
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1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
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1.362
1.380
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1.377
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1.371
1.368
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1.3621.3621.362
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1.359 1.386
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1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
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1.362
1.380
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1.377
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1.371
1.368
1.365
1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
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1.377
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1.371
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1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359 1.386
1.3801.380
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1.362
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1.377
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1.3621.3621.362
1.362
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1.3681.362
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1.359 1.386
1.3801.380
1.383
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1.362
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1.377
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1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
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1.377
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1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359 1.386
1.3801.380
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1.362
1.380
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1.377
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1.3621.3621.362
1.362
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1.3681.362
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1.359 1.386
1.3801.380
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1.3621.3621.362
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1.3681.362
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1.359 1.386
1.3801.380
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1.3621.3621.362
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1.3681.362
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1.359 1.386
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1.3621.3621.362
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1.3621.3621.362
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1.359 1.386
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1.3621.3621.362
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1.359 1.386
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1.3621.3621.362
1.362
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1.359 1.386
1.3801.380
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1.3621.3621.362
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1.359 1.386
1.3801.380
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1.3621.3621.362
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1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
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1.377
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1.371
1.368
1.365
1.3621.3621.362
1.362
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1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
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1.371
1.368
1.365
1.3621.3621.362
1.362
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1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
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1.362
1.371
1.368
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1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359 1.386
1.3801.380
1.383
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1.362
1.380
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1.371
1.368
1.365
1.3621.3621.362
1.362
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1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
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1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
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1.362
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1.3621.3621.362
1.362
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1.3681.362
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1.359 1.386
1.3801.380
1.383
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1.362
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1.377
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1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
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1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
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1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
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1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
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1.377
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1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
1.3621.3621.362
1.362
1.365
1.3681.362
1.389
1.365
1.359
1.359 1.386
1.3801.380
1.383
1.359
1.362
1.380
1.365
1.377
1.374
1.362
1.371
1.368
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
1.3651.368
1.3891.362
1.362
1.359
1.362
1.365
1.386
1.3621.380
1.383
1.365
1.365
1.359
1.377 1.374
1.371
1.371
1.362
1.368
1.365
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.3651.368
1.389
1.368
1.368
1.362
1.386
1.359
1.359
1.380
1.383
1.380
1.362
1.359
1.377
1.3651.374
1.371
1.368
1.3621.365
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
PS SS
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
1.362
1.368
1.368
1.389 1.3621.3861.359
1.359
1.380
1.383
1.362
1.359
1.365
1.377
1.374
1.371
1.368
1.362
1.365
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
PS
r h/r
t
Tangential distance (Normalized)
SS
0.85 0.92
1.09 1.17
Speed ratio = 1
ICAER 2013, IIT Bombay
20ICAER 2013, IIT Bombay
Rotor 2 exit flow field – Total pressure
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.944 0.9600.960
0.9400.940
0.956
0.9440.944
0.956
0.9480.9480.952
0.952
0.952
0.940
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.9640.944
0.960
0.960
0.956
0.9440.944
0.956
0.952
0.9520.948
0.9480.948
0.940
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.944
0.952
0.9600.956
0.948
0.944
0.956
0.952
0.9480.9480.948
0.952
0.940
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS
0.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.9400.952
0.960
0.960
0.956
0.944
0.956
0.952
0.948
0.952
0.940
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.9600.960
0.9560.944
0.956
0.948
0.952
0.952
0.944
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
0.85 0.92
1.09 1.17
Speed ratio = 1
21ICAER 2013, IIT Bombay
Rotor 2 exit flow field - Velocity
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
1.300
1.820
1.040
0.260
1.560
1.820
0.5200.780
1.040
1.300
1.560
1.040
1.300
0.780
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
PS
r h/r
t
Tangential distance (Normalized)
SS
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
1.8201.560
0.260
1.8200.5200.780
0.780
1.0401.040
1.3001.300
1.560
1.560
1.0401.040
1.3001.300
0.780
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
1.560
1.5600.260
1.820
0.5200.780
0.780
1.0401.040
1.300
1.3001.560
1.0401.040
1.3001.300
0.780
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
1.820
1.560
1.820
0.520
0.7800.7801.040
1.0401.300
1.300
1.560
1.040
1.0401.0401.300
1.300
0.780
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
1.8201.820
1.5600.2600.520
0.780
0.7801.040
1.040
1.3001.300
1.560
1.0401.040
1.3001.300
0.780
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
0.85 0.92
1.09 1.17
Speed ratio = 1
22ICAER 2013, IIT Bombay
Rotor 2 exit flow field – Entropy
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
1.395
1.365
1.386
1.365
1.362
1.395
1.362
1.362
1.392
1.389
1.386
1.383
1.380
1.380
1.377
1.374
1.371
1.365
1.3651.365
1.368
1.362
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/rt
Tangential distance (Normalized)
SS
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
1.3861.3861.383
1.3681.368
1.374
1.398 1.398
1.368
1.395
1.395 1.392
1.389
1.365
1.386
1.365
1.365
1.383
1.380
1.377
1.374
1.368
1.371
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS PS
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
1.365
1.383
1.3711.374
1.362
1.395
1.392
1.365
1.389
1.386
1.383
1.380 1.377
1.374
1.365
1.371
1.368
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
1.395
1.374
1.365
1.362
1.362
1.392
1.389
1.362
1.3861.383
1.383
1.380
1.380
1.377
1.374
1.371
1.368
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
r h/r
t
Tangential distance (Normalized)
SS
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
1.380
1.395
1.362
1.374
1.362
1.3921.389
1.3861.383
1.380
1.377
1.374
1.371 1.368
1.365
0.0 0.2 0.4 0.6 0.8 1.0
0.80
0.85
0.90
0.95
1.00
SS
r h/r
t
Tangential distance (Normalized)
PS
0.85 0.92
1.09 1.17
Speed ratio = 1
23
0.09 0.10 0.11 0.12 0.13 0.140.12
0.16
0.20
0.24
0.28
0.32
0.36
0.40
0.44
SE
LC
at
roto
r 1
ou
tlet
r/rt
0.85 0.92 1 1.09 1.17
0.09 0.10 0.11 0.12 0.13 0.140.12
0.16
0.20
0.24
0.28
0.32
0.36
0.40
0.44
SE
LC a
t rot
or 2
out
let
r/rt
0.85 0.92 1 1.09 1.17
Enthalpy loss coefficient at the exit of rotor 1 and rotor 2
ICAER 2013, IIT Bombay
For the speed ratios less than 1, loss coefficient increased for all the flow rates for rotor 1.
Energy loss coefficient in case of the second rotor varied significantly in all the speed ratios considered in the present work.
For the speed ratio greater than 1, i.e., when the speed of the rotor 2 is less than rotor 1, enthalpy loss is less for all the mass flow rates.
For speed ratio less than 1, reduced loss is observed for rates less than the mean mass flow.
24
TKE at the exit of rotor 1 and rotor 2
0.09 0.10 0.11 0.12 0.13 0.140.000
0.005
0.010
0.015
0.020
0.025
0.030
TK
E a
t ro
tor
1 o
utl
et
r/rt
0.85 0.92 1 1.09 1.17
0.09 0.10 0.11 0.12 0.13 0.140.000
0.005
0.010
0.015
0.020
0.025
0.030
TK
E a
t ro
tor
2 o
utl
et
r/rt
0.85 0.92 1 1.09 1.17
ICAER 2013, IIT Bombay
For the ratios of 0.85 and 0.92, TKE is more when compared with the case of speed ratio 1 in both rotor 1 and rotor 2.
In case of rotor 2, TKE is considerably less in case of speed ratios 1.09 and 1.17
Beneficial effect of the speed ratios 1.09 and 1.17
25
Efficiency with speed ratio
0.09 0.10 0.11 0.12 0.13 0.140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Eff
icie
ncy
of
CR
T
Equivalent mass flow rate
0.85 0.92 1 1.09 1.17
(a)
0.09 0.10 0.11 0.12 0.13 0.140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Eff
icie
ncy
of
Ro
tor
1
Equivalent mass flow rate
0.85 0.92 1 1.09 1.17
(b)
0.09 0.10 0.11 0.12 0.13 0.140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Eff
icie
ncy
of
Ro
tor
2
Equivalent mass flow rate
0.85 0.92 1 1.09 1.17
(c)
ICAER 2013, IIT Bombay
26
Effect of speed ratio ranging from 0.85 to 1.17 on the flow field and performance of a counter rotating turbine is studied.
No variation is observed in the exit flow pattern of the nozzle. In rotor 1, passage losses changed considerably with speed ratio.
Tip clearance losses varied in case of rotor 2 as the speed ratio is altered.
Improved performance of rotor 2 is observed in all the cases considered when compared with the case of speed ratio 1.
Results confirm that the performance of CRT can be enhanced by operating it with rotors running at different speeds of rotation.
Conclusions
ICAER 2013, IIT Bombay
27
References
1. Wintucky, W.T., and W.L. Stewart (1957)Analysis of two-stage counter-rotating turbine efficiencies in terms of work and speed requirements, NACA, RM E57L05.
2. Louis, J.F. (1985) Axial flow contra-rotating turbines, ASME paper, 85-GT-218. 3. Ji, L.C., Quan, X.B., Wel, L, and Xu, J.Z. (2001) A vaneless counter rotating
turbine design towards limit of specific work ratio, ISABE paper, 2001-1062. 4. Zhao, Q.J., Wang, H.S., Zhao, X.L., and Xu, J.Z. (2007) Numerical analysis
of 3-D unsteady flow in a vaneless counter rotating turbine, Journal of Engineer-ing Thermophysics, 1(3), pp. 352-358.
5. Sharma, P.B., Pundhir, D.S., and Chaudhary K.K. (1991) A study of speed ratio affecting the performance of a contra rotating axial compressor stage, De-fence Science Journal, 41(2), pp.165-180.
6. Chen, Y.Y., Liu, B., Xiuan, Y., and Xiang, X-R (2008) A study of speed ratio affecting the performance of a contra-rotating axial compressor, Journal of Aero-space Engineering¸222, pp. 985-991.
7. Dring, R.P., Joslyn, H.D., and Blair M.F. (1987) The effect of inlet turbulence and rotor/stator interactions on the aerodynamics and heat transfer of large scale rotating turbine model. NASA Report,CR-179469.
8. Shigemitsu, T., A. Furukawa, S. Watanabe, K. Okuma and J. Fukutomi (2007) Experimental analysis of internal flow of contra-rotating axial flow pump. Proceedings of the 8th International Symposium on Experimental and Computa-tional Aerothermodynamics of Internal Flow, ISAIF8-0034.
ICAER 2013, IIT Bombay
Thank You
29Efficiency of CRT, Rotor 1 and Rotor 2 with flow rate
Hm
Poutput
0.09 0.10 0.11 0.12 0.13 0.140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Eff
icie
ncy
of
roto
r 1
Equivalent mass flow rate
0.09 0.10 0.11 0.12 0.13 0.140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Eff
icie
ncy
of
CR
T
Equivalent mass flow rate
0.09 0.10 0.11 0.12 0.13 0.140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Eff
icie
ncy
of
roto
r 2
Equivalent mass flow rate
ICAER 2013, IIT Bombay
30
Geometry preparation
Nozzle blade Hub
Periodic surface 1
Periodic Surface 2
Nozzle inlet
Nozzle outlet
Shroud
Nozzle
Rotor 1 Rotor 2
CRT
ICAER 2013, IIT Bombay
31
Change in enthalpy,
Pressure coefficient,
Torque from rotor, Power output,
Efficiency,
SELC
Formulae
1
1 1
inlet
outletp P
PTCH
60
2 rTNP
Hm
Poutput
)(model
totalCFXr n
nTT
outstaticinlettotal
outstaticp PP
PPC
,,
,
VelocityVelocity
TTC sP
**5.0
)(* 22
ICAER 2013, IIT Bombay
32
Mesh generation
Leading edge Trailing edge
Nozzle blade
Rotor 1 Rotor 2
33
0.0 0.5 1.0 1.5 2.00.0
0.5
1.0
1.5
2.0
2.5
Ab
solu
te v
elo
city
at
no
zzle
exi
t
Tangential distance (Normalized)
Dring et al.(1987), Avg. = 2.049 Simulation, Avg. = 2.064
0.0 0.5 1.0 1.5 2.00.0
0.4
0.8
1.2
1.6
2.0
2.4
Rel
ativ
e ve
loci
ty a
t ro
tor
exit
Tangential distance (Normalized)
Dring et al. (1987), Avg. = 1.786 Simulation, Avg. = 1.761
Absolute velocity distribution at the exit of nozzle. Relative velocity distribution at the exit of rotor.
0.0 0.2 0.4 0.6 0.8 1.0-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
Simulation Dring et al.(1987)
Pre
ssu
re c
oef
fici
ent,
Cp
x/a 0.0 0.2 0.4 0.6 0.8-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
Simulation Dring et al.(1987)
Pre
ssu
re c
oef
fici
ent,
Cp
x/a
Cp distribution of rotor. Cp distribution of nozzle.
34
0.0 0.2 0.4 0.6 0.8 1.0
-1.0
-0.5
0.0
0.5
1.0
Pre
ssu
re c
oef
fici
ent,
Cp
x/a
Exptl k-epsilon komega SST
ICAER 2013, IIT Bombay
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