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ME 4731 Power Plants
Dr.-Ing. Haitem Hichri
1
Salman UniversityCollege of Engineering at Alkharj
Mechanical Engineering Department
ME 4731 Power Plants
Lecture Notes
Chapter 5: Steam Turbines
Dr.-Ing. Haitem Salem Hichri
1
2
The Steam Turbine
The more modern method of extracting mechanical energy fromthermal energy is the steam turbine.
Steam turbines have been the norm in various land based powerplants for many years.
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The Steam Turbine
The more modern method of extracting mechanical energy fromthermal energy is the steam turbine.
Steam turbines have been the norm in various land based powerplants for many years.
water turbines are categorized into impulse and reaction turbines.
4
How To Provide A Mass Flow Rate (Impulse Turbine)
Area for Flow of Fluid.
Proportional to the Length of the Blade.
More Number of Blade Spacing.
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Analysis of Simple Stationary Impulse Blade
Consider a stationary 180 degreecurved blade.
A jet with a velocity Vi incidence onthe blade.
The blade deflects the jet along itssurface and finally the jet leaves with avelocity Ve.
The magnitude of velocity vectorremains unchanged.
However, the direction changesthrough 180 degrees.
Ve = - Vi The change in velocity : - 2 Vi. A jet with a finite mass flow rate will
experience a rate of change ofmomentum, FA:
( )iA VmF 2=
The force acting on the blade:
( )iR
VmF 2
=
However, this force cannot develop any motive power.
Vi
Ve
FA
FR
6
U
Vri
Vre
Vai
UVri
Vai
Inlet Velocity Triangle
U
VreVae
Exit Velocity Triangle
Analysis of Simple Moving Impulse Blade
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Vri = Vai - U
Vre = -Vri
U
Vae = Vre -U
Vai
Analysis of Simple Moving Impulse Blade
( ) UVUUVUVV aiairiae 2===
( )UVVVV airire == 2
( )
( )UVmVmF
UVmVmF
aiR
aiA
==
==
2
2
( )UUVmP
VUmUFP
aib
Rb
=
==
2
8
Kinetic power lost by the jet :
( ) { }( )2222 222
UVVm
VVm
KP aiaiaeai ==
Power lost by jet = Power gained by the Blade
( )UUVmKP ai =
2
Thermodynamic efficiency of an impulse blade :2
2
= aimV
KPinput
Initial Power of the jet :
( ) ( )
=
=
=
=
2
22
. 44
2
2
aiai
aiai
input
bladeiV
U
V
U
V
UUV
Vm
UUVm
KP
KP
aiai
An efficient impulse blade is bulky Suitable for Dense fluids
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ME 4731 Power Plants
Dr.-Ing. Haitem Hichri
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Analysis of Simple Reaction Blade
Vai Vri Vre VaeU
UVV airi += UVV reae =
Change in velocity :rire VVV = ( )
( )
( )UVVmFUP
VVmF
VVmVmF
rireR
rireR
rireA
==
=
==
Motive Power Generated:
10
Thermodynamic efficiency of a Reaction blade :
( )
( )
( )
( ) 22. 2
2
2
aeae
VUVV
UVV
VmUVVm
UVVm
KPKP
KP
rire
rire
rire
rire
exitbladei +
=
+
=
+
=
( )( ) 2. 22
22
aeVUUVV
UUVV
aiae
aiaebladei
+
=
Motive Power Generated: ( )UUVVmFUP aiaeR 2==
A compact Reaction blade is inefficient Suitable for Thin fluids
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Need for Multi Staging
Temperature Pressure
Specific
Volume Enthalpy Entroypy Del h
Increse in
velocity
C Mpa cu. M kJ/kg kJ/kg K KJ/kg m/s
550 15 0.02293 3449 6.52
50 0.01235 9.492 2089 6.52 1360 1650
Mean Peripheral Speed of the Blade = 825 m/s
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Strategy for Multi Staging
Temperature Pressure
Specific
Volume Enthalpy Entroypy Del h
Increse in
velocity
C Mpa cu. M kJ/kg kJ/kg K KJ/kg m/s
550 15 0.02293 3449 6.52 93 431.3
500 11.37 0.02845 3356 6.52 91 426.6
450 8.487 0.03575 3265 6.52 92 429.0
400 6.215 0.04559 3173 6.52 91 426.6
350 4.448 0.05914 3082 6.52 92 429.0
300 3.098 0.07832 2990 6.52 91 426.6
250 2.087 0.1063 2899 6.52 92 429.0
200 1.35 0.1489 2807 6.52 195 624.5150 0.4759 0.3679 2612 6.52 248 704.3
100 0.1013 1.442 2364 6.52 275 741.6
50 0.01235 9.492 2089 6.52
14
Current Practice
Purely multistage impulse turbines are mainly preferredin medium capacities of power generations.(30 60 MWunits).
The main advantages are simplicity of construction, lowcosts, reliability and convenience of operation.
The height of blades in last stages of multistage turbinerapidly increase. As the volume increases, the blade height increases,
and the base of the blade spins at a slower speedrelative to the tip. This change in speed forces adesigner to change from impulse at the base, to a high
reaction style tip.
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HP Turbine Rotor
16
LP Turbine Rotor
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Velocity compounding isaccomplished in the first twostages by two rows of moving
blades between which isplaced a row of stationaryblades that reverses thedirection of steam flow as itpasses from the first to thesecond row of moving blades. The velocity is reduced in twosteps through the first two
rows of moving blades. In the moving blades, velocitydecreases while the pressureremains constant. Four pressure-compoundedstages.
Turbine with
Impulse Blading
18
3 Reaction stages arepreceded by an initialvelocity-compoundedimpulse stage where a largepressure drop occurs.
This results in a shorter, lessexpensive turbine.
In the reaction blading of thisturbine, both pressure andvelocity decrease as thesteam flows through theblades.
The graph at the bottomshows the changes inpressure and velocitythrough the various stages.
Reaction turbine
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Simple Impulse-Reaction Blade
Jet will lose power both by Impulse and Reaction.
One important and essential element in all these cases is a nozzle.
Vai
Vae
Vri
Vre
U
20
Impulse-Reaction turbine
This utilizes the principle of impulse and reaction.
There are a number of rows of moving blades attached to therotor and an equal number of fixed blades attached to thecasing.
The fixed blades are set in a reversed manner compared to themoving blades, and act as nozzles.
The fixed blade channels are of nozzle shape and there is asome drop in pressure accompanied by an increase in velocity.
The fluid then passes over the moving blades and, as in thepure impulse turbine, a force is exerted on the blades by thefluid.
There is further drop in pressure as the fluid passes through themoving blades, since moving blade channels are also of nozzleshape.
The relative velocity increases in the moving blades.
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U
VriVai
VreVae
ii
e
e
p
vavr
The reaction effect is an addition to impulse effect.
The degree of reaction
stagein thedropenthalpyThebladesmovingin thedropenthalpyThe=
22
First law for fixed blades:
0 1 22
2
0
2
101
VVhh
=
First law for moving blades:
2
2
1
2
21
2 rVV
hhr
=
22
2
1
22
0
2
2021 r
VVVVhh r
+
=
22
2
1
22
0
2
120
2 raVVVV
hh r
+
=
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Compound Turbines
Compound turbines have more than one cylinder:1. a high-pressure and2. a low-pressure turbine.
The low-pressure cylinder is usually of the double-flow type to handlelarge volumes of low-pressure steam (due to limitations on the length ofthe blades).
Large plants may have an intermediate pressure cylinder and up to fourlow-pressure cylinders.
The cylinders can be mounted along a single shaft (tandem-compound),or in parallel groups with two or more shafts (cross-compound).
Reheating is usually done between the high- and intermediate-pressureturbines.