D-A126 456 PREIMINAY MEASUREMENTS AND CODE CLCULATIOS
OF FLOM 1/3THROUGH A CASCADE OF DCA BLADING AT A SOLIDITY OF 167(U) NAVAL POSTGRADUATE SCHOOL MONTEREY CA W D MOLLOY
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THESISPRELIMINARY MEASUREMENTS AND CODE
CALCULATIONS OF FLOW THROUGH A CASCADEOF DCA BLADING AT A SOLIDITY OF 1.67
by
* William D. Molloy Jr.
LAJ June 1982
C Thesis Advisor: Rayrond P. ShreeveA4o
I
Approved for public release; distribution unlimited
0
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REPOR DOCMENTATION PAGE BEFORECMLE!N ORMu* *UPORT NUMuUR 2 6Vt AcceSS16~ S. MCCIP1iIT'S CATALOG "UN61.R
4. TT. (and SuS16116j S. TYPE OF REPORT 6 PERIOD COVERED0
Preliminary measurements and Code Master's ThesisCalculations of Flow through a Cascade June 1982of DCA Blading at a Solidity of 1 .67 S. PeRPOR~eiGa ORG. REPORT NuNSeRf
7.- AUTN0RW.) S.CONTRACT OR GRANT MSRg
LV William D. Molloy Jr.
6. 0PRPORMING 0OGNIZATION NAME ANO ADDRESS As REGAN CMCT WORK ~ cT T
Naval Postgraduate SchoolMonterey, California 93940
1 1. CONTROLLING oppicE NAME Also &Goats$ 1. REPORT DATE
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Monterey, California 9394028
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DCA Blades
* QSOU-ICA RACT (Cmut00we en ,.,w; olde of 0....ep and Mientor? 6 boo"0g 00 0)
An experimen/tal program to obtain uniform inlet flow tothe test bladinj in a large cascade facility designed to useinlet turning vines, and to measure t1~e conventional bladeelement perforn~nce, is described. A tempts to reduce non-uniformities (X1% in velocity) using screens were unsuccess-ful and so abandoned. Preliminary"Dda blade elementperformance data were obtained without screens at one
DO~ 1473 Eot-Tiof, ,09NO 66 is OBOLETs UNCLASSIFIEDSIR010-04-601SECURITY CLAWFIICATION OF THIS PAGE (Nhe ain 0Eawe
S UNCLASSIFIED
incidence angle before aero-mechanical problems with the in-let guide vane assembly curtailed testing. The blade surfacepressure distribution at the one test condition compared veryfavorably with the distribution predicted using the NASAcomputer code QSONIC. Recommendations were made that wouldavoid the aero-mechanical problems encountered. .
S
DD Forya 1473 2 UNCLASSIFIED1 i .,
O12A460 CgV 6M IAINOPvlsP4fO w FOPe
Approved for public release; distribution unlimited
Preliminary Measurements and CodeCalculations of Plow through a Cascadeof DCA Blading at a Solidity of 1.67
by
William D. Molloy Jr.Lieutenant Commander, United States NavyB.S., United States Naval Academy, 1974
Submitted in partial fulfillment of therequirements for the degree of
MASTER OF SCIENCE IN AERONAUTICAL ENGINEERING
from the
NAVAL POSTGRADUATE SCHOOLJune 1982
w
Author: L
Approved by: r/Ue(7,c / c-"Thesis Advisor
Chairm".n, o Aeronautics
lip - Dean of Science and Engineering
3
ABSTRACT
An experimental program to obtain uniform inlet flow to
the test blading in a large cascade facility designed to use4
inlet turning vanes, and to measure the conventional blade
element performance, is described. Attempts to reduce non-
uniformities (±1% in velocity) using screens were unsuccess-
ful and so abandoned. Preliminary DCA blade element
performance data were obtained without screens at one in-
cidence angle before aero-mechanical problems with the inlet
guide vane assembly curtailed testing. The blade surface
pressure distribution at the one test condition compared
very favorably with the distribution predicted using the
NASA computer code QSONIC. Recommendations were made that
would avoid the aero-mechanical problems encountered.
4
U
U
b4
!.
TABLE OF CONTENTS
I. INTRODUCTION . . . . . . . . . . . . . . . . . . . 15
II. FACILITY DESCRIPTION AND MEASUREMENT APPROACH . 20
A. SUBSONIC CASCADE WIND TUNNEL ............. 20
B. INSTRUMENTATION . . . .. .. .. .. .. .. 22
C. REFERENCE MEAS UREENT ETS... .. ....... 23
D. TEST B.ADING . . . . . . . . . . . . . . ... 23
E. DATA ACQUISITION, REDUCTION AND ANALYSIS ... 24
III. EXPERIMENTAL PROGRAM AND RESULTS . . . . . . . . . 25
A. PROGRAM OF TESTS . . . . . . .. .. .. .. .. 25
B. TEST PROCEDURES ........ .. .. .. .. 25
1. Cascade Adjustments.................25
2. Measurements. . .. .. .. .. ... .. 27
C. VERIFICATION OF INLET GUIDE VANE (IGV)AS SEMVBLY . .. .. ... .. .. ... .. .. 27
D. TESTING WITH WIRE GAUZE SCREENS...........28
E. PRELIMINARY TESTING OF DCA BLADES .......... 30
IV. DISCUSSION OF EXPERIMENTAL RESULTS . . . . . . . . 31
A. EFFECT OF INLET GUIDE VANE (IGV) MODIFICATION 31
B. EFFECT OF WIRE GAUZE SCREENS ........... 32
C. PRELIMINARY TESTING OF DCA BLADES .......... 34
1. Inlet Uniformity.................34
2. Two-Dimensionality .. .. .. .. .. .... 34
3. Periodicity.....................36
5
- - - - - -
4. Blade Performance .... ........ . 36
5. Aero-Mechanical Problems Encountered . . . 37
V. COMPUTATIONAL PROGRAM . ... ......... . 40
A. DESCRIPTION OF QSONIC ............. 40
B. APPLICATION TO THE TEST CASCADE . . . . . . . 42
C. COMPARISON OF CODE CALCULATIONS AND MEASUREDDATA . . . . . . . . . . .......... . . 43
VI. CONCLUSIONS AND RECOMMENDATIONS . . . . . . . . . 44
APPENDIX A: MODIFICATION TO THE INLET GUIDE VANESECTION OF THE SUBSONIC CASCADE WINDTUNNEL . . . . . . . . . .. 119
APPENDIX B: SELECTION AND INSTALLATION OF SCREENMATERIAL . . . . . . . . . . . . . . . . 126
APPENDIX C: CASCADE PERFORMANCE PARAMETERS (by F. S.Cina; reproduced with minor changes fromRef. 7) . . . . ................. 130
* APPENDIX D: INSTRUCTIONS FOR PREPARING INPUT ANDOPERATING QSONIC USING A RECTILINEARCASCADE CONFIGURATION. . . . ....... 132
D.1. BACKGROUND INFORMATION . ....... 132
D.2. INPUT DESCRIPTION ... .......... 134
D.3. PREPARING INPUT FILES . . . . .... 146
D.4. PROGRAM OUTPUT . . . . . . . .... 150
D.5. RUNNING THE PROGRAM .. ......... . 151
D.6. QSONIC UPDATE ............. 153
APPENDIX E: QSONIC PROGRAM LISTING ... .......... 169
LIST OF REFERENCES ....... ................... 278
INITIAL DISTRIBUTION LIST ..... ............... 280
6
LIST OF TABLES
I. MEASUREMENT UNCERTAINTY .......... . . . 47
II. CASCADE CONFIGURATION FOR DCA BLADE TESTS . ... 48
III. SUMMARY OF MEASUREMENTS WITHOUT SCREENS . . ... 49
IV. SUMMARY OF MEASUREMENTS WITH SCREENS ( = 350) 50
V. PROBE DATA, UPPER PLANE AT MIDSPAN (i = 5.30) 51
VI. PROBE DATA, LOWER PLANE AT MIDSPAN (i = 5.30) . 52
VII. CENTER BLADE DATA (i = 5 .3 O ) .......... 53
VIII. ADJACENT BLADES DATA (i = 5.301 . . ......... 54
IX. BLADE PERFORMANCE DATA .. .......... . 55
D.1. INPUT DATA FOR MESH GENERATION RUN OF OSONIC 154
D.2. TEST BLADE COORDINATES . . . .......... 155
D.3. INPUT DATA FOR FLOW SOLUTION RUN OF QSONIC . . . 156
D.4. DATA FILE FOR QUASI-3D SOLUTION . . . . . . ... 157
D.5. SAMPLE OUTPUT FROM MESH GENERATION RUN ....... 158
D.6. SAMPLE OUTPUT FROM FLOW SOLUTION RUN . . . ... 161
7
LIST OF FIGURES
1. Subsonic Cascade Facility .... ............. . 56
2. Plenum Chamber as Modified by Bartocci . . . . .. 57
3. Plenum Chamber as Modified by Moebius ....... ... 58
4. Lower PlaneSurvey Probe...... ............. 59
5. Upper PlaneSurvey Probe...... ............. 59
6. Blade Edge Detail . . ............... 60
7. Photograph of Instrumented Blade . ......... . 61
8. Instrumented Blade ..... ................ . 62
9. Instrumented Blade Tap Locations . ......... . 63
10. Data Acquisition System .............. 64
S 11. Probe Survey Data at Itidspan of Lower Plane, EndWalls at 350, Points 1 to 50, (PPLENUM - Pt)/Qref 65
12. Probe Survey Data at Midspan of Lower Plane, EndWalls at 350, Points 51 to 100, (PPLENUM - Pt)/Qref 66
13. Probe Survey Data at Midspan of Upper Plane, EndWalls at 350, Points 1 to 50, (PPLENUM - Pt)/Qref " 67
14. Probe Survey Data at Midspan of Upper Plane, EndWalls at 350, Points 51 to 100, (PPLENUM - Pt} /Qref 68
15. Probe Survey Data at Midspan of Lower Plane, EndWalls at 300, Points 1 to 50, (P - Pt re 69
16. Probe Survey Data at M4idspan of Lower Plane, EndWalls at 30° , Points 51 to 100, (PPLENUM - Pt)/Qref 70
17. Probe Survey Data at Midspan of Upper Plane, EndWalls at 300, Points 1 to 50, (PPLENUM - Pt )/Qref 71
18. Probe Survey Data at Midspan of Upper Plane, EndWalls at 300, Points 51 to 100, (PPLENUM - t)/Qref 72
8
I
19. Probe Survey Data at Midspan of Lower Plane, EndWalls at 500, Points 1 to 50, (PPLENUM - Pt)/Qref 73
20. Probe Survey Data at Midspan of Lower Plane, EndWalls at 500, Points 51 to 100, (PPLENUM - P t)/Qref 74
21. Probe Survey Data at Midspan of Upper Plane, EndWalls at 500, (PPLENUM - Pt)/Qref............... 75
22. Probe Survey Data at Midspan at Lower Plane, End
Walls at 500, Two Runs, Points 1 to 50,(PPLENUM - P t)/Qref ............................. 76
23. Probe Survey Data at Midspan at Lower Plane, EndWalls at 500, Two Runs, Points 51 to 100,
8(P PLENUM - Pt ) / Qr e f .. . . . . . . . 77
24. Probe Survey Data at Midspan at Lower Plane, EndWalls at 300, Two Runs, Points 1 to 50,(PPLENUM - Pt. / Qr e f ................ 78
25. Repetitive Samples with Fixed Probe Position (10"Left of CTR Midspan, End Walls 300, Lower Plane,(PPLENUM - PAMB ) / Qref ) 79
26. Repetitive Samples with Fixed Probe Position, 10"7Left of CTR, Midspan, End Walls at 300, Lower
Plane (P - AMB ) / Qref ........... 80
27. Repetitive Samples with Fixed Probe Position, 10"Left of CTR, Midspan, End Walls at 300, LowerPlane (PPLENUM - Pt)/Qref ............. 81
28. Repetitive Samples with Fixed Probe Position (onCenterline at Midspan, End Walls at 300, LowerPlane (PPLENUM - PAMB ) / Qr e f ) . . . . . . . . . . . 82
29. Repetitive Samples with Fixed Probe Position (onCenterline at Midspan, End Walls at 300, LowerPlane (Pt - PAMB)/Q r e f ) 83
30. Repetitive Samples with Fixed Probe Position (onCenterline at Midspan, End Walls at 300, LowerPlane (PPLENUM - P.t. / Qr e f ) .............. ... 84
31. Repetitive Samples with Fixed Probe Position (10"Right of CTR Midspan, End Walls at 300, LowerPae(PPLENUM - PAMB ) / Qref) ........... 8Plane(PLNM- /ref).............. .. 85
32. Repetitive Samples with Fixed Probe Position (10"Right of CTR Midspan, End Walls at 300, LowerPlane (Pt - P AMB)/Q r e f ) .............. 86
9
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33. Repetitive Samples with Fixed Probe Position (10"Right of CTR Midspan, End Walls at 300, LowerPlane (PPLENUM - Pt..Q ref ............... ... 87
34. Probe Survey Data at Midspan, Lower Plane, 16 Mesh
Screen, Walls at 350, Points 1 to 50,(PPLENUM - Pt)/Qref ................ 88
35. Probe Survey Data at Midspan, Lower Plane, 16 MeshScreen, Walls at 350, Points 51 to 100,(P.PLENUM - re f .. ....... ....... 89
36. Probe Survey Data at Midspan, Upper Plane, 16 MeshScreen, Walls at 350, Points 1 to 50,(PPLENUM - Pt)/Qref............... 90
37. Probe Survey Data at Midspan, Upper Plane, 16 MeScreen, Walls at 350, Points 51 to 100,
..PLENUM -..t)/Qref............... 91
38. Probe Survey Data Span Traverse, Lower Plane, 16uMesh Screen, Walls at 350, 10" Left of CTR,
(PPLENUM - Pt)/Qref *.. *'*** ********* 92
39. Probe Survey Data Span Traverse, Lower Plane, 16Mesh Screen, Walls at 350, Center of Test Section,(PPLENUM - Pt)/Qref ................ 93
40. Plane Survey Data Span Traverse, Lower Plane, 16Mesh Screen, Walls at 350, Center of Test Section,(PPLENUM - Pt)/Qref ................ 94
41. Probe Survey Data at Midspan, Lower Plane, 16 Meshand 2 Mesh, Walls at 350, Points 1 to 50,(PPL M - Pt)/Qef ................ 95
42. Probe Survey Data at Midspan, Lower Plane, 16 Meshand 2 Mesh, Walls at 350, Points 51 to 100,(P.PLENUM - Pt /Q re f ................ 96
43. Probe Survey Data at Midspan, Lower Plane, 4 MeshScreen, Walls at 350, Points 1 to 50,(P.. .- Pt)/Q. ................ 97
44. Probe Survey Data at Midspan, Lower Plane, 4 MeshScreen, Walls at 350, Points 51 to 100,(PPLENUM - Pt)/Qref ............................. 98
45. Probe Survey Data at Midspan, Lower Plane, 5 MeshScreen, Walls at 350, Points 1 to 50,(P.PLENUM - P.t)/Qref 99
10
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46. Probe Survey Data at Midspan, Lower Plane, 5 MeshScreen, Walls at 350, Points 51 to 100,(P PLENUM . . ....... .. 100
47. Wall Static Pressure Distribution ........... 101
48. Probe Survey Data at Upstream Midspan (i = 5.3,P PLENUM - P lULower Plane). ............ 102
49. Blade Surface Pressure Distribution on ThreeCenterinost Blades (i = 5.3) ............. 103
50. Probe Survey Data at Midspan (i = 5.3,(PPLENUM - Pt)/Qref Upper Plane).... ............ 104
51. Probe Survey Data at Midspan (i = 5.3, (X/), UpperPlane) .................... . 105
52. Probe Survey Data at Midspan (i = 5s3, sPwl) el,Upper Plane) ............... ......... 106
53. Probe Survey Data at Midspan (i = 5.3, Outlet Angle,Upper Plane) ........................ 107
54. Spanwise Probe Data Surveyed 1 in. from Suction Sideof Centermost Blade (i -5.3, (PPEU - PtA1Upper Plane) ........ .................... . 108
55. Spanwise Probe Data Surveyed 1 in. from Suction Sideof Centermost Blade (i 5.3, X/Y, Upper Plane).. 109
56. Spanwise Probe Data Surveyed 1 in. from PressureSide of Centermost Blade Ci = 5.3, (PN NM- P t '
Upper Plane) ........ .................... 110
57. Spanwise Probe Data Surveyed 1 in. from PressureSide of Centermost Blade Ci = 5.3, X, Upper Plane) 11).
58. Resultant Blade Force Vectors by Momentum Balance5 ------s Pand from Surface Pressure Integration
)i = 5.3.... .................... 112
59. Measured Blade Surface Pressure Distribution (i =53, Pressure Side, + = Suction Side) .............. 113
60. Measured Blade Surface Velocity Distribution (i =5.3, * = Pressure Side, + = Suction Side) . .... 114
61. 2D Code Blade Surface Mach Number Distribution(i = 5.3) .......... ..................... 115
11
62. 3D Code Blade Surface Mach Number Distribution(i = 5.3) . .. .. .. .. .. .. ... .. .... 116
r63. Measured Blade Surface Mach Number Distribution(i - 5.3)......................117
64. Blade Surface Mach Number Distribution (i=5.3) 118
A.l. Inlet Guide Vane Assembly .. .. .. .. .. .... 121
A.2. Cascade Wind Tunnel Sub-Assemblies ........... 122
A.3. View of th IGV Adjustment Mechanism. ........ 123
A.4. Side View of the IGV Assembly.............124
A.5. View of the Subsonic Cascade Wind Tunnel (NorthWall Removed)............ . .. .. .... 125
3.1. Screen Installation. .......... ... .. 129
D.l. Blade Coordinates .......... .. ... .. 167
D.2. Blade Coordinates Translated and Rotated.......167
D.3. Mesh Points on Blade Surface, Horizontal Chord . 168
D.4. Mesh POints on Blade Surface, Chord at Stagger
Angle ........ . .......... . . .. .. 168
12
LIST OV SYMBOLS
AVDR Axial velocity-density ratio
CPl Coefficient of pressure at the inlet
CP2 Coefficient of pressure at the outlet
CPSTATIC Coefficient of static pressure rise
C Blade chord (inches)
D Diffusion factor
i Incidence angle (degrees)
P Pressure (in. H2 0)
Q Dynamic pressure (in. H2 0)
T Temperature (0R)
V7 X Non dimensional velocity
8 Air ahgle, measured in the cascade midspan planewith respect to the axial direction (degrees)
y Stagger angle
K~a Solidity (C/S)
Loss coefficient
Subscripts
amb Ambient
P Pressure
PLENUM Plenum (supply)
s Static
wl North wall, lower plane
13
ACKNOWLEDGMZNT
I would like to express my sincere thanks and apprecia-
tion to Dr. R. P. Shreeve, Director, Turbopropulsion Labora-
tory, for his guidance during the project. His affable
nature and professional expertise made this study a most
enjoyable learning experience.
A special note of thanks to Jim Hammer, Al McGuire, John
Morris and Kelly Harris. Without their prompt and efficient
help, this study would not have been possible.
Lq.
14
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I. INTRODUCTION
The need for lightweight, fuel efficient gas turbines
that are capable of developing large amounts of thrust or
power has motivated a continuing drive to obtain more ac-
curate predictions of the flow through turbomachinery.
Cascade testing of blade rows has, in the past, been a logi-
cal and relatively inexpensive way to learn more about the
phenomena involved in the flow through compressor and tur-
9 bine stages. It is required more today in order to verify
two dimensional and near-two dimensional analysis codes for
flow through cascades. Such testing also provides two-
dimensional blade element performance data which, in the
absence of reliable analytical predictions, are required in
the design of compressors and turbine stages. Reference 1
describes how cascade measurements are obtained using a cas-
cade wind tunnel and then used in the design process.
Before subsonic cascade wind tunnel data can be accepted
* as being valid, the flow conditions must meet three require-
ments. These criteria are discussed in detail in Refs. 1, 2
and 3. First, any disturbance in the airflow should be
caused by the test blades; that is, the inlet flow to the
test section must be acceptably uniform.
Secondly, the measured flow characteristics should,
ideally, be independent of spanwise position along the test
15
blades. The flow, ideally, should be two dimensional.
Duval [Ref. 3] demonstrated that excellent flow conditions
could be achieved in the Naval Postgraduate School Turbo-
propulsion Laboratory (NPS/TPL) Subsonic Cascade Wind Tunnel
using test blades with an aspect ratio of approximately two.
The absence of suction along the walls results however, in
some degree of streamline contraction which is measured in
terms of an Axial Velocity Density Ratio (AVDR).
The third requirement which must be satisfied is the
periodicity of the inlet flow to the test section and of the
outlet flow. Within one chord length of the leading edges
of the test blades an upstream perturbation occurs as the
streamlines adjust to negotiate the blade passages. Since
the rectilinear cascade is simulating an infinite cascade of
blades, the flow characteristics should be the same at cor-
responding axial and blade-to-blade positions within each
blade passage. This same condition should be true at any
measurement plane downstream of the test blading.
As described by Rose and Guttormsen [Ref. 41 several
* unique features were incorporated into the design of the
NPS/TPL Cascade to ensure a two-dimensional and periodic
flow at the test blading. Initial evaluations of the fa-
* cility were conducted and reported in Refs. 3, 4, 5 and 6.
Work by Moebius [Ref. 6] involved modifications to the tun-
nel plenum chamber which established satisfactory uniform
16
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flow at the exit of the belimouth contraction into the test
section.
In order to maintain an aspect ratio close to 2.0 at a
solidity of 1.67 Cina [Ref. 7), following the work of Duval
[Ref. 3], used a cascade configuration of 20 blades with 3
inch spacing. Cina conducted a program of tests of OCA
blading at five (5) different air incidence angles. With
this cascade configuration, Cina found that the inlet flow
to the test section was uniform in direction and of uniform
static pressure, but with an imposed variation in velocity
* and stagnation pressure resulting from the wakes of inlet
guide vanes. Although excellent periodicity was found over
pairs of test blades, departure from strictly periodic con-
ditions were detected from one blade passage to another.
Cina explained this condition as being the result of the
inlet guide vane wakes being separated at two inch intervals
and entering a test section configured with a three inch
blade spacing. Because of these flow conditions, Cina con-
sidered his results to be preliminary.
* As a result of these findings the Cascade Wind Tunnel
was modified so that inlet guide vanes were provided at one
inch intervals. The object of the study reported herein
was to obtain blade performance data on Cina's cascade with
good periodic and uniform flow conditions. A necessary
condition was to obtain agreement in the results for blade
forces evaluated from surface pressures and from a momentum
17
* balance. A second objective was to compare measured blade
surface Mach numbers with the results of code calculations.
At the outset, it was first necessary to carry out an
extensive testing program to verify the new inlet guide vane
section and the effect the new spacing had on flow uni-
formity and periodicity. It was found that the uniformity
of dynamic pressure was improved with the inlet guide vanes
spaced at one inch intervals. Attempts were made to further
improve the flow by the use of (various) wire screens placed
downstream of the inlet guide vanes. These methods proved
unsuccessful for the range of parameters tested and in fact
aggravated the situation.
Cina's testing of the Double Circular Arc blading was
pi repeated without screens and with the Cascade Wind Tunnel
configured with the modified inlet guide vane arrangement.
Limited measurements were obtained before aero-mechanical
problems with the new IGV arrangement, at the higher tunnel
speeds, were encountered.
The overall purpose of the testing program initiated by
Cina was to obtain data with which to verify design optimi-
zation computer codes developed by NASA. Towards this goal
a fast, reliable computer analysis code (QSONIC) for cal-
culating the flow field about a cascade of arbitrary 2-D
airfoils was obtained from NASA. The code was adapted and
modified to run on the Naval Postgraduate School's IBM
370/3033 computer.
18
The program QSONIC was developed by NASA to overcome the
Mach number limitations of the earlier program TSONIC (Ref.
81. QSONIC is described in Ref. 9. Procedures for using
the program QSONIC at the Naval Postgraduate School's com-
puter facility are given in Appendix D. The procedures are
documented for the case of the DCA blading in the NPS/TPL
cascade wind tunnel. A program listing is included to docu-
ment changes made to the code in order to adapt to the oper-
ating system of the NPS computer.
Preliminary results show that experimental measurements
and code predictions are in very good agreement.
19
II. FACILITY DESCRIPTION ATD MAS'URMET APPROPCH
A. SUBSONIC CASCADE WIND TUNNEL
The Naval Postgraduate School's Rectilinear Cascade
Facility is shown in Fig. 1. A description of the facility
as it was originally configured is given in Ref. 4. The
test facility is an open cycle wind tunnel, designed for
the purpose of testing cascades of axial-flow turbomachinery
compressor or turbine blades. The unique design of the test
section ensures that the airflow paths from the inlet guide
vanes to all of the blades of the cascade test section are
of equal length. This particular design was intended to
eliminate the problems found in other cascade wind tunnels
caused by having wall boundary layers ot different thick-
nesses entering the cascade at different points.
As a result of the work reported in Ref. 1, two fine
mesh screens were installed at the bellmouth entrance to
improve flow stability. A follow-on study into the cascade
performance was conducted by Bartocci and is reported in
Ref. 5. As a result of Bartocci's findings, plenum turning
vanes were installed to direct plenum inlet air towards the
bellmouth entrance and to decrease the total pressure fluc-
tuations present at the bellmouth entrance. Figure 2 shows
the configuration of the plenum chamber as modified by Bar-
tocci. Reference 6 describes work by Moebius that resulted
20
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U
in further modification to the plenum chamber in which the
original contraction was changed to two two-dimensional con-
tractions in series. After this modification, acceptably
small variations in velocity and flow angle were measured
at the inlet guide vane station. Figure 3 shows the in-
ternal arrangement of the plenum chamber as modified by
\ Moebius and as it was configured for the work presented
here.
Using the plenum configuration shown in Fig. 3, Duval
[Re4J3] found that the wakes from the inlet guide vanes
were not mixed out at the lower measuring plane of the test
section but gave a well defined periodic variation in the
impact pressure. The peak-to-peak variation was ±4% of
dynamic pressure over two-inch periodic intervals. This
condition was undesirable, but was tolerated while looking
only to establish the values of parameters required to
li achieve two-dimensionality and periodicity. Since the
inlet flow conditions were not uniform, mass averages were
used to calculate properties at the inlet plane from probe
* measurements.
In order to achieve a solidity of 1.67 and aspect ratio
of about 2, a blade spacing of 3 inches was required for the
tes'a carried out by Cina (Ref. 7]. The tests showed unac-
ceptable departures from blade-to-blade periodicity under
conditions of high blade loading and the installation of
q additional guide vanes was recommended. The modification
21
to the inlet guide vane section of the tunnel resulting from
Cina's findings is described in detail in Appendix A.
In the present work, several tests were completed with
the tunnel further modified by the introduction of wire
screens between the inlet guide vanes and the lower plane of
the test section. Appendix B describes the screen material
and the criteria used to select the particular screens used
in this study.
B. INSTRUMENTATION
The instrumentation used in the present study is that
*whicA is described in detail in Ref. 7. Twenty static pres-
sure taps were located on the north and south side walls.
The taps on the south wall were connected to a water mano-
meter board so that the uniformity of the static pressure
distribution of the inlet and outlet could be monitored
visually. Additionally, one upstream tap on each wall and
one downstream tap on each wall (near the centerline) were
also connected to the Scanivalve so that these static pres-
sures were recorded.
Figure 4 shows the probe that was used for the upstream
survey (at the lower plane). The probe was a United Sensor
Corporation DA 125 probe, serial number A847-1, calibrated
earlier at various Mach numbers and yaw angles in a cali-
bration facility. The United Sensor Corporation DC-125-24-
F-22-CD probe, serial number A981-2 (Fig. 5), which was used
22
at the upper plane was similarly calibrated. The charac-
teristics of the probes were approximated analytically to
facilitate automatic data reduction procedures. The cali-
bration and application procedures were those given by Duval
[Ref. 3]. Appendix B of Ref. 3 describes both the upstream
and downstream probes in detail. The mounting and traversing
mechanisms are described in Ref. 7.
C. REFERENCE MEASUREMENTS
Plenum chamber (supply) pressure and temperatures, and
atmospheric pressure were recorded on each data scan.
S Plenum pressure was also displayed on a water manometer
board. The total temperature in the test cascade was as-
sumed to be the same as the plenum chamber temperature.
D. TEST BLADING
The double circular arc test blading modeled the midspan
IN I section of the stator of the compressor stage reported in
Ref. 10. Coordinates describing the profile of the blading
are listed in Table D-2. The leading edge and trailing edge
* are shown in detail in Fig. 6. A photograph of the center-
most blade is shown in Fig. 7.
The three blades centrally located in the cascade were
* constructed with surface pressure taps along the midspan
section as shown in Fig. 8. The centermost blade had 19
ports on each of the pressure and suction surfaces and one
tap at the leading edge. The two blades adjacent to the
23
center blade had 3 surface pressure taps located on each of
the pressure and suction surfaces. The surface pressure tap
locations for the centermost blade are given in Fig. 9.
E. DATA ACQUISITION, REDUCTION AND ANALYSIS
Data were recorded, reduced, and plotted using the modi-
fied Hewlett Packard HP-3052A Data Acquisition System shown
in Fig. 10. Reference 11 describes the system in detail.
The system incorporated a HP-9845A desktop computer as a
controller, with all components connected on the HP-98034A
HP-IB Interface Bus. A NPS/TPL HG-78K Scanivalve Controller
IU with two 48 port Scanivalves allowed the programmed acqui-
sition of probe and blade surface pressure measurements.
The software used in the present study for acquisition,
reduction and plotting of data were developed from software
originally created by Duval and Cina. The programs are
listed and described separately in Ref. 12.
The uncertainties in the measurements are listed in
Table 1.
2
K.
U
24
III. EXPERIMENTAL PROGRAM 'AD RESULTS
A. PROG2RAM OF TESTS
The test program was in three phases. First, in order
to verify the new inlet guide vane assembly, tests were con-
ducted with no blading in the test section and with the
upper and lower endwalls set parallel at 350 (design condi-
tion), 300 and 500 with respect to axial.
Secondly, tests were made of the effect of wire gauze
screen materials in reducing non-uniformities in the flow
entering the test section. Appendix B describes the type
of screens used and how they were installed.
1(,J The last phase of the test program was a continuation
of the work initiated by Cina. Table II lists the cascade
configuration tested. One test was completed successfully
before aero-mechanical problems were encountered and testing
was halted until the causes were analyzed.
B. TEST PROCEDURES
1. Cascade Adjustments
In the first and second phases of testing, the same
procedures were used to realign the cascade for each new
configuration. The lower and upper end walls were set to
the desired flow angle and the inlet guide vanes were set
so that their trailing edges were approximately aligned with
25
the end walls. The flow was started, and the desired inlet
dynamic pressure was set. All tests were run at an average
dimensionless inlet velocity (X) of about .13, corresponding
to an inlet flow dynamic pressure of 18 inches water. Be-
fore recording data, the water manometer board was checked
to ensure that the distributions of wall static pressures
at the inlet plane and outlet plane were acceptably uniform.
If required, the inlet guide vanes were adjusted to obtain
uniform static pressure to within ±0.5 inches of water.
In the third phase of testing, initially the pro-
cedures used by Cina IRef. 7] were followed, namely: the
lower end walls were set to the desired inlet air angle and
the upper end walls were set approximately to the expected
exit air angle. The inlet guide vanes were set very approxi-
mately and the cascade was turned on and set to an inlet dy-
namic pressure of 18 inches water. The upper end walls and
the inlet guide vanes were adjusted in turn to obtain wall
r static pressure distributions upstream and downstream which
were acceptably uniform. Using this procedure however it
* was found on occasion that the inlet air angle sensed by the
probe at the lower plane at mid-span could be 2 or 3 degrees
different from the setting of the end walls.
The following procedures was subsequently adopted.
The lower end walls were set to the desired inlet air angle.
The upper end walls were adjusted to be "wide open", to form
9 a diverging passage in which, when the cascade was turned
26
on (to an inlet dynamic pressure of 18 inches water), the
flow was completely separated. The inlet guide vanes were
adjusted to obtain the required inlet air angle on the chan-
nel center line over the center 24 inches in the blade-to-
blade direction. The upper end walls were then moved
individually towards the vertical until the lower plane
static pressure distribution was uniform and the upper plane
static pressure distribution was acceptably uniform at a
value close to atmospheric pressure. No readjustment of the
inlet guide vanes was made.
2. Measurements
Probe surveys were carried out in the blade-to-blade
direction at midspan at the upper and lower planes. In the
W) first and second phases of testing, data were taken over
approximately 2h inches of the test section at intervals of
0.25 inches. Also, in order to test the repeatability of
measurements, repetitive samples were taken with the probe
held fixed at midspan at the lower plane at the center, 10
inches to the right and 10 inches to the left of center.
During the third phase of testing, data were taken
using the procedures established by Cina in Ref. 7.
C. VERIFICATION OF INLET GUIDE VANE (IGV) ASSEMBLY
The results of the first phase are presented (as shown
in Table III) in Figs. 11 to 32. The results are arranged
into groups. The first group (Figs. 11 to 14) are
27
I"
measurements of tunnel conditions with the end walls set at
35 degrees. Plots of conditions at the lower plane are fol-
lowed by plots of conditions at the upper plane.
Results for a wall angle of 30 degrees are given next
(Fig. 15 to Fig. 18), followed by results for a wall angle
of 50 degrees (Fig. 19 to Fig. 21). Data were taken over 24
inches at the lower plane, and also at the upper plane at
300 At 500, at the upper plane, only the center 12 inches
were surveyed.
The degree of repeatability of conditions in the wind
tunnel from test to test (with no change in wall setting) is
demonstrated by the results plotted in Figs. 22, 23 and 24.
The last group of plots, Figs. 25 to 33, shows the de-
gree of repeatability in the probe data from scan to scan.
Data for these plots were obtained by holding the probe sta-
tionary at midspan in three specific blade-to-blade loca-
tions in turn and taking 50 repetitive scans of the channels
normally recorded for survey profile data. The time inter-
val. for each scan was approximately 20 seconds.
D. TESTITIG WITH WIRE GAUZE SCREEN7S
The selection and installation of the wire gauze screens
is described in Appendix B.
The measurements obtained with the various screen con-
figurations are given (as shown in Table IV) in Fias. 34 to
45. The results are arranged in four groups.
28
iI
The first group of plots (Fig. 34 to 40) give data ob-
tained with the 16 mesh .0105 inch diameter wire screen in-
stalled. Over a blade-to-blade distance from -1.0 to 7.0
inches (Fig. 35) a peak-to-peak variation in velocity of
about 1 percent was noted. This is slightly greater than
the less than 1 percent (0.9 percent) variation noted over
the same survey region without a screen installed (Fig. 12).
The results shown plotted in Figs. 41 and 42 were ob-
tained with two screens installed. One screen (16 mesh,
.0105 inch diameter) was installed as discussed in Appendix
B, while the second screen (2 mesh, .0400 inch diameter) was
attached across the duct at the leading edges of the inlet
guide vanes.
Wje The fourth group of plots (Figs. 43 to 46) show the re-
sults for two different single screens. Probe survey data
for these screens was taken only at the lower plane. The
results shown plotted in Figs. 43 and 44 are data obtained
with a 4 mesh, .041 inch diameter wire screen installed.
The variation in velocity in the blade-to-blade direction
was as much as ±1.1 percent, ?eak-to-peak. The results
shown in Figs. 45 and 46 are for a 5 mesh, .041 inch diameter
wire screen. The variation in flow velocity was approxi-
mately ±1.5 percent, peak-to-peak.
29
E. PRELIMINARY TESTING OF DCA BLADES
The results contained in Tables V to IX and Figs. 47 to
60 are arranged in the following manner.
The results shown plotted in Figs. 47 to 60 are divided
into two separate groups. The first group (Figs. 47 to 57)
contain results which exhibit the quality of the wind tunnel
flow conditions. The second group (Figs. 58 to 60) shows
the blade forces (and surface pressures) from survey data.
In the first group of figures, results are presented first
to examine the inlet flow uniformity (Figs. 47 and 48);
* second, to examine the outlet flow periodicity (Figs. 49 to
53); and, finally, to examine outlet flow two dimensionality
(Figs. 54 to 57).
All points are shown connected with straight lines.
30
IV. DISCUSSION OF EXPERIMENTAL RESULTS
A. EFFECT OF INLET GUIDE VANE (IGV) MODIFICATION
The probe survey data shown in Figs. 11 and 12 were
taken at the lower plane, with the end walls set at 35 de-
grees. A turning angle of 35 degrees corresponded to the
"design point" of the inlet guide vanes, when the airflow
from the plenum chamber was at zero angle of incidence to
the leading edge of the IGV's. These two figures show that
the inlet plane total pressure at midspan in the blade-to-
blade direction had a peak-to-peak periodic variation of
about ±2 percent and therefore about a ±1 percent peak-to-
wig peak variation in the velocity. Corresponding data from
probe surveys at the upper plane (Figs. 13 and 14) show that
periodic variations in total pressure were reduced to about
25% of the value at the lower plane by the mixing of the in-
let guide vane wakes.
It can be seen in Figs. 15 to 21 that at "off-design"
conditions for the IGV's (endwalls at 300 and 500) there is
a greater periodic variation in total pressure at the lower
plane in the blade-to-blade direction than at the design
point conditions. In Fig. 15 and Fig. 16, it can be seen
that the periodic variations in total pressure are more pro-
nounced with the flow from the plenum at a negative incidence
angle to the IGV's (endwalls at 300). Except for the first
31
8 data points in Fig. 15, there is a well defined period of
about 1 inch of travel.
Figures 19 and 20 show the probe surveys conducted with
endwalls at 50 degrees. At this off design condition the
periodic variation in total pressure was considerably
greater than the design point and the individual wakes from
the inlet guide vanes were much less well defined.
:The repeatability of the survey was examined at wall
angles of both 500 and 300. Figs. 22 to 24 show that the
non-uniformities in the flow conditions were repeated to
* (generally) better than 0.5 percent of total pressure. The
question was then, to what accuracy could the individual data
points be repeated in successive samples. This was examined
V Vil at several probe positions and the results given in Figs. 25
to 33 explain the departures in Figs. 22 to 24.
B. EFFECT OF WIRE GAUZE SCREENS
All testing with screens was conducted with the end walls
and inlet quide vanes set to yield a flow angle of 35 de-
a grees. The data obtained with screens installed were there-
fore compared with the data obtained without screens, shown
in Figs. 11-14. The effect of the pressure drop across the
screen on the pressure coefficient plotted in Figs. 34-35
should be noted. With the first screen installed the drop
in total pressure from plenum to the probe in the lower plane
q was about 10 inches of water (plenum pressure minus total
32
- ----
pressure measured by the probe at the lower plane). With-
out the screen (at design conditions), the pressure drop
from the plenum to the probe at the lower plane was approxi-
mately 2.0 inches of water. Since Q ref was defined as the
difference between plenum pressure and lower wall static
pressure, the value of Qre f with the first screen installed
was about 28 inches water and without the screen installed,
about 20 inches water. In comparing the peak-to-peak varia-
tion in P1 seen in Fig. 11 with that obtained with the first
screen installed in Fig. 34, the difference in the values of
0re must be considered. Examinations showed that the peak-
to-peak variation in velocity remained at approximately 1%
when the screen was installed.
V:igures 38 to 40 are plots of data obtained during a
spanwise traverse of the probe at the lower plane. These
figures 3how that the pressure drop through the screen and
turning vanes was nearly uniform over approximately 8.0
inches of the 10.0 inch span of the tunnel.
In an attempt to generate upstream disturbances that
might trigger early boundary layer transition on the IGV's
and increase the rate of mixing of the wakes, a second screen
was attached to the leading edge of the IGV's. The results
in Figs. 41 and 42 showed that this was not the case and in
fact the second screen increased the magnitude of the non-
uniformities at the lower survey plane. Measurements made
with a single 4 mesh (Figs. 43 and 44) and a single 5 mesh
33
screen (Figs. 45 and 46) of similar blockage showed that
neither screen influenced the flow in a particularly favora-
ble manner. The 4 mesh screen caused the peak-to-peak
variation in velocity to be about ±1.1 percent, while the
5 mesh screen caused the variation to be about ±1.5 per-
cent. This compared unfavorably with the variation ob-
tained without any screen installed which was less than ±1
percent.
It was therefore decided to proceed with measurements
of the test cascade without using screens.
1
C. PRELIMINARY TESTING OF DCA BLADES
1. Inlet Uniformity
The probe survey at the lower plane in Fig. 48 shows
that the inlet plane total pressure at midspan varied in the
blade to blade direction less than 0.5 inches of water, with
no well-defined spatial period. This was an improvement in
the inlet conditions found by Cina [Ref. 7: Fig. 16]. That
the spatial period was not well defined agreed with the
findings presented earlier in this report. The wall static
pressure distribution (Fig. 47) showed small variations
(less than 0.5 ins. water peak-to-peak at the lower plane,
q.4 ins. water peak-to-peak at the upper plane).
2. Two-Dimensionality
The data in Figs. 54 to 57 show that, at the down-
stream plane, an area of (spanwise) nearly uniform conditions
34
existed near the centerline of the cascade. Reference 2
points out that at higher loadings it is difficult to estab-
lish a substantial spanwise area of uniform flow in the
region near the suction side of the blade. This difficulty
is evident in the data shown in Figs. 54 and 55 which show
that only about 20% of the spanwise distance is acceptably
uniform. It is noted that Cina also found reduced areas of
uniform flow at this incidence angle; however, 30-40% of the
spanwise distance was found to be acceptably uniform in his
case. The difference could be the result of the reduced
spacing of the IGV's and its effect on the side wall boundary
layers.
Figure 58 shows results for inlet and outlet flow
angles and blade force vectors derived in two ways as shown
in Appendix B of Ref. 7. These two methods are first the
applications of momentum conservation to probe survey data
and second, the integration of surface pressures measured
over the blade area. Reference 2 points out that for truly
two dimensional flow the blade forces derived from the two
methods should be the same. As shown in Fig. 58 the magni-
tudes and the directions of the two vectors representing the
blade forces are in reasonable agreement. It is noted how-
ever that at this particular incidence angle Cina (Ref. 7]
measured blade forces that were in total agreement in direc-
tion but disagreed slightly in magnitude. The values of the
35
force magnitudes were about 1.5% lower than those measured
by Cina.
3. Periodicity
As can be seen in Figs. 50 and 51 the total pressure
and velocity qualitatively repeated fairly well over three
central blade passages. Acceptably small quantitative dif-
ferences are noted. There was also a small but measurable
difference in the surface pressures on adjacent blades, as
is evidenced in Fig. 49.
4. Blade Performance
* Figures 59 and 60 are plots of the pressure and
velocity distributions respectively over the centermost
blade. These results compare favorably to those obtained
T vile by Cina for an incidence angle of 5.30
Table IX contains the blade performance parameters
deduced from the probe survey data listed together with the
data obtained for corresponding test parameters in Ref. 7.
While differences in two sets of data are evident, the dif-
ferences are not large. It is noted that the value of the
loss coefficient was only 10% lower than was measured by
Cina, but the AVDR was less than 2% different from unity
rather than the 6.5% measured by Cina. Further measurements
need to be made, particularly in the light of the following
discussion, before stronger conclusions can be drawn.
36
5. Aero-Mechanical Problems Encountered
Fifteen cascade tests were made while evaluating the
new inlet guide vane assembly and testing the wire screens.
All runs were made without test blades installed, with a
plenum total pressure of about 20 inches of water and with
the upper and lower end walls parallel. No difficulties
were encountered in establishing the desired flow conditions
or in using the inlet guide vanes to arrive at a satisfactory
distribution of wall static pressures.
The first time the Cascade Wind Tunnel was set up
with test blades installed to take data at an air inlet angle
of 39.2 a, the tunnel operated normally and the test was com-
pleted. (The data from this test were subsequently found to
wy be highly suspect and are not reported here.) During the
next test, with an inlet air angle of 42.4, the start-up
appeared normal and previously established procedures were
used to arrive at a satisfactorily uniform wall static pres-
sure distribution. Tunnel operation appeared to be normal
while taking data, but on shutdown a very noticeable high
q frequency vibration was encountered. Examination of the in-
let guide vanes revealed that about 40% of the 60 blades
were damaged. Damage included chips missing from the trail-
ing edges, blades bent, cracks at the weld where the blade
is joined to its support and indications that the suction
side near the leading edge of one blade had been vibrating
37
against the pressure side near the leading edge of an ad-
jacent blade.
After the inlet guide vanes had been repaired and
reinstalled extreme care was used at the beginning of the
next test to adjust the inlet guide vanes, wth two indi-
viduals monitoring the movement of the adjustment mechanism.
(IGV adjustment mechanism is described in detail in Appendix
A.) A lack of stiffness in the mechanism was suspected as
having been a contributing factor to the failure.
one successful test was completed at an inlet flow
*angle of 42.4 0 and these data were discussed above.
with the next cascade configuration set, at an air
inlet angle of 45.90 , when the IGV's were adjusted after
U) w starting up, high frequency vibrations were again experi-
enced. The wind tunnel was shut down and no further testing
was attempted at plenum total pressures as high as 20 inches
of water gauge.
The difficulty encountered with the IGV's is not
fully understood, however the lack of stiffness present in
* the actuation of the two separate rows of vanes is suspected
of having allowed the problem to occur. Certainly, the pos-
sibility of an aerodynamic~ flutter condition being present
* (due to the misadjustment perhaps) can not be ignored. It
was noticed after the initial failure that the lead screw
which adjusts the IGV's could be turned but the blades
mounted from only one side would be caused to rotate. This
38
could lead to the trailing edge of one blade contacting the
trailing edge of an adjacent blade and effectively closing
the blade passages.
Also, the holes in which the cylindirical shanks of
the IGV's were held were found not to be uniformly machined.
As much as 0.1 inches of movement at the tip of some vanes
was possible while others could barely move. (The most
seriously damaged blades were found in or adjacent to :Zhe
larger holes.)
The tendency for the mechanism to "hang-up" on one
side would be greater as the vanes became more highly loaded.
It is noted that the IGV problem was encountered first when
going to increased incidence angles with the compressor test
V cascade installed. In setting a constant plenum t otal pres-
sure of 20 inches of water gauge, the static pressure in-
crease across the test blades to a constant atmospheric
pressure at the downstream side implies that a progressively
increasing dynamic pressure was being generated out of the
turning vanes. This can be seen in Table IX, where for
the test at $1 42.4 was 25 inches of water.
39
V. COMPUTATIONAL PROGRAM
A. DESCRIPTION OF QSONIC
LThe computational code, QSONIC, was developed by the
staff at the NASA Lewis Research Center.1 This code is able
to calculate the blade-to-blade flow conditions in turbo-
machinery blade rows assuming inviscid flow but including
streamtube convergence and radius change in the throughflow
direction. QSONIC is flexible enough to allow the input of
the appropriate boundary conditions to calculate the flow
through the test blading in the Subsonic Cascade Wind Tun-
nel. The program uses a fully conservative solution of the
'- *" full potential equation combined with the finite volume
method on a body-fitted mesh. QSONIC uses an artificial
density imposed in the transonic region, if such a region
exists, to ensure stability and the capture of shock waves.
The analysis used by QSONIC is a combination of transonic
analysis methods to calculate the flow conditions in the vi-
cinity of a cascade of airfoils. A conservative form of the
full potential equation is discretized at every point of a
body fitted periodic mesh and a mass balance is calculated
through the finite volume surrounding the point. The volume
iThe help and advice received from Charles Farrell atI ASA Lewis R.C. in the process of adapting QSOtIC to theNPS computer is gratefully acknowledged.
40
is corrected three dimensionally for any change in stream-
tube thickness along a streamtube, if a quasi-3D solution is
desired. Either elliptic or hyperbolic non-linear partial
differential equations are used, depending on the local Mach
number.
The analysis used in developing QSONIC made the following
assumptions:
1) The airflow is inviscid and adiabatic.
2) The airflow relative to the test blades is steady.
3) Air is a perfect gas with constant specific heat.
4) The airflow is isentropic and any discontinuities suchas shocks are so weak that they may be approximated asisentropic jumps.
5) There is no velocity component normal to thestreamsurface.
6) The airflow relative to a fixed reference frame (i.e.absolute velocity) is completely irrotational.
Assumption 4 requires that the peak local relative Mach num-
ber on a blade surface be 1.4 or less. The Mach numbers
measured in test blades in the Subsonic Cascade Wind Tunnel
would be well within this limit. However, this limitation
would probably preclude the use of QSONIC for analysis of
the flow field in the NPS transonic cascade wind tunnel.
There are some combinations of blading geometry and flow
conditions which cause unsatisfactory results to be gener-
ated. For example, because of assumptions 1 and 6, sharp
leading edges at high incidence angles (more that a few
degrees) cause large velocity peaks in the blade surface as
41
the flow tries to turn from the stagnation point to the
suction surface.
Reference 9 gives a detailed description of QSONIC and
the solution method used including the governing equations.
Appendix D describes the operating procedures to use QSONIC
on the Naval Postgraduate School's IBM 370/3033 computer.
Appendix D also describes the input and output required as
applicable to the Subsonic Cascade Wind Tunnel.
B. APPLICATION TO THE TEST CASCADE
Appendix D describes in detail the generation of the
input required for OSONIC when applied to test blading in
the Subsonic Cascade Wind Tunnel facility. In the present
work one comparison olf code calculations and measured data
U). was made before testing was stopped. The comparison was
for an inlet flow angle (B81) of 42.40
Tables D.1 and D.3 show the input data generated. Table
DA6 shows the flow solution output by QSONIC. The flow cal-
culated on the blade surface, using a 15 by 97 mesh, was
examined. Figure 61 is a plot of the calculated Mach number
along the blade surface using two dimensional inputs. Fig-
ure 62 is a plot of computed Mach number incorporating quasi-
three dimensional effects. The method of incorporating
quasi-three dimensional effects is explained in Appendix D.
42
C. COMIPARISON OF CODE CALCULATIONS AND MEASURED DATA
Table VII lists the data measured in the cascade wind
tunnel. Cp,1, C p2 and Xvel are defined in Appendix C. The
surface Mach number distribution measured on the center blade
is shown plotted in Fig. 63.3:
For comparison, the computed two dimensional, computed
quasi-three dimensional, and the Mach number measured in the
cascade wind tunnel are plotted together in Fig. 64.
Excellent agreement between all three cases is seen.
As would be expected, the greatest difference between mea-
sured and calculated data is near the leading edge in the
suction side and at the trailing edge of the blade.
43
VI. CONCLUSIONS AND COMENDATIOIS
Based on the results of the first part of the present
study, to evaluate the effects of the altered inlet guide
vane spacing on flow uniformity and periodicity, the follow-
ing conclusions were drawn:
1. With the inlet guide vanes operating at design, thepeak-to-peak variation in velocity was about ±1%, andthere was a well defined spatial period of about 1inch.
2. Operating the cascade wind tunnel in a configurationthat requires the inlet guide vanes to be set to otherthan zero incidence resulted in peak-to-peak varia-tions in velocity greater than ±1% and a spatial periodthat was less well defined.
The second part of the study, to evaluate the use of
wire gauze screens to further reduce the non-uniformities in
the flow field, led to the following conclusions:
1. A 16 mesh screen with a blockage factor of .69 had aslightly aggravating effect in the variation in velo-city. The peak-to-peak variation in velocity with thescreen installed was slightly greater than with noscreen installed. This occurred at the expense of apressure drop of about 10" of water across the screen.
2. The use of screens with similar blockage but withlarger mesh and larger diameter wires resulted inlarger peak-to-peak variations in the velocity at thelower plane.
The overall objective of the present study was to mea-
sure the performance of the DCA test blading. Because of
aero-mechanical problems encountered with the inlet turning
vanes the performance of the blades was obtained at one
44
V
incidence angle only. The following was concluded from the
limited test program:
1. As a result of the reduced inlet guide vane spacingthe variations in velocity and total pressure at theinlet plane were much less than those reported by Cina.
2. Good periodicity was found from one blade passage toanother.
3. An acceptable region of spanwise uniformity (20-40% ofblade span) was found at the downstream plane at theone test condition reported. However, this was lessthan was previously reported for the same incidenceangle.
4. The blade forces derived from the integration of sur-face pressure measurements and probe survey data werein close agreement in both magnitude and direction.
5. The Mach number measured by surface pressure taps overthe surface of the blade and Mach number calculatedusing the program QSONIC were in excellent agreementqualitatively and reasonable agreement quantitatively.
6. The specific reasons for the aero-mechanical problemsW). experienced with the inlet turning vanes have not been
identified completely.
Based on these conclusions and other observations, the fol-
lowing recommendations are made:
1. Use of the present inlet guide vane assembly and ad-justment mechanism for testing at inlet dynamic pres-sures higher than about 15 inches of water is unsafe.There are three possible solutions to this problem.
a) Operate only within the dynamic pressure range of10-15 inches of water.
b) Modify the new inlet guide vane assembly so thatthe vanes are supported at both ends on their axes
q of rotation. (Supporting the IGV's from both endswould prevent flapping vibrations of the (present-ly) cantilevered vanes. Such vibrations, when thevanes are supported alternately from opposite endsand the gaps are small compared to the chord,might lead to a potentially destructive fluttermode at particular flow velocities.]
45
c) Replace the entire inlet turning vane section withone of entirely new design.
2. The procedure should b'R adopted immediately of adjust-ing the vanes and walls of the cascade at lower valuesof the dynamic pressure before increasing the blowerspeed to the desired operating condition.
3. More time needs to be spent to examine the flow field'Is produced between the guide vanes and the test blades,
and to establish the effects of the movement of thetail boards. The uniqueness of the flow field when thewall static pressure uniformity is used as a criterionof good inlet flow, needs to be examined by conductingrepetitive tests at nominally similar test parameters.only when the adjustment of the flow in the facilityand the quality of the flow itself is fully understoodshould the measured blade performance data be acceptedas final.
4. The upper el.ectrical yaw adjustment mechanism shouldbe replaced with a manual system to greatly decreasethe time required to achieve probe pressure (angle)balancing.
5. Develop the computer code necessary to take advantageps of the plotting data created by QSObNIC.
6. Modify the data acquisition and reduction software forthe HP 9845 so that real time plots of blade perfor-mance parameters can be displayed.
46
TABLE I. MEASUREMENT UNCERTAINTY
Item Description Method Uncertainty
x Blade-to-Blade dimension Position -. 01 in.x - 0 in. West end Potentiometerx - 60 in. East end
z Spanwise dimension Position t.01 in.z - 0 in. North wall Potentiometerz - 10 in. South wall on probe mount
01 Inlet flow yaw angle Angle Potenti- ±.2 deg.ometer on probemount (handadj ustment)
a2 Outlet flow yaw angle Angle Potenti- ±.5 deg.ometer on probemount (motordriven adjustment)
Pplen Plenum total pressure Static tap in ±.01 in. H20plenum chamber gauge
V= 0
Ps Ctatic pressure at the Calibrated pneu- ±.l in. H20test plane matic probe gauge
Pvt Static pressure at Static tap on ±.O1 in. R20x - 0 in., y - -16.25 in., North wall gaugez - 0 in.
P ATM Atmospheric pressure Absolute Strain ±.3 in. H20Gauge Transducer
P Pressure Scanivalve ±.Ol in. H20Transducer gauge
47
w
TABLE II. CASCADE CONFIGURATION FOR DCA BLADE TESTS
Constant Parameters
Number of Blades 20
Spacing (Pitch) 3 inches
Chord 5.01 inches
Solidity 1.67
Thickness 7.0 percent of chord
Camber Angle 45.72 degrees
Stagger Angle 14.72 degrees
Variable Parameters
42.4 degrees
u i 5.3 degrees
48
U
TABLE III. SUMMARY OF MEASUREMENTS WITHOUT SCREENS
01 Survey Plane Survey Direction Fig. os. Purpose
35 Lower B-B 11 & 12(24 inches)
Upper B-B 13 & 14(24 inches)
30 Lower B-B 15 & 16(24 inches) Flow Field
DeterminationUpper B-B 17 & 18
(24 inches)
50 Lower B-B 19 & 20(24 inches)
Upper B-B 21(12 inches)
50 Lower B-B 22 & 23(24 inches)
SurveyRepeatability
30 Lower B-B 24(24 inches)
30 Lower Fixed Probe 25-27(iO" L. of 1
Point
(on () 28-30 Repeatability
(10" R. of t) 31-33
49
U
TABLE IV. SUMMARY OF MEASUREMIENTS WITH SCREENS
350)
SurveyScreen Survey Plane Direction Fig. Nos.
1. 16 mesh Lower B-B 34 & 35.0105 wire
Upper B-B 36 & 37
Upper Spanwise 38-40
2. 16 mesh Lower B-B 41 & 42.0105 wire
+ 2 meshahead of IGV's
3. 4 mesh Lower B-B 43 & 44.041 wire
4. 5 mesh Lower B-B 45 & 46.041 wire
50
U!
TABLE V. PROBE DATA, UPPER PLANE AT MIDSPAN (i = 5.3*)
BLrilIE TO BLHEDE rTR .-EI E IRIIEPtN
UPF'EfR PLFHE
Po ,iV,1 Lo, i,', Beta 0 1lb ar F' I . ,Cl,, I, ,'b , " s:w
I -7.31 -1.59 .5686 .2614 .0920 .64752 -6.84 -. 84 .5532 .2669 .1041 63:911: -6.37 -. 3 .4276 .2561 . 236 . 5634 -5.37 -2.56 .5096 .2707 .1380 .614'?5 -5.67 -2.56 .5622 .263a .995 P42-6 -5.48 -2. 56 .5780 .2 534 .01'902 65.37 -5.23 -1.79 .5739 .2573 .09168 -5.34 -1.79 .5747 .2626 .0927 64839 -4.80 -1.78 .5697 .2579 .0952 .64801 -4.60 -1.78 .5705 .2588 .0901 .649511 -4.41 -1.78 .5687 .2575 .0955 .47:12 -4.16 -1.36 .5650 .2591 .0994 .645113 -3.96 -1.35 .5629 .2636 .0987 .644314 -3.73 -1.36 .5462 .2682 .1123 .6.33315 -3.58 -1.36 .4863 .2684 .1739 .597816 -3.39 -1.35 .4349 .2611 .2269 .567717 -3.19 -1.88 .4239 .2571 .2456 .55971 -:3.00 -3.16 .4886 .2738 .1668 .598919 -2.80 -2.41 .5467 .2744 .1108 .6:3182) -2.60 -2.19 .5717 .2636 .0962 .646121 -2.40 -1.92 .5751 .2608 .0951 .648222 -2.20 -1.92 .5773 .2597 .0926 .649823 -2.01 -1.92 .5814 .2599 .3926 .650?24 -1.81 -1.92 .581i .2612 .0951 .649325 -1.61 -1.48 .5765 .2606 .3901 .650226 -1.42 -1.47 5755 .2644 .3912 .648327 -1.22 -1.48 .5748 .2626 .0947 .647628 -1.02 -1.46 .5679 .2661 .1004 .643029 -.83 -1.47 .5378 .2726 .1217 .626730 -. 64 -1.46 .4.704 .2693 .1954 .586231 -.44 -1.47 .4140 .2553 .2698 .549732 -.25 -1.47 .4295 .2658 .2442 .559433 .5 -:3.00 .5011 .2740 .1616 .6040.34 .15 -:32 .5562 .2718 .140 .637135 .36 -1.74 .5776 .2672 .0879 .648836 .55 -1.71 .5795 .2636 .0865 .650937 .75 -1.83 .5880 .2591 .0872 .6541:38 .95.. -1.38 .5915 .2613 .0833 .6554:39 1.15, -1.83 .5902 .2591 .0844 .655540 1.35 -1.83 .59e3 .2587 .083:3 .656141 1.85 -1..3 5810 .2681 .092'42 .35 -1.8:3 .4490 .2598 .2202 5494.3 2.5 -1.84 .4421 .2670 227h3 56bI44 :3.34 -2.01 .5722 .2600 .0990 646545 3.35 -2.01 .576.3 .2597 0'972 E4E
51
TABLE VI. PROBE DATA, LOWER PLANE AT MIDSPAN (i = 5.3')
"kTfr FROI FILE LBRED2:T14BLADE TO BLADE TPR'YERSE MIDSPRN
LOWER PLANE
LUPo. r t Lo.: 1r) Bet. -a Q'. 1 b ar P .s I bar P,... Ii at.:r Xbir'
1 -4.00 -42.43 .953:3 -. 1372 .0932 .8457-3.50 -42.42 .9603 -. 1444 .0967 ..3474
3 -3.00 -42.42 .9567 -. 1427 .0996 .:4544 -2.50 -42.44 .9614 -. 1519 .1031 .84805 -2.00 -42.43 .9741 -. 1469 .0871 .:95246 -1.50 -42.43 .9767 -. 1493 .0875 .85327 -1.80 -42.43 .9722 -. 1481 .0889 .85228 -.50 -42.4:3 .9743 -. 1564 .0921 .85469 0.00 -42.43 .9799 -. 1567 .0935 .8540
10 .50 -42.42 .9849 -. 1592 .0854 .8585I 11 1.00 -42.43 .9814 -. 1604 .0858 .3593
12 1.50 -42-43 .9871 -. 1628 .0779 .863513 2.8 -42.43 .9787 -. 1615 .0890 .858214 2.58 -42.43 .9742 -. 1632 .0971 .855615 3.00 -42.41 .9731 -. 1650 .1059 .852616 3.50 -42.42 .980? -. 1663 .0924 .858917 4.00 -42.44 .9736 -. 1651 .0968 .8567
52
TABLE VII. CENTER BLADE DATE (i = 5.30)
• -,C '," C 41I Mp2ach W.E,)
PRESSURE SIDE CENTEP BLADE
.O07 .0054 .6655 .4573 .1785 .0796
.0160 .0019 .6417 .4140 .1849 .0824
.0319 .0866 .5240 .1999 .21:36 .13951
.0479 .0112 .5287 .2083 .2126 .0946
.0658 .0215 .4871 .1327 .2219 .098
.12 13 .0303 .4818 .123p .2231 .099.3
.1956 .0452 .4700 .101? .2257 .1004
.2695 .0576 .4757 .1120 .2244 .0999
.3433 .0663 .4764 .1133 .2243 .0998
.4192 .0716 .4892 .1366 .2215 .0986
.4930 .0736 .4871 .1327 .2219 .0988
.5669 .0727 .4771 .1146 .2241 .0997
.6407 .0678 .4956 .1482 .2201 .0979
.7146 .0601 .4889 .1359 .2216 .0986
.7884 .0487 .4949 .1469 .2202 .0988
.8283 .0411 .4672 .0965 .2263 .1007
.863 .0327 .4537 .0719 .2292 .1020
.9082 .02:38 .4245 .0189 .2354 .1047
.9431 .0123 .3815 .0594 .2443 .1086
.9880 .0006 .2778 -.2482 .2646 .1175
SUCTION SITE CENTER BLADE
.0 16 .0227 -1.3641 -3.2355 .4973 .2171
.1319 .0310 -.7756 -2.1647 .4249 .1667
.0479 .0389 -.4980 -1.6597 .387S .1709
.0858 .0563 -.354-1 -1.3979 .3675 .1622
.1218 .0718 -.3431 -1.3778 .3659 .1615
.1956 .0970 -.2923 -1.2853 .3585 .1583
.2695 .1170 -125r0 -1.2084 .3522 .1556
* .3433 .1309 -.2038 -1.124J .3453 .1526
.4192 .1399 -.15 0 -1.0338 .3377 .1493
.4930 .1432 -. 854 -.9090 .:3278 .1447
.5669 .1412 -.0584 -.8599 .32;7 .1423
.6407 .1339 .0102 -.7351 .3116 .1:380
.7146 .1209 .0631 , -.638? .2028 .1342
.7:84 .1021 .1456 -.4887 .2886 .1280
.8283 .0895 .1911 -.4059 .2805 .1245
.8683 .0755 .z3a6 -.3303 .2730 .1212
9 32 .0593 .2636 - 2748 .2673 .I167
.3481 .0407 .2842 -. 2365 .2624 .1170
.3968 .0206 .2948 -.2171 .2613 .1161
53
TABLE VIII. ADJACENT BLADES DATA (i = 5.30)
p C Mach
PRE ES.URE SIDE LEFT BLADE
.1218 .0.30:3 .4014 -.02931 .249: .1068
.4192 .0716 .4619 .0668 .2275 .I012
.328:3 .0411 .4491 .0635 .2302 .1024
SUCTION SIDE LEFT BLADE
.1218 .0710 -.3438 -1.3791 .3668 .1615
.4192 .148 -. 1505 -1.8273 .3371 .1491
.8283 .0895 .1975 -.:,943 .2794 .1240
* PRESSURE SIDE RIGHT BLADE
.1218 .0363 .4648 .0907 .2270 .1818
.4192 .0716 .4658 .8939 .2266 .1008
.2893 .8411 .4597 .8829 .2279 .1814
:UCTION SIDE RIGHT BLADE
.1218 .0718 -.3285 -1.351:3 .3638 .1686
.4192 .1400 -. 1519 -1.8299 .3374 .1492
. 283 .0895 .1911 -.4059 .2805 .1245
54
TABLE IX. BLADE PERFOPWCE DATA
Present Results From Ref. 7
81 42.42 42.42
i 5.3 5.3
82 1.85 0.4
10.44 9.0
D 0.455 0.46
" 0.037 0.041
Cos 2 0.020 0.023
2a cos B2
C2 (xlO 2 ) 1.09 1.242
AVDR 1.015 1.065
CPSTATIC 0.413 0.351
CxM -1.385 -1.380
CyM -0.669 -0.566
CxB -1.330 -1.476
CyB -0.572 -0.645
Q1 (in. H20) 25 22
.14 .12
q
FCINlT . 1 T::D 50. L," ER PLANE 35 OE,
r
~ I-
6I
.:._-..A.
gW
oi 1** 7-. rJq . N." -, , ,
-IJ • I I AI II
INCHES
6
Fig. 11. Probe survey Data at Midspan of Lower PlaneEnd Walls at 350, Points 1 to 50(P PLENUM Pt)/Qref
65
P fplI r ri u m '-; I 'r
P'.'It-Ti. 51 Ti. 100~ LC'JER PLAIiE -35 DF
V.
I NCHE S
Fig. 12. Probe Survey Data at Midspan of Lower PlaneEnd walls at 350, Points 51 to 100
V ~PLEN4UM - ~t'ref
66
V
P p Iti rn'r~IF Ire#
P,,-,T I T) 50 UPPER PLINE 35 OE,:2
MCH-
i.
, , I I Ii ,
, I I £fl
ENCFIES
Fig. 13. Probe Survey Data at Midspan of Upper Plane
End Walls at 350, Points 1 to 50(PPLENUM - t ) / Qr e f
67
P (p I anum)-PI.'Cr fP.It5T.1 1 T,- 100 UPPER PLArE 35 DEG
UA
iL
1 .3 I I. I I l I Ii
I NCHES
Fig. 14. Probe Survey Data at Midspan of Upper PlaneEnd Walls at 350, Points 51 to 100(PPLENUM - Pt ) /Q ref
I6
: 68
Pi a !i !r -P I
F',ti, l>5 1 T,_, 5 L,::,tEI PLHPIPE 3 0 DE,.-3
F
U
.%2
g7
Ed W a
(P V LNU <JP t )/Q ref~t A
i ,, 6 9 I I I
SNC HE S
Fig. 15. Probe Survey Data at Midspan of Lower PlaneEnd Walls at 30, Points 1 to 50(PPLENUM - Pt ) / Qref
V
69
KP 17F I . n ,. r, -P 1 ',.r a iF'ck.1ITS 51 TO 1-3 L,*IER PLANE 30 DEG
F
Wyet
FA
Lm
I _ i Ijt I I I I I
I NCHE'.
Fig. 16. Probe Survey Data at Midspan of Lower PlaneEnd Walls at 300, Points 51 to 100(PPLENUM - t ) / Qref
70
U
F ,. 1 en en, -P /LCr I +
.. 1 TO 51-3 UPPER PLANE 30 OEG
II '
I
I N C HE'-
Fig. 17. Probe Survey Data at Midspan of Upper PlaneEnd Walls at 300, Points 1 to 50(PPLENUM - t ref
71
U
P" I .ni.,mi-PI 1PO[INTS 51 TO 10 UPPER FLAIE 30 DEG
.2
II
p. I p I , I - I
I~h pJ I*2
[ riC HE
Fig. 18. Probe Survey Data at Midspan of Upper PlaneEnd Walls at 300, Points 51 to 100(PPLENUM - Pt ) /Q ref
72
q
P PI r- rn) -P1 I 'j~P0'1TST I TO 50j L:4JER PLANJE 50 DE,.;
I
P,:I:,INTWllsS, 500 Pont 1k to)~al L~l 50 ,
7.73
I A
a I
r I', C HE S
Fig. 19. Probe Survey Data at Midspan of Lower PlaneEnd Walls at 500, Points 1 to 50(PPLENUM - Pt ) / Qref
73
q m -bT
m -" I I "I
S
P pl .ium )-P1."Qrof
P0,NTS 51 TO 100 LOWEP PLAIIE 51 DEG
2
IV*.
SN 2 HEE
Fig. 20. Prol 2 Survey Data at Midspan of Lower PlaneEnd Walls at 500, Points 51 to 100(PPLENUM - Pt ) / Q ref
74
i
PPl ,num)-P/Qref50 POINTS UPPER PLANE 50 DEt
iF
.2
Fig.. Prb SuvyDt"a isa f pe ln
• / I
- L
II
I NCHES
Fig. 21. Probe Survey Data at Midspani of Upper Plane
End Walls at 500(PPLENUM - Pt ) /Q ref
75
U
P(Plrpnum'-Pl "rsfP')INTS I TO 50 LOWER FLANE 50 DEC,it FIRS&T RUN + SEC'-ND RUN
Ur
'A",
'I
U ]j L ,I ,, I iI iI I I
- I II
In 7
[NCHES3
Fig. 22. Probe Survey Data at Midspan at Lower PlaneEnd Walls at 500, Two Runs, Points 1 to 50
• (PPLENUM - Pt ) /Q ref
76
w
P(Pltnum)-Pl/OrefPOINTS 51 TO iW LOWER OLANE 50 DEG* FIRST RUN + SECOND PUN
.2
tY' t
N 4. 4. ' 'i
I NCHES-
Fig. 23. Probe Survey Data at Midspan at Lower PlaneEnd Walls at 500, Two Runs, Points 51 to 100(PPLENUM Pt )/Q ref
77
ip ( p I mn urn) -P!I ./,Ore 9 .
.* FIRS3T RUN+ SECOND RUN
.2
It
roI I
F
I NCHES'
Fig. 24. Probe Survey Data at Midspan at Lower PlaneEnd Walls at 300, Two Runs, Points 1 to 50(PPLENUM - Pt ) / Q ref
78
iq
10 INCHES LEFT OF CTR :30 BEG LOW ER
TIN w 7- it - ,A
IL
I I * I I I I & I I I I I | I I I I I I I | I I I J I I 1 I I I I ! t J I 1 1 I A 1 1
UTIM1E ( INTER-'V"FLS5.'
Fig. 25. Repetitive Samples with Fixed Probe Position(10" Left of CTR Midspan, End Walls 30*,Lower Plane (P PLENUM- PAMB)/Qref )
79
P -P ab i,"Qr.4
10i INCHE5 LEFT OF CTR 30 DEG LOWER
a..
L
w,.} t - , .
U I
*1 i I I i i , I I I I I i I I i I I i ...A..J i ...-.. J----.....A --.J....L--L....L...L. L....L .
- -- - rj ,u ., eXj !ij A~ *' .,r1i~r -
TINE INTEPVRL'S,
Fig. 26. Repetitive Samples with Fixed Probe Position(10" Left of CTR Midspan, End Walls at 300,Lower Plane (Pt - P VIBllQref )
80
.22PCpA erID a-P1, c Cr610 INCHES LEFT IF C i 3 T DEG L L'WE
(10 Lef of" "T "is n Wlsat30
FE
• 4
C3' ,i £ I I * i i , I II £ I * 2 I , I I 4 . I . J i . -_..._..,._J*\ C C' 4 -- ra ," ,, c,"4 #.] U C.l ,"p , ", -" ,," - "- -
TY tlE "IrITER ',;ALE.)
Fig. 27. Repetitive Samples with Fixed Probe Position(10" Left of CTR M1idspan, End Walls at 30,[" Lower Plane (PLENUM - t)/ref
81
S
P(pl snumI-P( &rwt /r.4'
CENTER 30 DEG LOER
2
!"70
cu ,r , ",LU I I I , i l l 1 1 1 1 1 1 i U l i i C I i l l (n1
T[E'E I' r[ rER,",,ALS
Fig. 28. Repetitive Samples with Fixed Probe Position(on Centerline at Midspan, End Walls at 30 0,Lower Plane (P PLENUM - 2AMB)/Qref)
82
I
FL[-Pi imb )"2 reo+"
CENTER :30 DEG LOWER
'F
' L, I I I I * I 1 1 'LJ I A I I ! _£ J-L J- J ..--.
J .' -I f" " , i -r -r if
TEME (INTER"/AL,-
Fig. 29. Repetitive Samples with Fixed Probe Position(on Centerline at Midspan, End Walls at 300,Lower Plane (Pt - PAMB)/Qref )
83
4I
Pf p I onIm)-P I/Qr .fCENTER 30 DEG LOWER
r
.2II
I L 1--1- 1 1" l1 1I 1 t I I I I I I I I I I Ii LL L J ALL . .J .
- -a -a - -4. C ' ' Q m r "
TIME (INTEr.ALSi
Fig. 30. Repetitive Samples with Fixed Probe Position(on Centerline at Midspan, End Walls at 300,Lower Plane (PPLENUM Pt' /Qref )
84
U.
r
P(p] a nurn)-P( :mb)/QroiI0 INCHES RT OF CTR 31 D.EG Lc:wEF
2 -
IIS!
V.'t
U [1 I 1 I I t I 1 I I I I i J I I I I _ I | j jj
T r hE 1 NTEF",iALS
Fig. 31. Repetitive Samples with Fixed Probe Position2(10" Right of CTR Midspan, End Walls at 30,
Lower Plane (pPLENUM - PAMBI/Qref )
85
Um
U
PI -Pki mbI/0r..10 INCHES RT OF CTR 30 DEG LOWER
2r
-t tr
i_ A i #i i £ II u1IlII I pI u lam mu ii a a a 1 i I, a
TrNE C INTER.iALS.
Fig. 32. Repetitive Samples with Fixed Probe Position(10" Right of CTiR Midspan, End Walls at 300,Lower Plane (Pt - PAkBI/Qref )
86
P(Pienum)-P1GIrOF ,
0 IINCHES RT OF CT, 30 DEG LO.JER
Lower*~* Plan (P PLENUM - .49.ref
I-7
3 I I I I I I I I I I I I I
i t~ a U . ~ * ~ a U~i*• - -rr;.j 1' t w r t t
TIE(IIE.RS
UI
Fi.3.RpttveSmlswt ixdPoePsto(1"Rgto T ispn n al t30Loe ln 2 LEU- 1 rf
U•
87A
Ui
P pl enuml-P1 /Ore4PIOINTS 1 T70 50 LOW4ER PLANE 35 DEG TEMP 9CREDW
*~*h
.4
q2
Fig. 34. Probe survey Data. at Midspan, Lower Plane16 Mesh Screen, Walls at 351, Poin~ts 1 to 50
(P "PLENUM - P tlo ref
88
R -'p I niur '-P IQre+POiINTS 51 TO 10 LOWER PLANE 35 DEG TEO1P 5.. EErN
k ..k .. " . " , 4 ,'... .
rI
-5
*
I N C HE 3
Fig. 35. Probe Survey Data at Midspan, Lower Plane16 Mesh Screen, Walls at 35', Points 51 to 100
(PLENUM pt )/Qref
89
Ut
F ip 1 enum) -Pl ."OrefPOCtINTS 1 TO 51 UPPER PLANE 35 OEG TEMP 9(CPEE.j
Fi
//
INHE
.4 I-
II
Fig. 36. Probe Survey Data at Midspan, Upper Plane16 mesh Screen, Walls at 350, Points 1 to 50(PPLENUM - p t)/Qref
90
Pt plestum)-Pi /Ore;PO)INTS 51 TO 100 UPPER PLANE .35 DEG TEMP SCPEEN
11-ICHES
Fig. 37. Probe Survey Data at Midspan, Upper Plane16 Mesh Screen, Walls at 350, Points 51 to 100
(PPLENUM - Pt)/Qref
91
si
4
P(P I anum)-PI /Or;e#10 in. LEFT OF CIR SP1IN TRRVERSE35,DEG UPPER PLANE TEMP SCREEN 4
i4
* '4
.404 \r A.
In I
I N C HE S3
Fig. 38. Probe Survey Data Span Traverse, Lower Plane16 Mesh Screen, Walls at 350 10" Left of CTR(PPLENUM - Pt ) /Q r e f
92
P(pI numl-P1/'re'
CTR SPFtI" TRAVERSE35. DEG UPPER PLFINE TEMP SCREEN
IV 0
.4 L
t
SINCHE
I 39 Pb S
.c- ( P L E .P t' '
9 NCHE'
Fig. 39. Probe Survey Data Span Traverse,, Lower :Plane16 Mesh Screen, Walls at 350, Center of TestSection (P LNM-P t)/Q re
93
P(Plinum)-P,".Qro
10 in. RT OF CTR SPAN TRAVERSE
35 ?EG UPPER PLANE TENP SCREEN.7
' I?
, I
.6 I
Fig., 40. Prb Sre Dt Sa raes, " Lower Pln16 Mes .Sc-een-, Walsa-3 Cnero Ts
5 .94
41 i .. . • I I..,_. -- . . . . c . . .
i ti,: H E
Fig. 40. Probe Survey Data Span Traverse, Lower Plane16 Mesh Screen, Walls at 350, Center of Test
• Section (PPLN -P t)/Qr e
94
U
P'pl .num)-P1 /Qref35 DEG LOWER PLANE 2 SCOEENSPOINTS 1 TO SO
rAA
16 /~ Mehad2Meh al t 5,it I to 50
I
--
( iPLENUM - /r
95
OD-Ai2P 456 PRELIMINRY IERSUREMENTS ND CODE CLCULTIONS OF FLOW 2/3
THROUGH A CASCADE OF DCA BLADING AT A SOLIDITY OF 167(U) NAVAL POSTGRADUATE SCHOOL MONTEREY CA W D MOLLOY
IUNCLASSIFIED JUN 82 F/G 21/5 L
,I
iii1 .2
H4'0
S 11111LA IU125L2 LA
MICROCOPY RESOLUTION TEST CHART
MICROCOPY RESOLUTION TEST CHART NATIONAL BUREAU OF STANDARDS-1963-A
NATIONAL BUREAU OF STANDARDS- 1963-A
lulI. -1111 L4.0 1220
II INl 1.8
MICROCOPY RESOLUTION TEST CHART r-NATIONAL BUREAU OF STANDARDS-1963-A
122.1 20
11116.
IIII .I1 '11.. =I1 ,., 1111 IIII-4 1
MICROCOPY RESOLUTION TEST CHART MICROCOPY RESOLUTION TEST CHARTNATIONAL BUREAU OF STANDARDS-1963-A NATIONAL BUREAU OF STANDAROS-1963-A
-- - '~-~-~--------- --- _
39 LIEG LOWER PLANE 2 SCREENS.POINTS 51 TO 100
'
AI
.4
IF
[NC HE 3
Fig. 42. Probe Survey Data at Midspan, Lower Plane16 Mesh and 2 Mesh, Walls at 350, Points 51 to 100
PPLENUM - )Qe
96
U
Pip I inurn,)-Pl IQre
PT 1 TO 50 LOWER PLAfE 35 DEG
4 MESH .041 WIRE SCREEN
.5
V"
.4
4 ' -& . .,..,.=
II.o • . . I I I , ...I ,.
INCHES
Fig. 43. Probe Survey Data at Midspan, Lower Plane4 Mesh Screen, Walls at 350, Points 1 to 50
(PPLENUM - Pt ) /Q ref
97
UA
P( p1 .num)-PI/ OrePT 51 TO 10 LOWER PLF"E 35 DEG
4 MESH .041 HIRE SCREEN
.4
Il
Fg . P Suve D a -Lo.
4 Mesh Screen, Walls at 350 , Points 51 to 100(P PLENUM - P t)/Q re f
98
.i. . m liiii il I Ira I 1 - '
I,,
P p | enum i-P /OrefPT 1 To 50 LOWER PLANE 35 DEG5 MESH .041 WIRE SCREEN
oi 7
T , I LL.... '
1 UCHE_;
Fig. 45. Probe Survey Data at Midspan, Lower Plane5 Mesh Screen, Walls at 350, Points 1 to 50
(PLENUM -Pt ) / Qr e f
99
P(p lenum.-P1/orfPT 51 TO 100 LOWER PLANE 35 DE".5 MESH .041 WIRE SCREEN
.4
q• , iI I ,II i I . i I
[ NCHESI
Fig. 46. Probe Survey Data at Midspan, Lower Plane5 Mesh Screen, Walls at 350, Points 51 to 100(PPLENUM - Pt)/Q ref
100
I
L Pp 1 en ',-Pt .-, I b ar"
LOWER FLIt.JE rIDSPAN -5.3
.1 I-
U!
.14 L
.13
(i "= 53(PPEU /l , wer .. Plne
0 i I
INCHES
Fig. 48. Probe Survey Data at Upstream Midspani
4i = 5.3 (PLENUM - Pt/1 Lower Plane)
102
.- -,- p I . -." ." ."
(-p1 C..THR.EE ,-ENTEPr-Ii:'.,T BLADES OVERLAYED,. i=5 .* -.
It
++1 +
4 - -,0,
"1"-
,q,
" Symbols :BLADE LEFT CENTER RIGHTPressure Side 1 *rSuction Side L + R
Fig. 49. Blade Surface Pressure Distribution on• Three Centermost Blades (i = 5.3)
103
(Pp 1 *num-Pt )/Q1 bar
UPPER PLANE MIDSPJ (i-5.3)(TPMEE PASSAGES OVERLAYED)
.175
i /0.075
ii / ,,,I.
Fig 50 Pr buv y D t t fi s a
.o" ' I f . %,," -,--- -"f
INHE
(i = 5.3, (P PLENUm - P t ) Q I , Upper Plane)
104
• - i" " I I'- -I - i I II -I -"
.
U
X b rUPPER PLANE MIDSPAN (i-5.:3)(THREE PASSAGES OVERLAYED).-
As|I I" "
.52h
.947
INCHESFig 51. Prob SuvyDt a is
(i =\ 5.,(/,) UprPae
105...-
q -
I NCHE S
Fig. 51. Probe Survey Data at Midspan(i = 5.3, (X/X)', Upper Plane)
105
0!
UPPER PLANE MIDSPMN 0~-5.:3)(JHPEE PASSAGES OVERLAYEl)
.45
.4
.25.
NC HES
Fig. 52. Probe Survey Data at Midspan
(i = 5.3, (Ps- P wi lf Upper Plane)
106
q s P ,]1" a
01
OUTLET RNGLEUPPER PLANE MIDSPfN , -5 o3)
I-
ICE
I!I
BV 4
II II
[N FCHE 3
Fig. 53. Probe Survey Data at Midspan(i = 5.3, Outlet Angle, Upper Plane)
107
V'.
I k . Pp Io i-P't I"' ba r
1 0 in FROM SUCTION SIDE
CENTERMOST BLADE (i-5.3.,
r
.4 i/
I-
.3L
Fig.54. Spanwise ,. S ed 1 in. from
(i =5.3 (PPLENM -Pt)QlpUpper Plane)
T / "10'
4' r
in FROM SUCTION SIDE
CENTERMOST BLADE (i =5 :3)
,iw
.7 .
t N CHE S
I
I€
Fig. 55. Spanwise Probe Data Surveyed 1 in. fromSuction Side of Centermost Slade(i - 5.3, X/X, Upper Plane)
109
I . . . I q/ " I
S.
kPp Ion-Pt j-'QI lkr1.0 in FROM PRESSURE SIDE
CE.Q4TERMOST BLADE (0-5.3)
II .4
.3
SL
., N
I..
NCHES
Fig. 56. Spanwise Probe Data Surveyed 1 in. fromPressure Side of Centermost Blade(i - 5.3, (PPLENUM - P't)/Q' Upper Plane)
110
wi
1.0 in FROM PRESSURE SIDECEITERMOST BLADE (i -5.3)
F{
rn - 4
... A
INCHES
Fig. 57. Spanwise Probe Data Surveyed 1 in. fromPressure Side of Centermost Blade(i - 5.3, X/i, Upper Plane)
%0101 i
Fig. 58. Resultant Blade Force Vectors by Momentumq Balance (-- -- -) and from Surface Pressure
Integration - ) i = 5.3
112
C1 1 ,. >% c1X .i=5. 3.CENTERrV:'5T BLADE
.7
3 '-9----...---j -_
#3
Fig. 59. Measured Blade Surface Pressure Distribution(- = 53, * = Pressure Side,
+ = Suction Side)
113
VC.
-IENTERMIOST BLADE469 ,
.25
.175
.125
.'5
X.
Fig. 60. Measured Blade Surface Velocity Distribution(, = 5 - * -Pressure side,
+ -Suction Side)
114
"5
U
0.6
SCD - 2D
0
0 801
0.4
00
00000 000000000
(_)
°°000o
0000000 00000000 0 00 0
0.2 0
1
0o
0.0 I I II,m0.0 0.2 0.LI 0.6 0.8 1.0
X/C
Fig. 61. 2D Code Blade Surface Mach Number Distribution(i = 5.3)
115
0.6
°+ - 3D
+
0.4 +++
+ + + + + + + + + + + + + + +4
++ +
U +
++
lu ~+ t+-+
' ~0.2 -
0.0
0 .0 I I I I , I I
0.0 0.2 0.4 0.6 0.8 1.0
X/C
Fig. 62. 3D Code Blade Surface Mach Number Distribution(i = 5.3)
116
0.6
*- MEASURED
0.4
CCS
NEA
NINE
0.2
0 .0 - II I I I I I
0.0 0.2 0.4 0.6 0.8 1.0
X/C
Fig. 63. Measured Blade Surface Mach Number Distribution(i = 5.3)
117
q
0.6
(D - 2D OS01IC
4k + - 3D QSONIC
X - MEASURED
0.41
(-d)
0.2 d
U ~~0.0 I I
0.0 0.2 0.'4 0.6 0.8 1.0
X/C
qFig. 64. Blade Surface Mach Number Distribution
(i = 5.3)
118
APPENDIX A
MODIFICATIO11 TO THE INLET GUIDE VANE SECTION
OF THE SUBSONIC CASCADE WIND TUNNEL
As discussed in Section I, Cina discovered during his
test program that while the inlet flow to the test section
was uniform in direction and uniform in wall static pres-
sure, it contained a variation in velocity and stagnation
pressure resulting from the wakes of the IGV's. Because the
inlet guide vanes were spaced at intervals of two inches and
the test cascade blades spaced at three inches, departures
from strictly periodic conditions were detected from one
Wo 9, test blade passage to another.
To alleviate this problem, the inlet guide vane arrange-
ment was modified so that the guide vanes were placed at 1
inch intervals. In'order to preserve the option of reverting
to a two inch IGV arrangement and because it was not possi-
ble to machine the south wall to hold additional blades, a
separate structure was placed between the bell mouth contrac-
tion and the walls of the cascade. By mounting the IGV's
in a separate unit which remained fixed once installed,
hardware adjustments between tests associated with a change
of end wall angle were greatly simplified.
The new inlet guide vane assembly was constructed using
two lengths of 10 inch steel channel as shown in Fig. A.l.
119
one set of guide vanes was mounted on the south side of the
unit at 2 inch spacings. A second set of vanes was mounted
at 2 inch spacings on the north side of the unit. When the
unit was assembled the guide vanes mounted from alternate
sides meshed, resulting in an inlet guide vane spacing of
1 inch. The unit was provided with a single hand crank at
the east end so that the vanes would be adjusted in unison.
once installed the complete structure could be left in place
when the cascade north wall was removed to adjust air inlet
angle. The one inch vane spacing ensured that periodicity
at the test section would result for any test blade spacing
which was a multiple of 1 inch. Equally important, the
wakes remaining at the inlet to the test cascade would be
WJ greatly reduced as a result of closer spacing.
Figure A.1 shows the details of the inlet guide vane
unit, while Fig. A.2 shows the assembly in relation to the
bellmouth contraction and the side walls. Figure A.3 shows
the mechanism to adjust the inlet guide vanes. Figure A.4
shows a view of the IGV assembly from the north side. A
view of the Cascade Wind Tunnel partially assembled (north
side wall off) is shown in Fig. A.5.
120
APPENDIX B
SELECTION AND INSTALLATIOIN OF SCREEN MATERIAL
Pankhurst and Holder [Ref. 17] show that the turbulence
of an airstream can be increased by placing a coarse mesh
across the flow upstream of the test section. One of the
most effective methods which is used for the reduction of
turbulence and non-uniformities also consists of placing a
mesh screen across the tunnel. Screens used for this pur-
pose are of a finer mesh and are placed at a greater dis-
tance from the test section, and normally in the low-speed
region upstream of the contraction in a conventional sub-
Wj sonic wind tunnel. By using such a screen the large scale
eddies are removed at the expense of the introduction of a
greater number of smaller eddies which decay rapidly.
llcEligot [Ref. 16] investigated the possibilities of
reducing non-uniformities in the test section of the sub-
sonic cascade wind tunnel. His investigation and recoin-
q mendations were completed while the inlet guide vanes were
still at 2 inch spacings. £cEligot concluded that some
modification was necessary to achieve one percent uniformity
q for the mean velocity at the test cascade inlet plane and
suggested several options. one of the options suggested was
placing the turning vanes (inlet guide vanes) at a closer
q pitch. As explained in Appendix A, the pitch of the inlet
126
guide vanes was reduced from 2 inches to 1 inch. This new
inlet guide vane arrangement did result in a one percent
uniformity for the mean velocity at the test cascade inlet
plane.
The other approach suggested was the use of wire gauze
screens. lMcEligot showed that the velocity distribution ap-
peared to be largely dependent on a pressure drop coefficient
K, defined by the equation
K Pl - P
where p1 and P2 are the pressures upstream and downstream of
the screen respectively. This pressure drop coefficient de-
wy' pends mainly on the blockage coefficient B defined by the
equation
8=(1 - dX)
where d is the diameter of wire used in the screen and X~ is
the distance between the wires. This blockage coefficient
is commnonly referred to as "percent open area" in catalogues
of industrial wire cloth and woven wire screens.
For the velocities and flow angles used in the cascade
q wind tunnel, IMcEligot recommended using a wire gauze screen
with a resistance coefficient, K, of 2.2 and a blockage
coefficient, $, of 0.47. However, since the new inlet guide
vane arrangement resulted in a one percent uniformity for
127
L
the mean velocity and the pressure drop across a screen with
a blockage coefficient of 0.47 was expected to be higher
than could be tolerated for the desired test conditions,
screens with a slightly higher blockage coefficient (higher
percent of open area) were selected to be tested.
The screens tested were of the following configurations:
MESH WIRE DIAMETER (inches) BLOCKAGE COEFFICIENT
4 .0410 .6989
5 .0410 .6320
16 .0105 .6922
Until the effectiveness of wire gauze screen in reducing
non-uniformities in this facility was proven, a temporary
Ive installation of the screen material was considered adequate
for testing purposes. The test screen was installed in the
cascade wind tunnel by placing it between the inlet guide
vane assembly and the north and south end walls. This ar-
rangement placed the screen 7.25 inches downstream of the
inlet guide vanes and 19.3 inches upstream of the lower test
plane. Figure B.1 shows the installation of the wire gauze
screen.
1 29
U
APPENDIX C
CASCADE PERFORMANCE PARAVMERS
(by F. S. Cina; reproduced with minor changes from Ref. 7)
The performance of a cascade is specified in terms of
the deviation angle (6) and the loss coefficient (7) for
given inlet conditions. In Ref. 1 the loss coefficient is
shown to correlate in terms of the Diffusion Factor (D). In
the present work, the performance parameters were calculated
using the following expressions:I
1. Loss Coefficient (7)
CPt 1 ?pt2
CPt 1 CP1
where the mass averaged pressure coefficients in Eq. (1) are
defined in Appendix C of Ref. 7. It is shown in Appendix
C of Ref. 7 that the effect of time dependent supply con-
ditions are removed and the effect of AVDR is included in
the use of Eq. (1).
2. Diffusion Factor (D)
D2 + WuD 1 2aW 1 3
130
3. Pressure Rise
Cpstatic 1 (3)
4. Blade Surface Pressure Coefficients
PS - P
C - 1 (4)
C = P 2 (5)
5. Dimensionless Velocity
Vt
where V is the local velocity, V t = /T is the "limiting"t p t
velocity and Tt is the stagnation temperature.
1
131
APPENDIX D
INSTRUCTIONS FOR PREPARING INPUT AND OPERATING
QSONIC USING A RECTILINEAR CASCADE CONFIGURATION
D.1 BACKGROUND INFORMATION
QSONIC has the capability to calculate an axial, mixed
or radial flow field and the test cascade can be rotating or
stationary. The geometry of the streamsurface can be a 2D
planar cascade or axisymmetric with varying channel thick-
u ness and radial position. The capabilities of QSONIC, be-
yond those of previous cascade analysis methods (such as
described in Ref. 8) include the ability to calculate
We through weak shocks with a peak relative Mach number less
than 1.4, and completely around both leading and trailing
edge regions of a blade profile. The blade shapes in the
leading and trailing edge regions are not restricted to
circular arcs. Detailed instructions for preparing input
for a configuration other than an axial flow, stationary and
rectilinear cascade may be found in Ref. 9. What follows
are instructions for preparing the input applicable to the
Rectilinear Cascade facility and running QSONIC on the Naval
Postgraduate School's.computer and associated operating sys-
tem. It is assumed that the reader has a working knowledge
of the NPS computer operating system and is familiar with
Refs. 13 and 14.
132
OSONIC operates in two parts. The first part gener-
ates a body (blade) centered mesh (geometry generation).
The second part actually solves for the flow conditions at
points in the mesh (flow solution). The data necessary to
generate a mesh consists of a two-dimensional description of
the blade shape. This is in the form of pairs of (X,Y)
points on the surface, together with parameters that de-
scribe the cascade layout, such as chord and stagger angle.
Additionally, parameters describing the density of mesh
lines complete the input for the geometry generation.
For flow field calculations, the upstream flow condi-
tions, convergence criteria and a schedule of meshes to be
used should be input. If quasi-three dimensional effects
are to be considered, a data file containing a description
of the streamchannel's radial thickness and position as a
function of distance along the stream surface is needed.
For the case described herein, this was input by assuming a
linear reduction in streamchannel thickness using a factor
of 1/AVDR. This gave excellent results. (The output of
another NASA code, Meridl [Ref. 15], can be used to input
data to QSONIC for compressor flow field calculations. This
program has recently become operational on the NPS computer.)
The output of QSONIC consists of listings which con-
tain an echo print of the input data, generated mesh coordi-
nates on the blade surface, progress reports on the flow
convergence and a list of the final velocities, pressures
133
and densities on the blade surface for each grid that was
included in the schedule of solution meshes.
D.2 INPUT DESCRIPTION
The input for QSONIC falls into the following
categories:
Logical and case control parameters (NAMELIST PARAMS)
Bulk data input:
For geometry generation runs (NAMELIST INSTUFF)
For flow solution runs:
Mesh point storage files
Streamchannel data file (for quasi-3D)
The following is a description of the logical and case
control parameters for the Rectilinear Cascade. Except for
TITLE, the format for all these variables is in namelist
form. The namelist is PARAMS. This information is taken
from Ref. 9 and adapted to the Cascade Wind Tunnel. Name-
list variables can be entered in any order. If a default
value is listed, it is not necessary to enter that particu-
* lar variable. If the default value is listed as none, then
a value for that parameter must be input.
The following parameters apply to both the mesh gen-
• eration and the flow solution runs, but the values need not
be the same.
134
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Variable DefaultName Tye Value Description
TITLE Alphameric None This is a one-line name forthe case being run. TITLEmust appear on the first lineof the data file that will bereferred to as NAMELIST DATA.
NOFLOW Logical False NOFLOW = .TRUE. if a run isto stop after generating amesh, such as the mesh genera-tion run.
NOFLOW = .FALSE. for the flowsolution run.
MS Integer None MS is an array (max. dimension10) of values (mcx. value =25) for the number of gridlines in the mesh that willenclose the blade. 25 is asatisfactory number for bladesof solidity near unity. Assolidity increases the maxi-mum value in MS should de-crease.
NOZES Integer None NOZES is an array (max.dimension 10) of values (max.value = 49) for the number ofgrid lines in the mesh ra-diating from the blade on onesurface. If a value of NOZESis greater than zero, a meshwith that many lines will bedeveloped and stored in thefile MESHGEN DATA. If thevalue is negative, QSONICassumes that this MESH al-ready exists in the fileMESHGEN DATA and will be readin. For Geometry Generationruns NOZES > 0 and for flowsolution runs NOZES < 0. Forelectrostatic analog gridgenerator, NOZES must be odd.
135
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BETAl Real None BETAl is the flow angle at theupstream boundary, in degrees.BETA1 is measured from the aero-dynamic chordline to the direc-tion of flowl clockwise isnegative. This can be obtainedfrom the output of the cascadetunnel data reduction program'CX4431'. It is listed as "in-let air angle." Because of adifference in definition, itis necessary to use the usualinlet air angle minus the stag-ger angle for BETA1.
Example: The output of CX4431lists an inlet air angle of42.4290. The cascade is con-figured with a stagger angle of14.270.
42.4290- 14.27
28.16 = BETAl
- V)S BETA2 Real None BETA2 is the flow angle at thedownstream boundary in degrees.It is measured from the aerc.dynamic chordline to directionof flow. Clockwise is negative.This can be obtained from theoutput of the cascade tunneldata reduction program 'CX4431'.It is listed as outlet airangle. Because of a differencein definition, it is necessaryto use the outlet air angle
* minus the stagger angle forBETA2.
GAMMA Real 1.4 This is the ratio of specificheats. For the Subsonic Cas-cade Wind Tunnel the defaultvalue works well.
TOLS Real None This is an array of dimension10 of tolerances correspondingto MS and NOZES. Each gridsolution will proceed until itsTOLS value is satisfied.
136
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MESH1 Integer 1 This is an index in thearrays 14S and NOZES of thefirst mesh to be generatedand/or used for the flow so-lution. For geometry genera-tion runs, MESH1 selects oneof the grids to be stored,provided NOZES(MESH) > 0.
MESHN Integer None This is an index in thearrays MS and NOZES of lastgrid to be calculated forgeometry generation runs orused for the flow solution.For geometry generation runs,MESHN = MESH1. Subsequentflow solution runs then solvethe case for all grids listedin MS and NOZES between indexMESH1 and MESHN. For flowsolution MESH1 normallypoints to the coarsest mesh.
To insure eqnal spacing ofgrid lines over the entiremesh,
NOZES(I) - 1 Integer,K (I - RMIT1 Itgr
where MESH1 I I - MESHN andK = 2, 3, 4, . . . (K = 2 ifgrid lines are doubled be-tween successive grids).
LAMDAO Real None Stagger angle of the bladerow in degrees measured fromthe throughflow direction tothe blade chord line. (Clock-wise is negative.)
CHORD Real None True chord of the blade, inthe same units as the bladecoordinates.
S Real None Blade spacing in the sameunits as the bladecoordinates.
137
The following parameters are required only f or the
geometry generation run. OSONIC gives the user a choice of
two grid (mesh) generators. The Electrostatic Analog grid
generator is applicable to any blade shape and any value of
stagger or turning. The interpolation scheme grid genera-
tor works for most blades except those with sharp leading
edges where the edge radius is less than .5% of chord. The
1 14 interpolation scheme allows the user to concentrate grid
lines in areas of high interest around the blade. With the
Electrostatic Analog grid generator no concentration of grid
1 lines is available. For the cascade configuration used in
this study, the interpolation scheme provided gross errors
in the flow solutions, so the Electrostatic Analog grid
I Wye generator was used with good results.
Name Tye Default Description
NED Integer None Total number of body definitionLe coordinates that are input. These
are the X,Y points that describethe profile of the blade, with thefirst point repeated as the lastpoint.
KN Integer None KN is used to indicate which gridgenerator is to be used. KN = 0will call the electrostatic analoggrid generator. For interpolationscheme, KN = number of body pointson upper surface from the minimum
q to maximum X points, inclusive.
NED and KN are required for eit'., grid generator. If
the electrostatic analog grid generator is used, no other
138
parameters are used. If this grid generator is used the
value from NOZES that is used must be odd.
The following parameters are used only if the Interpo-
lation Scheme is used to generate the mesh.
Name Type Default Description
RLE Real None RLE is the leading edge radiusof the blade, with units thesame as the coordinates de-fining the blade profile.
RTE Real None RTE is the trailing edge radiusof blade.
THETL Real 0 THETL is the camber angle of6 the leading edge in degrees.
It is measured from the aero-dynamic chord to the line tan-gent to the mean camber line atthe leading edge; clockwise ispositive.
THETT Real 0 THETT is the camber angle atthe trailing edge in degrees.It is measured from the chordline to the mean camber line atthe trailing edge. Clockwiseis positive.
CAMPER Integer 6 For blades whose chordline liesoutside the blade profile, suchas the DCA blading discussed inthis report, extra grid linessurrounding the blade areneeded to interpolate the bladeposition. The truncated valueof MS( )/CAMPER is added toMS( ). The maximum allowedvalue of MS( ) + MS( )/CAMPERis 30 grid lines. These arethe grid lines that enclose theblade profile.
STABAC Real 0.999 STABAC is used only for testcases where no blade shape isto be input. Default value isusually adequate.
139
U
I
CHOP Real 0.99 If leading edge or trailingedge radius is less than 2% ofchord consult Ref. 9 forclarification. Normally,0.9 < CHOP < 1.0.
SMOOTH Logical False For automatic addition of moreblade definition points in theregion of the leading and trail-ing edges set SMOOTH. = .TRUE.This should be done for allblades except cusps and wedges.
LEONLY Logical False LEONLY = .TRUE. for smoothingabout the leading edge only;this is used if the trailingedge is a cusp or a wedge.SMOOTH must also be .TRUE.
SLPl Real 1 These parameters control theSLP2 Real 2 concentration of grid lines, ifSLP3 Real 1 desired. The default valuesSLP4 Real 1 worked well for the DCA blades
reported herein. For con-trolling the amount and loca-tion of the concentration
Wye consult Ref. 9.
The following logical and case control parameters are
required only for flow solution runs.
Name Type Default Description
MINF Real None This is the Mach number at theupstream boundary. This can bedetermined from the non-dimensional velocity X outputfrom the cascade tunnel datareduction program 'Redd 5' andthe relationship,
y- M2 X which yields1 - X
I - X2
140
TOLS(I) is the tolerance forMS(I) and NOZES(I). There arethree forms of input permitted.
A) -1.0 < TOLS(I) < 0.0: Cal-culations of the flow solu-tion will proceed until therelative circulation error
NCALC-XCT < ITOLS(I)ICEXACT
TOLS values between -103
and -106 are typicalvalues for grids. Thismethod of input is appro-priate only for lifting(non-symmetric blades)cases.
B) 0.0 < TOLS(I) < 1.0: Cal-culations of the flow solu-tion will proceed until theaverage relative change in
yyw potential is less than theabsolute value of TOLS(I).
< TOLS(I)AVE
Typical values should be-3 -5
between 10 and 10
C) 1.0 < TOLS(I): Calcula-tions proceed until thenumber of iterations equalsTOLS (I).
Regardless of TOLS input, thesolution for each grid willstop after 300 iterations ifthe TOLS criteria has not yetbeen made. All three formswere used for the cascade con-figuration reported hereinwith no discernible differencesin results.
141
U
OVEREL Real 1.5 The default values of theseUNDERL Real 1.0 parameters are adequate forSUPREL Real 1.0 flow conditions in the subsonicNOWREL Integer 20 cascade wind tunnel.NOTYET Integer 2TEGARD Real 2.0DA14P Real 1.0CII Real 0.2
IT Integer 10 Number of iterations betweenintermediate printouts of re-siduals and Mach number. Theinformation controlled by thisparameter is of limited valuein comparing with measureddata, so a value greater than10 reduces the amount of com-puter printout. For the studyreported herein 40 was used.
ALLOUT Logical .FALSE. To list the flow quantities atall grid points in the lastmesh set ALLOUT = .TRUE.. Un-less a very coarse grid isused, the output resulting fromALLOUT = .TRUE. would be ex-
P)o tremely voluminous and oflimited value. Until the cas-cade is configured so it ispossible to take data frombetween the blades, ALLOUTshould be .FALSE..
QUASI3 Loqical .FALSE. QUASI3 = .TRUE. to activatestreamchannel thickness and/orradius variations. The cascadewind tunnel has no radiusvariations, but to simulate 3-Deffects the streamchannelthickness is reduced at theexit boundary by a factor ofI/AVDR. This data is placed ina file used by QSONIC if a
* quasi 3-D solution is desired.
NSTRM Integer 1 This is the position of desiredstreamsurface data on thestreamchannel file used ifQUASI3 = .TRUE.. Currently the
• default value of 1 identifiesthe proper streamsurface data
142
in the streamchannel file. Ifthe output from the NASA code'Meridl' is used for thestreamchannel data, then byusing different values ofNSTRM, different streamsurfacedata may be used.
RIN? Real 1.0 This is the spanwise radiusat the upstream boundary di-vided by aerodynamic chord.Radius effects are activatedif RINF # 1.0. The currentversion of QSONIC allows thefollowing cases.
QUASI RINF Results
1) .FALSE. 1.0 Planar 2D flow
* 2) .TRUE. # 1.0 Thickness onfile; radiuson file.
3) .TRUE. 1.0 Thickness onfile; con-
rye stant radius.
Only 1) and 3) apply to thecascade wind tunnel.
WAKE Real 0.0 These parameters apply only ifMINF2 Real 10.0 the test cascade is rotatingOMEGA Real 0.0 and/or the downstream Mach isVAXIAL Real 999.0 near ..0.FLOCO Real 999.0
S At this point all of the logical and case control para-
meters necessary to use QSONIC for the flow conditions pos-
sible in the subsonic cascade wind tunnel have been discussed.
The following is a description of the Bulk Data input for
the geometry generation run and the flow solution run.
143
.
The format for all variables in the bulk data for mesh
generation (geometry) is namelist form. The namelist is
INSTUFF.
Name T Default Description
H2 Complex None This is a table of points de-fining the blade profile. Thereal part = X, and imaginarypart = Y coordinate. The tablebegins at the point of maximum Xvalue at the trailing ;dge andproceeds clockwise bacA aroundto the first point, which is re-peated. The blade must be at thestagger angle and the origin atthe point of minimum X. ForElectrostatic Analog grids, thestagger angle must be positive(leading edge low, trailinq edgehigh). The maximum number ofpoints in H2 is 99 for the inter-polation scheme or 63 for theElectrostatic Analog.
BUG2 Logical .FALSE. BUG2 = .TRUE. for a more detailedoutput of geometry generation.This will include the X,Y coordi-nates that define the mesh aswell as second derivatives atgrid points on the body. Exceptfor trouble shooting this data isof limited value at the Dresenttime since there is no graphicoutput.
The bulk data for flow solutions consists of a mesh
file and the streamchannel data file if quasi-3D effects are
to be calculated. The mesh file is created by QSONIC during
the mesh (grid) generation run. No further inputs are re-
quired from the user for the mesh file.
1
I 144K.
The streamchannel data file must contain a table of
streamtube thicknesses, radial positions and corresponding
X values along the streamsurface.
Name T Default Description
L CHO Real None CHO is the aerodynamic chordmultiplied by the cosine ofLAMDAO. (LAMDAO E stagger angle)
NRSP Integer None NRSP is the total number of datapoints in each of the tables ofthickness, radial position, and Xlocation. If !NRSP is 2, a lineardistribution is obtained betweenthe endpoints given. NRSP = 2was used for the study reportedherein with good results.
RM Real None Array of corresponding X loca-tions for thickness and radiusdata values. X = 0 representsthe leading edge of blade, with
0 the blade at stagger angle. Theunits can be any consistentlength scale common to.CHO, RM,RMSP and BESP. Inches were usedin this study.
RM.SP Real None Spanwise radial positions ofstreamsurface at the X locationsgiven in RM. RMSP was not usedin the current study.
BESP Real None Array of streamtube thicknessvalues at the X locations speci-fied in RM. For the study re-ported herein, at X = 0 astreamtube thickness of 1.0 wasarbitrarily selected. Thestreamtube contraction throughthe test section was similatedby reducing the thickness atX = 0, by a factor of 1/AVDR atthe trailing edge. Duval [Ref.3] explains AVDR.
145
D.3 PREPARING INPUT FILES
QSONIC was originally configured to use several input/
output devices while reading data and generating output.
The input/output devices are listed below as used by QSONIC.
I/O Unit la
2 File containing streamchannel data. This is usedonly if QUASI = TRUE..
5 Standard card input; NAMELISTS PARAM4S, INSTUF.
6 Standard printed output.
13 For mesh generation runs, coordinates of all meshpoints are written here. For flow solutions, X,
* Y, velocities, pressures and MACH are recordedfor graphic display. The program currently has nographic output capability. No user action isnecessary to create this file.
18 Used as temporary storage. No output is storedV)S here. No user action is necessary in conjunction
with this file.
23 Previously developed mesh coordinates are read infrom this file during the flow solution. After amesh generation run, the user must create this
lfile and put in it the data from I/O unit 13, sothat during the flow solution QSONIC can read inthe mesh points.
QSONIC is presently configured to operate with the CMS
system of the IBM 370 computer. This system provides a high
degree of flexibility in parameter selection. With this
system, all the input/output units previously mentioned are
on the disk space assigned to the Turbopropulsion Laboratory
(TPL). Access to QSONIC and the TPL disk space can be ob-
tained through the Director of TPL.
146
U4
The first step in using QSOITIC is the creation of the
data file necessary for the mesh generation run. This is
done using the standard procedures of the XEDIT function of
the CS operating system. Reference 14 has specific in-
structions for creating new files. The filename and file-
type for the data used in this study was UAMELIST GFCMD.
Once the data file is opened, the necessary data is input
beginning at column 2 of the virtual card. Since the varia-
bles are in namelist form, they can be input in any order.
Table D.1 is an example of the data file necessary for
* the mesh generation run. The TITLE must appear on the first
line (FORMAT = 20A4). After the TITLE, the logical and case
control parameters are input after the namelist &PARAf!S.
p o When all the case control parameters required are input the
PARAYS nam#list is closed with &END. On the next line of
the data file the bulk data for the mesh generation run is
input in namelist form, with the namelist &INSTUF. The
Hi = 100*(0.0,0.0) that appears after &INSTUF on Table D.1
was used on earlier versions of QSONIC, but is not used in
the present version. It should, however, appear in the data
file before the H2 variables (X,Y coordinates defining the
blade profile).
At this point, some discussion of the coordinates de-
fining the blade profile is warranted. Table D.2 is a
listing of the X and Y coordinates of the DCA blading used
in this study. Figure D.1 is a plot of these coordinates.
147
U
Recall that the coordinates defining the blade profile for
QSONIC must be for the blade at the stagger angle and mini-
mum X at the origin. The coordinates of Table D.2 were
translated and rotated using a coordinate transformation
routine for the HP-67 programmable calculator. These new
coordinates appear in the namelist INSTLFF on Table D.l.
Figure D.2 is a plot of the translated and rotated coordi-
nates. It is highly recommended that such a plot be made
for any new blade profiles, to ensure that the original
coordinates are translated and rotated properly.
The second step in using QSOFTIC is the creation of the
data files necessary for the flow solution run. The file
used for the flow solution in this report is on the "_PL disk
0- space with a filename/filetype of NAMLIST FLO'D. The sim-
plest way to open this data file is to use the XYDIT func-
tion, as discussed in Ref. 14, to start a new file. Then
input the same data as is in the data file for the mesh
generation run usinq the XDIT subcommand GET (filename)
(filetype). The appropriate changes and additions can then
be made to this file. Table D.3 is an example of the data
file just discussed.
Two more data files are required for the flow solution.
q The data for one of these is created by the mesh generation
run. The other file contains the strea.channel thickness
data for implementing quasi-3D effects.
q
148
After the mesh generation run, a file with the file-
name/filetype MESHGEN DATA will appear on the disk. Create
a new file with the filename/filetype MESHIN DATA. This is
most easily done by issuing the command 'XEDIT MESHIN DATA';
then use 'GET MESHGEN DATA'. This file contains the pre-
viously developed mesh coordinates.
The streamchannel data file should have the filename/
filetype of DATA5D DATA. The format for the data file is
shown below.
Virtual Card Column No. Variable Uame
J_ BLANK
2 BLANK
3 21-30 CHO
4 BLANKvie 5 36-40 NRSP
6 BLANK
7 BLANK
8
9
10
11
12 1-80 (8F10.5) RN
As needed
1-80 (8F10.5) RMSP (not used inthis study)
As needed
1-80 (8F10.5) BESP
Table D.4 is an example of the data file used in the
present study. Since NRSP = 2 was used for this study a
149
linear distribution is assumed for the streamtube thickness
values and only 2 values of RM and BESP are required; there-
fore, only 1 virtual card was required for each array.
D.4 PROGRAM OUTPUT
The output generated by QSONIC for the geometry genera-
tion run includes a printed listing (I/O unit 6) and a mesh
point file (I/O unit 13). The printed listing under the CMS
system I/O unit 6 is normally the computer terminal unless
the command 'FILEDEF 06 PRINTER' has been invoked. It is
unusual for the program to run properly the first time, so
initially it is helpful to have the printed listing appear
at the terminal. Once the program is running properly the
output should be sent to the line printer.
The flow solution run output consists of a printed
listing (I/O unit 6) and a plot data save file (I/O unit
13). Once the flow solution is running properly the printed
listing should be sent to the line printer.
Table D.5 is an example of the output generated by the
geometry generation run. Figure D.3 is a plot of the grid
output points on the blade surface, horizontal chord, pro-
duced by the mesh generation run. Figure D.4 is a plot of
the grid output points with the blade at the stagger angle.
Table D.6 is an example of the output generated by the flow
solution.
150
4- - - 1
A det;. Led explanation of the printed output for the
program QSOITIC may be found in Ref. 9.
D.5 RUNNING THE PROGRAM
The files on the TPL disk space that apply to QSONIC
are listed below:
QSONIC EXEC Al
QSONIC FORTRAW Al
QSONIC TEXT Al
NAMELIST GEOM Al
NAMELIST FLOW Al
NAMELIST GEOMD Al
NAMELIST FLOWD Al
DATA5 DATA Al
DATA5D DATA Al
QSONIC EXEC sets the input/output devices required to
read and store data. QSONIC FORTRAN7 is the source program.
To document the changes to QSONIC necessary to use the code
with the IBM 370 operating system and serve as a reference
for future users, a program listing is included at the end
of this appendix. QSONIC TEXT is the computer executable
code created when QSONIC FORTRAN is compiled. NAMELIST GEOM
and NAMELIST FLOW are the data files for the geometry gen-
eration and flow generation respectively for the example in
Ref. 9. DATA5 DATA is the streamchannel data required for
the quasi-3D solution for the example in Ref. 9.
151
NAMLIST GEOMD is the data file for the geometry cen-
eration for the DCA blading used in the study reported
herein. NAMELIST FLOWD is the file for the flow solution
for the cascade configuration used in this study.
QSONIC expects the input data to be in a file on the
TPL disk space named NAMELIST DATA. Since the first time
QSONIC is run is to develop the body centered mesh, the file
NAMELIST GEOMD must be renamed NAMELIST DATA, using proce-
dures specified in Ref. 13. Because QSO1!IC requires large
amounts of virtual memory, extra storage must be defined for
9 the code to operate. This is accomplished by issuing the
command 'DEFINE STORAGE 1504K'.
With the data file renamed and more storage defined,
pp. type 'QSONIC' to load the program. The output will appear
on the terminal screen unless FILEDEF $6 PRINTER was invoked
prior to loading the program.
After the mesh generation is complete, rename NAMELIST
DATA to NAMELIST GEOMD and change NA14ELIST FLOWD to NAMELIST
DATA. Create a data file with the filename/filetype MESHIN
U DATA. The elements of this file are the same as the elements
in the file MESHGEI! DATA that was created by the mesh gen-
eration run. The necessary input/output files are now con-
figured fQr a flow solution run. Issue the command 'OSONIC'
to begin execution.
If the program output appears at the terminal it is
possible to have some I/O error messages appear with the
152
q
output. This is because the write statements in QSONIC are
formatted for the 132 character long line of the printer.
These errors do not affect the validity of the program
output.
The explanation for any error or condition message
generated by QSONIC can be found in Ref. 9.
D.6 QSONIC UPDATE
Recently an improved version of QSONIC was reported by
NASA Lewis Research Center (Ref. 13]. The new version re-
quires less virtual memory and executes approximately 30%U
faster than the version presently in use at NPS. Also, the
output appears in a different format than is described in
this appendix. Reference 18 describes the most recent ver-sion of QSONIC in detail.
1
153
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154
TABLE D.2. TEST BLADE COORDINATES
X-COORD. Y-PRESS. Y-SUCT.
-0.044 0.000 0.000
-0.021 0.039
0.013 -0.042
0.178 0.007 0.142
0.400 0.067 0.244
0.622 0.120 0.333
0.844 0.164 0.413
1.067 0.207 0.480
1.289 0.242 0.538
1.511 0.271 0.584
1.733 0.293 0.620
1.956 0.309 0.649
2.178 0.320 0.664
2.399 0.324 0.673
2.622 0.324 0.671
2.844 0.318 0.660
3.066 0.304 0.640
3.288 0.284 0".607
3.511 0.260 0.567
3.732 0.229 0.515
3.955 0.191 0.453
4.177 0.147 0.380
4.400 0.098 0.298
4.621 0.040 0.200
4.844 -0.022 0.091
4.908 -0.042
4.943 0.040
4.966 0.000 0.000
155
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TABLE D.4. DATA FILE FOR QUASI-3D SOLUTION
STREAMLINE DATA FOR DCA1
4.8554
2
0.0 4.85500
1.00000 0.98476
157
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APPENDIX E
OSONIC PROGRAM LISTING
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LIST OF REFERENCES
1. NASA Report SP-36, Aerodynamic Design of Axial-FlowConressors, edited by Irving A. Johnsen and Robert A.Bullock, 1965.
2. NACA Report 1016, Effect of Tunnel Configuration andTesting Technique on Cascade Performance, by John R.Erwin and James C. Emery, 1951.
3. Duval, David A., Evaluation of a Subsonic Cascade WindTunnel for Compressor Blade Testing, M.S. Thesis, NavalPostgraduate School, Monterey, California, 1980.
4. Rose, C. and Guttormson, D. L., Installation and Testof a Rectilinear Cascade, M.S. Thesis, Naval Post-graduate School, Monterey, California, 1964.
5. Bartocci, J. E., An Investigation of the Flow Condi-tions at the Lower Measuring Plane, and in the PlenumChamber of the Rectilinear Cascade Test Facility, M.S.Thesis, Naval Postgraduate School, Monterey, California,
yjw 1966.
6. Moebius, Richard C., Analysis and Testing to Improvethe Flow from the Plenum of a Subsonic Cascade WindTunnel, M.S. Thesis, Naval Postgraduate School, Mon-terey, California, 1980.
7. Cina, Frank S., Subsonic Cascade Wind Tunnel TestsUsing a Compressor Configuration of DCA Blades, M.S.Thesis, Naval Postgraduate School, Monterey, California,1981.
8. NASA Technical Note TN D-5427, Fortran Program for Cal-culating Transonic Velocities on a Blade-to-BladeStream Surface of a Turbomachine, by Theodore Katsanis,i 1969.
9. NASA Handout, Draft of Technical Paper, Quasi-3D FullPotential Transon:.c Blade-to-Blade Code, by CharlesFarrell, 1981, Conference on Turbomachinery Flow Analy-sis fPethods--A Status Report on Maturinr Codes, Confer-ence at NASA Lewis; Reseerch Center, 14-J.5 October 1981.
q
278
U
10. NASA Technical Paper 1493, Performance of Two-Stage FanHaving Low-Aspect-Ratio First-Stage Rotor Blading, by
7Donald C. Urasek, William T. Gorrell and Walter S.Cunnan, 1979.
11. 3052A System Library (9845A), Hewlett-Packard Company,1978.
12. Turbopropulsion Laboratory, Naval Postgraduate School,Technical Note 80-0Z, Data Acquisition Programs for theSubsonic Cascade Wind Tunnel, by D. A. Duval, August1980.
13. W. R. Church Computer Center, Naval Postgraduate School,Technical Note VM-01, User's Guide to VM/CMS at NPS,October 1981.
14. W. R. Church Computer Center, Naval Postgraduate School,Technical Note VM-05, Introduction to the XEDIT EDITOR,May 1981.
15. NASA Technical Note TN D-8431, Revised Fortran Programfor Calculating Velocities and Streamlines on the Hub-Shroud Midchannel Stream Surface of an Axial, Radial,or Mixed-Flow Turbomachine or Annular Duct, by TheodoreKatsanis and William D. McNally, 1977.
16. Turbopropulsion Laboratory, Naval Postgraduate School,Project Report NPS67-81-019PR, Uniform Inlet Conditionsfor the NPS Subsonic Cascade Wind Tunnel, by Donald M.McEligot, December 1981.
17. Pankhurst, R. C. and Holder, D. W., Wind Tunnel Tech-nique, Pitman and Sons, 1952.
18. NASA Technical Paper TP-2030, Computer Program for Cal-culating Full Potential Transonic Quasi-Three-Dimensional
* Flow Through a Rotating Turbomachinery Blade Row, byCharles Farrell, 1982.
279
w
INITIAL DISTRIBUTION LIST
No. Copies
1. Defense Technical Information Center 2Cameron StationAlexandria, Virginia 22314
2. Library, Code 0142 2Naval Postgraduate SchoolMonterey, California 93940
3. Department Chairman, Code 67 1Department of AeronauticsNaval Postgraduate SchoolMonterey, California 93940
4. Director, Turbopropulsion Laboratory, 15Code 67Sf
Naval Postgraduate SchoolMonterey, California 93940
5. Fan and Compressor Branch 2(ATTN: N. Sanger)Mail Stop 5-9NASA Lewis Research Center21000 Brookpark RoadCleveland, Ohio 44135
6. LCDR W. D. Molloy Jr. 2VC-5, NAS Cubi PointFPO San Francisco, California 96601
280