Ni-. ^.f .' MOKTE:.: SGHOQTj .;:A9394S-500S J NAVAL POSTGRADUATE SCHOOL Monterey, California THESIS DEVELOPMENT OF A BOUNDARY LAYER CONTROL DEVICE FOR TIP CLEARANCE EXPERIMENTS IN AN AXIAL COMPRESSOR 1 by Muliukur Tarigan March 1988 Thesis Advisor Approved for public release; R P. Shreeve distribution is unlimited. T239283 REPORT DOCUMENTATION PAGE RESTRICTIVE MARKINGS UNCLASSIFIED ' c\ A^'-o=t - DISTRIBUTION AVAILABILITY OF REPORT 3 Approved for public release; distribution is unlimited. 30.V\GRAD \G 5C-ED^.E ' CNi ^E^CR' \^V3ER(S) MONITORING ORGANIZATION REPORT NUMBER(S) 5 7a Naval Postgraduate School C -2i;-E55 sraZPCoae) Stare ty Monterey, California 7b 93943-5000 ADDRESS (Cfy dude andZlPCoae) Stare Security 'ERSC\A, A.--C= State, (C/fy, and ZIP Code) 93943-5000 PROCUREMENT INSTRUMENT IDENTIFICATION NUMBER TO dassitication) ADDRESS Monterey, California 9 3c NAME OF MONITORING ORGANIZATION Naval Postgraduate School SOURCE OF FUNDING NUMBERS DEVELOPMENT OF A BOUNDARY LAYER CONTROL DEVICE FOR TIP CLEARANCE EXPERIMENTS IN AN AXIAL COMPRESSOR. S TARIGAN, MULIUKUR DATE OF REPORT 4 {Year, Month, Day) 15 PAGE COUNT Master's Thesis 3^ = = -£VE\*A3' \G'A'o\ The views expressed in this thesis are those of the author and do not reflect the official policy or position of the Department of Defense or the United States Government. "8 SuBjECT TERMS {Continue on reverse if necessary and identify by block number) Boundary Layer Spires, Axial Compressor, Case-Wall Boundary Layer Control i -3S" = AC" Cornrue on reverse if necessary and identify by block number) boundA boundary layer control device was designed to change significantly the case-wall The device was ary layer thickness entering a large-scale, multistage axial compressor. intended to double the boundary layer thickness in order to evaluate the influence of the inlet boundary layer in controlled tip clearance experiments being conducted on the compressor. The boundary layer characteristics expected to be produced by the control Kiel, cobra, device were predicted empirically and experimental verification was required. and impact probes were used in the experiments and pressures were recorded manually using water manometers. The geometry of the boundary layer control device, an annular array of spires, was derived from shapes developed for simulating the atmospheric boundary layer in A significantly thicker boundary layer was measured large rectangular section wind tunnels. However, the results were interpreted and recommendain the compressor than was intended. tions were made for geometry changes necessary to achieve the intended control for the tip clearance investigation. S-= 3.' ON AvA ,AS .\C.ASS- ED -^N. V:" OF ABSTRACT SAME AS RP 21 n D DTIC 22b TELEPHONE f/nc/ude Area Code) /E O- 3ESP0NS BlE 1473, :2c a 1 ton may be used until exhausted OFFICE SYMBOL 67Sf 408/646-2593 SHREEVE DDFORM ABSTRACT SECURITY CLASSIFICATION UNCLASSIFIED USERS SECURITY CLASSIFICATION OF THIS PAGE otner editions are obsolete UNCLASSIFIED Approved for Public Pele^.se; Development of a list ribut ion is unli-riite'i noundarv T^aver Control Pevice in an Axial Conpressor tor Tip Clearance experiments B.S., ''luli'.ikur Tariqan Major, Indonesian Mr Force Indonesian Air Force Acade^iy, 1966 Subrnitted in partial fultill^ient of the requirements for the deqree of MASTE]R OF SCIENCR IT.' AE^ONAfJTIC A L FNCU MFF PI ^IG NAVAL POSTGPADUATF SCF^OOL iMarch 1988 boundary A layer control device was designed significantly the case-wall boundary layer ina was a to change thickness enter- large-scale, nultistaae axial compressor. The device intended to double the boundary layer thickness in order to evaluate the influence of the inlet boundary layer in controlled tin clearance exoer iments being conducted coniDressor. The boundary layer characteristics on the expected to be oroduced by the control device were nredicted empirically and experimental verification was and impact probes were used in reguired. were recorded manually using water manometers. of the boundary layer control Kiel, cobra, the experiments and pressures The geometry device, an annular array of soires, was derived from shapes developed for simulating the atmospheric boundary layer in large rectangular section wind tunnels. A significantly thicker boundary layer was measured in the compressor than was intended. However, were interpreted and recommendations were made changes necessary tin clearance to achieve investigation. the results for geometry the intended control for the r r^'TRODUCTinM . I CO'^^PPES^OR A^tD OPrpATTpM IT. ^. rx ITT . B. IV. r-;M[->nj^c,.,.^p p-qpoi p.oriMpapY A. >^ r«ip;N'T'xTT^'^: ^ aH r^ nA^^ r^..-^ r ,-_ p r-y j n ^f LAVFP CO^TPOL nrviCF r^Fqrc-i i^:tfnt i. Re'7;.' 2. Oesiqn ir^nent.s s< Aporoach CONSTRUCTTO^ TEST PROGRAM! 1 2]^ 22 26 28 28 B. STATIC PRESSURE DISTRIBUTION MEASUREMENTS 31 C. BOUNDARY LAYER flEASUPEflENTS 31 ANALYSIS AND DISCUSSION 3g A. CALCULATION OF DISPLACEMENT THICKNESS 36 B. COMPARISON WITH DESIGN INTENT 39 C. VI. ]_ 9 21 PRELiniMAPY TEST V. ji 1. Poundary Layer Thickness 2. Profile Shape 3. Other Considerations ACHIEVING THE REQUIRED CONTROL CONCLUSIONS AND RECOMMENDATIONS 39 4-7 47 48 5O LIST OF REFERENCES BIBLIOGRAPHY INITIAL DISTRIBUTION LIST 54 jj , r- - ' ' : r.CHOOL LIST OF TAPLRS I. Dimensions of Standard Hal^-ridth Snires 24 II. Throttle Element ^rranqenents 29 III. Test Proqraf^ Sui^nary 30 IV. Pressure Dist r i^^ut ion Data for Conf ioura t ion 1 33 V. Pressure Distribution Data for Configuration 2 34 VI. Intenrated Velocity Profile Parameters for Conf iourat ion 1 40 VII. Integrated Velocity Profile ParaTieters for Configuration 2 41 LIST OF FIGHRES 1. Compressor Test Rio 2. View of the Inlet Belli^outh Without With (b) a Protective Mesh Screen 3. (a) and Conoressor Bladinq a. Flow Path View 7 b. Stage Tip Section 8 4. Velocity Oiaqrar^ 10 5. View of the Compressor Test Riq 11 6. Flectric Motor Drive 12 7. Throttle Showing Removable Elements 13 8. Arrangement of the Instrumentation 15 9 Probes 10. 11. 12. a. Probe Tip Geometries 16 b. Views of Probe Tips and Actuators 17 Meriam VJater Micromanometers a. Connections to the Probes 19 b. View of the Instruments 20 Compressor Throttle Section a. Element Positions 23 b. Spire and Plate Elements 23 Spire Element a. Circular Arrangement as Built 25 b. Linear Arrangement as Designed 25 13. Soire Geometry a. As Oesianed 27 t:.. As Built 27 Static Pressure Distribution Ahead of the TGV's - P-.^ = 7.25 Inches of ^^ater at =,- 32 15. Boundary Laver Profiles with Screens Configuration 1) and Spires (Configuration 35 16. Deter-ninat ion of the Displacement Thickness For Configuration 1 14. 17. 2) 42 Determination of the Displacement Thickness For Configuration 7 43 18. Comparison of Boundary Layers With and w'ithout Spires 44 19. Streamline Location for Uniform Inviscid Flow 45 LIST OF SYMBOLS p Cj_^ - Density - Center line - Static oressure - Static oressure at the case-wall p^ - Total pressure P^ - Total pressure at the center line P - Radius of the pipe Local radial displacement Pg i PcV] r - D - Diameter V - Velocity - Absolute velocity into the rotor blade - Absolute velocity out of the rotor blade ~ Reference velocity derived from measurements - Velocity at the center line VI V2 Voo (Eq.(2)) V^ - Local velocity Wi - Relative velocity into the rotor W2 ~ Relative velocity out of the rotor U - Wheel speed s - Spire height h - Compressor annulus height A - Displacement of uniform-flow, inviscid streamline passing through the spire tip, from the case-wall at the compressor inlet V-[ LIST OF SY"POL? (continueri ) Boundary layer t^'ijckness 'boundary layer disnlace^ent ~ i -^ : 1 >^ a ra Value of V/Voo "'.adial Pot'^r thickness nce ^-t t*~.e di snlacer-ent edne of the boundary layer in'.;ards fron the case-wall inlet relative airflow anqle wit*^ respect to the axis Potor outl'^t relative airflow anole the axis v/ith resnect to "Jotor inlet absolute airflcDw anqle with respect to the axis xOtor outlet absolute airflow anqle with respect to the axis ACKr'Ov.'LFnC'fi^IT The 1. aijt>nr wnuld nrnfv-.c;snr R. i^ li>e to sion Laboratory, California and iJav/al hi?= assistance and Postoraduate School, "onterey, staff, guidance for their director of the Turboproou 1- ^^^r^ove, . in Tan Moyle and Thaddeus ^est, project. this benefit the fnllov/inM neo^l-: the t}-\3n\< of VJithout their their experience, T could not have completed this thesis. 2. The NTS Photo Division for their effort tion on the photoqranhs repaired for 3. My wife, and -ny Enny Sitepu; dauphters, "iy Mena sons, and rny and coopera- thesis. Suranta and Ferianta; Sabarina, sunported ny spirit durinq ny studies. who alwavs P2TP0D^CTT0^' I. Axial connressors in aircraft engines are nearly unifor"^ inlet boundary layers, but ranoe of t'">.at flow/ nenerally ie- condition ^/it'-^ are reauired to ooer=ite stablv inlet flow distortion. thin over a found in oractice -'ulti-staoe core connressors, once develooed, are tv^en upry sensitive anv change to the tio-cao result In view of in the in rotor blades and the case-wall. ciency and It tin-qap in to develop the need changes in compressor effi- the loss of stability narqin in a betv;een the In particular, re'-'uction a is distorted inflov/. military aircraft enaines with improved thrust-to-weiaht ratio and increased tolerance to distortion, attention understand ina the flow in. has been liven in recent effects of axial compressors. tip clearance A years to chanqe on the larqe scale, multistaae axial conoressor facility, which would allow experimental investigations to be made under well-controlled test conditions, was installed and prepared for that purpose. (Re^^. The first experiment to be conducted in the one in which the tip clearance will be 1) facility is increased syste- m.atically and data will be obtained from instrumentation de- signed to flov/ be field. limited resolve the important changes However, the to the in the internal results of this experiment would particular compressor-face inlet flow conditions which the test installation qenerated. a priori, is case-wall boundary importance of the inlet the layer profile, and thickness, in ly The purpose nap. Thus, the boundary layer as important to chanqe of the physical relation to gao between the rotor and the case-wall. clearance fJnknown, equal- is it channe the to oresent study was the to control the develop an experimental technique to be used to boundary layer thickness entering the compressor. The approach was removable element as a in a installed "spires" throttle housing in and design The presence, duct. use an array of to the the throttle, of inlet and the difficulty of alternate approaches such as providing suction on the scale reguired, that is reported here, and a suggested this solution. Tn the work the design of is the spires reviewed program of measurements to evaluate the effect spires on the compressor inlet case-wall boundary reported. The m.easurements of layer, the is showed that the boundary layer with the spires was thicker than was intended, and that the velocity profile was unacceptably distorted. It was concluded that compromises which were made manufacture of the spires, which involved slender Also, cusped shapes with linear cuts, the installation within a round qeometry within data on of duct was a which the the design was spires as approximating the circular array a from tunnel that had based. the were unacceptable. quite different larqe wind in the linear provided the Recommendations were made for changes to be nade to the soires goal of doublinq the inlet boundarv layer changing the shane of the velocity profile. to achieve the thickness without II COMPRESSOR AND QPIJRATIOH . The compressor and details of test facility, collection method, data instrumentation used are '^iscussed the in the fnllowina sections. \. COMPRESSOR compressor three-staqe axial The with assembled desiqned a new to serve as a research tool for bladinq, was variety a The facility is shown in Fiqure experiments. presently facility, synnetrical desiqn of of 1. Two (iifferent sizes of inlet bellmouths were orovided in measure flow adjust the pressure differential and order to rate to the com.pressor satisfactorily for various staqe con- fiqurations and operatinq speeds. larqer bellmouth was used (Ref. with and without a protective are shown in Fiqure 2. enters the throuqh (Ref. 20-foot lonq a 1) 3. mesh screen over in the the duct containinq a inlet, the airflow the fiqure, outside the buildinq and flows throttle device bladinq the test inlet quide vanes first staqe is shown in the two The bladinq is removable and adjustable. present experiments, row of the present work, Views of the bellmouth, to the compressor test section. The compressor Fiqure As seen compressor from In 2). in Fiaure 3 (IGV), section was bladed two symmetrical was removed), parts of For the with one staqes (the and one row of exit SCO >=>! tl=^; V J) u o ^ CJ u a iV view ne thp Inlet Rellnouth Without (a) and I'ith (b) 3 Protective riesh Screen XvXvXv ^ioure 3. (Continued) Conore!=;sor Tlaciim (b) Stane Tin Section vanes aui'ie (EGV). Each staqe consisted of 30 rotor blades and 32 stator blades. The function of the TGV the radial distribution of piaure is 4, sv^metrical the 3, belt drive is radius (Both the oroduce equal to the an driven by ria a 150 ninimum loss two-dimensional compressor to the compressor is shown Figure in a The speed of the (Fiaure 6). RP^I The low speed drive by (1610 was used in the present experiment. The throttle, located approximately mid-way inlet bellmouth and the compressor face spaces (8 useable) throttle plates. 7. The 5. HP electric motor coupled by ch?,nqind the belt drive pulleys. 10 At incidence compressor can be chanoed nominally from 1600 to 2200 PPM) in axial and 5). conpressor test compressor is vary with radius.) designed to rotor blade 4, radii. all for the correspondinc cascade (Refs. The at by the stage design shown at one flow angles TGV is with resnect to the incidence sypnetric ^ velocity diaaran, velocity comnonent and each radius, turn the flow to produce flow anole renuired the rotor in the svr^^retric staqe. one in which the to is s The compressor throttle be the throttle chanqed only is by between the 1), for inserting different A view of can (Fiq. contained screens and shown in Figure stoppinq the Symmetric Blading Requires a^=62 & ot2=6l at All Radial Stations. Figure 4. Velocity niaqran 10 11 12 13 the connections between All the inlet bell'^outh and the comnressor were sealed to eli'ninate leaks that niqht effect the experimental B. results. TNSTRUMF:MTATIO^] AND DATA C0LLF:CT I ^)ri tlany The arrangement of conoressor case. the present experiments of the is IGV 8. pressure distributions In Cobra probe were airflow. The Kiel probe was surveys always probe was that the centerline of the duct. and the facing the installed and held fixed on the Pressure distributions in the probe were referenced to corresponding values pressure on the centerline and static pressure at wall. 9a and pressure ports on each side of the connected to the U-tube manometer such static same location (Figure in the the latter case, probe rotated travers- a used similarly to mea- A cobra probe was pressure and, by prior calibration, sure stagnation b). the com- Stagnation pressure pressor periphery shown in the figure. impact probe. inches in were located 1.0 distributions from tip to hub were m.easured using ing in static VJali the selected stations around at s instrumentation used shown in Figure survey stations taps and probe frorit along the oorts for probes are orovided around and of total the case- The differences between probe total pressure and wall static pressure and between probe were pressure adjusting twr '^eriam probe total pressure recorded manually micromanometers . after and Kiel carefully The connections to Traverse Probe (Impact Probe) Center Line Probe (Kiel) Case-Wall Static Pressure Tap Figure 8. < Arrangement of the Instrumentation 15 VIEW A - A VIEW B c=;'^-, - ,032'* B • A I A. Cobra Probe VT' VIEW C. Fiqure (a) Kiel Probe 9. Probes Probe Tip Geometries 16 A - A ^i Figure (b) 9. (Continued) Probes Views of Probe Tins and Actuators and a view of the nicromanoneters are shown in Fiaure 10. (a) and Fiqure 10. (b), The scales respectively. of the rieria-ii manometers were adjusted to zero jefore each experiment. meter to measure the counter and timing the compressor. ture were resi^ec t i vely total temperature inlet using barometer a located insid gible and no correction tions -he not and a oulse speed of building. required thermometer and Ourina each test jre was observed to for change in watermanometers was required. v/ere digital thermo- wheel to record the rotational the change in ambient tempe. Meriam a The local atmospheric pressure and temoera- measured , included instrumentation Auxiliary due to Air density the use velocity derived from the centerline probe. 18 be water density of a negliin the correc- reference Kiel Prohe Static Pressure Tap Figure 10, (a) rieriam V/ater Micromanorneters Connections to the Probes 19 '^iaure 10. (Continued) (b) Heriam Water iMicromanoneters View of the Instruments 20 Ill QOUNDARY LAYE^ CONTROL DEVICE , The boun^'^arv layer control device described is followinq section and the desi-in intent, actual in the desiqn, and construction are discussed. DESITAT A. 1 INTE\'T Requirements and Anoroach . boundary ''lor^al layer conditions at known to be 5 = 1.1 inches dary layer thickness and 5* = .13 layer control device. Either by could be reduced. In the screens, were inches. The boun- addim could be chanqed by wall, or by coolinq the case-wall, ness the compressor from earlier experiments with uniform inlet, suckinq air laver thick- planned experiment, required, to increase the boundary laver thickness factor of two and obtain measurements with of the tip clearance in the case- at the boundary boundary a it (5*) was by a different values the compressor. Thus, it would be possible to obtain data at two values of tip clearance while holding the ratio of boundary to clearance tip [6*/t] constant. To increase elements reiected. readily 6* by a factor of and graduated The for rouqhness tests with case-wall rouqhness two, screens were elements both could thin boundary 21 considered, but not be layers. removed Previous experience with suqqested that graded screens to produce axi-symmet difficult (graduated screen uniformity with r ic 2 installed blank throttle elements as shov/n in Fiaure the one in 11. Pes iqn . The system produce spires of boundary thickened particularly tunnels, in has been layers experiments previously to used rectangular in simulation of the atmospheric boundary 7). In Reference Table I produced were given for a used in the for the a to account configuration and annular The spire flow con- geometry and total number spires were selected using the information in Reference for experiments carried out in a wind tunnel. spire configuration was chosen for the to avoid possible in These data were but were corrected present design, traction (Figure 12). the data non-dimensional spire qeometry that known boundary layer thickness. circular duct the layer (Ref. based on many experiments, 7, wind required which careful of larqe a located so far from the compressor face. The approach taken was to use "spires" of would be it A 7 29-element circular arrangement resonance due to the wakes from the spires interacting with the 30 blades of the rotor. 1.5" 1 2 3 A 3. ^le-^ent Positions b. Fioure 11. 5 6 7 9 10 Spire and Plate Eler^ents Conpressor Throttle Section 23 TAT DI^E^ISIONS OF stan:. HEIGHT : -^.D I, HALF--WIDTH SPIRES SPIRE WIDTH 0.5000 0.0016 0.3750 0.0111 0.3100 0.0167 0.29 3 3 0.0250 0.2733 0.04 17 0.2483 0.0833 0.2100 0.12 50 0.1850 0.1667 0.1650 0.2500 0.1350 0.3333 0.1117 0.4167 0.0917 0.5000 0.0750 0.5833 0.0600 0.6667 0.0450 0.7500 0.0333 0.8333 0.0217 0.9167 0.0117 1.0000 0.0 a. Circular ^rranaenent as Built ) Linear Arranqer-ent as Designed . FIGUPF 12. Spire Elenent 25 B. CONSTRUCTION qeometry (Fiqure 13(a) could not The spire and therefore, locally, linear cuts as from aluminum in Figure 13(h). alloy, .25 inches thick, were arranged uniformly in attached tav three flush, the of the rim the screws were throttle screen was ring rina. a aooroxinated was the j^hape shown he nachine^ The shane and the with was cut 29-elements Fach snire was circular ring. countersunk Phillips-head screws to Mo locking wire was necessary since prevented from backing out hy installed in the throttle positioned dov/nstrean of housing, the spires any possibility of dam.aae to the compressor. the adjacent and a to prevent (a) As Desiqned Piqure 13. (b) Spire Geometry 27 As Built Tf^ST IV. program consisted test The PROGRAM exploratory flow of field neasure^ents detailed boundary layer surveys to the snires on the effect of the compressor A. nunber a initial, of and then series of a establish quantitatively the boundary thickness at layer face. PRELIMI^TARY TEST conductinq ^^efore establish an conducted to elements detailed flow the throttle in one which open throttle stall and It was was and spire by selected a The desired through- removed was well boundaries on the from both compressor map. found during this procedure that the position spire element in were similar average a that produced combination of screens only (Ref. 8). flow condition tests arrangement of screen which produced through-flow to mass rate of surveys, the throttle housing was of important. the Less stable compressor operation was found when the spire element was the tests, most downstream the element. two arrangements As a summarized in Table selected, and the test program summarized in Table carried out. 28 these result of II Illf were was THROTTLE ELEMENT LOCATIOM UPSTREAM co^'^^iGijRArrox (1) screen: o^:ly SC^EE\ C0>: FIGURATION (2) SCRFEM & il SCREEN *3 SCREEN #5 SCREEN ^1 29 | I S^IRE TARLR iir 1 TEST PROGRz\M S(U1MARY 1 TFIPOTTLE ELEMENT TEST CONFIGURATION SURVEYS 1 1 COBRA PROBE 2 1 IMPACT PROBE & KIEL PROBE 3 2 IMPACT PROBE & KIEL PROBE KIEL PROBE & STATIC PRESSURE DISTRISUTION flEASURETlEMTS B. In Test tion a 1, establish with the throttle elements 1, survey was conducted outer to inner case-wall. The procedure confiquraorobe to cobra oressure distribution of static the radial was to measure using the in in fror^ this experiment "indicated" static pressure trom the side the holes of the cobra orobe as step-by-step from was moved it the outer wall to the inner. The relationship of the cobra probe "indicated" static pressure was established usinq the case-wall static pressure and cobra orobe measurements adjaThe survey measurements were individually cent to the wall. referenced to total pressure from probe the Kiel at the center of the axial line A-A (Figure 8). so obtained The static pressure It is seen to decrease linearly is from, shown in Figure 14. the wall (Pc ) to the hub surface. C. BOUNDARY LAYER MEASUREMENTS In Tests 2 and 3, surveys were made using orobe from the outer case wall to where the became constant. almost (configuration configuration in 15, of 1) 2 and test (Table II). Test 3 2 was with was with the spire The results the impact impact pressure screens only element in are shown plotted Pigure 15 and listed in Table IV and Table V. In Figure the value of the velocity measured on the center line of the annulus has been used to normalize the profiles. s^j Figure 14. (Inches of VJater) Static Pressure Distribution Ahead of the Inlet at P^ -Psw = 7.25 inches of \Jater Gui(ie Vanes TABLE IV. PRESSURE DISTRIBUTION DATA FOR CONFIGURATION Ri = RADIAL DISPL. INWARDS FROM CASE-WALL, PRESSURES ARE IN INCHES WATER V/Vp ^L -^1 1 V/Voo 0.01 7.100 -.060 7.040 -.0902 .0923 0.02 7.092 -.318 7.058 -.0656 .0671 0.1 3.410 3.6466 7.075 .7018 .7179 0.2 2.3195 4.9920 7.197 .8142 .8328 0.3 1.539 5.5672 7.073 .8673 .8872 0.4 1.078 6.0044 7.038 .9030 .9237 .9264 .9467 .9814 0.5 .755 6.3286 7.048 0.7 .38 8 6.7828 7.043 .Q594 0.9 .185 6.9750 7.060 .9717 .9948 1.1 .010 7.1472 7.125 .9792 1.0016 1.5 -.010 7.3271 7.065 .9798 1.0018 2.0 -.0465 7.2882 7.061 .9980 1.0184 2.5 .0 7.3402 7.6500 .9987 1.0187 3.0 .065 7.3518 7.0835 .9991 1.0188 3.4 .071 7.3967 7.1890 .9915 1.0143 3.6 .070 7.4400 7.110 1.0000 1.0299 3.8 .101 7.4702 7.149 1 .0002 1.0225 4.2 .009 7.5859 7.1590 1.0068 1.0293 4.5 .006 7.6200 7.126 1.0109 1.0340 5.8 .091 7.7524 7.199 1.0015 1.0337 6.0 .012 7.6776 7.117 1.0153 1.0386 • 1 1 PRESSURE DISTRIBUTION DATA FOR CONFIGURATION R^ = PADIAL DISPL. INV7ARDS FROfl CASE-WALL, PRESSURES ARE IN INCHES WATER V/Vc^ ^c, Ri 0.01 7.009 .02 -.2179 --w 7.216 v/v» -.1710 -.1737 6.690 .4292 7.1170 .2419 .2456 0.1 3.800 3.2621 7.051 .6698 .6802 0.2 2.634 4.4082 7.0850 .7768 .7887 0.3 2.090 5.0133 7.07 .8292 .8421 0.4 1.848 5.4029 7.207 .8529 .8658 0.5 1 .84 5.3526 7.191 .8495 .8627 0.7 1.733 5.5393 7.195 .8614 .8748 0.9 1.497 5.7915 7.189 .8839 .8976 1.1 1.397 5.7872 7.062 .8915 .9053 1.5 1.373 6.1133 7.193 .9078 .9219 2.0 1.000 6.36 3 2 7.141 .9295 .9439 2.5 .915 6.3938 7.123 .9308 .9474 3.0 .484 6.7183 7.136 .9555 .9703 3.4 .032 6.8056 7.157 .9891 .9799 3.6 .156 7.4020 7.178 1.0000 1.0155 3.8 -.117 7.5492 7.264 1.0000 1.0194 4.2 -.227 7.9146 7.221 1.0310 1.0469 4.5 -.911 8.1556 7.098 1.0556 1.0719 5.8 -.411 8.1954 7.143 1 .0550 1.0771 6.0 -.337 8.1086 7.105 1.0520 1.0654 34 BOUNDARY LAYER . . -«^0.1 0.0 . 0.1 M OJ l I 0.9 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 IJ 1.9 V/V(1NF) Screens Figure 15. Boundary Layer Profiles With (Conf iqurat ion (Confinuration 1) and Spires ^ 35 2) ANALYSIS AND DISCUSS lOM V. report describes section of the This to the neasurenents results of in the method thickness, boundary layer calculate the used discusses the cornparison with the desiqn expectation, and sunimarizes the results. A. DISP LACEP1ENT THICKNESS CALCrjLA.TK^M OF The displacenent the present v/ork was Pgs. = + 1/2 (Pt- ) 9) configuration and for conf iqura t ion 1 in The nethod was as follows: qives, at any rad ial stat ion . (1) based on total pressure Va,f static pressure at the wall, and 2 P^i2 The reference velocity, centerline .13 inches. .53 Bernoulli's equation (Ref. Ptt. obtained for thicl-'ness from earlier experiments waS the at (P^ ) is ^'..^ ^Cl given by Pt = Cr, Ps ^Cr + 1/2 Using the results given static pressure pVco - Pc = 7.25 (2) Figure 14, which shows in dropped linearly from the tip to the hub at P,. ^ a to -0,8 distance of inches of water, 36 h = inches 7.2 that the of water inches, at — 0.11 = ] (7-4] = n.ni53Ri (3) ^Cl Usinq equations (1), each ooint (R^) and (2) the (3), for configuration (2) is ratio of velocitv at given, in the static pressure distribution for configuration + terms of 1, by 0.0153Ri (4) "sw ^tc, and the centerline velocity by VCL = Using / Equation 1 + (4) (5) 0.0153Ri and Equation (5), the ratio of velocity at the centerline velocity at each point to the the is given by (6) 37 From experiment - P»- and P^ P^ ^i W ^Cl i The Location from the case-wall to the hub. configuration profiles for shown and ( Figure in 6 ) boundary layer conf iaurat ion and 1 are known at each P_ which are 2 were obtained using Eguations 15 (5), (4), . The boundary layer displacement thickness was deternined from boundary layer profile data before normalising passane centerline displacement (y) of Referring velocity. to the the following and area A-2 were calculated the area A-1 sketch, to for each the probe from the case-wall using - if A-1 = A-2 then y v/v„ x-y -J^d - At - /^(i - where X total area is T7^) dy ^) ^y (6) = ^-1 the "free-stream" value of under the boundary 38 layer (7) V/V„ and A^ is the profile. The areas described by equations tion of y to were plotted as a funcThe (7) results for configuration data listed and determine the dispacement thickness (6*). 1 Table VI. in (8) are shown Fiqure 16, with the in The results for conf iqurat ion 2 are shown in Fiqure 17, with the data listed in Table VII. R. CO^'lPARISO^I 1 . WITH DESIGN INTENT Boundary Layer Thickness The effect layer thickness illustrates the boundary of the spire element clearly to increase is effect of layer profile on and 5 6* spire element the and the boundary the boundary layer thickness. the layer can qeometry of a combined However, chanqinq the shape of the results shown in Fiqure 18, layer thickness with the spire element the with the qoal by the is doubling of the overall and displacement thick- nesses without in inches. to 0.53 clearly be controlled the spire, selection and position of the screens. to produce 4.5 thickness was increased from 0.13 The boundary inches. selecting 18 both the on The overall thickness was increased from 1.1 to The displacem.ent Figure . the profile. Clearly, overall boundary exceeds the half- heiqht of the compressor annulus. We first examine how far the effect of the be expected to extend when the compressor annulus. the streamline from spire should flow from the duct enters the Referring to Figure 19, the position of the tip of the spire, when it TABLE VI. 1 1 INTEGRATED VELOCITY PROFILE PARAMETERS EOR CONFIGURATION 1 | y Ri / (1-V/V„)dy 0.0 1 x-y-J (1-V/V„)dy o o A^-/ (1-V/V<„)dy o .1473 0.0 0.0 0.1 .0461 .0539 .1012 0.2 .0703 0.3 ' .1297 .0770 2 .2138 .0611 7 .3023 .0483 0.5 : .39 38 .0411 0.7 .1177 .5823 .0296 0.9 .1246 .7754 .0227 1.1 .1295 .8705 .0178 1.5 '"7 ...._ ""7 0.4 . 2.0 / / / / 2.5 / / 3.0 / / / / / 3.4 1 1 1 3.6 .1473 3.4527 0.0 3.8 .1473 3.6527 0.0 4.2 .1473 4.0527 0.0 4.5 .1473 4.3577 0.0 5.8 .1473 5.6527 0.0 6.0 .1473 5.8537 0.0 1 1 TABLE VII. 1 1 1 INTEGRATED VELOCITY PROFILE PARAMETERS FOR CO^JFIGURATION Y Ri / y (l-V/V„)dY o 0.0 2 Y x-y-J (1-V/V„)dy 0.0 A^-/ (1-V/V„)dv o o 1 .5716 0.0 0.1 .0536 .0470 .5130 0.2 .0901 .1210 .4815 0.3 .1140 .20 27 .4576 0.4 .1343 .3880 .4473 0.5 .1537 .4741 .4179 0.7 .1933 .5456 .3783 0.9 .2262 .7238 .3454 1.1 .2580 .9032 .3136 _____ ""1 1.5 2.0 1 / / 1 / 2.5 / 1 / / 3.0 1 / / 3.4 I / / 1 1 3.6 / 3.8 / / 1 / 1 1 1 4.2 /_ / 1 4.5 .5716 4.1786 0.0 5.8 .5716 5.5501 0.0 6.0 .5716 5.7620 0.0 1 41 LEGEND XY-lNT(l-V/y(INF))pY 0.6 o.e X Fiqure 16. Determination of the Disolacement Thickness for Configuration 1 42 Fiqure 17. Determination of the Displacement Thickness for Conf iqurat ion 2 43 • o 1 3- • ! 3- 1 • 3- •i P 51 *3 i LEGEND lO •i- M- 9 3- i t O 5* (Config. 2) p C[_/ 3- 6* (Config. o -0^0.1 0.0 0.1 ojt o.a 0.4 o.s o.a 0.7 o.a o.o 1.0 1.1 u i.a 1.4 1.9 V/V(INF) Fic]urtj la. Comparison of Boundary Layers With and Without Spires 44 1) the conpressor approaches blading can be calculated usin-i the continuity' equation, pAV constant = assumino the airflow ( unizorm and axial at is Then the streamline displacement is both stations. compressor face the at (A) 9 niven by Ptt(r2 - (P.-s)^) ^ pTT(p2 - (R - A)^) pTr(R2 _ (r _ h) 2) defined in Figure 19. (10) PTT r2 where the notation the spire, = S 8 is inches, height at station 2, eguation (10), 4.56 iment in Figure from the inches results given of spires in Ref. the airflow extends 7, height. The difference tunnel results layer in to approximately comparison, In the effect of a the of applied in may be spire height from between the the the in linear arrangement the test section arriving at due to data in the circular of six spire heights downstream, approximately only 0.8 This factor was the annulus and Using these the effect case-wall. on the boundary large wind tunnel, inches, The height The results from the expp^- inches. show that 18 18 inches. 7.2 h = arrangement on spire 4.5 A = R = the of a extended to the wall. present spire present and the wind significantly different blockage presented by the spires to the pipe flow, or may result from the bluntness of the present shapes. 46 2 . Profile Shane conoaring In the two sir-nificant difference noted. Pirst, departure away fron the wall, sinnle power-law profile. There dient in the velocity deficit dary layer. This is the soire shape used to enphasize Fiqure in noticeable there is sioniFicant a seen to be one are from a 2 a sharp gra- out to the edpe of the boun- is nrobably the result of the bluntness of in the experinients the necessity cusped profile shown 13, sinilarity orofile shape for conf iqurat ion the in profiles and one to achieve Fiqure in The results appear . very slender, the rather 13(a) than use the blunt approximation shown in Fiqure 13(b). Second, profile close the affected by the spires. of turbulence in seems wall little This may be the result of the level inherent the pipe-flov; in rouqhness, but suggests that a to the and thicker boundary layer using spires which is pipe- the nay be difficult it to produce also similar profile shape both near to and far from the wall. 3 . Other Considerations The degree of axi-symmetry briefly examined was during the experiments by rotating the spire element throttle housing. detected, however, the data reasonably representative The degree of Fiqure in of unsteadiness the in 47 in non-uniformity peripheral Some 18 are believed average the flow, the was to be radial behavior. which made it difficult during probe surveys, stable readings to obtain did not measurably affect the accuracy of the nean velocityprof i les C. REQUIRED CONTROL -'XCHievING THE The velocitv nrofile shown for configuration 18 can be characterized as nearly uniform a 1 in Fiqure with flow well-defined turbulent boundary layer at the case-wall. velocity profile shown for conf iaurat ion ized as a a The can be character- 2 irregular case-wall boundary layer, or very thick, alternately described as wholly distorted velocity profile a across more than half the compressor blade height. Since compressor investiga- the purpose of the overall tion is to examine the effects of tip gap on and performance flow field tip clearance gap size blade height, than the radial of distortions in which investigation. boundary layer must small compared This a range of very much always smaller make sense to introduce is not within the scope of Any variation in the case-wall be confined to the in the flow field which extend over much the span of the blading. the proposed is does not it the compressor characteristics, to a blade height which remains scale or the investigation becomes one of investigating inlet flow distortion. spire Thus, if necessary to order recover to elements use the the are to be used, original, sharply asymptotic outer cusped it is very spires in boundary layer profile Shane. 5 of A reduction in the spire heiqht inches, nay be necessary to achieve no more the natural boundary lavor thickness. to (^ or even than doublino CONCLUSIONS AND RECOMMENDATIONS VI. this study, In exoer imental ly two was intended, experinent a spires ^irst, approximated the present circular pipe, with turbulence levels control to the present arranqement was based, slender cusped the the in The present the in on which are thought shape of the present case thicker profile which could be nachined with Second, factor of a large rectangular wind tunnels, in understood. spires was between results obtained usinq and results boundary layers the design of nhile an increase factor close to four was measured. differences quantitative and shown the case-wall the thickness of and disolacenent thicknesses by the overall to be spires was designed of increase layer at the connressor inlet. boundary in rim a to by a blunt, straight cuts. installation of the spires was within much laraer area blockage and higher a present in than were wind the a tunnel anpl icat ion It was found installed in the element in order that the ring-element of throttle upstream to reduce of at oscillations spires least in the must be one screen flow and vibrations in the compressor to acceptable levels. The following recommendations are made achieve the intended boundary layer control: 50 in order to 1. The orioinallv specified neomet rica 1 spire elenents should he nachined, for reasons of exoense. should be reduced to 2. The inlet "^ or oipe iunctions The 5 shane of without conpromise heiqht of the spire inches. should he snoothed and all flanged connections should he tiqhtlv sealed. 51 the REFERENCES Evaluation of the PerforT^ance and Flow i-Jaddell, J. L. S Thesis, Naval Postgraduate in an Axial Coripressor School, Monterey, California, October 1932. , ^ ""I . . Pressure Distribution The in a Tobiason, E. A., Naval M.S. Thesis, Postgraduate School, Bel l^outh Monterey, California, June 1973. , AT-i.erican Institute of Aeronautics and Astronautics, Turbine and Rocket ^eroth.ernodynanics of Gas Inc., Propulsion Gates, G. C, Editor, 1984. , Design of Staff of Lewis Research Center, Aerodyna^iic Axial-Flow Co^^nressors NASA SP-36, reproduced by National Technical Information Service, Washington, D.C., 1965. , Vavra, M. H., Aerothermodynanics machines Uiley, New York, 1974. Flow and in Turbo- , Zucker, R. D., Aeronautics, California. Aerodynamic Analysis Department of Naval Postgraduate School, Monterey, , Standen, N., M., A Spire Array for Engineering Thick Turbulent Shear Layers for Natural wjnd Simulation in tJind Tunnels Ottawa, Canada, 1972. , TPL Technical Note 82-01, Waddell, J. L., Multistage Compressor - Flow Losses in Throttle Screens and ^lates, Feburary 1982. Zucker, R. Publishers, D. , Inc., Schlichting, H., Inc., 1979. Fundamental of Gas Dynamics, Matrix 1977 Poundary-Layer Theory , M.cGraw-Hill BI3LrOGRAPHY ^. I A ,\ Fduca t ion Con'^onep ts , Series, Aerot'iernodvnanics of Aircraft. Fnnine (jorrion C. ^ Cat-^-, "^ i :^ r , l-jr, 3 .-^/-inos u"^ on r'lov/ Research on '^laiin':], c'-.e "^low Research on Bla>iim Brown, '^overi Co"^^a^y Limited, Baden, Switzerland, 1969. 'rnc^-^i,- : i -v :.M •>»: L , Sc 'J. H. and La^ S. ^., Principles of ^luid "'echanics \ddison l/esley Publishing Conoany, 1964 Li, , Goldstein, p. J., Fluid 'Mechanics Measurements Pub 11 shim Cor nor at ion, 1933. , , Hemisphere Moyle, I., Progress Report - Multistage Axial Conoressor Progran on Tip Clearance Effects \PS Contractor Reoort (MPS67-31-01CR) "'ay 1979 - August 1981. , , Dearock Peviev^ , , R.E., Blaie Tin Gap Effects in Turbo^ach i nes Final Report No MPS67-8 1-0 16 October 198U. \'PS \ , McKligot, Cant. D.M., Uniform inlet Conditions for the MPS Subsonic Cascade Wind Tunnel Project Report, NPS No. NPS67-31-019PR, January 1981. , I. and Zebner, H., Multistage Compressor Installation of Cast-Enoxy Blades TPL Technical rJote 80-05, October 1980. Moyle, , Mcyle, I. \'., Multistage Compressor - Initial Measurement One Stage of Symmetrical Blading TPL Technical Note 80-09, October 1980. ;;ith , Neuhoff, F., Calibration and Application of a Combination Temperature-Pneumatic Probe for Velocity and Rotor Loss Distribution '^leasurements in a Compressor NPS Contractor Report No: NPS-67-81-03CR, December 1981. , 53 IMITI/\L DISTRIBUTION LIST No. of Copies Defense Technical Information Center Caneron Station Alexandria, Virginia 22304-6145 2 Super inten jent Library, Code 0142 Attn: Naval Postgraduate School Monterey, California 93943-5000 2 Chair-^an 1 Department of Aeronautics and Astronautics, Code 67 Naval Postgraduate School Monterey, California 93943-5000 Professor R. P. Shreeve, Thesis Advisor Director, Turbooropuls ion Laboratory, Code 67Sf Department of Aeronautics and Astronautics r]aval Postgraduate School Monterey, California 93943-5000 4 Naval Air Systems Command (Attn: AIR 931E) Washington, D.C. 20361 1 Naval Air Propulsion Center (Attn: Vernon Lubosky) P.O. Box 7176 Trenton, New Jersey 08628 1 Professor G. J. Walker Department of Civil and Mechanical Engineering University of Tasmania GPO Box 252C Hobart, Tasmania 7001 Austral ia 1 Dirpers, Mabes TNI-AU 1 Jl Gatot Subroto 72 Jakarta, INDONESIA Dirdik, flabes TNI-AU Jl Gatot Subroto 72 Jakarta, INDONESIA Komandan Koharmatau Lanuma Husein Sastanegara Bandung, INDONESIA . 1 2 INITIAL DISTRIBUTION LIST (CONTINUED) No. 11. Perpustakaan PT Dirgantara Lanuma Husein Sastaneqara Banduna, INDONESIA 12. Muliukur Tarigan Komplek Kartanegara D-5 Singosari-Malang INDONESIA 13. Director S. M. A. Negeri Kaban jahe Sumatera Utara INDONESIA 14. of Copies . 1 4 1 Wing Pesbang 30 Lanunia Abd Saleh 1 . Malang INDONESIA 15. Perpustakaan Lanuma Abd. Saleh Malang INDONESIA 16. Wing Pesbang 10 Lanuna Husein Sastraneqara Bandung INDONESIA 17. Perpustakaan I.T.B. Bandung INDONESIA 18. Perpustkaan Universitas U.S.U. Medan, Sumatera Utara INDONESIA 1 19. Perpustakaan Universitas Dirgantara Lanuma Halim P. Jakarta INDONESIA 1 20. Marie Hashimoto Department of Aeronautics and Astronautics, Code 67 Naval Postgraduate School Monterey, California 93943-5000 1 1 1 1 55 jThesis T13835 c.l Thesis T13835 c.l Tarigan ww^^m Development of a boundary layer control device for tip clearence explrj! -ents in an axial coT pressor. Tarigan Development of a boundary layer control device for tip clearence experiments in an axial compressor.