smu up 1l/1 turbule. (u) united technoilogies research
TRANSCRIPT
m _ksirl t SMU up u~m= LAYER 1l/1IN HIGHLY TURBULE. (U) UNITED TECHNOILOGIES RESEARCHCENTER EAST HARTFORD CT M F BLAIR MAR 61
UCLSSIFIED UTRC/RS i48-18 FOSR- OSRTR4 9 1 F/ 20/4NL
fREPORT DOCUMENTATION PAGE ;;; Md 7U08W~um 1W "a apv ofd Wfrwo % rw""S t ~w*, 8q ~owmm" wta"~ ww! up"h for QIIa Wwud dm ei 0r @aw itu& 1oWKu
1. AGENCY USE OguLi (Lave binWJ 2. RE PORT DATE 3. REPORT TYPE AND DATES COVEREDIM arch 1981 Final (6/1 79-3/31/81
A. TITL AND SUTTL 5. FUNDNG NUEIBRS
AN E\'?FRTM!ENTAL AND ANALYTICAL STUDY OF 3OUNDARY LAYERSIN :ilC!!', TU:RBULENT FREESTREAMS
L AUTHOA(S 102
3lair 2307/ A4
7. PE&FOMIG OR1GANZAT1ON NAME(S) AND AOORESS(ES) S. PERFORMIXG ORGANIZATIONLi Led vec me LOU1, RearhCnr REPORT NUMBER
Silve-r LaneC-ast irfrConnictlcut 06108 APF
9. SPOD4SOAING/MONITORING AGENCY NAME(S) ANID AOORESS4ES) 10. SPIONSORING/MOIITOR04GA AGENCY REPORT NUMBER
I. SUPPULMENTAAY NOTES
S 12a. OIS45T3311N I AVAILASLZT STATEMENT 121L O(STRIBUTIONd CODE
13. ABSTRACT (Ma~xmum 200 wcW)
:'mPrLais c.ntract research was conducted to examine two aspects of boundarv laverfe:()tho in fluence ofE free-s tream turbu;lence on zelro pre'ssare grad ien t, fELl
ciboundary laver flow, and topic (2) the combined effects of free-stream
trxiuVic' and favorable streamwise pressure gradients on transitional boundarvlav-r low. For topic (1) experimental convective heat transfer coefficients and
hoa hamlaymr mean velocity and temperature profile.
SUBJECT~,s~ TEM IS UME.F.AE
16. PRICE CODE
17' SECURITY CLASSIFICATION 1S. SECURITY CLASSIFICATION IS. SECURITY CLASSIFICATION 20. UMITATION OF ABSTRACT
NSN 740-0-2505500Standard Form 298 (890 104 Draft)WlU b w NI i i i
UNITED TECHNOLOGIES UNTE
RESEARCH CENTER urTEC
East Hartford, Connecdcut 06108
An 7x:erimenal and Analvtical
Study of Boundary Layers in tlih1v
Turbulent Freestreams
7inal Tec*ical Report
Contract No. F.9620-78-C-0064
PrcjecL-Iask 2307,A461102 F
REPORTEDB Y _
M. J. Weri -
APPROVED BY .B . . O!lion
DATE 1h 1981
NO. OF PAGES COPY NO.
Th is rep or: was "t rec r o ne Air Forc, Cf ice of Sc:ient i f c 14tese arch,S::EOS FOrce: Zte' ~ td ehoois oprto Research- Center,
~ ~r:§rd ~ __ __ erCinract Fi92-8C06,Project Task No.392 A4'lC FI ie t:,r:crcn-e period coverec 'Dv nis r-ec:ort was froz 1 7une 1,978
:-Dcc- mcitors were Col. Robert C. Smith (Ret.)D.D. &.SnrsacDr. JnsD isn
The experi-=nzal pcrtio:-,s of tho investication were conducted in the UTRCocunarvLayer Tai unnrel. This facility was constructed during 1977 and underwent
a series of f-low cualit-.; evaluation tests during 1978. The UTRC Un-iform Heat FluxFlt I odc&' -.,;as also czonstructed, instrumented, and tested during 1978. Fina Lly,
a :j=-,uter corntroiled dat-a auitinsystem *0,- the UTRC 3oundary Lover Wind TunnelWas- dusioZned, constructed and made operational d-;ring 1978. The construction and
eva~utcon esLtonz of th"e Boundary Laver Wind Tuninel, L'nif=r Heat Flu*. Flat WallMo Cu, nd DaaAccuis i :_3"S'- syse7 were con"cucted under UTC Coroorate sDonsors*-iD.
Cintract :cefferrors "nave 'Deen devoted to the measurement anid analysis oftnenea trns~r cstrcu:ons cunaa' loer :orofil!e and t.urbulence data "'iscusse'
4n recort
.rE -erimental and Anl:ia td fBound-ar.y
-,srs In 1-i2ilv Turouuint Free-treams
S T..T), T N OF WAORK
Tex':rator3:~II furn ish bc ienlt I :ic e f or:, t-11 ih l rul a!reservLcet._-iSe supplie;s ond mdaLur~a!S, neece- to ~ :e:wnresedrc...
a. 7or fully turbulent bouno ary laver flow, convective heat transfer cc-
-fiints, boundary lve r mean veloc ity and temperature D ro::.s, w.allstatic 7ressure distributions, and free-stream turbulence rtntv
spectral, and longitudinal integral scale distributions shall bemeasured using the Contractor's instrumented flat w.all inst a 7.d in thle
-Conzract-2r' s Boundary Layer "Sind Tunnel. These data shall be cbtainedvtna fre-stream turbulence intensity level below 1 pDercent for two
:cnz tant t-ree-stream velocti-_es and for three free-stream tur0-zetnceevS :r..ater tnan 1 percent for one constant tree-stream e:_ t
(a toc or D rfive fl1.ow condit.1ions) . From these data tbe integral2ry~ tes(-nomentu.m, dicplacement, and enthalpy thickr'ness) Of the
nouncary lavers will be calculated, and where applIcable, t-he profilewi1 e reouced to the "universal" coordinates for ub>
counarvlavers.
t. m ne~urc1heat t.ransfer --ist:ribut ions and: turbule=nt bonaylaver- rcfl - ata oba4-, ider paarp a aoeshall be _=arc to7re_ _izti;ns of the UT'RC Finit:e-Dif ferenct: Boundarv Laver dtc'-. 111e
:ree-strean turaucence energ' entroinmcnt tc rcdr
:ur~t r~r,.edcntn TL d c:v Vuato sn thOe
C. * -r tnsicalboundary layer flow, convective heat transfer Cc-efft :-ent-, boundar-. lover mean velocity and temperature profiles, wa-'static prssure distributions, and fcree--stream turbulence intcnsity,spectral, aid longitudinal integral i l distributions sihall bemeas6ured using the Con tractor' s lnstromn:ted flat wall installed inthrn Contractor's Boundary Lover Wind Tunnel. Thtese data shall be oi-Lained for two free-strelam acceleration levels with two free-stream
turbulen-te levuls each for a total of 'our flow conditions. From :k
data, th: Jinteoral properties (MC-cnnlur, displacement, and enthalpythicknes-) (,f theiL boundary laver, -- l1 he calculated, and, whecreapplicable, ';t:c prk'filt_ data ii rc~lucv_ to tilt-!vr5
o uurdiJnatus 1 -or turbulent bounol aerr,
R8!-91N388-IS
d. The measured heat transfer distributions and transitional boundary
layer profilc data obtained under paragraph c above shall be compared
to prodictions of the UTRC Finite-Difference Boundary Layer deck.
The method employed in the UTRC deck to comput2 transitional boundary
layers flows will be evaluated using these comparisons.
>r,:ro.ed for - oulari4nz h-eat transfer coeffi4Cient distributions on
ga~ urcneac ~ .- e '-een suh byenzine n~anur actrers for thIe entire histo-ry
ozr , e- t>r r. .st::r rutlions -u-st be -~o.~ otat coolings~e ~ c I r, t o cr,- uce; the rcu ir e pet I_ tnrare. Accurate heat
tranS r r nSrc C in s .--- na t ure o f c as tubie esiz-n cecause of thnenec to ?er:cr-ance t7orouzco 27iil use of cooling, air and the need to
-co _ tc'n rovision Of adecuare air: .oil cooling on the
in ce_ - c o' an airfcil codling scneme the lack of any required 'neat trans-
fr Uis t inforc71707aion 7 a' be co:77ersat.ed f'or dvsimply' overcooling the tomn-
0ancoe iS 0,-erCoojin; may v l exist since gas turbrine thermal design sysstemsare tvial;not basedf on fundom=entai mlidrechanics and heat transfer data anda nal s lo Ehut rath-er are c-alinbrated, or adj4usted , to rrc'.-ide agreement wit h
e n z ne Cxrec. 7 mo to-e 7CI e oc;-cous c enera ts :-.at reui co7 el im 4oatcon cor
_7 a _ 7 C1 2 e S i.e., increasec -power) anz oeril re_ uced ccst forte---irfi ooing1 sch eme Fur :eore, w ithout a E.ore Co0-
riete~',, uinderstardi.n- there -s to -lno ht cs~gn-er wil
Z:: mow~ce rangec of ;,aid-4*tv. of tIi e A --sizn sy.stem calibration. -nereis, ther 27 eent f or the develocmeni o'24 r foi h1*.eat transfer distri-
.2u t fn ure 7 -Cn ICo are .cased Onr,~ -- ~a fluid -ec-nanics anco .eat
trancrir:_=! ... !a -zsl c on th-e ~e~~eto: accurate councar'
Ia'.*TrZa~:lt7 ~-n~ over the cast f-ew, %ears reletste recoconic:ion or
rosn caue
r t- c. n: a laver t ran Ition Reyno lds numb)er ith
I r ZiZr 21 t 'L hulen: I well docu:7 zotcd in tne open litercrre;r ero - Do t' c acu rar' reccrec wet at least cnu
- ~ ~ ' 7crc c"t l~neo tne frev-
;-,a- r C e on nound ar's -c' o ' is lss Certain.
n 'j" u t n oc e'ta t Et ~rt. uc.-ra-ubuec levelOm 'a u 11 o o ('n :Isar nraC a-c rUpcOr t ed conf7lic-t-
n- -- 1 s On, -'- za nnw an1 'ic s r f th ree-77 L; ulenCf On t'A tr-: tr u ta secc<, raaL.n -iie
L ,1 -1:1 1 - z rv t 7-. u: ret a orn T trce-
ctin Zc n S RZt nti retort Ied v er v larc a rid7,. no r tan t n:u en c fes Thecurrent contract was iocce n order to clarif: thesce cor.tradictiocns. Bothwall "--eat transfer a nd doaldbudr:laver roiedata were obt-ained, for fullvturbul;ent b oundar-: lavers for a rance- o' ftees tream turbulence 1el to provide
caawc' 4~:::cie' ndicate thec infl7uence thiat freestrea- tur .ruience level-as on ful uflt ona' a,-eb" he at ra n sez2r. In adiiotese experi-
,E-nt ca --ez to I-LuaE th e turcuc,,:e..ce enjtrainmen: nocels currentlv-tc Croncary avr calcuaIation tcnc
cussed , the ffcsof7 free strean turoulence or, t*- zero Dres-su re 7c-a-- -nt 11r\- "ae trn-cn enls -cuc-er arc, well u~nderstocod. -he
Of t- ;7esreom ubuec on th.e transiccion process bezorres cons i_4erab-lvletss w-- 'ef-, *=o:ever, ror cases in which the boundarv layer is also exposedto a -ressze -'' c The net result of the coc-ca-nec influence of turbu-,lence
and priue ~ s cncntupon tcne sionTr of the preSsure grad-ient andth e r-l -. eo n w :r- s For adverse pressure grad I ents both the
tu rc-U nc E an :-EcEcE eratIcon r c-o t E t' e tr ansn 4 t 0. rocess and in this case thene t t2ut as tCILLscccon. F'or :a-.'ra*_lE zcressu,,re craccent:s,
c~w-er acnatst taiie h o4na' layer and t-ends torounce. :cce :e C S - tuuene This itrlyof tressure
E!a~e rSut easLr4 - tw,,o e::ects on *ne tranz'Can. proce-c.t 7 c f te on se2t o t ra n :1c 0 as i :-.fu'le nc an .2) th l-tn
_:_2rI~ 1? 'aralver flow rezion nay be altered sizor" -
c ac ti ee' tice, n cn1.. :e,. linited e-:n-Ericental data dccucentin- th-esee a r a L' I et. .7o-Eco=_,I ocate cccl 7at ter , 7UCn- Or tac-I current1ly
ccncacccr cc. :n cccc-o sibleto assessz the relac',:e cua_!*of cjp :r :alCu ' cIqn tehnccsfr these flows. For these reasons, a spart- c: -- ~ contract_ ,:x all nea ans: cc and detaile c %-ecocity anc-
-Z-~ec level1S. Thes., c c ere utli.L -
o' a- d--- T---U1
t -2 Ir o r a7 r 4 d es w al heat tcax-e r and ce-tailed -an1-7 d e'. e'looC-,n 7 ita ta r e u ir e to0 dt -. sc L, the- influenrCE Of
- ~ ~ ' r2- - ee o o: ul turb-ulent -L - -ea~n t r a ns cn.al
* at re ;und acental i n na t u r .1cn me em-cloveed 'U' b-othn _- c-.-or int~ir field of boundary lax-er 1"ut*at ion. for evaluation of
1'.C"ca 7 :s. in acc'diton, trie contract e'-e~~' - rov-c a valuable bodv
de--e- atcan "rano c-ouncar,. laver profile Lz: irectly rtel'vant to the1'- :cet it ransfur d ie tr 'ihut ions on ua- x:ce airfoils. Finally,
.on(- e a-ove, I, inforc-atioan Could resualt 4ir. coeaccurate blad. h-.,at transferit i o TT pr c - i n ttcca,:-_Qu.'e- L;ce thereK:'. th't 7-crc ffily ust. of <ade
ClIn
7> :-ontract e r:con-:zitcd of tne acc~na~nand ana1':-sis of experimentalr~t -,L 0,; -oadary !,ave r inr jic and - '-cat. -ran s ;-r dat a to -: eter7,ine tne inflIuenc e
0r zees~rcam toblec n t-ransitional and full:, turbulent b-oundarv Ia-.er flows.0 r l turu.ent, zerc pressu rc graa4;ent b-ound4ary layer flows th,,e following data
___eA r aran-~o: re~tre~ trblence intensities: conivective heat
r e r C f n S , n ar'; 1 ae r e an v elIo c I d tn ce pe r a t ure p rc fil1e s; t esta--:r~3csr~ucn and reccr turbulnce intenz:.ty, spectral
-i'' cl' stucns. -- ese samE m-eaSure7 -!rtc vere obtai nedo :rc-:ca~onsoffavrali~ esur cad'ients and fre~e -ra: turbu,.lence
a r -V layer flow:s. From these data the 'ntec-ral prot'r-
_Sst o, n:a-Ia.ers were calculated and, wreapplicab-le, the profile- .. ''~sal"coordinates for turbulent bound arv lavers U
nhe 7c;:i',cc heat trans'erd i1stribut ions and boundar la,.-e r
rCt r c d to prea-'cc:-,s of the UTR- iieDfeecar%, - C' r~on s w er e e- lo e d t o evaluat e te c o n-u tt con
1e72,E n t.c TRC deck.
L'nder thi: t, resarcli was conducted to exanmine two :si)Ccts
or rDounddry lay _- tonic_ (1) the influence of free-stream turbulence onzero rressure 'raif ull- turbulent bDoundarv layer flow; anid topic (2) the
comninec e7:e:ts o: t'ree-stream t-urb-ulence an-'avral strEaamwise pressure
gradient on r1ns'iional bound'ary layer flow.
F.or toic1) exnerimentLal co-nv:ective heat transfer coefficients, boundarylayer m.ean velo cit1y and temperature profile data and wall static :Dressu,.re dlis-tribution data were obtained for five flow conditions of constant fre=-streamvelocit an re-tream turbulence intensities ranging from appra::imatelv ,..to 7,, .7eStream mult-i-component turbulence intensity, longituco.4nal intej;ralscale, ni~ spe :ra i s istributions were obtained for the various Lurnulence leveis.These dat fulill task "a" of the State-ment of Work . I n additdon, Jnfiflmnof task "b of t-he S-tdteiaent of Work, comroarisons were m-ade between the data Of
tas " 'edlctio of the UTRC F'inite-Difference Boundary Laver D eck. AtecnnJaa reror t ~ )"LTRC R80-91-4388-12, The Influ-ence of ree S-ream
- eco n c Presur Grd~et -ll Turbulent Eeurnda \ was pre-Par,_ i~z:: 7 taz. a o: the work conducted for topic (1) Re-rence IC ontc:,a i ,S 3 1_ (I) a complete description of the newly :ons::-cted c:turnel ,,;C:;rZ~t ere coDnducted as well as ceta_ _ of a seriesof flow evuaat- 1 Jon tests of tne facility, (2) details oft he ondrlayer an.' tur: ra acquisition and analysis techrniques empice (3 mltcomoonEnt res_'- turbule-nce fiensitv di Stdibut ions and !onrC 4 udiaal ntecrai
frionccffo~~ts.-unc arv aver -,rofile aditrlpoety data (a=mentum,
dis lace::nt a nd r thIlox th ic'Knesss) Sfor all flow condIt ions , ( 5) an ana ly sis orI,heat d (K :mpar racrs or, tnuc -resent exper4mental resuls
~atp-c oeLTC ,in :t- r en ce E cu: i ry La':er Code. in addito,a ca co -~-l cnj t -,~'~~-ol . T - \,v I nc:
L ay ers zo.o tc: r, 1 ;t-:o drorfI ic aLa for topic (1) wasasse7. Dec. _umrou ca -. ILzks aria measurem-ents to insure ddta :onlsiS-
tent_% were onare cr r: of this experiment. In addition, for appli-caoLe castes, compsrisorns wer -2etcween data obtaired in the present pro '2r a r anidt -Le re sults of '1t,2r .worrc 'K t- 4S in-de pth e:xamrnatron or the present data indicatedthat th:wr! cte:.o..' ~itv anda :ree 0ofnmlis
Analcsi orte sLa i.: ares that the heat transfer, Skin friction, velocityanda Letr ure neon[- _IC:r , free-strearm turbulence data form a sel f-consistent
e t ojf I' r-rrat in. he : lsin ocuo. ion- wecre reachked 'ront the work conductedfor tpc(1). Tht_-s conk_.lu,;ions indicate that for gas t.urb-ine applIications,
WI~ r ru-tr~w r looclevelIs can be er::lhihthe in: luencoL of theLurzoe§ :riiLet rnsfr could 1t significant.
For 7ot rc o. f :ra-Jient , turbulent boun'mjr- laver flow, th, 'skin- ! rictionmon wmr. icrasiip r -rear:. taru rct level. As an examnit0 ,
(Re&c98 2 5c
-~. L* U . -7 .7 r..
cti~~~e aca tr otr J
~ 'L I J -V uta an r
2 c r u eit s u t-s w c e t t7, r:r'
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rrL
'L tz L U I
SYME4C KEY
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lucfc kl r Free-S:rea 7 TUr:Pt'i :Tstks Bet 3r .. > he ke'vnki d . An~ilor, F.:ctor
VC- -~~ RESA- S -
02
CD MEIER &KREPLIN%
C)C
0 2 4 6 8 10
T= 1/3 (u 2 + V 2 + W 2 ) U e x 100
0.21111
z
0 2 4 6 8 10
T= l13(U72 2 + W 2 ) Ue x 1O
F~ 1r ?. E Ii uence of Free-Strearr Turhul'nc- tc
and Re on Sk in Fr ic t ion cnnd Heat Trans,. r
020 40 60 80
I I I I
4LA
F~ue3: Ace~~nand Hleat Transfer Distributions for ee1
ii. Frece-Streair Turlbulence Levels
04
0
40 40 60
..............GE X in he
Figure~~~~~~~~ 4: Ac10ai n -etTrnfrDsriuin o
3 n reSra~ ublneLvl
3cIz 0 / . A0 0£
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10 100 0
Dev'oeriot of the Mean Velocity Profiles Along the Test Wall-or K: 0.20 x 10-6 And Grid 2 - Universal Turbulent Coordinates
RS1-914388-18
References
1. Blair, M. F. and N. J. Werle: The Influence of Freestream Turbulence on the
Zero Pressure Graident Fully Turbulent Boundary Laver. UTRC Report R80-914-
38S-12, Sept. 1980.
2. Blair, M. F.: Final Data Report - Vol. I - Velocity and Temperature Prcfile
Data for Zero Pressure Gradient, Fully Tubulent Boundary Layers, UTRC
Report R8!-914388-!5, Jan. 1981.
3. Javatilleke, C. L. V.: The Influence of Prandtl Number and Surface Roughnesson the Resistance of the Laminar Sublaver to Momentum and Heat Transfer,Progress in Heat and Mass Transfer, Vol. 1, Pergamon Press Ltd., London 1969.
4. Spaulding, D. B.: Contribution to the Theory of Heat Transfer Across aTurbulent Boundary Layer, Int. J. Heat and Mass Transfer, Vol. 7, 1964.
5. Simonich, J. C. and P. Bradshaw: Effect of Free-Stream Turbulence on HeatTransfer through a Turbulent Boundary Layer. ASME Journal of Heat Transfer,Vol. -00, No. 4, November 1978.
6. Chi, S. W.: Friction and Heat Transfer in a Compressible Turbulent Boundary
Laver Dn a Smooth Flat Plate, Ph.D. Thesis, Imperial College, University ofLondon, 1965.
7. Huffman, C. D., D. R. Zimerman, and W. A. Bennet: The Effect of Free-StreamTurbulence Level in Turbulent Boundary Layer Behavior. AG'RD AG164, pp. 91-
115, 1972.
8. Charnav, G., C. Compte-Beilot, and J. Mathiew: Develupment of a Turbulent
Boundar: Laver on a Flat Plate ii, an External Turbulent Flow, AGARD, CP 93,
Fa-ner NO. 2-, -(7.
9. Meier, H. %. and xr piin, H. P.: Influence of Freestream Turbulence onBoundary Layer Drv eIopment. AI., Journal, Vol. 18, No. 1, January 1980.
10. Bradshaw, P.: Effcct of Free-Stream Turbulence on Turbulent Shear Layers.
ARC, Paper 356,8, 1974.
11. Blair, M. F. and N. J. Werle: Combined Influence of Free-Stream Turbulenceand Favorable Pressure Gradients on Boundary Laver Transition and Heat TranL::r.
UT.C Report R81-91i388-17, March 1981.
12. Blair, M. F.: Final Data Report-Vol. 11- '!Joitv and Temperature Profile Data
for Accelerating, Transitional Boundd ry vrs, UTRC Report R81-1I438b-16, Jan.
198i.
R81-914388-18
LIST OF WRITTEN PUBLICATIONS
The following papers are currently being prepared for submission to conferenccs
and journals. Copies of thes papers will be sent to AFOSR simultaneously with
their submission for publication. Likely titles, authors and journals are as
follows:
1. Title - Development of a Large-Scale Wind Tunnel for thc Simlation of
Turbomachinerv Airfoil Boundary Layers.
Authors - Blair, M. F., Bailey, D. A. and Schlinker, R. H.
Journal - Presented at 1981 ASME GAS TURBINE CONFERENCE, Houston,
Texas, March 1981. Accepted for publication in ASME Journalof Engineering for Power
Note - Most of the work reported in this paper was funded by United
Technologies Corporation. Some data from task "a" of the Statement
of Work of the present contract were used to demonstrate the tunnel
performance.
2. Title - Tne Influence of Free-Stream Turbulence on Skin Friction and Heat
Transfer for a Turbulent Boundary Layer
Author - Blair, M. F.
Journal - ASf Journal of Heat Transfer
3. Title - Combined Influence of Free-Stream Turbulence and Favorable StreamwisePressure Gradients on Boundary Layer Transition
Author - Blair, M. F.
Journal - ASME Journal of Heat Transfer
LIST OF PROFESSIONAL PERSONNEL AS> .iATEDWITH THE RESEARCH EFFORT
Blair, Michael F. - Senior Research Engineer, Gas Turnlne Technology Group,
Gab Dynamics Section- r"rincipal Investigator and Project Manager
1 t,
RS1-9l1 3dS-18
Drinp, Roert P. - Supervisor, Gas Turbine Technology Group,Gas Dynamics Section
Werie, Michael, J. - Section Chief, Gas Dynamics Section
INTERACTIONS
a. Soor.Pers
I. itle - Influence of Free-Stream Turbulence on Turbulent Boundary
Layer Heat Transfer
Sea'Ker - Blair, M. F.
Forum - Lehigh University - Mechanical Engineering and
Mechanics Seminar
Date - March 27, 1981
b. ConsuItive and Advisory functions - Discussions have been held with Professor
David Walker of Lehigh University concerning the use of a turbulent boundary
layer' ressure gradient data analysis developed by him. Professor Walker's
data analysis system was developed under AFOSR funding.
c. Communications with Professor Peter Bradshaw of Imperial College, London,
Enland rezarding the'subject material of this contract have proved to be
extreme!. useful. Professor Bradshaw has requested that he be kept informed
of prooress of our investigation and has provided a number of helpful
su4 estions concerning the interpretation of our data. A number of papers
by .I::sel anc theses by his graduate students have proved particularly
usie.U. Professor Brads;a'<:'u expertise in this area is widely recognized.
Eie ii orce as data ev .- ator of the Group i1-3 Flow Cases - "Effect of
Fre -Stream Turbulence o:. ;-._undary Layers" for the 1980-81 AFOSR-HTTNI-
Stanf'rd Conference on i:.- ex Turbulent Flows: Comparison of Computation
and Experiment.
LII ', ~NEW DISCOVERIES OF PATENTS
NL specific new discovcries or patents have resulted from any work conducted
under this contract.
i7
Revort No. R8i-914388-18
:NIT:AL7 -DSTR~r.T ON
Cov No. Tocat~on cvSOA.c?
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