Boundary Lyer Theory

More documents

Recommendations

Info

646 XVII. Origin of turbulence TI Frrnkiel, 1'. N., lanrlnl~l, Al. 'r., rind I,~~mlny, I,.: St.rnct,nrc of t,url)ulrnrr an0 c11-;1g r~duc.tion. ILJ'l'Ahl S~IIIII.. Wnsl~ingtm, I). C.. 7 - 12 .JIIIIC 107fi. 'l'l~r I%ysirs of I~'l~~i(ls 20, No. 10, I'orl, 11. p. S I ~ - 2!)2, S l!)77; :ilw I$. A. '~'II~IIII in l'rnv. III~WII. ('o~~grrss ~ I I
M8 XVIT. Origin of t.nrhltlrncc II . . lag, Mninz, I00 - 1!)5, l!)W [!)I] Iliggins, IL.\Y., and Pnppnn, C.C.: An c.uprri~~~c~t;~l invcsLigalion of thr rfTrct. of snrftccc l~c~tine on lmrtntlnrv " Invrr . tr:rnsit.ion on n f1:ct plntc in snprrsonic flow. M;\(:rl 'l'N 2351 (l!)51):' [!I21 Ilols1,cin. (1.: hlnssnngen zur I,:~~ninarl~:~lt~tng tlor lZc:il~rt~~gsscl~irl~t,. I.ilict~t.hel-llrric.l~t S 10 17- 27 (1!)40). (931 tlrtnng, I,. hl., nnd ('hon, T.S.: Stnl~ility of tlrveloping pipe flow snbjrctrtl t,o no11-nxisynltnrtricnl rlistnrl)ancrn. .I lchl 8.1, 183 - I!):! (1!174), scr also 1'11yn. Iflnicls 17, 245- -247 (1!)74). 1!)4] Van Ingrn, J. I,.: A snggrst.cc1 swni-rntpirict~l ~nrthorl for the ralculntion of t,hc bonndery Inver transit.iot~ region. 'l'echn. Univ. Uo1). of :\eronnutics. I)elft,. Report V.T. H. 74 (1956). 19.51 Jnrk, .I. Jt., and IXaronis, N.S.: \':rriation of bonntlary-lngrr transition with heat tmnsfrr on Lwo bodies of revolntion at a Mach nntnhcr of 3.12. NACA TN 3562 (IDRR). [90] .Iacol~s, 13. N., ru~l Sl~crn~rcn, A\.: Airfoil nc:ction rl~~~r:rrLrriuLirs as rtnbctr.tl I'g vnri~ctionn of the ILeynoltlnnun~bcr. NACA TJt 5Mi (1!)37). [97] Jcffrcys, 11.: 'l'hc insLabilit.y of a Iagcr of flnid hentcd below. Phil. Mag. 2, 83:i-844 (1926); see also I'roc. Jtoy. Scc. A 118, 1!)5-208 (l!Y28). 1081 Jones, 13. hl. : I?light cxpcritncnL~ on tl~c bonndnry Inyer. \\Iriglrt Brctl~ers Lect.ure. JAS .5, 81- 102 (19:IIl); also Aircrnft 1':ng. 10, 135--141 (1938). 1991 Jones, 13. M., nnd Head, M. R.: Tho reduction of drag by distributed suction. Proc. Third Anglo-An~erican Aero. Conference, llrighton 109-2330 (1951). [I001 Jack, .J. It., and I)iaconis, N. S.: VarinLiott of bo~tntlery-layer t.ransition wit.h heat transfer on two hodics of rcvnl~~bion at a Marh nnrnlrcr of 3.12. NACA TN 3562 (1955). [I011 Jack, ,I. It., \Yisnic\vski, Jb. .I., and I)iaconis, N. S. : Effcctn of extrcn~c surface cooling on I)ortndnry Ingcr t.ransitiott. NACA TN 40!)4 (1!)57). [102] Jillir, l).Mr., ant1 Ilopkins, E.J.: 15fli~t.s of hfaclt-nnn~ber. Icading-edge blunt,ncss and swrep on honnctnr,y-layc:r transiLiotl nn rr. flat. plnto. NASA 'I'N 1)-1071 (1M1). [103] Jonrs. W. P., llnd I,nu~~tlcr. 13. I
Page 1 and 2:
McGRAW-I4ILL SERIES IN MECHANICAL E
Page 3 and 4:
vi Contents CIIAPTEII V. Exnct ~olu
Page 5:
Y Contents A " I XI X 'I'lirorrt.ir
Page 8 and 9:
xvi I'orcworcI Thc result was t.11~
Page 10 and 11:
From Author's Preface to the First
Page 12 and 13:
the aid of thorctical considcmtioti
Page 14 and 15:
even in fluitls wit,lt vcry srnall
Page 16 and 17:
10 I. Or~llinr of lluicl rnot,ion w
Page 18 and 19:
The vclwil y IL at some point i11 t
Page 20 and 21:
Fig. 1.6. Firld of flow of oil nho~
Page 22 and 23:
22 I. Outliric of fluid motion with
Page 24 and 25:
2 (i TI. O~~tlittr of Imun~lnry-lsy
Page 26 and 27:
Fie. 2.511 Fig. 2 .5~ Fig. 2.5b Fig
Page 28 and 29:
S - point orscpnrnt.ion T'ig. 2.12.
Page 30 and 31:
3 8 \ Y?\ If. 011tli11e of boundary
Page 32 and 33:
42 11. 011tli11e of Iw~~ntlnry-Inyr
Page 34 and 35:
[:j2a] I?o~cilhrntl, I,.: Thr forn~
Page 36 and 37:
50 111. l)crivnt,ion of thc cquntio
Page 38 and 39:
Fig. 3.3. Tmcd clintor1,ion of flui
Page 40 and 41:
of flltitl is strcsscd in thrcc nlu
Page 42 and 43:
1:i~ 3.8. Qltnsintzt.ia cotnprrssio
Page 44 and 45:
66 111. 1)wivntion of the eqnntions
Page 46 and 47:
CHAPTER I V General properties of t
Page 48 and 49:
74 TV. Gencrol proprtic~ of tho Nov
Page 50 and 51:
Ilcre v, c, :tntl k tlrnol,c 1.I1t:
Page 52 and 53:
conclil.ion (4.14) plays n part wl~
Page 54 and 55:
86 V. 1':xact solul ions of tlir N:
Page 56 and 57:
90 V. ICxnct sol~ttion~ of tho Nnvi
Page 58 and 59:
94 V. Exnct sohltiono ol' tho Nnvic
Page 60 and 61:
Table 5.1. Functions occrtrring in
Page 62 and 63:
11. Flow taenr n rotnting disk. A f
Page 64 and 65:
106 V. JCxact solutions of the Navi
Page 66 and 67:
cnu bo npplirtl nt mont, nn fnr RS
Page 68 and 69:
114 VI. Vcry slow motion where r2 =
Page 70 and 71:
1 I8 VT. Very slow motion r. 'l'l~o
Page 72 and 73:
122 VI. Very rrlow motion ext.endcd
Page 74 and 75:
126 VT. \'cry slow rnot.ion Part B.
Page 76 and 77:
130 VII. Boundnry-layor cquntionzl
Page 78 and 79:
'1. Skin friction \VlIat1 t.11~ I)o
Page 80 and 81:
138 VII. no~~ndnry-layer cqnntions
Page 82 and 83:
142 VII. Hor~nclnry-lnyrr rq~~ntii~
Page 84 and 85:
146 VII. I~o~~ntlnr~ Inyrr cq~~ntio
Page 86 and 87:
CIIAFTER VIII Gencral propertiee of
Page 88 and 89:
164 VIII. Ccnernl propertic8 of Lhe
Page 90 and 91:
158 VIII. General ppropcrtics of th
Page 92 and 93:
VIII. General propertien of the bou
Page 94 and 95:
'I'his c.quat,ion Lmnsforms into t1
Page 96 and 97:
170 TX. 1Sxact uolutions of t.ho st
Page 98 and 99:
174 TX. Exnct ~olut,ionu of tho sto
Page 100 and 101:
178 IX, Exact solutions of tlrc ste
Page 102 and 103:
and t,llc? clnsh now clet~otos tlil
Page 104 and 105:
1 86 10 0.8 0.6 0.4 0.2 0 -0.2 -0.4
Page 106 and 107:
ccnt,rred nt, (m -1- 1, n). 1'110 t
Page 108 and 109:
194 IX. Jqxnct eolutions of thc stc
Page 110 and 111:
O~l:cr ehnpw: Second-order cITcetls
Page 112 and 113:
202 X. Approximate rncl.hoda for st
Page 114 and 115:
206 X. Approxitnnte rnct.l~otls for
Page 116 and 117:
210 X. Approximate mcthod~ for shad
Page 118 and 119:
214 X. Approximato mothotls for sha
Page 120 and 121:
218 X. Approximntn met,hods for shn
Page 122 and 123:
222 X. Approximate methods for stea
Page 124 and 125:
220 XI. Axinlly symniobricnl nnd th
Page 126 and 127:
230 XI. Axinlly symmctricnl and thr
Page 128 and 129:
23.1- XI. Axially uynimet.rira1 nnc
Page 130 and 131:
the two wries expnnsicws for sin (%
Page 132 and 133:
242 XI. Axially nymmct.riral and tl
Page 134 and 135:
in cross-flow, tlrprntls only on lh
Page 136 and 137:
250 XI. Axinlly nyrnmet,rirnl nntl
Page 138 and 139:
XI. Axinlly ~,vn~n~et.rir;~l nnrl I
Page 140 and 141:
258 XI. AxhIly syn~rnrtrirnl nncl t
Page 142 and 143:
. . lit 1 h1:lgt.r. '1.: 'l'l~idc I
Page 144 and 145:
206 XIT. l'l~rr~nnl bo1111r11iry ln
Page 146 and 147:
270 XIT. 'I'l~rrtnal boundary layer
Page 148 and 149:
can I)r rct.ni~rrvl in inrotnl~rrss
Page 150 and 151:
if wc: pillf - - 'I1, - (A7'),. 11,
Page 152 and 153:
Rotntirig rli~k: (:II:I~I. V, in pn
Page 154 and 155:
286 X11. 'IY~rrrr~al bo~~ndnry laye
Page 156 and 157:
290 XlI. Tl~rrnmal boundary layers
Page 158 and 159:
with 0,' -. () at, r] - 0 and 0, =
Page 160 and 161:
2!)H XI[. Thcrn~al bor~nrlnry Inyrr
Page 162 and 163:
302 XJI. Therninl boundary layers i
Page 164 and 165:
306 XII. Tllcrrnal hor~ndary layers
Page 166 and 167:
310 XJI. 'I'hcrmnl boundnry layers
Page 168 and 169:
314 X11. Thermal boundary laycrs in
Page 170 and 171:
318 XIT. Tl~crnial bonndnry layers
Page 172 and 173:
322 XII. Tl~or~nnl I)onndnry lnyers
Page 174 and 175:
326 X l I. 'l'l~crn~nl hounrlnry ln
Page 176 and 177:
330 X[[1. lmninar bor~ndnry lnyers
Page 178 and 179:
334 XIIT. Lnrninnr 1)oundary laycra
Page 180 and 181:
338 XI I I. Im~linnr I>orirtclt~ry
Page 182 and 183:
342 XI11. Tmninnr Imlndary layeru i
Page 184 and 185:
346 XI 11. T,ntninar I~or~nrjary hy
Page 186 and 187:
350 XIII. 1,mninnr honnclxry lnycrn
Page 188 and 189:
354 XI 11. 1,nminnr h~nrlnry 1:ryrm
Page 190 and 191:
Fig.. l3.16. In 13.18. lain~innr ho
Page 192 and 193:
a Intninn.r l)out~rlary I:~.ycr, bu
Page 194 and 195:
1 I Itc vnriolts c4Twl.s ol'sl~oclt
Page 196 and 197:
370 XIIJ. I~tminar boundary layers
Page 198 and 199:
\'all I)rirst., 15.11..: 'l'hr prol
Page 200 and 201:
CIIAPTER XIV Boundary-layer control
Page 202 and 203:
5. J'rrvrntion of trauaitinn by the
Page 204 and 205:
frorii th; 1c;ulitig rxlge! (l3l:wi
Page 206 and 207:
390 XIV. Ilo~~n~lnry-lnycr contml F
Page 208 and 209:
. - v, (x) =cons/ Fig. 14.14. 1,ant
Page 210 and 211:
invc?st.igai.ctl. In this msc too,
Page 212 and 213:
402 XIV. Dounclery-layer control 1.
Page 214 and 215:
Ni\('A 'rM !I74 (1!)41). 1861 Sinli
Page 216 and 217:
110 XV. Non-~teldy bortndnry layers
Page 218 and 219:
414 XV. Non-st.cncly hour~tlnry Iny
Page 220 and 221:
418 XV. Non-slmrly l~orrnclnry Inyr
Page 222 and 223:
422 XV. Non-st,cndy hoixnd~ry Inycr
Page 224 and 225:
420 XV. Non-nl,mdy Fig. 15.58 Fig.
Page 226 and 227:
XV. Non-utcncly boouclary lnyers wh
Page 228 and 229:
434 XV. Non-stcxcly boundary layers
Page 230 and 231:
438 XV. Non-atcndy boundnry inyer~
Page 232 and 233:
442 XV. Norl-st,aady boundary Isycr
Page 234 and 235: 440 XV. Non-st,rndy ho~~nclnry laye
Page 236 and 237: 450 XVI. Origin of tnrhulence I pyi
Page 238 and 239: XVT. Origin of turbulcncc I n. Some
Page 240 and 241: 458 XVI. Origin of turbulence I b.
Page 242 and 243: 462 XVI. Origin of tnrb~rlmcc 1 num
Page 244 and 245: 466 XVi. Origin of t.r~rhr~lrncc 1
Page 246 and 247: 470 XVI. Origin of h~rlwlcnce T I R
Page 248 and 249: 474 XVI. Origin of l,t~rl~~tlct~rr
Page 250 and 251: 478 XVI. Origin of I.rtrb~tlmcr 1 t
Page 252 and 253: 482 XVT. Origin of tmbulcncc I c. E
Page 254 and 255: 486 XVI. Origin of k~rbulenre I 148
Page 256 and 257: 490 XVII. Origin ol t,urbulencc 11
Page 258 and 259: 404 XVII. Oriein of tnrbnlencc TI F
Page 260 and 261: 498 XVII. Origin of turbnlmco II t,
Page 262 and 263: Tlw tlisl.nr~cc Iwt,wccn the point,
Page 264 and 265: c. Efict of ~urtintl on trnt~nition
Page 266 and 267: 510 XVl I. Origin of Idmlrnro I I '
Page 268 and 269: 514 , XVII. Origin of turbulence 11
Page 270 and 271: 518 XVI I. Origin of turhr~lcncc 11
Page 272 and 273: on the bnsis of t.hc tl~corct,ical
Page 274 and 275: 626 XVII. Origin oI t.11r011lonco I
Page 276 and 277: 630 XVII. Origin ot t.~~rhr~lrncc J
Page 278 and 279: XVII. Origin of t.urh~~lencc TI 7 !
Page 280 and 281: 638 XVII. Origin of t~~~rbnlc~~rr I
Page 282 and 283: \vi(,l~ a (-ylit~(lw envcrv(1 wiI.1
Page 286 and 287: 550 X\'ll. Origin of t,11rh111rnrc
Page 288 and 289: 554 XVII. Origin of t,rlrbuloncc TI
Page 290 and 291: 558 XVITI. Fundamentals of tr~rbule
Page 292 and 293: 562 XVlI1. R~nclnmont.nIu of tur1)u
Page 294 and 295: The corrrlnt,ion co~ffiricnt~ y~ ra
Page 296 and 297: 670 XV111. I'nntlntnrt~t~nlrr of tt
Page 298 and 299: 574 XVIII. 1'undnnient.alu of tnrl~
Page 300 and 301: CHAPTER XIX Theoretical assumptions
Page 302 and 303: 682 XIX. Thcoroticnl wsltmptionu fo
Page 304 and 305: 586 XIX. Throretical aaotin~ptiona
Page 306 and 307: 5l)O XIX. Tl~rorrt,icnl nmumptions
Page 308 and 309: 594 XIX. 'rheoreticnl nssornptions
Page 310 and 311: 698 XX. 'I'~~rl~ulrnt flow f,lrro~~
Page 312 and 313: 602 XX. T~rrbulcnt flow thro~tgh pi
Page 314 and 315: 606 XX. 'l't~rhl~lc~rit flow thro~~
Page 316: GI0 XX. Turbulent flow throngh pip
Page 319 and 320: Icror~~ ()I(, phj.sic*:~l ~)oint. o
Page 321 and 322: 620 XX. Tnrbnlcnt flow tlvough pipe
Page 323 and 324: dimensions Fig. 20.26. 1tc.sist.anc
Page 325 and 326: 628 XX. T~lrbnlmt flow through pipe
Page 327 and 328: 632 XX. Turhulcnt flow through pipc
Page 329 and 330: 636 XXI. Td~nlcnt houndnry layers a
Page 331 and 332: 610 XXI. Ttrrbulent bor~ndnry layer
Page 333 and 334: 644 XXI. Turbulent boundary laycrs
Page 335 and 336:
048 XXI. Turbulent boundary layers
Page 337 and 338:
652 XXI. Turt)~~lcnt houndnry layer
Page 339 and 340:
656 XXI. Turbulent boundnry layers
Page 341 and 342:
660 XX I. Tl~rhlent bo~~ndary layer
Page 343 and 344:
664 XXI. Turbulent boundary layers
Page 345 and 346:
CHAPTER XXII The incompreesible tur
Page 347 and 348:
672 XXll. 'l'llc incon~prcssiblc tu
Page 349 and 350:
070 XXII. Tlic incompreaaibto lnrl)
Page 351 and 352:
FRO XXII. Tho incornprcs~iblo turbu
Page 353 and 354:
684 XXII. 'Yhc incon~prcssible Lnrb
Page 355 and 356:
688 XXJI. The incon~prcssible t,urb
Page 357 and 358:
002 XXI1. Tho inro~nprc~sil~lo tt~r
Page 359 and 360:
is prol)nt~t,iot~nl to the rnclius.
Page 361 and 362:
lf$8] Mucsm:tnn, 11.: Z~~snrntncnhn
Page 363 and 364:
70-t XX I1 I. 'Ihrbulcnt bonrwlnry
Page 365 and 366:
708 XXIII. Turbulent bonndnry Iaycr
Page 367 and 368:
712 XXI 11. 'I'~~rl~~~lemt bo~~ntln
Page 369 and 370:
716 XXIII. 'I'urbr~lcnt bor~ntlnry
Page 371 and 372:
720 XXIII. Turbulent boundary layer
Page 373 and 374:
724 XXlll. 'rur1)ulcnt boundnry Iny
Page 375 and 376:
[04] Smith, P.D.: An integral predi
Page 377 and 378:
732 XXIV. Frcc trtrbt~lent flows; j
Page 379 and 380:
700 XXIV. Prrc tr~rb~tlent flowa; j
Page 381 and 382:
Neglecting u12, we obtain XXIV. Prc
Page 383 and 384:
744 XXIV. lhc L~trl)ulcnt Ilow~; jo
Page 385 and 386:
748 XXIV. Free turbulent flowa; jet
Page 387 and 388:
762 XXIV. Frcc td)ulcnt flows; jcta
Page 389 and 390:
756 XXIV. Prrc torbulent flows; jet
Page 391 and 392:
760 XXV. DotcrminnLion of profilo d
Page 393 and 394:
764 XXV. I)ot.crtninntiotl of profi
Page 395 and 396:
768 XXV. Determination of profile d
Page 397 and 398:
XXV. 1)obrlninalion of proRlo drag
Page 399 and 400:
776 XXV. 1)ctormination of profile
Page 401 and 402:
A. Reviews organized in serial publ
Page 403 and 404:
784 Bibliography Sherman, I?. S., I
Page 405 and 406:
Clementa, lt.R., and Mad, D.J.: The
Page 407 and 408:
792 Bihliography 13ird, R.R., Slewn
Page 409 and 410:
Oswatitach, I
Page 411 and 412:
H:I:IR, 11. 776, 777 Ilnnsr. 1). 62
Page 413 and 414:
Scl~crb:trl,l~, I
Page 415 and 416:
805 811bjrct lntlrx 209, 354, 385,
Page 417 and 418:
812 Snhjcct lntlcx - vorl.irrs 526,
Page 419:
List of most commonly used synibola
show all

Boundary Lyer Theory

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?