Boundary Lyer Theory

444 XV. Non-st,mdy I~oundnry Inyora
Urn2
r] = --
22 voo
tit,finrs a II~\V, tlirnt~nsiot~lrss coordinntc, ant1 the following al)brcviatfior~s have been
mi ployrd :
r 7
I hr lwct:c(ling fortns arc snl~stit~~tntl into the difkrcntial cqrtations for the bountlary
Inycr ;~ntl it, is li~ttrd that, thc futlctiotis F(q), /O(tj) , . . . satisfy ordinary diITcrentia1
ctlttnt.ions. Solrrtions for thcm wlron P .-. 0.72 11avc been given in refs. [35, 491.
'I'lre functiorts F(,,), O,,(T]) ant1 A'(71) arc idrntical with the solutior~s for the steady
prol~lt-1x1 witlr CI,., in(.rrprc:t,cxl as the insl.ar~tanoor~s vrlocil,y (quasi-steady flow).
,
I . hc rcrn:iining t.c:rt~~s tlcst:rilm t.hc? clop:~rt~tros from tho q~~:~si-st~twJy s~l~ttion.
(:orrc~sl~)~~tlirtgIy, IJIV mlio of hcv~h fir~xrs :it, tltc wall for P = 0.72 (c/. 1501) is
drscrilwtl Ily
I
+,#
--- .
-- I",
, -,,--k...
I ,
The theory of laminar, non-steady boundary layers has been dcveloprtl cons~tle~ -
ably in the last years Information on this phnac can 1~ fortntl in thrrc vol~ttnrs of
confcrcnrc pro~w-tlings. '1'11~ fitst, rtlilrtl Ity 15 A 15icl1rll)rrnttrr, rc%l)orls (111 1 1 1 ~
IU'I'AM Symposium "ltcrent Research on Unstcady I3ountlary Layers", Qrwl~rc 1072
[74]. The second, edited by R R. Kinn~y [76], concerns a symposirtm on "IJnstcndy
Aerodynamics" held in I975 at the University of Arizona,. l'hc third is tlcvotcd lo nn
AGARTI mecting lrcltl in 1077 [7BJ. A rcvicw pnpcr by N ltilry may also tnct it comparison
[37a].
[I] Andratlc, E.N.: On tho airculnt.ion musod by tho vibr1lt.ion of :rir in 11 I.IIIII.. I'rov. 1111y. Stw.
A 134, 447-470 (1931).
12) Arduini, C.: Strnto limite incomprcnail~ilc Inrninnro ncll'int.orno do1 pnnt,o tli rist.ngt~o tli 1111
ciliuclro intlofinito oac:illanlo. I,'Aorolcc:nii:l~ .I/, 34 1 34lL (l!)lil).
[:)I I)ct*kor, I?:.: 1)m AIIW:LC~IUC~ dcr C~OII~.H(:II~(:II~~ in IIII~I 11iut.t:r (:illor I ~ ~ x ~ I I L I I H ~ ~ I I I H ~ v IIIU..
~ ~ I I ~ ~ .
Arch. 25, 155.- 103 (1957).
[4] Reckor, E. : lnahtioniirc Crcnzscl~icl~tcn l~intor Varrlicl~tr~~~gsst.iinn(!~~ II~I~I I':xl~n~~sio~~~\v(~l
ZPW 7, 61-73 (1959).
[5J Bccker, E.: Dic lnminnre inkomprcasible Grcr~zscl~irl~t nn rinrr tlural~ I:rufrntlc \Vrllcu
deformierten ebenen Wnnd. ZFW 8, 308-310 (1960).
[fi] Bccker, E.: Instationnre Grenzschicl~ten hintrr Vcrclict~t~~ngsst,iiase~~ unrl Ex~~nnsio~~sa~c~IIe
Progress in Aero. Sci. I (A. Ferry, D. Kiichc~nnnn, nnd L. I