Boundary Lyer Theory

330 X[[1. lmninar bor~ndnry lnyers in compressible flow b. IEclation between the velocity and the temprratl~re firlcls
The pllonomcna wielcr consitlcrat,ion hccome, naturally, very complicat,ctl
becnuso of t.110 intcraction hetwccn thc velocity and the thxmal hountlary Inycm.
Conrparccl wiLh incornprcssil~lc flow there are at least four atldit,ional quantit,ics
which must I)o tdtcn into account, in tJie calculation of comprcssiblc boundary layers:
1. thc Mach nilrnbcr
2. th! l'r:tn(IlJ n~~mbcr
3. tho viscosity function p (7')
4. hountlary condition for tcmperatm-c clist,ribut.ion
(hcal, tmnsfcr or aclia1)atic wall).
It is clear that tho large numbcr of additional pnmmctms, compared with incomprcssiblc
flow, causes the numbcr of csscs likely to occur in practice to becomc almost
int.mctablo as a consequence.
Comprchcnsivc roviows of tllc numcrous papers concerned with comprcssil)lc
boundary laycrs were givcn by G. 1Zucrt.i 1571 and 8.11. Young [106]. Details of
spccial m:~t.hcmat.iral mcthods cmployctl by various nuthors have hccn discussed
by N. Curle [26) and I