Boundary Lyer Theory

392 XJV. I%outldnry-layer control
(P .- 1; adiabatic wall). When thc flow is incompressible, we have T, = T, , and
cqn. (14.18) rrc111ccs to cqn. (14.6).
1.3. Approximate noltikiona. In t11c general case of an arbit,mry body shapc
and ILII nrl~itmry law of ~uction we must resort to approximate methods based
on t.110 morncntum cqt~atiotl ; tJlcy wcro clcsc:ribetl in Chap. X. The momcntom ocluat.ion
for (.he case with s~~(:tion is ol)t,ninccl in ex:~c:Lly tho snrnc wny as bcfore, cxccpt that
it is now ncccssary to take into account the fact that the normal component of the
velocity at the wall tlilTcrs from zero. I'crforming t.he same calculation as in Scc.
VI IT c, we firttl that, the equation for the normal component of velocit,y at a distance
y = h from the wnll now becomes
Vh = lJO -- j
-- 8% ( I . ~
ijz
0
'She ralct11ati011 is ~:onl,inucd in exactly thc same way as in Sec. VTTTe, and leads
finnlly to the following rnornrntt~m rqit:~tion for thc bouttdary I:tycr with suction
the- rnrrgy-intcgral rqtml ion, areording to I