Fink and Naudascher 
Integration over a lateral distance yp yields with u= Uy 
vi 
uG Yo 2 
aay U, (a me Ja rs u,(u Chaat yya +V d Jq =. 
0) 0 
0 (8) 
As was done with Eq.4, this integral relationship can be reduced by 
substituting the similarity transformation (Eq. 5). In regard to the 
integration to follow, it is useful to rewrite the governing differential 
equations in dimensionless form : 
from momentum equation : 
i) (asl: ye 
Cr ibpeieanes (9) 
from energy equation : 
; n 
+1 0 
d - 1+V f 1¢+V_j 
ees, | penae ee f 1+4f- —7 dn 
2 7 
male = : “ 
1q 
et ae it 
[Beno ao 
7 j oF Hi 
, 
alee 
jt 
eae it U2 oe dialing (3) 
wii ws 
Combining Eq.9 with Eq. 10 leads to the ordinary differential equa- 
tion 
9 : Au 79 2 
d i z 3 
BibtlaL acon han ah Seay (cia Meg ope ping seed (2a (df/dn jad 
d(x/0.) 2 Uso. 2 1+V 
j 0 V poe 0 1+4f—~ 
V (11) 
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