APPENDIX 

 DERIVATION OF EQUATION [6] 



Using the definitions 



and 



Wieghardt^ assumed 



yv* 



n =■ 



<f>^C{n)r,\ 



From an analysis of experimental results, he obtained the data given in Table 3. 

 Substituting Equations [8] and [9] in [10], we can obtain 



2 , 



C{n) 



which gives 



for u = Uq a.t y = 8. 



Now, the drag per unit width is 





2n 





"o 



n+ 1 



V 



C{n)_ 





8 



J^x ^8 



-0 ''o 



and the momentum thickness is 



dV^A u{U^-u)dy. 



[8] 

 [9] 

 [10] 



[11] 



[11a] 



[12] 



[4] 



Substituting Equation [4] in [12] and differentiating the resulting equation with respect to 

 X s[ives 



But 



d , dd 



-Tq^ pv. 



[13] 



[14] 



16 



