22 



For a flat plate with zero pressure gradient the von Karman momentum equation 

 reduces to 



&0 _ r w t 



dx "Tu 1 



[50: 



= 



■jo 



dx 



[51] 



PU 



w 



where by definition 



Hence 



Ju 



D = wj r 



dx 



D = p U 2 0W 

 Finally from Equations [49] and [53] 



C f x 



[52] 



[53] 



[54; 



The substitution of the relations for C f from [54] and for R into the 



Schoenherr formula, [47], produces 

 (f) ? 



4.13V2 1og l0 (^) 



[55: 



Differentiation with respect to x gives 



dx \x) 



lo Sio(-^-)2 + l°g 10 e 



8.26 >T 



Substituting for (-W from [55] and using [50] finally results in 



T w = 0.01466 



pi 2 " ~ log 10 (2R,)[^ log 10 (2R,)+0.U343] 



[56] 



[57] 



