603 



The contributions of both groups to the integral I dy ?' are of 



course equal and of equal signs. 



If we now take vortices having thicknesses ranging from 1 to a 

 minimum value Z)„, and we take their intensities proportional to: 



BdD = (^-^^dD (55) 



(this expression has a positive \'alue for all values of D), then we 

 obtain for values of y l.ying between Z)„ and 1 — D, the following 

 expression of «J' (y) (with the omission of a constant factor): 



y 



11 5 ) 



from which follows: 



,J.(.v)-tf(l^ y) = -i-fJ--2/V .... (56) 



Hence between the boundary layers the values of //v are correctly 

 distributed. 



Within each boundary layer \uv\ decreases from 1/280 to zero. 

 The full expression of the valne of uv having been worked out, we 

 obtain the integrals: 



J.y,«-. = A_(l-2.667i).4...) 







— [dy (H' = ( I (1- 3,204 D + . . .) 







from which ; 



T = 2,129 Z). — terms of the order i),' (57) 



1 



The value of the integral My §' becomes: 







1 

 r 294 1 /I 3 \ 294/1 3 1 



2 1 dD \ — I Iq . 



J 630 D\D 4 y 315 \D, 4 ^ Z>, 



A 



This gives: 



