Bessho 



preferable to take 



Zirr 



instead of (A. 9). 



Far downstream, we have 



>ir/Z 

 .tr/z 

 where 



'^P^^T^^TZT^' (A. 9') 



'^P^ ^« \ 1^"^ \ <t>e(P.e)H(e)sec^e de. (a. 15) 



and 



4>e(P,e) = exp [g sec^e(z + iw)] (A. 16) 



H(e) =yy [<|»^<j)^- HJ dS - ij ((l>(j>^^ - <t>A) dy. (A. 17) 



For a pressure distribution, we have simply 



A = 



and (A. 18) 



B = —J J p(x,y) dx dy. 



where 



H(0) = i^J J p(x,y)4>e^dxdy. (A.19) 



If the flow direction is reversed, the conditions corresponding 

 to (A.l), (A. 2), and (A. 3) are as follows: 



ip(x,y) = $,(x,y,0) - gUx,y), (A. 20) 



'$,(x,y,0) = - ?^(x,y), (A. 21) 



and 



568 



