Cox 

 The free vorticity contribution can be expressed in the more convenient form 



.2 , X 2n1/2 





f ^ 



e-e* 



( r - r* cos i//) dr 



dd 



(4) 



-J /'^[7(r,^)(r^.^,^)^/^] [f '-^Lll. 



cos i//) dr 



R3 



deidr 



1 V^ 



q=l I S 



2 ^ X 2 n1/2 



y{r,e) (r2 + \.2) 



/ 



{X. ( r* - r cos 0) + [x* - \ j(t + 0*)] r sin i//} dr 



d0 



- / 



2 4. X 2x1/2. 



[7(r,0)(r2 + A..2)^^^] 



(5) 



r 



{\j(r*- r cos 0) + [x* - \..^{t + e*)]v sin >//} dr 



d^dr 



In order to obtain the induced velocity at various positions (x*, r*, 8*) on 

 the reference blade, i.e., q = 1, it will be necessary to take x* = d?* \| + e on 

 that blade initially and consider the limit as e — '0. For q 7^ 1 it will be ade- 

 quate to take X* = 9* k\ immediately. 



For the pressure equation (A9), see Fig. A2, 



Ps: = Ps " - T 



b c 2 



(6) 



where 



P-00 - e 



pU2 



Thus 



934 



