Johnsson and Stfntvedt 



u c (x) k 2 V 



/dz ^x'} 

 L - R(f^ . s , x' )dx' 



U s < dx 



NO 



u = chordwise induced velocity 



c 



D . 7r . r 1 



(4) 



Z . chord 



= 0. 825 r + 0. 105 

 dC. 



k — - /2tt 



2 



R = v ( ^ ) £ 



7T S 



da 



Z/2 (-^-^) + n" .cos 2 jzf 



4 2 



n=l ,x-x\ 4 2 / / X-x\ 

 ( ) + n + 2 n . cos2 p ( ) 



(f> = tt/2 -<A 



^ = pitch angle 



5. Bound Vortices on Other Blades. 



(5) 



T(p,Z) = circulation 



r. sin ^(r). sin(^-9+ 8 ) -(^(r)0-^(p)^)cos(jz(-e- 5 fc ). cos ^(r) 



P 4t j(^(r)0-^(pW +r+p - 2rp cos(^-e+5 k )( 7 



5k 



^ " ' , k = 2, Z, u 1 = chordwise induced 

 Z P 



sions : 



velocity due to a bound vortex of unit strength at 

 ( * k , P . JO 



The angle of incidence is found from the following expres- 



610 



