Yamazaki 



^ke = ;7 J Vi + V K 



"pb 





( SP ) ( SP ) ' 



^d0 



+ [v^] I dv , 



(SP) (SP), 



1 c\/rTv<(^'-) 



w!(^.-s.)vyvL^ + v- , ©(o = ijyf^ 



^(^) ^v 



dv , 



dv 



2tt 1 



' 2 77 1 . 



-^ r ds f v^(s^ + [v*] ) dv 



7/2^ Jo -^Z ^^^ ^ (SP)' 



=\/( 1 + ij 



)/2 



or 



(face pitch)/2rg 



(112) 



Since the velocity components u^^ + [v*](sp) and ^ + [v^J^sp) can be assumed to 

 be independent of ^, they can be expanded similarly to Eqs. (90) as 



where 



r *i V^ * ^ in r'9w( f ) + 9( ^)v+8, 1 



^0 + [<] P) = E <n(Oe L mC ; C ; U 



(SP) 



277- 

 277 



(113) 



(114) 



in which [ ]^=-j.(,s indicates the value of [ ] at the representative plane of the 

 propeller disk. With account taken of the characteristics of a two-dimensional 

 unsteady airfoil in sinusoidal gusts the bound vortex gjC^.v,- S^) in Eqs. (91) and 

 (92) can be approximated by 



56 



