where 



Then we have 



Since 



then 



A General Theory for Marine Propellers 



1 / m 



3R„M 



■" ^'^Pf \ R^ R5 



1 / n 3R„M 



" 477^f \ R3 R5 



K, = I A, 







dt 







K^ = f A dt , 



m j m 



u 



K„ = r A„ dt . 



n n 



-00 



\= 0' - 4> = 0-0- fit , 

 d\ = -n dt , 



k = d - 4) , when t = , 

 \ = 00 , when t = -oo , 



1 f / 1 3RiM\ 



(30b) 

 (30c) 



cos /3Q(d + p\ tan /3) + r sin /3q sin \ . (31) 



(32a) 



" 477pjfi I \ R3 R5 ' 



1 r / n 3R M \ 



K = -i— -JL+_I^dX. 32c) 



99 



