Analysis of Ship-Side Wave Pro filet 



potential in Equation (2) is obtained from the linearized free-surface 

 condition 



_L a 2 * + a* = o 



g ^ 2 c5T 



z = 



(24) 



Assuming that the second order term for the free-surface 

 condition is independent of the hull-surface condition, the approxi- 

 mate calculations are carried out as follows. 



Using small parameter « (we can choose * = B/L), we 

 can get the well-known expansions 



2 3 



1 2 3 



(25) 



r,^y'r 2 + . 3 r 3 + 



Then the kinematical condition of free surface 



(u + sL&) II + ^i 11 . <L* 



3x dx ^y ^y ^z 



= 



z = r 



(26) 



is written as 







}+ <M*S- 



^$2 ^2 ^1 ^1 



Sz dx dx 



+ ■v-= r-^ - =-^ ^ > 27 



dy dy 



H 



+ « 



{•••} 



+ . . . = o 



z = 



699 



