Analysis of Ship-Side Wave Profiles 



To find out the effect of finite Froude number, the Green 

 function G(x, y, z ; £ , rj , f ) expressed in Equation (3) is rewritten 

 as 



G(x,y,z ; £ ,% , f ) = Gj + G £ + G ? (17) 



where 



G 1 = - — - — (18) 



1 n ?2 



G 2 = - 4 K 



/? / 2 a K o^ ( z + H sec 2 5 . ,__ o 2 . 



£ / sec e ° sinK jt p sec 6 ) d 8 



° J o 



-f+® (19) 





oo 



° / dOlk sec 5cos(k K i z + f )- ksin(k K Q / z +f) 



2 K 



3 « ./ ^o 



2 4 



-y+ © k- + sec-tf 



-kK Q ip 



(20) 



dk 



p = (x - £ ) cos 9 + (y - v ) sin 



tan © = (y - V ) / (x - £) (21) 



In Equations (17) through (21), the second term G 2 denotes 

 the free wave component which propagates oscillatorily to the rear of 

 a ship, while (Gj + G3) represents the local disturbance. 



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