Murthy 



than that of the potential and may therefore be ignored. 



As stated above, the above assumptions may be made pending 

 a rigorous solution of the integral equation for the potential so that 

 practical results can be achieved even if they are approximate ones. 



Also, under assumption (i) above, 



lip p dxdy = (7) p dy = 



and we may write simply 



^ R W u . = 7 // P o ^0100 



/3 cushion J J xx 



TJJ\ *oio. 



= Y f*o <i> 0100 x dy 

 The line integral is again zero and ° 





2 R W 

 6 cushion 



So 



v 2 ff dP J* ,y ) ff dP J^,v) 



/i 2 // dx // d£ 



5 o 



fc (x,y, ojl, 77,0)] (6-31) 



This is almost exactly of the same form as the expression (6-24) for 



the hull wave resistance with p instead of h. 



o 



Now 



l/2 



: / cos k (x-£) sec0 

 / L o J , 



2 ° 1 3 4k of 



:osk (y-*? ) sec 6 sin0 sec 6 dO + -*~ — Is 



5 G (x, y, o; i ,r\ ;o) 



3 X O J ^ 



sec 0d0 



154 



