Murthy 



Considering first the hull resistance and substituting for the 

 potential from (6-21), we have 



1 



R 



82 W hulls 2 



PV 2 ffdh , ,, ,[[ dh 



d^dr 



1o 1 



[g x , (x\b,z';£',b, f ) + G x , (x' ,b,z' ; £', -b, T )] 



(6-24) 



Now 



and 



dG(x' ,b, z«; |*,b,f') 



r 



ax' 



[(x'-0 2 + (z--r ) 2 ] 



2] 3/2 + 



- « 



[(x'-r) 2 + (z'+f ) 2 ] 



21 Tfz 



V 2 . ,....,, 2 



■4 k I 

 '0 



if 



q \ e ° cos |~k (x'-f) secBM sec 5 d0 



ik f r - P (z'+r') . | , tA 



^ / sec* d* f-^ sm [gfe-jj_co 



sec0 d0 



3 G(x' ,b, z' ;£', -b, f' ) 



ax> 



p - k sec 

 o 



x' -|' 



dp 

 (6-25) 



[(x«- o 2 + 4b 2 + (z--r') 2 ] 



X' -? 



2] 3/2 



-4 k 



[(x'- ^') 2 + 4b 2 + (z'+f') 2 l 



// 2 , y', 2 



/ -k Q (z'+f ) sec 6 2 



/ e cos k (x 1 - ^')secfi cos 2k bsec sin0 



sec 6 dd + 



^ -If "I 



9/ a ^ nfiA J p e ~ P Z j Bin[p(x'-S')cos0jcos[2pbsing L 



p - k sec 6 

 o 



(6-26) 



150 



