Murthy 



i at 



+ pae 



+ 8 (3ae 



|_0h G (cr 2 x oo ^g^ ool )-(-^) ^ 



001 



]♦ 





17 (X 101 " z ooi 'l 



*,„J - 



00 



- g *ioij ~ { ~b a ^ioi + 



m 2 2 l 2 2 "I 



+ (— )h G a (* Q11 -z 001 * 010 )-g %11 -tj) * VlJ + 



2 iat "2, 



+ a"ae iWU ^)h G |o^(x 101 -5 001 "* i00 ) 



g J 



2, 2 



loij - ( f } r " f ioi + 



m / 



^ 2 ae 1C ^)h G |a (i^ r 5 01*010 ) 



•onl-^ "^on 



(IV. 5) 



APPENDIX V 

 DERIVATION OF INTEGRAL REPRESENTATION FOR VELOCITY 



POTENTIAL 

 The boundary value problem for the harmonic function p 

 has been formulated in Section III. The classical method of dealing 

 with such problems is the application of Green's theorem in conjunc 

 tion with appropriate Green's functions giving the following integral 

 equation for <£ : 



*(x.y,i;t) =~. II C 



G (x,y, z;k,n , f ) -s 



- <&U,i?,f ;t) 



c>n 



^n 



dS 



(V. 1) 



212 



