negligibly small as the distance Trora the boundary increases, 

 i.e., as T] or X decreases. 



If the three contributions (29), (^2), ('+3) to the com- 

 plete solution for V-, be added, the final form for V, is 



a cos T. 1/3 s r/ 2 - 2 2v . i 



V^ - (-X + r - e ) L(y ns + On s )sin nsy + y cos nsyj 



^ 



-2/3/,! _ re"^^^ n r ^^ ,x/3e"^'^^, 

 + a cos T sin nsy e 1 (i ^ x + C2(y))cos( ^- — ) 



-1/3 ^ ,/.-l/3 I - XB-V3 



+ (3_:i_^r_e _ ^ ^ c.(y))sin(iill^ ) [e 2 



3/3 ^ 2 J 



r n / N -1/3 



-1/3 j,. ^ -1/3 , ,1 (^-^^^ 



+ a cos t: sm nsj- e y-OL-Z— i. e "'" -^i ^^^ 1 ® • 



By means of the continuity equation we then find 



U 



- _ ^ ^'?^ '^. [2nsy sin nsy + (y n s + 2 + Qn^s-^)cos nsy] 



-L 9 



[. 2L_ + x(r - e^'^^) ] + C^jt^- ^L-CQAILnsy sin nsy e^/^e^x-r) e 



- a cos T ns cos nsy 



3 3 



[A,-l.(-l)i:Yi]e^^-^^^"'^' 

 3 



-1/3 



9A-, (x-r)e 



- a cos T sin nsy — ~ e - 3.^.?i5SJI- nsy sin nsy • 



ay 



/- -1/3 l/-\ ■ r- -1/3 _ XE 



/3 2 



- a cos T ns cos nsy£"^^^[(>^^^ - 1— + rx ) c o s (ii^i-^— ) + 



333 2 



-1/3 



2/3 1/3 N/r -1/3 _ 2Le«^=_ 



\/3 3 ''/^ 3 /3 2 



e 



9 JCP^ 4- \/-5 r ^Qin nc^r OMcr^ >^3£ 



+ a COST :i-^_ ^ (C2 + ^3 C-^)sin nsy cos(it J-^^ ) + 



+ (C^ - l^ C2)sin nsy sin (ii5|_._) ^ e 2 , (I+5) 



