Record. 



XXXlll 



9u u 9iv , , , , . ^ . ■ ^ 



where A = ^ + . + tt-; and the problem consists ni inte- 



c'r 



9z 



grating the differential equations 



9 /9u, u ^ -^^ 



(2) 



9 /9iL iL\ 9hi, ^ . ^ P'mj 



9 / 9w\ 9^w 



+ ('' + ^)|C^-+?)=« 



where the function 



(3) 



p(o^ 



8(2/x + X) 



has been introduced in place of u. At the same time the 

 following surface conditions must be satisfied: 



I. Full disc (0 <''^^). 



rr = for r = li, 



zz = for z = ±: h, 



rz = for r =Ii and for z = dr /^. 



II. Perforated disc (Ii,<r^jR,). 



>->• =r= for /• = itj and for r ^= R^, 



zz = for z = ziz ^t, 



rz = for r =^Ii^, for r = i?,, and for s = ± A. 



It can be shown that the followino- formulas 



(4) w = ^ 



k 



~2(2/x +X)^ 



A\rJ,(Vkr) + BlrK,(v,r) 



^l*«_^-^*^\ 



(e^^^-e-'^*") 



