-51- 



and (17), (5), (6), we have 



297 



(18) 





^.1 



(19) /'^.cos OdS = fnA^d + sT^dJ) . 



i/k -^ 3 „., n 



5» The kinetic energy of the water . 



The kinetic energy ^ of the water is 



by Green's theorem. By (2), and the Green's theorem 



/,^*x 



o 8n 



dS 



=/*; 



an 



dS, 



dS 



The boundary conditions (3), (4) yield 



(20) 7* = I >0 A^ /4>Q dS - 2AB / * ^dS + B^ / #^ cos OdS 



The integrals appearing in (20) have been calculated 

 in the- preceding sections. By (13), (18), (19), 



(21) ^= 2n^A^ 



.:2 



(l+fQ)A'' - 2f^AB + (^ + f2)B 



B=] , 



