354 Mr, T. Craig on Steady Motion in 



festly are satisfied only when 



^-{e+l^+r*}, 



(43) 





which are then the conditions to be fulfilled for u = v = iv = 0. 

 Referring now to the values of E £ and L i3 we have 



T 2i + l 



L < = 7+r 



N,= 



cii + biO} 



> for r = a } 



(44) 



dR j _ -(2i + l)ai + (2i-l)5i0 2 



forr = a. . (45) 



dr 



i + 1 a 



J 



Constructing, now, the last of the condition-equations (43), 

 there result 



from which we derive 



1 2i + l 



(46) 



a f = 



b~- 



2 i + 1 

 1 2i + l 



,2i+l 



,2»— I . 



J 



2 2 + 1 



and consequently 



■^■ereeM* ■ 



From the relation V 2 S= -sue obtain at once 



=*2 



41 2 -! 



r'^i+r-^- • • 



(47) 



(48) 



(49) 



^ + 



Since S and 5 are thus fully determined, the velocities u, v, w } 

 and f , 97, J are also known, and the problem of the motion of 

 the fluid particles is solved. We had before 



