355 



an Incompressible Viscous Fluid. 

 or 



with two similar expressions for v and iv ; these become now 

 »~f{f [>« Wf ] + **|<L,-*,)}, [.(50) 



or, since 



these can be written 



t(2t— 1) a 



■.-'♦sign 



»-riS(r'(e)"-o- 



=!{f['-i^o""'(a'-')] 



+ #<fc 



2(2z~l)(2i + l) /ax 2 *- 1 //a 



2(t+l) 



enej-o}. 



K51 



"Ktt-'f^en©'- 1 )] 

 -Kft'-f^eno'-o] 



The equations giving %, tj, £ are those in the second group 

 of (34); from these, with reference to (49), we obtain at once 



g (2i + l)(2»-l) «*-/.#< „#A 1 



. lg (2t + l)(2t-l) y-'/toi Jd+,\ 

 4-2 7 i+l r a+1 \"<& </;// 



