﻿Equations of Motion of a Viscous Fluid. 451 



Changing the notation to that which we have employed we have' 



£=*fi^> + £&M-^ • • • r(1 ° 



and four similar equations. 



For cylindrical coordinates we have, as before, 



J 



^ = ^3 = 1, h 2 = -, 



"ST 



and equations (10) give f 



'U7W 



^ rl'dw "d v -\ 



rf = /*[ 



B^ _ v 1 ^m 



In the case of spherical polar coordinates r, 0, <£, we have 



r r sin # 



and equations (10) give J 



/? = — p + \& + 2fi ^- , 



ft— ^+x»+^+-W+^g). 



* Lame, Coordonnees Curvilignes, p. 284. 

 -j- Lame, Lecons sur I' Elasticity, p. 184. 



J Elasticity p. 19ih Some differences of sign are introduced by the 

 fact that Lame takes for the angle 9 the latitude instead of the co-latitude 



2 G 2 



