337-339] Maxwell's Equations of Transfer 283 



IV. = u 



339. Lastly, in equation (656) we put 

 Q = u (u 2 + v* + w 2 ) 



= (M O + u) + v<? + w 2 + 2** U + 2v v + 2w w + u 2 + V 2 + w 2 ), 

 so that Q = u (w 2 + *y 2 + w 2 ) + 5w g-, 



" 2 2 2 



uQ = (3w 2 + v 2 + w 2 ) q + u 2 (u 2 + v 2 + w 2 ), 

 v = 2u v q, wQ = 2u w q. 



Since we are supposing the gas to be in a steady state, we may suppose 

 U, V, w to be distributed according to Maxwell's Law. Assuming this law 

 we have 



= = 

 so that 



,co 

 U 4 



U 2 W 2 = q 

 and hence 



Hence on putting Q = u (u? + v 2 + w 2 ) in equation (656), we obtain 



T\ *-L 



^ u * v ~^~ ^ ( 8w 2 + 



+ 2w i; g- (i/g) + 2^0^0^(1/3-) 



+ Aw (w 2 + v 2 + w 2 ) 



[^ /-i P) 1 



^ (3w 2 + V + w 2 + 50) + g- (2z* Wo) + ^ (2M w fl ) 



+ Aw (w 2 + 



