418 Mr Wilson, On Convection of Heat. 



The expression for 6 is therefore, when x is negative, 



TV 



- 1 ) e (Wi+* 2 )* s i n2/ 



n/1+F 



+ A / P _ l) e d»W5+?)« gin ^ + . .. ; 



3tt VV9 + f I 

 and, when a? is positive, 



I s _J V ^-^+^'mny 



n/1 + ^ 2 



**(*♦ 



P 



-s/9+p' 



¥ 



p-*j9+p 2 )x 



sin 32/+.... 



^•y 



d'O 



? oa io 



Fig. 2. 



Putting a? = 0, and adding the two series, we get 



1 2 n 2 t) 



6 = ■= H 7 ^ sin « + k- -7 --- — sin 3# + . . ., 



which, when p = 0, reduces to Q = \. 



Fig. 2 shows some of the isothermal lines for the case p = l. 



Next, suppose the planes AB and CD are everywhere kept 

 at temperature zero, and the plane Oy contains an uniform source 



. IT , 37T 1 



of heat of strength Q per unit area from y = ^ to y = ^, the 

 distance between the planes being nr as before. 



