420 Mr Wilson, On Convection of Heat. 



Consequently, 



*(*) 



2 V2Q 



sin Sx sin 5# sin *7x sin 9# 

 .■" 3 5- + ~ + ^- 



sin 11a; sin ISx 



Hence A 1 = 



V2Q 



nrk \/l + p 2 ' 



A* = 



-OLs — — = , XL 7 — 



11 13 



-V2Q 

 dirk V9+J9 2 ' 



V2Q 

 i 7tt&'v / 49+£> 2 ' 



+ 



5tt& V25+J9 2 

 etc. 

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



V2Q / e(#-\/l+P~ 2 ) * . e (i»+\/9+^)a; 



tt& V Vl + _p 2 

 and, when x is negative, 



sm?/ 



V9 + 



P 



sin 3y — 



V2Q / e(p+^ 1+ ^ x . e(p+s/^+p 2 )x 



1 smy — - sin 



irk \ Vl + p 2 

 ill 



V9 +J)2 



3y-...) 



"i -■? "/ 0/ % Z & S & f 8 a: 



Fig. 3. 



Fig. 3 shows some of the isothermal lines given by these 

 formulae, taking — -j- = 1 and p = 1. 



