- - = a) For a finite-difference formulation in 2d heat transfer, starting from the original equations, prove the below relationship in steady-state mode with bulk heat generation and constant thermal conductivity. Tm-1,n 27m,n + Tm+1,1, Tm,n-1 27m,n + Tm,n+1, 9m,n + + 0 Ax2 2 k b) If k=25 W/m.C, and heat is generated T = 500 C uniformly in the body at a rate of g=106 W/m?, find the temperatures of the below nodes (assume ax=ay=0.1m): 1 N T = 100 C T = 100 C 3 4 T = 100 C