Consider steady one-dimensional heat conduction in a plane wall with variable heat generat...

Consider steady one-dimensional heat conduction in a plane wall with variable heat generation and variable thermal conductivity. The nodal network of the medium consists of nodes 0, 1, and 2 with a uniform nodal spacing of Δx. Using the energy balance approach. obtain the finite difference formulation of this problem for the case of specified heat flux  to the wall and convection at the left boundary (node 0) with a convection coefficient of h and ambient temperature of T∞, and radiation at the right boundary (node 2) with an emissivity of ε and surrounding surface temperature of Tsurr

FIGURE P5-34