Consider transient heat conduction in a plane wall with variable heat generation and const...

Consider transient heat conduction in a plane wall with variable heat generation and constant thermal conductivity, The nodal network of the medium consists of nodes 0, I, 2, 3, and 4 with a uniform nodal spacing of Δx:. The wall is initially at a specified temperature. The temperature at the right boundary (node 4) is specified. Using the energy balance approach, obtain the explicit finite difference formulation of the boundary node 0 for the case of combined convection, radiation, and heat flux at the left boundary with an emissivity or ε , convection coefficient of h, ambient temperature of T∞ surrounding temperature of Tsurr, and uniform heat flux of  toward the wall. Also, obtain the finite difference formulation for the total amount of heat transfer at the right boundary for the first 20 time steps.

FIGURE P 5-91