Consider steady one-dimensional heat conduction in a plane wall with variable heat generation and constant thermal conductivity. The nodal network of the medium consists of nodes 0, 1, 2, and 3 with a uniform nodal spacing of Δx. The temperature at the left boundary (node 0) is specified. Using the energy balance approach, obtain the finite difference formulation of boundary node 3 at the right boundary for the case of combined convection and radiation with an emissivity of e, convection coefficient of h, ambient temperature of T_∞, and surrounding temperature of T_surr. Also, obtain the finite difference formulation for the rate of heat transfer at the left boundary.

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To 0 Ax ė(x) 2 3 8 Tsun surr Radiation h, To Convection