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 ε. convection coefficient of h ambient temperature of Tx and surrounding temperature of Tsurr. Also obtain the finite difference formulation for the rate of heat transfer at the left boundary.
FIGURE P 5-122
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