Consider transient heat conduction in a plane wall with variable heat generation

Question

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. 1. 2.3. and 4 with a uniform nodal spacing of Delta x. 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 of e. convection coefficient of h. ambient temperature of T infinity. surrounding temperature of T , 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.

Explanation / Answer

Consider transient heat conduction in a plane wall with variable heat generation

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