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

ID: 1940060 • Letter: C

Question

Consider transient heat conduction in a plane wall with variable heat generation g(x.t)= q=(x,t ) and constant thermal conductivity. The nodal network of the medium consists of nodes 0, 1, 2, and 3 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 epsilon convection coefficient of h, ambient temperature of Tx, surrounding temperature of T ser and uniform heat flux of q0= qwall toward the wall. Also, obtain the explicit finite-difference formulation for nodes 1, 2 and 3.

Explanation / Answer

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