Chapter 5 Numerical Methods in Heat Conduction 5-9 A plane wall with variable heat generation and constant thermal conductivity is subjected to uniform heat flux at the left (node 0) and convection at the right boundary (node 4). Using the finite difference form of the 1st derivative, the finite difference formulation of the boundary nodes is to be determined. &q0Assumptions 1Heat transfer through the wall is steady since there is no indication of change with time. 2 Heat transfer is one-dimensional since the plate is large relative to its thickness. 3 Thermal conductivity is constant and there is nonuniform heat generation in the medium. 4 Radiation heat transfer is negligible. Analysis
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