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Evaluation of a Diffusion Coefficient Based on Proper Solution Space

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This note is concerned with the evaluation of the unknown diffusion coefficient in a steady-state heat conduction problem. The proposed method is iterative and, starting with an initial guess, updates… Click to show full abstract

This note is concerned with the evaluation of the unknown diffusion coefficient in a steady-state heat conduction problem. The proposed method is iterative and, starting with an initial guess, updates the assumed value at every iteration. The updating stage is achieved by generating a set of functions that satisfy some of the required boundary conditions. The correction to the assumed value is then computed by imposing the remaining boundary conditions. Numerical examples are used to study the applicability of this method.

Keywords: coefficient based; evaluation; evaluation diffusion; diffusion coefficient

Journal Title: Journal of Thermal Science and Engineering Applications
Year Published: 2018

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