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.
Evaluation of a Diffusion Coefficient Based on Proper Solution Space
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received February 10, 2018; final manuscript received July 30, 2018; published online October 23, 2018. Assoc. Editor: Steve Q. Cai.
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Wang, Y., Hamad, A., and Tadi, M. (October 23, 2018). "Evaluation of a Diffusion Coefficient Based on Proper Solution Space." ASME. J. Thermal Sci. Eng. Appl. February 2019; 11(1): 011017. https://doi.org/10.1115/1.4041343
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