Evaluation of a diffusion coefficient based on proper solution space

[+] Author and Article Information
yuanlong Wang

PhD Candidate, Denver, CO, USA

Abdalkaleg Hamad

PhD Candidate, Denver, CO, USA

Mohsen Tadi

Associate Professor, Denver, CO, USA

1Corresponding author.

ASME doi:10.1115/1.4041343 History: Received February 10, 2018; Revised July 30, 2018


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.

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