Reconstruction of the heat transfer coefficients and heat fluxes in heat conduction problems

Talaat Abdelhamid, Ammar H. Elsheikh, Olatunji Mumini Omisore, N.A. Saeed, T. Muthuramalingam, Ronglinag Chen and Md. Mahbub Alam

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 134-154

Abstract: This paper studies the reconstruction of the spatial-dependent-heat transfer coefficient γ(x) and- heat flux q(x), using the Levenberg–Marquardt (L–M) connected with the surrogate functional method and the modified conjugate gradient method (MCGM) (problem I). In addition to studying the reconstruction of γ(x) and space–time-dependent heat flux q(x,t) using the MCGM (problem II). The numerical results obtained by the L–M and MCGM demonstrate the efficiency, accuracy, and robustness of the proposed methods. The obtained results are compared with those obtained from an inverse approach connected with COMSOL Multiphysics under the same conditions. Finally, a conclusion and some remarks are presented.

Keywords: Simultaneous identification; Numerical reconstruction; Heat flux and heat transfer coefficient; Modified conjugate gradient method; Levenberg–Marquardt method (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:134-154

DOI: 10.1016/j.matcom.2021.02.011

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