Open AccessPrediction of multi-parameters in the inverse heat conduction problems
Author(s) -
Talaat Abdelhamid,
Rongliang Chen,
Md. Mahbub Alam
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1707/1/012003
Subject(s) - conjugate gradient method , sensitivity (control systems) , thermal conduction , heat flux , inverse problem , inverse , mathematics , heat transfer , nonlinear conjugate gradient method , temperature gradient , mathematical analysis , algorithm , physics , thermodynamics , computer science , gradient descent , geometry , artificial neural network , quantum mechanics , electronic engineering , machine learning , engineering
This paper studies the prediction of the spatial-dependent-heat transfer coefficient γ ( x ) and- heat flux q ( x ), using the modified conjugate gradient method (MCGM). The mathematical formulation of the problem well defined and the existence of the minimizer is investigated. We establish the sensitivity and adjoint equations for computing the gradient with respect to γ ( x ) and q ( x ). The proposed algorithm 4.1 is derived for reconstructing γ ( x ) and q ( x ) using the MCGM. The numerical experiments are examined to show the efficiency and accuracy of the proposed method. Finally, some conclusions and remarks are given.