International Journal of Thermal Sciences, ( ISI ), Volume (50), No (1), Year (2011-12) , Pages (2443-2450)

Title : ( Estimation of the time- dependent heat flux using the temperature distribution at a point by conjugate gradian method )

Authors: Asgar Bradaran Rahimi , mohammad mohammadiun , I. Khazaee ,

Citation: BibTeX | EndNote

In this paper, the conjugate gradient method coupled with adjoint problem is used in order to solve the inverse heat conduction problem and estimation of the time- dependent heat flux using the temperature distribution at a point. Also, the effect of noisy data on final solution is studied. The numerical solution of the governing equations is obtained by employing a finite-difference technique. For solving this problem the general coordinate method is used. The irregular region in the physical domain (r, z) is transformed into a rectangle in the computational domain . The present formulation is general and can be applied to the solution of boundary inverse heat conduction problems over any region that can be mapped into a rectangle. The obtained results for few selected examples show the good accuracy of the presented method. Also the solutions have good stability even if the input data includes noise. The problem is solved in axisymmetric case. Applications of this model are in the thermal protect systems (t.p.s.) and heat shield systems.

Keywords

, conjugate gradient method, adjoint problem, time- dependent heat flux, noisy data, axisymmetric, general coordinate method, good
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@article{paperid:1023331,
author = {Bradaran Rahimi, Asgar and Mohammadiun, Mohammad and I. Khazaee},
title = {Estimation of the time- dependent heat flux using the temperature distribution at a point by conjugate gradian method},
journal = {International Journal of Thermal Sciences},
year = {2011},
volume = {50},
number = {1},
month = {December},
issn = {1290-0729},
pages = {2443--2450},
numpages = {7},
keywords = {conjugate gradient method; adjoint problem; time- dependent heat flux; noisy data; axisymmetric; general coordinate method; good stability.},
}

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%0 Journal Article
%T Estimation of the time- dependent heat flux using the temperature distribution at a point by conjugate gradian method
%A Bradaran Rahimi, Asgar
%A Mohammadiun, Mohammad
%A I. Khazaee
%J International Journal of Thermal Sciences
%@ 1290-0729
%D 2011

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