Title : ( A Numerical Solution to Modify the Inverse Heat Conduction Problem with Noisy Data during the Heating a Solid Bar )
Authors: Mohammad Mohammadiun , Javad Abolfazli Esfahani , Omid Mahian , Hamid Mohammadiun ,
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Abstract
In this paper, the conjugate gradient method with adjoint problem has been 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 effects of noisy data on final solution are studied. Applications of this model are in the thermal protect systems (t.p.s) and heat shield systems. The numerical solution of the governing equations is obtained by employing least squares technique and finite volume method. The governing equation is considered as dimensionless. 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.
Keywords
, Conjugate gradient method, adjoint problem, time- dependent heat flux, noisy data, good accuracy, good stability.
@article{paperid:1023089,
author = {Mohammad Mohammadiun and Abolfazli Esfahani, Javad and Mahian, Omid and Hamid Mohammadiun},
title = {A Numerical Solution to Modify the Inverse Heat Conduction Problem with Noisy Data during the Heating a Solid Bar},
journal = {European Journal of Scientific Research},
year = {2011},
volume = {57},
number = {3},
month = {September},
issn = {1450-216X},
pages = {391--400},
numpages = {9},
keywords = {Conjugate gradient method; adjoint problem; time- dependent heat flux; noisy
data; good accuracy; good stability.},
}
%0 Journal Article
%T A Numerical Solution to Modify the Inverse Heat Conduction Problem with Noisy Data during the Heating a Solid Bar
%A Mohammad Mohammadiun
%A Abolfazli Esfahani, Javad
%A Mahian, Omid
%A Hamid Mohammadiun
%J European Journal of Scientific Research
%@ 1450-216X
%D 2011
