scholarly journals Source term identification for an axisymmetric inverse heat conduction problem

2010 ◽  
Vol 59 (1) ◽  
pp. 142-148 ◽  
Author(s):  
Wei Cheng ◽  
Ling-Ling Zhao ◽  
Chu-Li Fu
Keyword(s):  
Heat Conduction ◽  
Source Term ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Term Identification

scholarly journals A two-dimensional inverse heat conduction problem for estimating heat source

2005 ◽  
Vol 2005 (10) ◽  
pp. 1633-1641 ◽  
Author(s):  
A. Shidfar ◽  
A. Zakeri ◽  
A. Neisi
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Source Term ◽  
Heat Conduction Problem ◽  
Piecewise Linear ◽  
Continuous Functions ◽  
Inverse Heat Conduction Problem ◽  
Sequential Algorithm ◽  
Inverse Heat Conduction ◽  
Present Technique

This note considers the problem of estimating unknown time-varying strength of the temporal-dependent heat source, from measurements of the temperature inside the square domain, when the prior knowledge of the source functions is not available. This problem is an inverse heat conduction problem. In this process, the direct problem will be solved by using the heat fundamental solution. Then a sequential algorithm is developed to solve a Volterra integral equation, which has been produced by using unknown source term and overposed data conditions. This algorithm is based on the piecewise linear continuous functions. The performance of the present technique of inverse analysis is evaluated, by means of several numerical experiments, and is found to be very accurate as well as efficient.

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