Two-dimensional linear transient inverse heat conduction problem - Boundary condition identification

10.2514/3.442 ◽  
1993 ◽  
Vol 7 (3) ◽  
pp. 472-478 ◽  
Author(s):  
B. Guerrier ◽  
C. Benard
Keyword(s):  
Boundary Condition ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Two Dimensional ◽  
Inverse Heat Conduction

scholarly journals Solution of the inverse heat conduction problem with Neumann boundary condition by using the homotopy perturbation method

2013 ◽  
Vol 17 (3) ◽  
pp. 643-650 ◽  
Author(s):  
Edyta Hetmaniok ◽  
Iwona Nowak ◽  
Damian Slota ◽  
Roman Witula ◽  
Adam Zielonka
Keyword(s):  
Boundary Condition ◽  
Heat Conduction ◽  
Perturbation Method ◽  
Neumann Boundary Condition ◽  
Homotopy Perturbation Method ◽  
Heat Conduction Problem ◽  
Neumann Boundary ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Homotopy Perturbation

In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.

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