Fuzzy interval perturbation method for uncertain heat conduction problem with interval and fuzzy parameters

2015 ◽  
Vol 104 (5) ◽  
pp. 330-346 ◽  
Author(s):  
Chong Wang ◽  
Zhiping Qiu ◽  
Yanyan He
Keyword(s):  
Heat Conduction ◽  
Perturbation Method ◽  
Heat Conduction Problem ◽  
Interval Perturbation Method ◽  
Fuzzy Parameters ◽  
Fuzzy Interval

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.

A Simple Model for Transient Heat Conduction in an Infinite Cylinder With Convective Boundary Conditions

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Messaoud Guellal ◽  
Hamou Sadat ◽  
Christian Prax
Keyword(s):  
Heat Conduction ◽  
Simple Model ◽  
Perturbation Method ◽  
Explicit Solution ◽  
Heat Conduction Problem ◽  
Transient Heat Conduction ◽  
Infinite Cylinder ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
One Dimensional

A perturbation method is used to solve an unsteady one-dimensional heat conduction problem in a cylinder. A simple second order explicit solution is obtained. It is shown that this solution is accurate even for high values of the Biot number in a region surrounding the center of the cylinder.

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