Determination of an Unknown Heat Source from Overspecified Boundary Data

1968 ◽  
Vol 5 (2) ◽  
pp. 275-286 ◽  
Author(s):  
J. R. Cannon
Keyword(s):  
Heat Source ◽  
Boundary Data

scholarly journals Determination of a spacewise dependent heat source

2007 ◽  
Vol 209 (1) ◽  
pp. 66-80 ◽  
Author(s):  
Tomas Johansson ◽  
Daniel Lesnic
Keyword(s):  
Heat Source

An analytical approach of heat transfer modelling with thermal stresses in circular plate by means of Gaussian heat source and stress function

2021 ◽  
Author(s):  
Sangita Pimpare ◽  
Chandrashekhar Shalik Sutar ◽  
Kamini Chaudhari
Keyword(s):  
Boundary Condition ◽  
Heat Source ◽  
Circular Plate ◽  
Thermal Stresses ◽  
Research Work ◽  
Homogeneous Boundary Condition ◽  
Flux Boundary Condition ◽  
Differential Transform ◽  
The Mathematical Model

Abstract In the proposed research work we have used the Gaussian circular heat source. This heat source is applied with the heat flux boundary condition along the thickness of a circular plate with a nite radius. The research work also deals with the formulation of unsteady-state heat conduction problems along with homogeneous initial and non-homogeneous boundary condition around the temperature distribution in the circular plate. The mathematical model of thermoelasticity with the determination of thermal stresses and displacement has been studied in the present work. The new analytical method, Reduced Differential Transform has been used to obtain the solution. The numerical results are shown graphically with the help of mathematical software SCILAB and results are carried out for the material copper.

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