JP Journal of Heat and Mass Transfer
Volume 15, Issue 3, Pages 483 - 496
(August 2018) http://dx.doi.org/10.17654/HM015030483 |
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NONLINEAR HEAT TRANSFER IN RECTANGULAR PLATE WITH RADIATION EFFECT
Souad Benleghrib, Younes Abouelhanoune and Mustapha El Jarroudi
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Abstract: This paper is devoted to study the mathematical and numerical solutions of heat conduction problem through a rectangular plate domain modeling diffusion and radiation heat transfer. For this, we assume that the nonlinear thermal conductivity is modeled by and the source term is constant with choosing the black body radiation model that is proportional to with a constant radiation σ. The existence and the uniqueness of the solution have been done by fundamental theorems of analysis. To find the numerical solution of nonlinear boundary value problem, the Crank-Nicolson scheme has been developed for governing nonlinear partial differential equation using the Picard and SSOR iteratives based on PCG algorithm to solve the nonlinear algebraic system. Numerical results for the effect of surrounding temperature, specific heat and radiation throughout 2D copper rectangular plate are obtained.
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Keywords and phrases: heat transfer, thermal conductivity, radiation, SSOR, PCG algorithm. |
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