Publication de 18 numéros par an
ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561
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0.6
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0.00072
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0.318
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AN ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION IN A SLAB WITH NONHOMOGENEOUS BOUNDARY CONDITIONS USING THE SUPERPOSITION TECHNIQUE AND SOLUTION STRUCTURE THEOREM
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RÉSUMÉ
Non-Fourier heat conduction in a slab with nonhomogeneous boundary conditions is investigated analytically. In this research, the solution structure theorems, along with the superposition technique, are applied to obtain a closed-form solution of the hyperbolic heat conduction (HHC) equation using fundamental mathematics. In this solution, a complicated problem is split into multiple simpler problems which in turn can be combined to obtain a solution to the original problem. The original problem is divided into five subproblems by setting the heat generation term, initial conditions, and the boundary conditions to different values in each subproblem. The methodology provides a convenient and accurate solution to the HHC equation, which is applicable to a variety of HHC analyses for various engineering applications. The results obtained show that the temperature will start retreating at approximately t = 1.05 and at t > 1.04 the temperature at the left boundary decreases leading to a decrease in the temperature in the domain. Also, the shape of profiles remains nearly the same after t = 1.5.
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Yang Wanyou, Zhou Qinghua, Zhai Yu, Lyu Ding, Huang Yanyan, Wang Jiaxu, Jin Xiaoqing, Keer Leon M., Wang Q. Jane, Semi-analytical solution for steady state heat conduction in a heterogeneous half space with embedded cuboidal inhomogeneity, International Journal of Thermal Sciences, 139, 2019. Crossref
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Mozafarifard Milad, Toghraie Davood, Numerical analysis of time-fractional non-Fourier heat conduction in porous media based on Caputo fractional derivative under short heating pulses, Heat and Mass Transfer, 56, 11, 2020. Crossref
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Ymeli Guillaume Lambou, Kamdem Hervé Thierry Tagne, Tchinda Réné, Lazard Myriam, Analytical layered solution of radiation and non–Fourier conduction problems in optically complex media, International Journal of Heat and Mass Transfer, 145, 2019. Crossref
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Tribess Richard, Bertoli Sávio L., K. de Souza Carolina, Reiter Mercedes Gabriela Ratto, Krautler Maria I. L., Gonçalves Marcel J., Analytical solution of a heat transfer model for a tubular co-current diluted moving bed heat exchanger with indirect heating and thermal losses to the environment, Chemical Engineering Communications, 209, 6, 2022. Crossref