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Solving macroscopic and microscopic pin-fin heat sink problems by adapted spectral method

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Abstract

In this paper, simulation of heat transfer in a heat sink with macroscopic and microscopic scales when one pin-fin is added to the system is investigated by the proposed spectral method. In the microscopic problems, heat transfer model uses dual-phase lag formulas in contrast with macroscopic problems when Fourier law is used to formulate the governing equation. In macroscopic problem, the results are compared with COMSOL multiphysics software results and a good agreement between the results are shown. In microscopic problems, 3D Gaussian heat source is used and boundary conditions obey the Newton law. Comparisons show the efficiency of the current method, while the results are compared with existed literature. It is shown that: by adding one pin fin to the heat sink problem, temperature of the system will decrease. Numerical results are given and graphs of the temperature for various kinds of pin-fin heat sink problems are depicted.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O. Box 14115-134, Tehran, Iran

    Alaeddin Malek & Seyyed Mohammad Ali Shabani

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  1. Alaeddin Malek
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  2. Seyyed Mohammad Ali Shabani
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Correspondence to Alaeddin Malek.

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Communicated by Cristina Turner.

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Malek, A., Shabani, S.M.A. Solving macroscopic and microscopic pin-fin heat sink problems by adapted spectral method. Comp. Appl. Math. 37, 1112–1129 (2018). https://doi.org/10.1007/s40314-016-0386-9

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  • DOI: https://doi.org/10.1007/s40314-016-0386-9

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