Transient conduction simulation of a nano-scale hotspot using finite volume lattice Boltzmann method

R. S. Samian (), A. Abbassi () and J. Ghazanfarian ()
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R. S. Samian: Mechanical Engineering Department, Amirkabir University of Technology, 424 Hafez Avenue, P.O. Box 15875-4413, Tehran, Iran
A. Abbassi: Mechanical Engineering Department, Amirkabir University of Technology, 424 Hafez Avenue, P.O. Box 15875-4413, Tehran, Iran
J. Ghazanfarian: Department of Mechanical Engineering, University of Zanjan, University Blvd. 45371-38791, Zanjan, Iran

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 04, 1-15

Abstract: This paper uses the finite volume lattice Boltzmann method (FVLBM) to simulate the transient heat conduction from macro- to nano-scales corresponding to Kn = 0.01–10. This model is used for two dimensional (2D) transient hotspot modeling. The results of the diffusive regime are compared with those of the Fourier law as a model of continuum mechanics and an excellent agreement is found in this regime. After the validation of model for the case of Kn = 0.01, it has been used for high-Knudsen number simulations and a test case with Kn = 10 is studied. By increasing the Knudsen number from 0.01 up to 10, the transition from totally diffusive to totally ballistic behavior has been discussed and the wave-feature of heat transport through the solid material has been investigated.

Keywords: Boltzmann transport equation; nanoscale; conduction; finite volume; hotspot; 66.70.-f; 44.05.+e; 44.10.+i (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183113501039

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