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

Author

Listed:
  • 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)

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.

Suggested Citation

  • R. S. Samian & A. Abbassi & J. Ghazanfarian, 2014. "Transient conduction simulation of a nano-scale hotspot using finite volume lattice Boltzmann method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 1-15.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:04:n:s0129183113501039
    DOI: 10.1142/S0129183113501039
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