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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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    1. Ghassan Al-Utaibi, Ph.D, 2013. "Predicting Future Health Demands in Jordan," International Journal of Business and Social Research, MIR Center for Socio-Economic Research, vol. 3(7), pages 130-136, July.
    2. Ocde, 2013. "Documents et textes juridiques," Bulletin de droit nucléaire, Éditions OCDE, vol. 2012(2), pages 179-274.
    3. Unknown, 2013. "JAAE backmatter," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 45(2), pages 1-2, May.
    4. ., 2013. "The Japanese construction sector," Chapters, in: Cartels, Competition and Public Procurement, chapter 10, pages 178-211, Edward Elgar Publishing.
    5. AfDB AfDB, . "African Statistical Journal Vol.16," African Statistical Journal, African Development Bank, number 455.
    6. Unknown, 2013. "JAAE Manuscript Submission Guidelines," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 45, pages 1-2, August.
    7. Rachel E. S. Ziemba & William T. Ziemba, 2013. "The January Barometer," World Scientific Book Chapters, in: Investing in the Modern Age, chapter 16, pages 191-203, World Scientific Publishing Co. Pte. Ltd..
    8. van Damme, E.E.C., 2013. "Deugdelijke economen," Other publications TiSEM 15ce252a-21e4-411e-9702-4, Tilburg University, School of Economics and Management.
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