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Numerical Simulation Of Isothermal Micro Flows By Lattice Boltzmann Method And Theoretical Analysis Of The Diffuse Scattering Boundary Condition

Author

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  • X. D. NIU

    (Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore)

  • C. SHU

    (Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore)

  • Y. T. CHEW

    (Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore)

Abstract

A Lattice Boltzmann model for simulating micro flows has been proposed by us recently (Europhysics Letters,67(4), 600–606 (2004)). In this paper, we will present a further theoretical and numerical validation of the model. In this regards, a theoretical analysis of the diffuse-scattering boundary condition for a simple flow is carried out and the result is consistent with the conventional slip velocity boundary condition. Numerical validation is highlighted by simulating the two-dimensional isothermal pressure-driven micro-channel flows and the thin-film gas bearing lubrication problems, and comparing the simulation results with available experimental data and analytical predictions.

Suggested Citation

  • X. D. Niu & C. Shu & Y. T. Chew, 2005. "Numerical Simulation Of Isothermal Micro Flows By Lattice Boltzmann Method And Theoretical Analysis Of The Diffuse Scattering Boundary Condition," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(12), pages 1927-1941.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:12:n:s0129183105008448
    DOI: 10.1142/S0129183105008448
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    Cited by:

    1. Zarei, Amir & Karimipour, Arash & Meghdadi Isfahani, Amir Homayoon & Tian, Zhe, 2019. "Improve the performance of lattice Boltzmann method for a porous nanoscale transient flow by provide a new modified relaxation time equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

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