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Lattice Boltzmann Approach To Viscous Flows Between Parallel Plates

Author

Listed:
  • BÉLA SZILÁGYI

    (Department of Theoretical and Computational Physics, University of Timişoara, Bd. Vasile Pârvan 4, R-1900 Timişoara, Romania)

  • ROMEO SUSAN-RESIGA

    (Department of Hydraulic Machinery, Technical University of Timişoara, Bd. Mihai Viteazul 1, R-1900 Timişoara, Romania)

  • VICTOR SOFONEA

    (Research Center for Hydrodynamics, Cavitation and Magnetic Fluids, Technical University of Timişoara, Bd. Mihai Viteazul 1, R-1900 Timişoara, Romania)

Abstract

Four different kinds of laminar flows between two parallel plates are investigated using the Lattice Boltzmann Method (LBM). The LBM accuracy is estimated in two cases using numerical fits of the parabolic velocity profiles and the kinetic energy decay curves, respectively. The error relative to the analytical kinematic viscosity values was found to be less than one percent in both cases. The LBM results for the unsteady development of the flow when one plate is brought suddenly at a constant velocity, are found in excellent agreement with the analytical solution. Because the classical Schlichting’s approximate solution for the entrance-region flow is not valid for small Reynolds numbers, a Finite Element Method solution was used in order to check the accuracy of the LBM results in this case.

Suggested Citation

  • Béla Szilágyi & Romeo Susan-Resiga & Victor Sofonea, 1995. "Lattice Boltzmann Approach To Viscous Flows Between Parallel Plates," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(03), pages 345-358.
    • Handle: RePEc:wsi:ijmpcx:v:06:y:1995:i:03:n:s0129183195000253
    DOI: 10.1142/S0129183195000253
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