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Simulation of Magnetorheological Fluids Based on Lattice Boltzmann Method with Double Meshes

Author

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  • Xinhua Liu
  • Hao Liu
  • Yongzhi Liu

Abstract

In order to study the rheological characteristics of magnetorheological fluids, a novel approach based on the two‐component Lattice Boltzmann method with double meshes was proposed, and the micro‐scale structures of magnetorheological fluids in different strength magnetic fields were simulated. The framework composed of three steps for the simulation of magnetorheological fluids was addressed, and the double meshes method was elaborated. Moreover, the various internal and external forces acting on the magnetic particles were analyzed and calculated. The two‐component Lattice Boltzmann model was set up, and the flowchart for the simulation of magnetorheological fluids based on the two‐component Lattice Boltzmann method with double meshes was designed. Finally, a physics experiment was carried out, and the simulation examples were provided. The comparison results indicated that the proposed approach was feasible, efficient, and outperforming others.

Suggested Citation

  • Xinhua Liu & Hao Liu & Yongzhi Liu, 2012. "Simulation of Magnetorheological Fluids Based on Lattice Boltzmann Method with Double Meshes," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:567208
    DOI: 10.1155/2012/567208
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    References listed on IDEAS

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    1. C. Shu & X. D. Niu & Y. T. Chew, 2003. "Taylor Series Expansion And Least Squares-Based Lattice Boltzmann Method: Three-Dimensional Formulation And Its Applications," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 925-944.
    2. O. Filippova & D. Hänel, 1998. "Boundary-Fitting and Local Grid Refinement for Lattice-BGK Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1271-1279.
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    Cited by:

    1. M. Goodarzi & M. R. Safaei & A. Karimipour & K. Hooman & M. Dahari & S. N. Kazi & E. Sadeghinezhad, 2014. "Comparison of the Finite Volume and Lattice Boltzmann Methods for Solving Natural Convection Heat Transfer Problems inside Cavities and Enclosures," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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