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A Lattice Boltzmann Approach For Immiscible Fluids With Very Different Viscosities

Author

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  • LUCIANO MISICI

    (Dipartimento di Matematica e Informatica, Università di Camerino, Madonna delle Carceri, 62032 Camerino, Italy)

  • SILVIA PALPACELLI

    (Dipartimento di Matematica e Informatica, Università di Camerino, Madonna delle Carceri, 62032 Camerino, Italy)

Abstract

In this article, a lattice Boltzmann model for two immiscible fluids with same density but a large viscosity difference is developed. The effect of surface tension is included. An indicator function is used to model the interface motion and is updated by a lattice Boltzmann scheme. The macroscopic equation for this function is derived using multi-scale analysis. Numerical results are compared with theoretical and experimental ones for the problem of drop deformation under steady linear flows. A qualitative comparison with results given by a level contour reconstruction method for drop collision in three dimensions is also shown. Other numerical applications, such as flow past obstacles and a falling drop, are presented.

Suggested Citation

  • Luciano Misici & Silvia Palpacelli, 2005. "A Lattice Boltzmann Approach For Immiscible Fluids With Very Different Viscosities," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(09), pages 1409-1435.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:09:n:s0129183105008011
    DOI: 10.1142/S0129183105008011
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