A LATTICE BOLTZMANN APPROACH FOR IMMISCIBLE FLUIDS WITH VERY DIFFERENT VISCOSITIES

Luciano Misici () and Silvia Palpacelli
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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

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 09, 1409-1435

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.

Keywords: Lattice Boltzmann method; immiscible fluids (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105008011

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