SLIP ON CURVED BOUNDARIES IN THE LATTICE BOLTZMANN MODEL

Lajos Szalmás ()
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Lajos Szalmás: 3, Kastelykert Street, Hatvan 3000, Hungary

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 01, 15-24

Abstract: We present a new boundary condition in the lattice Boltzmann method to model slip flow alongcurvedboundaries. A requirement is formulated for the distribution functions based on the tunable momentum balance at the walls, which is shown to be equivalent to the constraint on the second moment. Numerical simulation of plane Couette flow in inclined channels and cylindrical Couette flow shows excellent agreement with the analytical results in the nearly continuum regime. Orientation effects on the velocity field are completely avoided.

Keywords: Lattice Boltzmann; slip-flow; microflows (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010358

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