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A Two-Fluid Bgk Lattice Boltzmann Model For Ideal Mixtures

Author

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  • CARLOS ENRIQUE PICO

    (Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil)

  • LUÍS ORLANDO EMERICH DOS SANTOS

    (Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil)

  • PAULO CESAR PHILIPPI

    (Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil)

Abstract

In the present work, a lattice Boltzmann model for binary mixtures is formally derived from a two-fluid kinetic model of Maxwell molecules by discretizing the Boltzmann equation. In this model, collisions among the same and different species are treated separately, as non-linear BGK terms, enabling the independent management of the fluid viscosities and the binary diffusion coefficient. The velocity space is discretized, in accordance with a quadrature method based on prescribed abscissas. A Chapman-Enskog analysis is performed for deriving the macroscopic mass and momentum transport equations. The model is verified against theoretical solutions for the concentration and velocity step problems.

Suggested Citation

  • Carlos Enrique Pico & Luís Orlando Emerich Dos Santos & Paulo Cesar Philippi, 2007. "A Two-Fluid Bgk Lattice Boltzmann Model For Ideal Mixtures," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 566-575.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:04:n:s0129183107010802
    DOI: 10.1142/S0129183107010802
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    1. Holmes, Leslie, 1995. "The Decline of Communism in China: Legitimacy Crisis, 1977–1989. By X. L. Ding. New York: Cambridge University Press, 1994. 230p. $49.95," American Political Science Review, Cambridge University Press, vol. 89(2), pages 508-509, June.
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