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Effect of energy nonequipartition on the transport properties in a granular mixture

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Abstract

The Boltzmann kinetic theory is used to analyze the effect of energy nonequipartition on the pressure and the shear viscosity of a granular binary mixture under simple shear flow. Theory and Monte Carlo simulations show that both quantities exhibit a non−monotonic behaviour with the mass ratio in contrast to the predictions made from previous theories based on the equipartition assumption. Our results agree qualitatively well with recent molecular dynamics simulations performed by Alam and Luding [Granular Matter 4, 139 (2002)].

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References

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  8. Note that conventional theories deal with moderately dense fluids so that the solid fraction can play an important role in the dependence of the (reduced) pressure and (reduced) viscosity on the mass ratio. In this sense, it is possible that a consistent extension of our theory to dense gases also predicts a monotonic decay of p * and η* with μ when one takes energy equipartition

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Authors and Affiliations

  1. Departamento de Física, Universidad de Extremadura, E-06071, Badajoz, Spain

    Vicente Garzó

  2. Departamento de Electrónica e Ingeniería Electromecánica, Universidad de Extremadura, E-06071, Badajoz , Spain

    José María Montanero

Authors
  1. Vicente Garzó
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  2. José María Montanero
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Additional information

The authors acknowledge partial support from the MCYT (Spain) through Grants No. BFM2001-0718 and ESP2003-02859.

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Garzó, V., Montanero, J. Effect of energy nonequipartition on the transport properties in a granular mixture. GM 5, 165–168 (2003). https://doi.org/10.1007/s10035-003-0139-5

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  • DOI: https://doi.org/10.1007/s10035-003-0139-5

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