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Weakly Frictional Granular Gases

In: Traffic and Granular Flow ’03

Author

Listed:
  • I. Goldhirsch

    (Tel-Aviv University, Dept. Fluid Mechanics and Heat Transfer, Faculty of Engineering)

  • S.H. Noskowicz

    (Tel-Aviv University, Dept. Fluid Mechanics and Heat Transfer, Faculty of Engineering)

  • O. Bar-Lev

    (Tel-Aviv University, School of Mathematics)

Abstract

Summary Hydrodynamic equations of motion for a monodisperse collection of weakly frictional spheres have been derived from the corresponding Boltzmann equation, using a Chapman-Enskog expansion around the elastic smooth spheres limit. The hydrodynamic fields required in this case are: the velocity field, V(r, t), the translational granular temperature, T(r, t), and the (infinite) set of number densities, n(s, r, t), corresponding the continuum of values of the spin, s. An immediate consequence of these equations is that the asymptotic spin distribution in the homogeneous cooling state for nearly smooth, nearly elastic spheres, is highly non- Maxwellian.

Suggested Citation

  • I. Goldhirsch & S.H. Noskowicz & O. Bar-Lev, 2005. "Weakly Frictional Granular Gases," Springer Books, in: Serge P. Hoogendoorn & Stefan Luding & Piet H. L. Bovy & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’03, pages 459-473, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-28091-0_46
    DOI: 10.1007/3-540-28091-X_46
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