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Granular Gases: Probing the Boundaries of Hydrodynamics

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Book cover Granular Gases

Part of the book series: Lecture Notes in Physics ((LNP,volume 564))

Abstract

The dissipative nature of the particle interactions in granular systems renders granular gases mesoscopic and bearing some similarities to regular gases in the “continuum transition regime” (where shear rates and/or thermalgradien ts are very large). The following properties of granular gases support the above claim: (i) Mean free times are of the same order as macroscopic time scales. (ii) Mean free paths can be macroscopic and comparable to the system’s dimensions. (iii) Typical flows are supersonic. (iv) Shear rates are typically “large”. (v) Stress fields are scale (resolution) dependent. (vi) Burnett and super-Burnett corrections to both the constitutive relations and the boundary conditions are of importance. It is concluded that while hydrodynamic descriptions of granular gases are relevant, they are probing the boundaries of applicability of hydrodynamics and perhaps slightly beyond.

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Authors and Affiliations

  1. Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel-Aviv University, 69978, Tel-Aviv, Ramat-Aviv, Israel

    Isaac Goldhirsch

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  1. Isaac Goldhirsch
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  1. Charité,Institut für Biochemie, Humboldt-Universität zu Berlin, Monbijoustrasse 2, 10117, Berlin, Germany

    Thorsten Pöschel

  2. Institut für Computeranwendungen Abt. I Physik, Universiät Stuttgart, Pfaffenwaldring 27, 70569, Stuttgart, Germany

    Stefan Luding

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Goldhirsch, I. (2001). Granular Gases: Probing the Boundaries of Hydrodynamics. In: Pöschel, T., Luding, S. (eds) Granular Gases. Lecture Notes in Physics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44506-4_4

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  • DOI: https://doi.org/10.1007/3-540-44506-4_4

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  • Print ISBN: 978-3-540-41458-2

  • Online ISBN: 978-3-540-44506-7

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