Hydrodynamics of granular gases of viscoelastic particles

Brilliantov N, Pöschel T (2002)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2002

Journal

Publisher: Royal Society, The

Book Volume: 360

Pages Range: 415-428

Journal Issue: 1792

DOI: 10.1098/rsta.2001.0940

Abstract

Our study examines the long-time behaviour of a force-free granular gas of viscoelastic particles, for which the coefficient of restitution depends on the impact velocity, as it follows from the solution of the impact problem for viscoelastic spheres. Starting from the Boltzmann equation, we derived the hydrodynamic equations and obtained microscopic expressions for the transport coefficients in terms of the elastic and dissipative parameters of the particle material. We performed the stability analysis of the linearized set of equations and found that any inhomogeneities and vortices vanish after a long time and the system approaches the flow-free stage of homogeneous density. This behaviour is in contrast to that of a gas consisting of particles which interact via a (non-realistic) constant coefficient of restitution, for which inhomogeneities (clusters) and vortex patterns have been proven to arise and to continuously develop.

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APA:

Brilliantov, N., & Pöschel, T. (2002). Hydrodynamics of granular gases of viscoelastic particles. Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 360(1792), 415-428. https://dx.doi.org/10.1098/rsta.2001.0940

MLA:

Brilliantov, Nikolai, and Thorsten Pöschel. "Hydrodynamics of granular gases of viscoelastic particles." Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 360.1792 (2002): 415-428.

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