Inherent Rheology of a Granular Fluid in Uniform Shear Flow

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dc.creatorSantos, A.
dc.creatorGarzo, V.
dc.creatorDufty, J. W.
dc.date2003-09-12
dc.date2004-04-22
dc.date.accessioned2026-07-07T02:53:25Z
dc.date.available2026-07-07T02:53:25Z
dc.descriptionIn contrast to normal fluids, a granular fluid under shear supports a steady state with uniform temperature and density since the collisional cooling can compensate locally for viscous heating. It is shown that the hydrodynamic description of this steady state is inherently non-Newtonian. As a consequence, the Newtonian shear viscosity cannot be determined from experiments or simulation of uniform shear flow. For a given degree of inelasticity, the complete nonlinear dependence of the shear viscosity on the shear rate requires the analysis of the unsteady hydrodynamic behavior. The relationship to the Chapman-Enskog method to derive hydrodynamics is clarified using an approximate Grad's solution of the Boltzmann kinetic equation
dc.description10 pages, 4 figures; substantially enlarged version; to be published in PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0309320
dc.identifierhttp://arxiv.org/abs/cond-mat/0309320
dc.identifierPhys. Rev. E 69, 061303 (2004)
dc.identifierdoi:10.1103/PhysRevE.69.061303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22209
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleInherent Rheology of a Granular Fluid in Uniform Shear Flow
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