PMID: 15244556Jul 13, 2004Paper

Inherent rheology of a granular fluid in uniform shear flow

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Andrés SantosJ W Dufty

Abstract

In 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.

References

Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R RamirezP Cordero
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Alam, C M Hrenya
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Clelland, C M Hrenya
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·V Garzó, J W Dufty
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente Garzó

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Citations

Nov 4, 2015·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Patricio CorderoRodrigo Soto
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nathan W Mueggenburg
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrés Santos, Antonio Astillero
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antonio Astillero, Andrés Santos
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente Garzó
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kuniyasu Saitoh, Hisao Hayakawa
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente Garzó, Emmanuel Trizac
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antonio Astillero, Andrés Santos
Oct 4, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Javier BreyP Maynar
Aug 31, 2016·Physical Review. E·Satoshi TakadaHisao Hayakawa
Sep 19, 2020·Physical Review. E·Satoshi TakadaVicente Garzó
Sep 15, 2016·Physical Review. E·Kuniyasu Saitoh, Hideyuki Mizuno
May 16, 2018·Physical Review. E·Satoshi Takada, Hisao Hayakawa
Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rodrigo SotoRicardo Brito
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente Garzó, Emmanuel Trizac
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Moisés G ChamorroVicente Garzó
Jul 3, 2015·Soft Matter·Kuniyasu SaitohHisao Hayakawa
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Javier BreyF Moreno
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente GarzóJames W Dufty
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Javier BreyA Domínguez
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francisco Vega ReyesAndrés Santos
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente GarzóChristine M Hrenya
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicente Garzó, Francisco Vega Reyes
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·James F Lutsko
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nagi KhalilAndrés Santos
Mar 21, 2008·Physical Review Letters·Andrés Santos
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ricardo BritoRodrigo Soto
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Evgeniy Khain, Baruch Meerson
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Evgeniy Khain
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francisco Vega ReyesAndrés Santos
Apr 18, 2021·Physical Review. E·Satoshi TakadaAndrés Santos

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