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Velocity Autocorrelations and Viscosity Renormalization in Sheared Granular Flows

Kumaran, V (2006) Velocity Autocorrelations and Viscosity Renormalization in Sheared Granular Flows. In: Physical Review Letters, 96 (25). 258002-1 -258002-4.

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Abstract

The decay of the velocity autocorrelation function in a sheared granular flow is analyzed in the limit where the wavelength of fluctuations is larger than the "conduction length," so that energy is a nonconserved variable. The decay of the velocity autocorrelation function is much faster than that in a fluid at equilibrium for which energy is a conserved variable. Specifically, the autocorrelation function in a sheared granular flow decays proportional to t(-3) in 2D and t(-9/2) in 3D, in contrast with the decay proportional to t(-1) in 2D and t(-3/2) in 3D for a fluid at equilibrium. The renormalization of the viscosity due to mode coupling is evaluated using this form of the decay of the autocorrelation function. It is found that the logarithmic divergence in the viscosity in 2D, and the divergence of the Burnett coefficients in 3D, which is characteristic of a fluid of elastic particles at equilibrium, is absent in a sheared granular flow.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Mechanical Sciences > Chemical Engineering
Date Deposited: 13 Apr 2009 09:25
Last Modified: 19 Sep 2010 04:58
URI: http://eprints.iisc.ernet.in/id/eprint/17885

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