Correlations and the Ring-Kinetic Equation in Dense Sheared Granular Flows

Kumaran, V (2010) Correlations and the Ring-Kinetic Equation in Dense Sheared Granular Flows. In: Progress of Theoretical Physics - Supplement (184). pp. 88-99.

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Abstract

A formal way of deriving fluctuation-correlation relations in dense sheared granular media, starting with the Enskog approximation for the collision integral in the Chapman-Enskog theory, is discussed. The correlation correction to the viscosity is obtained using the ring-kinetic equation, in terms of the correlations in the hydrodynamic modes of the linearised Enskog equation. It is shown that the Green-Kubo formula for the shear viscosity emerges from the two-body correlation function obtained from the ring-kinetic equation.

Item Type:	Journal Article
Publication:	Progress of Theoretical Physics - Supplement
Publisher:	Progress Theoretical Physics Publications Office
Additional Information:	Copyright of this article belongs to Progress Theoretical Physics Publications Office.
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering
Date Deposited:	23 Aug 2010 09:42
Last Modified:	19 Sep 2010 06:14
URI:	http://eprints.iisc.ac.in/id/eprint/31481

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