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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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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
Additional Information: Copyright of this article belongs to Progress Theoretical Physics Publications Office.
Department/Centre: Division of Mechanical Sciences > Chemical Engineering
Depositing User: Id for Latest eprints
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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