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International Heat Transfer Conference 9

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

THERMAL CONDUCTIVITY OF GRANULAR FLOWS

M. L. Hunt
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, California

S. S. Hsiau
Division of Engineering and Applied Science California Institute of Technology, Pasadena, CA 91125, USA

Abstract

The thermal conductivity of granular material flows is composed of two components: a configurational component dependent on the molecular conductivities of the gaseous and solid phases, and a dynamic component dependent on the velocity of the medium as well as the thermal properties and solid fraction. The present work focuses on developing analytic relations for the dynamic component using methods from gas kinetic theory. Using this approach, the analysis includes the local particle movements that are caused by particle collisions. In a non-isothermal flow, the local particle convection enhances the overall rate of energy transfer. The analytic results indicate that for small Biot-Fourier numbers, the dynamic conductivity depends on the square-root of the granular temperature, a term used to quantify the magnitude of the local particle motions. The results also compare well with existing experimental data for the thermal conductivity of a granular shear flow.

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