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Experimental investigation and kinetic-theory-based model of a rapid granular shear flow

Published online by Cambridge University Press:  25 April 2008

R. D. WILDMAN ,
T. W. MARTIN ,
J. M. HUNTLEY ,
J. T. JENKINS ,
H. VISWANATHAN ,
X. FEN  and
D. J. PARKER
R. D. WILDMAN
Affiliation:
School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK
T. W. MARTIN
Affiliation:
School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK
J. M. HUNTLEY
Affiliation:
School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK
J. T. JENKINS
Affiliation:
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853 USA
H. VISWANATHAN
Affiliation:
School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK
X. FEN
Affiliation:
School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
D. J. PARKER
Affiliation:
School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
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Abstract

An experimental investigation of an idealized rapidly sheared granular flow was performed to test the predictions of a model based on the kinetic theory of dry granular media. Glass ballotini beads were placed in an annular shear cell and the lower boundary rotated to induce a shearing motion in the bed. A single particle was tracked using the positron emission particle tracking (PEPT) technique, a method that determines the location of a particle through the triangulation of gamma photons emitted by a radioactive tracer particle. The packing fraction and velocity fields within the three-dimensional flow were measured and compared to the predictions of a model developed using the conservation and balance equations applicable to dissipative systems, and solved incorporating constitutive relations derived from kinetic theory. The comparison showed that kinetic theory is able to capture the general features of a rapid shear flow reasonably well over a wide range of shear rates and confining pressures.

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Type
Papers
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Journal of Fluid Mechanics , Volume 602 , 10 May 2008 , pp. 63 - 79
Copyright
Copyright © Cambridge University Press 2008

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