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On the role of the ambient fluid on gravitational granular flow dynamics

Published online by Cambridge University Press:  07 April 2010

C. MERUANE ,
A. TAMBURRINO  and
O. ROCHE
C. MERUANE*
Affiliation:
Departamento de Ingeniería Civil, Universidad de Chile, Blanco Encalada 2002, Casilla 228-3, Santiago, Chile Laboratoire Magmas et Volcans, UMR Unversité Blaise Pascal-CNRS-IRD, 5 rue Kessler, 63038 Clermont-Ferrand, France
A. TAMBURRINO
Affiliation:
Departamento de Ingeniería Civil, Universidad de Chile, Blanco Encalada 2002, Casilla 228-3, Santiago, Chile
O. ROCHE
Affiliation:
Laboratoire Magmas et Volcans, UMR Unversité Blaise Pascal-CNRS-IRD, 5 rue Kessler, 63038 Clermont-Ferrand, France
*
†Email address for correspondence: cmeruane@ing.uchile.cl
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Abstract

The effects of the ambient fluid on granular flow dynamics are poorly understood and commonly ignored in analyses. In this article, we characterize and quantify these effects by combining theoretical and experimental analyses. Starting with the mixture theory, we derive a set of two-phase continuum equations for studying a compressible granular flow composed of homogenous solid particles and a Newtonian ambient fluid. The role of the ambient fluid is then investigated by studying the collapse and spreading of two-dimensional granular columns in air or water, for different solid particle sizes and column aspect (height to length) ratios, in which the front speed is used to describe the flow. The combined analysis of experimental measurements and numerical solutions shows that the dynamics of the solid phase cannot be explained if the hydrodynamic fluid pressure and the drag interactions are not included in the analysis. For instance, hydrodynamic fluid pressure can hold the reduced weight of the solids, thus inducing a transition from dense-compacted to dense-suspended granular flows, whereas drag forces counteract the solids movement, especially within the near-wall viscous layer. We conclude that in order to obtain a realistic representation of gravitational granular flow dynamics, the ambient fluid cannot be neglected.

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Papers
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Journal of Fluid Mechanics , Volume 648 , 10 April 2010 , pp. 381 - 404
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Copyright © Cambridge University Press 2010

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