Simple Shear Flow of Collisional Granular-Fluid Mixtures
Publication: Journal of Hydraulic Engineering
Volume 139, Issue 5
Abstract
This work deals with the simple shear flow of neutrally buoyant, rigid, frictionless spheres immersed in a viscous fluid that exchange momentum through inelastic collisions. It is shown how kinetic theories are able to provide a full analytical description of the flow, once the influence of the viscous fluid is taken into account in a simple way through the dependence of the collisional coefficient of restitution on the Stokes number. This allows the capture of the characteristics of the experiments performed by Bagnold 60 years ago and the interpretation of the macroviscous and inertial regimes described by the same author as the limits for the coefficient of restitution equal to zero and to the value valid in absence of the viscous fluid, respectively.
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Published In
Journal of Hydraulic Engineering
Volume 139 • Issue 5 • May 2013
Pages: 547 - 549
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 4, 2012
Accepted: Nov 8, 2012
Published online: Nov 10, 2012
Published in print: May 1, 2013
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