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Particle Technology and Fluidization
Revisiting Johnson and Jackson boundary conditions for granular flows†
Article first published online: 2 AUG 2011
DOI: 10.1002/aic.12728
Copyright © 2011 American Institute of Chemical Engineers (AIChE)
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How to Cite
Li, T. and Benyahia, S. (2012), Revisiting Johnson and Jackson boundary conditions for granular flows. AIChE J., 58: 2058–2068. doi: 10.1002/aic.12728
- †
Publication History
- Issue published online: 7 JUN 2012
- Article first published online: 2 AUG 2011
- Accepted manuscript online: 7 JUL 2011 09:48AM EST
Funded by
- RES. Grant Number: DE-FE0004000
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Keywords:
- granular flow;
- boundary condition;
- two-fluid model;
- rigid-body theory;
- specularity coefficient
Abstract
In this article, we revisit Johnson and Jackson boundary conditions for granular flows. The oblique collision between a particle and a flat wall is analyzed by adopting the classic rigid-body theory and a more realistic semianalytical model. Based on the kinetic granular theory, the input parameter for the partial-slip boundary conditions, specularity coefficient, which is not measurable in experiments, is then interpreted as a function of the particle-wall restitution coefficient, the frictional coefficient, and the normalized slip velocity at the wall. An analytical expression for the specularity coefficient is suggested for a flat, frictional surface with a low frictional coefficient. The procedure for determining the specularity coefficient for a more general problem is outlined, and a working approximation is provided. Published 2011 American Institute of Chemical Engineers, 2012