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Grain size reduction in granular flows of spheres - The effects of critical impact energyMethods employed to derive recent kinetic theories for rapid noncomminuting granular flows are extended to homogeneous flows in which a fraction of the repeated collisions produce tiny fractures on the particles' peripheries and gradually reduce their effective diameters. The theory consists of balance equations for mass, momentum, and energy, as well as constitutive relations for the presence tensor and collisional rates of mass and energy lost. The work of Richman and Chou (1989) is improved by incorporating into the constitutive theory the critical impact energy below which no mass loss occurs in a binary collision. The theory is applied to granular shear flows and, for fixed shear rates, predicts the time variations of the solid fraction granular temperature, and induced stresses, as well as their extreme sensitivities to small changes in the critical impact energy.
Document ID
19920062055
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Richman, M. W.
(Worcester Polytechnic Institute, MA, United States)
Oyediran, A. A.
(NASA Marshall Space Flight Center Huntsville, AL, United States)
Date Acquired
August 15, 2013
Publication Date
June 1, 1992
Publication Information
Publication: ASME, Transactions, Journal of Applied Mechanics
Volume: 59
Issue: 2 pt
ISSN: 0021-8936
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
ASME PAPER 91-WA/APM-20
Accession Number
92A44679
Funding Number(s)
CONTRACT_GRANT: NSF MSM-87-07911
Distribution Limits
Public
Copyright
Other

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