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Gravity-induced segregation of cohesionless granular mixtures

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Title: Gravity-induced segregation of cohesionless granular mixtures
Author(s): Fried, Eliot; Roy, Bidhan C.
Subject(s): constitutive theory smart materials experimental fluid mechanics granular materials particulate flows phase transitions biological mechanics
Abstract: Working with the context of a theory proposed recently by Fried et al. (2001), we consider a one-dimensional problem involving granular mixture of K > 2 discrete sizes bounded below by an impermeable base, above by an evolving free surface, and subject to gravity. We demonstrate the existence of a solution in which the medium segregates by particle size. For a mixture of small and large particles (K = 2), we use methods of Smoller (1994) to show that the segregated solution is unique. Further, for a mixture of small, medium, and large particles (K = 3), we use LeVeque's (1994) CLAWPACK to construct numerical solutions and find that these compare favorably with analytical predictions.
Issue Date: 2002-07
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1005
Genre: Technical ReportBook Chapter
Type: Text
Language: English
URI: http://hdl.handle.net/2142/273
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-08
Is Version Of: Published as: Eliot Fried and Bidhan C. Roy. Gravity-induced segregation of cohesionless granular mixtures. Lecture Notes in Applied and Computational Mechanics, 11, 393-421 (2003). Copyright 2003 Springer Berlin / Heidelberg.
 

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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