University of Illinois Urbana-Champaign

Gravity-induced segregation of cohesionless granular mixtures

Fried, Eliot; Roy, Bidhan C.

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https://hdl.handle.net/2142/273

Description

Title
Gravity-induced segregation of cohesionless granular mixtures
Author(s)
  • Fried, Eliot
  • Roy, Bidhan C.
Issue Date
2002-07
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 1005
ISSN
0073-5264
Type of Resource
text
Language
en
Permalink
http://hdl.handle.net/2142/273

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.