Rapid granular flows down inclined planar chutes. Part 1. Steady flows, multiple solutions and existence domains

MJ Woodhouse, AJ Hogg, AA Sellar

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)

Abstract

The highly agitated flow of grains down an inclined chute is modelled using a kinetic theory for inelastic collisions. Solutions corresponding to steady, fully developed flows are obtained by solving numerically a nonlinear system of ordinary differential equations using a highly accurate pseudospectral method based on mapped Chebyshev polynomials. The solutions are characterized by introducing macroscopic, depth-integrated variables representing the mass flux of flowing material per unit width, its centre-of-mass and the mass supported within the flowing layer, and the influence of the controlling parameters on these solutions is investigated. It is shown that, in certain regions of parameter space, multiple steady solutions can be found for a specified mass flux of material. An asymptotic analysis of the governing equations, appropriate to highly agitated flows, is also developed and these results aid in the demarcation of domains in parameter space where steady solutions can be obtained.
Translated title of the contributionRapid granular flows down inclined planar chutes. Part 1. Steady flows, multiple solutions and existence domains
Original languageEnglish
Pages (from-to)427 - 460
Number of pages34
JournalJournal of Fluid Mechanics
Volume652
DOIs
Publication statusPublished - Jul 2010

Bibliographical note

Publisher: Cambridge University Press

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