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dc.contributor.author
Szidarovszky, Ferenc
dc.contributor.author
Hutter, Kolumban
dc.contributor.author
Yakowitz, Sydney
dc.date.accessioned
2021-06-15T06:57:28Z
dc.date.available
2021-05-31T08:12:15Z
dc.date.available
2021-06-15T06:57:28Z
dc.date.issued
1987-10
dc.identifier.issn
1097-0207
dc.identifier.issn
0029-5981
dc.identifier.other
10.1002/nme.1620241012
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/487517
dc.description.abstract
The granular flow model proposed by Jenkins and Savage and extended by us is used here to construct numerical solutions of steady chute flows thought to be typical of granular flow behaviour. We present the governing differential equations and discuss the boundary conditions for two flow cases: (i) a fully fluidized layer of granules moving steadily under rapid shear and (ii) a fluidized bottom-near bed covered by a rigid slab of gravel in steady motion under its own weight. The boundary value problem is transformed into a dimensionless form and the emerging system of non-linear ordinary differential equations is numerically integrated. Singularities at the free surface and (in one case) also at an unknown point inside the solution interval make the problem unusual. Since the non-dimensionalization is performed with the maximum particle concentration and the maximum velocity, which are both unknown, these two parameters also enter the formulation of the problem through algebraic equations. The two-point boundary value problem is solved with the aid of the shooting method by satisfying the boundary conditions at the end of the soluton interval and these normalizing conditions by means of a minimization procedure. We outline the numerical scheme and report selective numerical results. The computations are the first performed with the exact equations of the Jenkins–Savage model; they permit delineation of the conditions of applicability of the model and thus prove to be a useful tool for the granular flow modeller.
en_US
dc.language.iso
en
en_US
dc.publisher
Wiley
en_US
dc.title
A numerical study of steady plane granular chute flows using the Jenkins-Savage model and its extension
en_US
dc.type
Journal Article
ethz.journal.title
International Journal for Numerical Methods in Engineering
ethz.journal.volume
24
en_US
ethz.journal.issue
10
en_US
ethz.journal.abbreviated
Int. J. Numer. Meth. Engng
ethz.pages.start
1993
en_US
ethz.pages.end
2015
en_US
ethz.publication.place
Chichester
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02115 - Dep. Bau, Umwelt und Geomatik / Dep. of Civil, Env. and Geomatic Eng.::02611 - V. Wasserbau, Hydrologie u. Glaziologie / Lab. Hydraulics,Hydrology,Glaciology::09599 - Farinotti, Daniel / Farinotti, Daniel
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02115 - Dep. Bau, Umwelt und Geomatik / Dep. of Civil, Env. and Geomatic Eng.::02611 - V. Wasserbau, Hydrologie u. Glaziologie / Lab. Hydraulics,Hydrology,Glaciology::09599 - Farinotti, Daniel / Farinotti, Daniel
en_US
ethz.date.deposited
2021-05-31T08:12:23Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-06-15T06:57:35Z
ethz.rosetta.lastUpdated
2022-03-29T08:46:23Z
ethz.rosetta.versionExported
true
ethz.COinS
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