Shear dispersion in dense granular flows

Ivan C. Christov; Howard A. Stone

doi:10.1007/s10035-014-0498-0

Shear dispersion in dense granular flows

Ivan C. Christov, Howard A. Stone

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We formulate and solve a model problem of dispersion of dense granular materials in rapid shear flow down an incline. The effective dispersivity of the depth-averaged concentration of the dispersing powder is shown to vary as the Péclet number squared, as in classical Taylor-Aris dispersion of molecular solutes. An extension to generic shear profiles is presented, and possible applications to industrial and geological granular flows are noted.

Original language	English (US)
Pages (from-to)	509-515
Number of pages	7
Journal	Granular Matter
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s10035-014-0498-0
State	Published - Aug 2014

All Science Journal Classification (ASJC) codes

General Materials Science
Mechanics of Materials
General Physics and Astronomy

Keywords

Bagnold profile
Granular diffusion
Rapid granular flow
Taylor-Aris dispersion

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10.1007/s10035-014-0498-0

Cite this

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title = "Shear dispersion in dense granular flows",

abstract = "We formulate and solve a model problem of dispersion of dense granular materials in rapid shear flow down an incline. The effective dispersivity of the depth-averaged concentration of the dispersing powder is shown to vary as the P{\'e}clet number squared, as in classical Taylor-Aris dispersion of molecular solutes. An extension to generic shear profiles is presented, and possible applications to industrial and geological granular flows are noted.",

keywords = "Bagnold profile, Granular diffusion, Rapid granular flow, Taylor-Aris dispersion",

author = "Christov, {Ivan C.} and Stone, {Howard A.}",

note = "Funding Information: I.C.C. was supported by the National Science Foundation (NSF) under Grant No. DMS-1104047 (at Princeton University) and by the LANL/LDRD Program through a Feynman Distinguished Fellowship (at Los Alamos National Laboratory). LANL is operated by Los Alamos National Security, L.L.C. for the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA25396. H.A.S. thanks the NSF for support via Grant No. CBET-1234500. We acknowledge useful discussions with Ian Griffiths and Gregory Rubinstein on the derivation of the dispersion equations for the case of non-constant diffusivity, and we thank Ben Glasser for helpful conversations. ",

year = "2014",

month = aug,

doi = "10.1007/s10035-014-0498-0",

language = "English (US)",

volume = "16",

pages = "509--515",

journal = "Granular Matter",

issn = "1434-5021",

publisher = "Springer New York",

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TY - JOUR

T1 - Shear dispersion in dense granular flows

AU - Christov, Ivan C.

AU - Stone, Howard A.

N1 - Funding Information: I.C.C. was supported by the National Science Foundation (NSF) under Grant No. DMS-1104047 (at Princeton University) and by the LANL/LDRD Program through a Feynman Distinguished Fellowship (at Los Alamos National Laboratory). LANL is operated by Los Alamos National Security, L.L.C. for the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA25396. H.A.S. thanks the NSF for support via Grant No. CBET-1234500. We acknowledge useful discussions with Ian Griffiths and Gregory Rubinstein on the derivation of the dispersion equations for the case of non-constant diffusivity, and we thank Ben Glasser for helpful conversations.

PY - 2014/8

Y1 - 2014/8

N2 - We formulate and solve a model problem of dispersion of dense granular materials in rapid shear flow down an incline. The effective dispersivity of the depth-averaged concentration of the dispersing powder is shown to vary as the Péclet number squared, as in classical Taylor-Aris dispersion of molecular solutes. An extension to generic shear profiles is presented, and possible applications to industrial and geological granular flows are noted.

AB - We formulate and solve a model problem of dispersion of dense granular materials in rapid shear flow down an incline. The effective dispersivity of the depth-averaged concentration of the dispersing powder is shown to vary as the Péclet number squared, as in classical Taylor-Aris dispersion of molecular solutes. An extension to generic shear profiles is presented, and possible applications to industrial and geological granular flows are noted.

KW - Bagnold profile

KW - Granular diffusion

KW - Rapid granular flow

KW - Taylor-Aris dispersion

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U2 - 10.1007/s10035-014-0498-0

DO - 10.1007/s10035-014-0498-0

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SN - 1434-5021

VL - 16

SP - 509

EP - 515

JO - Granular Matter

JF - Granular Matter

IS - 4

ER -

Shear dispersion in dense granular flows

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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