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Models for the two-phase flow of concentrated suspensions

Abstract:

A new two-phase model for concentrated suspensions is derived that incorporates a constitutive law combining the rheology for non-Brownian suspension and granular flow. The resulting model exhibits a yield-stress behaviour for the solid phase depending on the collision pressure. This property is investigated for the simple geometry of plane Poiseuille flow, where an unyielded or jammed zone of finite width arises in the centre of the channel. For the steady states of this problem, the govern...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1017/S095679251800030X

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Christ Church
ORCID:
0000-0002-8325-3809
Publisher:
Cambridge University Press Publisher's website
Journal:
European Journal of Applied Mathematics Journal website
Volume:
30
Issue:
3
Pages:
585-617
Publication date:
2018-06-04
Acceptance date:
2018-05-09
DOI:
EISSN:
1469-4425
ISSN:
0956-7925
Pubs id:
pubs:843712
URN:
uri:95b77730-2a9f-400a-a74d-94fc7c0f3ea1
UUID:
uuid:95b77730-2a9f-400a-a74d-94fc7c0f3ea1
Local pid:
pubs:843712

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