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Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel

Miles Morgan, David James, Andrew Barron Orcid Logo, Bjornar Sandnes Orcid Logo

Physics of Fluids, Volume: 32, Issue: 11, Start page: 113309

Swansea University Authors: Miles Morgan, David James, Andrew Barron Orcid Logo, Bjornar Sandnes Orcid Logo

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DOI (Published version): 10.1063/5.0031155

Abstract

Confined fluid-driven granular flows are present in a plethora of natural and industrial settings, yet even the most fundamental of these is not completely understood. While widely studied grain flows such as bed load and density-matched Poiseuille flows have been observed to exhibit exponential and...

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Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: AIP Publishing 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55589
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spelling 2021-12-01T16:16:41.6059058 v2 55589 2020-11-03 Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel 74c1257d35ba8de6402ca451aab305a1 Miles Morgan Miles Morgan true false 31b39419835be9525450cf1420e63996 David James David James true false 92e452f20936d688d36f91c78574241d 0000-0002-2018-8288 Andrew Barron Andrew Barron true false 61c7c04b5c804d9402caf4881e85234b 0000-0002-4854-5857 Bjornar Sandnes Bjornar Sandnes true false 2020-11-03 CHEG Confined fluid-driven granular flows are present in a plethora of natural and industrial settings, yet even the most fundamental of these is not completely understood. While widely studied grain flows such as bed load and density-matched Poiseuille flows have been observed to exhibit exponential and Bingham style velocity profiles, respectively, this work finds that a fluid-driven bed of non-buoyant grains filling a narrow horizontal channel—confined both from the sides and above—exhibits self-similar Gaussian velocity profiles. As the imposed flow rate is increased and the grain velocity increases, the Gaussian flow profiles penetrate deeper into the packing of the channel. Filling fractions were observed to be also self-similar and qualitatively consistent with granular theory relating to the viscous number I, which at a given position on the self-similar Gaussian curve is found to be generally constant regardless of the imposed flow rate or velocity magnitude. An empirical description of the flow is proposed, and local velocity and filling fraction measurements were used to obtain the local grain flux and accurately recover a total grain flow rate. Journal Article Physics of Fluids 32 11 113309 AIP Publishing 1070-6631 1089-7666 12 11 2020 2020-11-12 10.1063/5.0031155 COLLEGE NANME Chemical Engineering COLLEGE CODE CHEG Swansea University 2021-12-01T16:16:41.6059058 2020-11-03T14:58:18.5289365 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Miles Morgan 1 David James 2 Andrew Barron 0000-0002-2018-8288 3 Bjornar Sandnes 0000-0002-4854-5857 4 55589__18580__d5fdd8cd4e4a435ea7f3829d140f479f.pdf 55589.pdf 2020-11-03T15:00:59.7542589 Output 3238382 application/pdf Accepted Manuscript true true eng
title Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
spellingShingle Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
Miles Morgan
David James
Andrew Barron
Bjornar Sandnes
title_short Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
title_full Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
title_fullStr Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
title_full_unstemmed Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
title_sort Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
author_id_str_mv 74c1257d35ba8de6402ca451aab305a1
31b39419835be9525450cf1420e63996
92e452f20936d688d36f91c78574241d
61c7c04b5c804d9402caf4881e85234b
author_id_fullname_str_mv 74c1257d35ba8de6402ca451aab305a1_***_Miles Morgan
31b39419835be9525450cf1420e63996_***_David James
92e452f20936d688d36f91c78574241d_***_Andrew Barron
61c7c04b5c804d9402caf4881e85234b_***_Bjornar Sandnes
author Miles Morgan
David James
Andrew Barron
Bjornar Sandnes
author2 Miles Morgan
David James
Andrew Barron
Bjornar Sandnes
format Journal article
container_title Physics of Fluids
container_volume 32
container_issue 11
container_start_page 113309
publishDate 2020
institution Swansea University
issn 1070-6631
1089-7666
doi_str_mv 10.1063/5.0031155
publisher AIP Publishing
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description Confined fluid-driven granular flows are present in a plethora of natural and industrial settings, yet even the most fundamental of these is not completely understood. While widely studied grain flows such as bed load and density-matched Poiseuille flows have been observed to exhibit exponential and Bingham style velocity profiles, respectively, this work finds that a fluid-driven bed of non-buoyant grains filling a narrow horizontal channel—confined both from the sides and above—exhibits self-similar Gaussian velocity profiles. As the imposed flow rate is increased and the grain velocity increases, the Gaussian flow profiles penetrate deeper into the packing of the channel. Filling fractions were observed to be also self-similar and qualitatively consistent with granular theory relating to the viscous number I, which at a given position on the self-similar Gaussian curve is found to be generally constant regardless of the imposed flow rate or velocity magnitude. An empirical description of the flow is proposed, and local velocity and filling fraction measurements were used to obtain the local grain flux and accurately recover a total grain flow rate.
published_date 2020-11-12T04:09:55Z
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score 11.012678

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