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Subdiffusion model for granular discharge in a submerged silo

Miles Morgan, David William James Orcid Logo, Martin Monloubou, Kristian S. Olsen, Bjornar Sandnes Orcid Logo

Physical Review E, Volume: 104, Issue: 4

Swansea University Authors: Miles Morgan, David William James Orcid Logo, Martin Monloubou, Bjornar Sandnes Orcid Logo

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DOI (Published version): 10.1103/physreve.104.044908

Abstract

Silo discharge has been extensively studied for decades although questions remain regarding the nature of the velocity eld, particularly for submerged systems. In this work, uid-driven granular drainage was performed in a quasi-2D silo with grains submerged in uid. While the observed Gaussian veloci...

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Published in: Physical Review E
ISSN: 2470-0045 2470-0053
Published: American Physical Society (APS) 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa58506
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spelling 2022-10-31T17:36:52.1248868 v2 58506 2021-10-28 Subdiffusion model for granular discharge in a submerged silo 74c1257d35ba8de6402ca451aab305a1 Miles Morgan Miles Morgan true false f01226e7bc38b22b9593e27545f674b4 NULL David William James David William James true true 9d56cd10159018298d51d6a757c2f66e Martin Monloubou Martin Monloubou true false 61c7c04b5c804d9402caf4881e85234b 0000-0002-4854-5857 Bjornar Sandnes Bjornar Sandnes true false 2021-10-28 CHEG Silo discharge has been extensively studied for decades although questions remain regarding the nature of the velocity eld, particularly for submerged systems. In this work, uid-driven granular drainage was performed in a quasi-2D silo with grains submerged in uid. While the observed Gaussian velocity proles were generally consistent with current diffusion models, the diffusion length was found to signicantly decrease with height in contrast to the increases previously seen in dry silos. We propose a new phenomenological anomalous diffusion model for the spreading of the flow upwards in the cell, with the uid-driven flows we study here falling in the category of subdiffusive behaviour. As the viscous characteristics of the system were amplied, the diffusion length increased and the shape of the owing zone in the silo changed, deviating further from the parabolic form predicted by traditional normal diffusion models, in effect becoming more subdiffusive as quantied by a decreasing diffusion exponent. Journal Article Physical Review E 104 4 American Physical Society (APS) 2470-0045 2470-0053 21 10 2021 2021-10-21 10.1103/physreve.104.044908 COLLEGE NANME Chemical Engineering COLLEGE CODE CHEG Swansea University This work was supported by the Engineering and Physical Sciences Research Council EPSRC Grant No. EP/S034587/1. K.S.O. acknowledges support from the Research Council of Norway through the Center of Excellence funding scheme, Project No. 262644 (PoreLab). 2022-10-31T17:36:52.1248868 2021-10-28T15:42:06.2725256 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Miles Morgan 1 David William James NULL 2 Martin Monloubou 3 Kristian S. Olsen 4 Bjornar Sandnes 0000-0002-4854-5857 5 58506__21352__000f2fae228c4a269e2557dae19154aa.pdf 58506.pdf 2021-10-28T15:46:16.9460732 Output 3325848 application/pdf Accepted Manuscript true true eng
title Subdiffusion model for granular discharge in a submerged silo
spellingShingle Subdiffusion model for granular discharge in a submerged silo
Miles Morgan
David William James
Martin Monloubou
Bjornar Sandnes
title_short Subdiffusion model for granular discharge in a submerged silo
title_full Subdiffusion model for granular discharge in a submerged silo
title_fullStr Subdiffusion model for granular discharge in a submerged silo
title_full_unstemmed Subdiffusion model for granular discharge in a submerged silo
title_sort Subdiffusion model for granular discharge in a submerged silo
author_id_str_mv 74c1257d35ba8de6402ca451aab305a1
f01226e7bc38b22b9593e27545f674b4
9d56cd10159018298d51d6a757c2f66e
61c7c04b5c804d9402caf4881e85234b
author_id_fullname_str_mv 74c1257d35ba8de6402ca451aab305a1_***_Miles Morgan
f01226e7bc38b22b9593e27545f674b4_***_David William James
9d56cd10159018298d51d6a757c2f66e_***_Martin Monloubou
61c7c04b5c804d9402caf4881e85234b_***_Bjornar Sandnes
author Miles Morgan
David William James
Martin Monloubou
Bjornar Sandnes
author2 Miles Morgan
David William James
Martin Monloubou
Kristian S. Olsen
Bjornar Sandnes
format Journal article
container_title Physical Review E
container_volume 104
container_issue 4
publishDate 2021
institution Swansea University
issn 2470-0045
2470-0053
doi_str_mv 10.1103/physreve.104.044908
publisher American Physical Society (APS)
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 Silo discharge has been extensively studied for decades although questions remain regarding the nature of the velocity eld, particularly for submerged systems. In this work, uid-driven granular drainage was performed in a quasi-2D silo with grains submerged in uid. While the observed Gaussian velocity proles were generally consistent with current diffusion models, the diffusion length was found to signicantly decrease with height in contrast to the increases previously seen in dry silos. We propose a new phenomenological anomalous diffusion model for the spreading of the flow upwards in the cell, with the uid-driven flows we study here falling in the category of subdiffusive behaviour. As the viscous characteristics of the system were amplied, the diffusion length increased and the shape of the owing zone in the silo changed, deviating further from the parabolic form predicted by traditional normal diffusion models, in effect becoming more subdiffusive as quantied by a decreasing diffusion exponent.
published_date 2021-10-21T04:15:05Z
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