Hydraulic control of flow in a multi-passage system connecting two basins
When a fluid stream in a conduit splits in order to pass around an obstruction, it is possible that one branch will be critically controlled while the other remains not so. This is apparently the situation in Pacific Ocean abyssal circulation, where most of the northward flow of Antarctic bottom wat...
Published in: | Journal of Fluid Mechanics |
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Online Access: | http://dx.doi.org/10.1017/jfm.2022.212 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112022002129 |
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crcambridgeupr:10.1017/jfm.2022.212 2024-03-03T08:38:56+00:00 Hydraulic control of flow in a multi-passage system connecting two basins Tan, S. Pratt, L.J. Voet, G. Cusack, J.M. Helfrich, K.R. Alford, M.H. Girton, J.B. Carter, G.S. National Science Foundation National Science Foundation National Science Foundation National Science Foundation National Science Foundation National Science Foundation 2022 http://dx.doi.org/10.1017/jfm.2022.212 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112022002129 en eng Cambridge University Press (CUP) https://creativecommons.org/licenses/by/4.0/ Journal of Fluid Mechanics volume 940 ISSN 0022-1120 1469-7645 Mechanical Engineering Mechanics of Materials Condensed Matter Physics journal-article 2022 crcambridgeupr https://doi.org/10.1017/jfm.2022.212 2024-02-08T08:49:16Z When a fluid stream in a conduit splits in order to pass around an obstruction, it is possible that one branch will be critically controlled while the other remains not so. This is apparently the situation in Pacific Ocean abyssal circulation, where most of the northward flow of Antarctic bottom water passes through the Samoan Passage, where it is hydraulically controlled, while the remainder is diverted around the Manihiki Plateau and is not controlled. These observations raise a number of questions concerning the dynamics necessary to support such a regime in the steady state, the nature of upstream influence and the usefulness of rotating hydraulic theory to predict the partitioning of volume transport between the two paths, which assumes the controlled branch is inviscid. Through the use of a theory for constant potential vorticity flow and accompanying numerical model, we show that a steady-state regime similar to what is observed is dynamically possible provided that sufficient bottom friction is present in the uncontrolled branch. In this case, the upstream influence that typically exists for rotating channel flow is transformed into influence into how the flow is partitioned. As a result, the partitioning of volume flux can still be reasonably well predicted with an inviscid theory that exploits the lack of upstream influence. Article in Journal/Newspaper Antarc* Antarctic Cambridge University Press Antarctic Pacific Journal of Fluid Mechanics 940 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
spellingShingle |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics Tan, S. Pratt, L.J. Voet, G. Cusack, J.M. Helfrich, K.R. Alford, M.H. Girton, J.B. Carter, G.S. Hydraulic control of flow in a multi-passage system connecting two basins |
topic_facet |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
description |
When a fluid stream in a conduit splits in order to pass around an obstruction, it is possible that one branch will be critically controlled while the other remains not so. This is apparently the situation in Pacific Ocean abyssal circulation, where most of the northward flow of Antarctic bottom water passes through the Samoan Passage, where it is hydraulically controlled, while the remainder is diverted around the Manihiki Plateau and is not controlled. These observations raise a number of questions concerning the dynamics necessary to support such a regime in the steady state, the nature of upstream influence and the usefulness of rotating hydraulic theory to predict the partitioning of volume transport between the two paths, which assumes the controlled branch is inviscid. Through the use of a theory for constant potential vorticity flow and accompanying numerical model, we show that a steady-state regime similar to what is observed is dynamically possible provided that sufficient bottom friction is present in the uncontrolled branch. In this case, the upstream influence that typically exists for rotating channel flow is transformed into influence into how the flow is partitioned. As a result, the partitioning of volume flux can still be reasonably well predicted with an inviscid theory that exploits the lack of upstream influence. |
author2 |
National Science Foundation National Science Foundation National Science Foundation National Science Foundation National Science Foundation National Science Foundation |
format |
Article in Journal/Newspaper |
author |
Tan, S. Pratt, L.J. Voet, G. Cusack, J.M. Helfrich, K.R. Alford, M.H. Girton, J.B. Carter, G.S. |
author_facet |
Tan, S. Pratt, L.J. Voet, G. Cusack, J.M. Helfrich, K.R. Alford, M.H. Girton, J.B. Carter, G.S. |
author_sort |
Tan, S. |
title |
Hydraulic control of flow in a multi-passage system connecting two basins |
title_short |
Hydraulic control of flow in a multi-passage system connecting two basins |
title_full |
Hydraulic control of flow in a multi-passage system connecting two basins |
title_fullStr |
Hydraulic control of flow in a multi-passage system connecting two basins |
title_full_unstemmed |
Hydraulic control of flow in a multi-passage system connecting two basins |
title_sort |
hydraulic control of flow in a multi-passage system connecting two basins |
publisher |
Cambridge University Press (CUP) |
publishDate |
2022 |
url |
http://dx.doi.org/10.1017/jfm.2022.212 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112022002129 |
geographic |
Antarctic Pacific |
geographic_facet |
Antarctic Pacific |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_source |
Journal of Fluid Mechanics volume 940 ISSN 0022-1120 1469-7645 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.1017/jfm.2022.212 |
container_title |
Journal of Fluid Mechanics |
container_volume |
940 |
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1792494338689728512 |