Dynamics of a viscous layer flowing radially over an inviscid ocean
Abstract We present a theoretical and experimental study of a viscous fluid layer spreading over a deep layer of denser, inviscid fluid. Specifically, we study an axisymmetric flow produced by a vertical line source. Close to the source, the flow is controlled viscously, with a balance between radia...
Published in: | Journal of Fluid Mechanics |
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Language: | English |
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Cambridge University Press (CUP)
2012
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Online Access: | http://dx.doi.org/10.1017/jfm.2012.21 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112012000213 |
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crcambridgeupr:10.1017/jfm.2012.21 2024-04-07T07:48:11+00:00 Dynamics of a viscous layer flowing radially over an inviscid ocean Pegler, Samuel S. Worster, M. Grae 2012 http://dx.doi.org/10.1017/jfm.2012.21 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112012000213 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 696, page 152-174 ISSN 0022-1120 1469-7645 Mechanical Engineering Mechanics of Materials Condensed Matter Physics journal-article 2012 crcambridgeupr https://doi.org/10.1017/jfm.2012.21 2024-03-08T00:35:52Z Abstract We present a theoretical and experimental study of a viscous fluid layer spreading over a deep layer of denser, inviscid fluid. Specifically, we study an axisymmetric flow produced by a vertical line source. Close to the source, the flow is controlled viscously, with a balance between radial compressive stresses and hoop stresses. Further out, the flow is driven by gradients in the buoyancy force and is resisted by viscous extensional and hoop stresses. An understanding of these different fluid-mechanical relationships is developed by asymptotic analyses for early times and for the near and far fields at late times. Confirmation of the late-time, far-field behaviour is obtained from a series of laboratory experiments in which golden syrup was injected into denser solutions of potassium carbonate. We use our mathematical solutions to discuss a physical mechanism by which horizontal viscous stresses in a spreading ice shelf, such as those in West Antarctica, can buttress the grounded ice sheet that supplies it. Article in Journal/Newspaper Antarc* Antarctica Ice Sheet Ice Shelf West Antarctica Cambridge University Press West Antarctica Buttress ENVELOPE(-57.083,-57.083,-63.550,-63.550) Journal of Fluid Mechanics 696 152 174 |
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 Pegler, Samuel S. Worster, M. Grae Dynamics of a viscous layer flowing radially over an inviscid ocean |
topic_facet |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
description |
Abstract We present a theoretical and experimental study of a viscous fluid layer spreading over a deep layer of denser, inviscid fluid. Specifically, we study an axisymmetric flow produced by a vertical line source. Close to the source, the flow is controlled viscously, with a balance between radial compressive stresses and hoop stresses. Further out, the flow is driven by gradients in the buoyancy force and is resisted by viscous extensional and hoop stresses. An understanding of these different fluid-mechanical relationships is developed by asymptotic analyses for early times and for the near and far fields at late times. Confirmation of the late-time, far-field behaviour is obtained from a series of laboratory experiments in which golden syrup was injected into denser solutions of potassium carbonate. We use our mathematical solutions to discuss a physical mechanism by which horizontal viscous stresses in a spreading ice shelf, such as those in West Antarctica, can buttress the grounded ice sheet that supplies it. |
format |
Article in Journal/Newspaper |
author |
Pegler, Samuel S. Worster, M. Grae |
author_facet |
Pegler, Samuel S. Worster, M. Grae |
author_sort |
Pegler, Samuel S. |
title |
Dynamics of a viscous layer flowing radially over an inviscid ocean |
title_short |
Dynamics of a viscous layer flowing radially over an inviscid ocean |
title_full |
Dynamics of a viscous layer flowing radially over an inviscid ocean |
title_fullStr |
Dynamics of a viscous layer flowing radially over an inviscid ocean |
title_full_unstemmed |
Dynamics of a viscous layer flowing radially over an inviscid ocean |
title_sort |
dynamics of a viscous layer flowing radially over an inviscid ocean |
publisher |
Cambridge University Press (CUP) |
publishDate |
2012 |
url |
http://dx.doi.org/10.1017/jfm.2012.21 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112012000213 |
long_lat |
ENVELOPE(-57.083,-57.083,-63.550,-63.550) |
geographic |
West Antarctica Buttress |
geographic_facet |
West Antarctica Buttress |
genre |
Antarc* Antarctica Ice Sheet Ice Shelf West Antarctica |
genre_facet |
Antarc* Antarctica Ice Sheet Ice Shelf West Antarctica |
op_source |
Journal of Fluid Mechanics volume 696, page 152-174 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/jfm.2012.21 |
container_title |
Journal of Fluid Mechanics |
container_volume |
696 |
container_start_page |
152 |
op_container_end_page |
174 |
_version_ |
1795662076533800960 |