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Converging gravity currents over a permeable substrate
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| Zeitschriftentitel: | Journal of Fluid Mechanics |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Journal of Fluid Mechanics, 778, 2015, S. 669-690 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Cambridge University Press (CUP)
|
| Schlagwörter: |
| author_facet |
Zheng, Zhong Shin, Sangwoo Stone, Howard A. Zheng, Zhong Shin, Sangwoo Stone, Howard A. |
|---|---|
| author |
Zheng, Zhong Shin, Sangwoo Stone, Howard A. |
| spellingShingle |
Zheng, Zhong Shin, Sangwoo Stone, Howard A. Journal of Fluid Mechanics Converging gravity currents over a permeable substrate Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
| author_sort |
zheng, zhong |
| spelling |
Zheng, Zhong Shin, Sangwoo Stone, Howard A. 0022-1120 1469-7645 Cambridge University Press (CUP) Mechanical Engineering Mechanics of Materials Condensed Matter Physics http://dx.doi.org/10.1017/jfm.2015.406 <jats:p>We study the propagation of viscous gravity currents along a thin permeable substrate where slow vertical drainage is allowed from the boundary. In particular, we report the effect of this vertical fluid drainage on the second-kind self-similar solutions for the shape of the fluid–fluid interface in three contexts: (i) viscous axisymmetric gravity currents converging towards the centre of a cylindrical container; (ii) viscous gravity currents moving towards the origin in a horizontal Hele-Shaw channel with a power-law varying gap thickness in the horizontal direction; and (iii) viscous gravity currents propagating towards the origin of a porous medium with horizontal permeability and porosity gradients in power-law forms. For each of these cases with vertical leakage, we identify a regime diagram that characterizes whether the front reaches the origin or not; in particular, when the front does not reach the origin, we calculate the final location of the front. We have also conducted laboratory experiments with a cylindrical lock gate to generate a converging viscous gravity current where vertical fluid drainage is allowed from various perforated horizontal substrates. The time-dependent position of the propagating front is captured from the experiments, and the front position is found to agree well with the theoretical and numerical predictions when surface tension effects can be neglected.</jats:p> Converging gravity currents over a permeable substrate Journal of Fluid Mechanics |
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Converging gravity currents over a permeable substrate |
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Converging gravity currents over a permeable substrate |
| title_full |
Converging gravity currents over a permeable substrate |
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Converging gravity currents over a permeable substrate |
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Converging gravity currents over a permeable substrate |
| title_short |
Converging gravity currents over a permeable substrate |
| title_sort |
converging gravity currents over a permeable substrate |
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Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
| url |
http://dx.doi.org/10.1017/jfm.2015.406 |
| publishDate |
2015 |
| physical |
669-690 |
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<jats:p>We study the propagation of viscous gravity currents along a thin permeable substrate where slow vertical drainage is allowed from the boundary. In particular, we report the effect of this vertical fluid drainage on the second-kind self-similar solutions for the shape of the fluid–fluid interface in three contexts: (i) viscous axisymmetric gravity currents converging towards the centre of a cylindrical container; (ii) viscous gravity currents moving towards the origin in a horizontal Hele-Shaw channel with a power-law varying gap thickness in the horizontal direction; and (iii) viscous gravity currents propagating towards the origin of a porous medium with horizontal permeability and porosity gradients in power-law forms. For each of these cases with vertical leakage, we identify a regime diagram that characterizes whether the front reaches the origin or not; in particular, when the front does not reach the origin, we calculate the final location of the front. We have also conducted laboratory experiments with a cylindrical lock gate to generate a converging viscous gravity current where vertical fluid drainage is allowed from various perforated horizontal substrates. The time-dependent position of the propagating front is captured from the experiments, and the front position is found to agree well with the theoretical and numerical predictions when surface tension effects can be neglected.</jats:p> |
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| author | Zheng, Zhong, Shin, Sangwoo, Stone, Howard A. |
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| description | <jats:p>We study the propagation of viscous gravity currents along a thin permeable substrate where slow vertical drainage is allowed from the boundary. In particular, we report the effect of this vertical fluid drainage on the second-kind self-similar solutions for the shape of the fluid–fluid interface in three contexts: (i) viscous axisymmetric gravity currents converging towards the centre of a cylindrical container; (ii) viscous gravity currents moving towards the origin in a horizontal Hele-Shaw channel with a power-law varying gap thickness in the horizontal direction; and (iii) viscous gravity currents propagating towards the origin of a porous medium with horizontal permeability and porosity gradients in power-law forms. For each of these cases with vertical leakage, we identify a regime diagram that characterizes whether the front reaches the origin or not; in particular, when the front does not reach the origin, we calculate the final location of the front. We have also conducted laboratory experiments with a cylindrical lock gate to generate a converging viscous gravity current where vertical fluid drainage is allowed from various perforated horizontal substrates. The time-dependent position of the propagating front is captured from the experiments, and the front position is found to agree well with the theoretical and numerical predictions when surface tension effects can be neglected.</jats:p> |
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| physical | 669-690 |
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| spelling | Zheng, Zhong Shin, Sangwoo Stone, Howard A. 0022-1120 1469-7645 Cambridge University Press (CUP) Mechanical Engineering Mechanics of Materials Condensed Matter Physics http://dx.doi.org/10.1017/jfm.2015.406 <jats:p>We study the propagation of viscous gravity currents along a thin permeable substrate where slow vertical drainage is allowed from the boundary. In particular, we report the effect of this vertical fluid drainage on the second-kind self-similar solutions for the shape of the fluid–fluid interface in three contexts: (i) viscous axisymmetric gravity currents converging towards the centre of a cylindrical container; (ii) viscous gravity currents moving towards the origin in a horizontal Hele-Shaw channel with a power-law varying gap thickness in the horizontal direction; and (iii) viscous gravity currents propagating towards the origin of a porous medium with horizontal permeability and porosity gradients in power-law forms. For each of these cases with vertical leakage, we identify a regime diagram that characterizes whether the front reaches the origin or not; in particular, when the front does not reach the origin, we calculate the final location of the front. We have also conducted laboratory experiments with a cylindrical lock gate to generate a converging viscous gravity current where vertical fluid drainage is allowed from various perforated horizontal substrates. The time-dependent position of the propagating front is captured from the experiments, and the front position is found to agree well with the theoretical and numerical predictions when surface tension effects can be neglected.</jats:p> Converging gravity currents over a permeable substrate Journal of Fluid Mechanics |
| spellingShingle | Zheng, Zhong, Shin, Sangwoo, Stone, Howard A., Journal of Fluid Mechanics, Converging gravity currents over a permeable substrate, Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics |
| title | Converging gravity currents over a permeable substrate |
| title_full | Converging gravity currents over a permeable substrate |
| title_fullStr | Converging gravity currents over a permeable substrate |
| title_full_unstemmed | Converging gravity currents over a permeable substrate |
| title_short | Converging gravity currents over a permeable substrate |
| title_sort | converging gravity currents over a permeable substrate |
| title_unstemmed | Converging gravity currents over a permeable substrate |
| topic | Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics |
| url | http://dx.doi.org/10.1017/jfm.2015.406 |