Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs
Interesting analogies between shallow water dynamics and astrophysical phenomena have offered valuable insight from both the theoretical and experimental point of view. To help organize these efforts, here we analyze systematically the hydrodynamic properties of backwater profiles of the shallow wat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023119 |
| _version_ | 1827285814537617408 |
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| author | Amilcare Porporato Luca Ridolfi Lamberto Rondoni |
| author_facet | Amilcare Porporato Luca Ridolfi Lamberto Rondoni |
| author_sort | Amilcare Porporato |
| collection | DOAJ |
| description | Interesting analogies between shallow water dynamics and astrophysical phenomena have offered valuable insight from both the theoretical and experimental point of view. To help organize these efforts, here we analyze systematically the hydrodynamic properties of backwater profiles of the shallow water equations with 2D radial symmetry. In contrast to the more familiar 1D case typical of hydraulics, even in isentropic conditions, a solution with minimum-radius horizon for the flow emerges, similar to the black hole and white hole horizons, where the critical conditions of unitary Froude number provide a unidirectional barrier for surface waves. Beyond these time-reversible solutions, a greater variety of cases arises, when allowing for dissipation by turbulent friction and shock waves (i.e., hydraulic jumps) for both convergent and divergent flows. The resulting taxonomy of the base-flow cases may serve as a starting point for a more systematic analysis of higher-order effects linked, e.g., to wave propagation and instabilities, capillarity, variable bed slope, and rotation. |
| first_indexed | 2024-04-24T10:19:52Z |
| format | Article |
| id | doaj.art-d87032b8cc294f5dace9dba418743539 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:52Z |
| publishDate | 2021-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-d87032b8cc294f5dace9dba4187435392024-04-12T17:09:54ZengAmerican Physical SocietyPhysical Review Research2643-15642021-05-013202311910.1103/PhysRevResearch.3.023119Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogsAmilcare PorporatoLuca RidolfiLamberto RondoniInteresting analogies between shallow water dynamics and astrophysical phenomena have offered valuable insight from both the theoretical and experimental point of view. To help organize these efforts, here we analyze systematically the hydrodynamic properties of backwater profiles of the shallow water equations with 2D radial symmetry. In contrast to the more familiar 1D case typical of hydraulics, even in isentropic conditions, a solution with minimum-radius horizon for the flow emerges, similar to the black hole and white hole horizons, where the critical conditions of unitary Froude number provide a unidirectional barrier for surface waves. Beyond these time-reversible solutions, a greater variety of cases arises, when allowing for dissipation by turbulent friction and shock waves (i.e., hydraulic jumps) for both convergent and divergent flows. The resulting taxonomy of the base-flow cases may serve as a starting point for a more systematic analysis of higher-order effects linked, e.g., to wave propagation and instabilities, capillarity, variable bed slope, and rotation.http://doi.org/10.1103/PhysRevResearch.3.023119 |
| spellingShingle | Amilcare Porporato Luca Ridolfi Lamberto Rondoni Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs Physical Review Research |
| title | Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs |
| title_full | Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs |
| title_fullStr | Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs |
| title_full_unstemmed | Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs |
| title_short | Hydrodynamic holes and Froude horizons: Circular shallow water profiles for astrophysical analogs |
| title_sort | hydrodynamic holes and froude horizons circular shallow water profiles for astrophysical analogs |
| url | http://doi.org/10.1103/PhysRevResearch.3.023119 |
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