Transition to the buoyancy dominated regime in a planar temporal forced plume
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911090433064960 |
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| author | Boga, G. Cimarelli, A. Esposito, M. Crialesi Musacchio, S. Stalio, E. Boffetta, G. |
| author_facet | Boga, G. Cimarelli, A. Esposito, M. Crialesi Musacchio, S. Stalio, E. Boffetta, G. |
| contents | We study the transition from momentum- to buoyancy-dominated regime in temporal jets forced by gravity. From the conservation of the thermal content and of the volume flux, we develop a simple model which is able to describe accurately the transition between the two regimes in terms of a single parameter representing the entrainment coefficient. Our analytical results are validated against a set of numerical simulations of temporal planar forced plumes at different initial values of Reynolds and Froude numbers. We find that, although the the pure jet-scaling law is not clearly observed in simulations at finite Froude number, the model correctly describe the transition to the buoyancy-dominated regime which emerges at long times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transition to the buoyancy dominated regime in a planar temporal forced plume Boga, G. Cimarelli, A. Esposito, M. Crialesi Musacchio, S. Stalio, E. Boffetta, G. Fluid Dynamics We study the transition from momentum- to buoyancy-dominated regime in temporal jets forced by gravity. From the conservation of the thermal content and of the volume flux, we develop a simple model which is able to describe accurately the transition between the two regimes in terms of a single parameter representing the entrainment coefficient. Our analytical results are validated against a set of numerical simulations of temporal planar forced plumes at different initial values of Reynolds and Froude numbers. We find that, although the the pure jet-scaling law is not clearly observed in simulations at finite Froude number, the model correctly describe the transition to the buoyancy-dominated regime which emerges at long times. |
| title | Transition to the buoyancy dominated regime in a planar temporal forced plume |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2508.02234 |