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| Autori principali: | , |
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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2605.15409 |
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| _version_ | 1866911686230802432 |
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| author | Bronsard, Sylvie Peskin, Charles S. |
| author_facet | Bronsard, Sylvie Peskin, Charles S. |
| contents | In this paper, we introduce a model for a buoyancy-driven, air-to-air heat exchanger. This model, derived from first principles, features a conservative boundary condition at inflow based on the compressible Bernoulli equation, and a dissipative boundary condition at outflow based on pressure continuity. We solve for the steady-state behavior numerically and asymptotically, with excellent agreement between the two, and we study the tradeoff between the efficiency and air flow predicted by the model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15409 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Model of a Buoyancy-Driven Heat Exchanger, with Implications for Optimal Design Bronsard, Sylvie Peskin, Charles S. Numerical Analysis 80M35, 80M20, 80-10, 76-10, 80A19 In this paper, we introduce a model for a buoyancy-driven, air-to-air heat exchanger. This model, derived from first principles, features a conservative boundary condition at inflow based on the compressible Bernoulli equation, and a dissipative boundary condition at outflow based on pressure continuity. We solve for the steady-state behavior numerically and asymptotically, with excellent agreement between the two, and we study the tradeoff between the efficiency and air flow predicted by the model. |
| title | A Model of a Buoyancy-Driven Heat Exchanger, with Implications for Optimal Design |
| topic | Numerical Analysis 80M35, 80M20, 80-10, 76-10, 80A19 |
| url | https://arxiv.org/abs/2605.15409 |