Universal Relation between Nusselt Number and Bejan Number in Natural Convection
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908950967877632 |
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| author | Masuda, Takuya Tagawa, Toshio |
| author_facet | Masuda, Takuya Tagawa, Toshio |
| contents | We propose a universal scaling law linking the Nusselt number (Nu) and the Bejan number (Be) in natural convection. Using entropy generation analysis and boundary-layer scaling, we demonstrate that Be^-1 - 1 = a Nu^b emerges independently of geometry and boundary conditions when transport is governed by a single control parameter. The relation is validated using a canonical square cavity. This result establishes a direct connection between heat transfer and thermodynamic irreversibility, revealing a fundamental constraint in convective transport. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08848 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universal Relation between Nusselt Number and Bejan Number in Natural Convection Masuda, Takuya Tagawa, Toshio Fluid Dynamics We propose a universal scaling law linking the Nusselt number (Nu) and the Bejan number (Be) in natural convection. Using entropy generation analysis and boundary-layer scaling, we demonstrate that Be^-1 - 1 = a Nu^b emerges independently of geometry and boundary conditions when transport is governed by a single control parameter. The relation is validated using a canonical square cavity. This result establishes a direct connection between heat transfer and thermodynamic irreversibility, revealing a fundamental constraint in convective transport. |
| title | Universal Relation between Nusselt Number and Bejan Number in Natural Convection |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2604.08848 |