Relation between the Nusselt and Bejan numbers in natural convection
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908994159771648 |
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| author | Masuda, Takuya Tagawa, Toshio |
| author_facet | Masuda, Takuya Tagawa, Toshio |
| contents | This study derives a scaling law connecting the Nusselt (Nu) and Bejan (Be) numbers in natural convection. Combining entropy generation analysis with boundary-layer scaling, the relation Be^-1 - 1 = a Nu^b naturally emerges without explicit dependence on geometry or boundary conditions. This is achieved within the present scaling framework when transport is governed by a single control parameter. Numerical validation against several cases corroborates this scaling. This finding reveals a direct, quantitative link between heat transfer efficiency and thermodynamic irreversibility, suggesting a potentially universal constraint that governs convective transport. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23736 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relation between the Nusselt and Bejan numbers in natural convection Masuda, Takuya Tagawa, Toshio Fluid Dynamics This study derives a scaling law connecting the Nusselt (Nu) and Bejan (Be) numbers in natural convection. Combining entropy generation analysis with boundary-layer scaling, the relation Be^-1 - 1 = a Nu^b naturally emerges without explicit dependence on geometry or boundary conditions. This is achieved within the present scaling framework when transport is governed by a single control parameter. Numerical validation against several cases corroborates this scaling. This finding reveals a direct, quantitative link between heat transfer efficiency and thermodynamic irreversibility, suggesting a potentially universal constraint that governs convective transport. |
| title | Relation between the Nusselt and Bejan numbers in natural convection |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2604.23736 |