Drainage Time and Shape: Inequalities from Torricelli's Law
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909880770625536 |
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| author | Ionascu, Eugen J. |
| author_facet | Ionascu, Eugen J. |
| contents | We derive integral inequalities governing drainage time in convex solids, inspired by Torricelli's Law, and introduce the Torricelli number as a shape invariant. We use these considerations to construct a class of solids that can be used in building asymmetrical clepsydrae. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Drainage Time and Shape: Inequalities from Torricelli's Law Ionascu, Eugen J. Metric Geometry 34A05, 39B72, 76-10, and 76-11 We derive integral inequalities governing drainage time in convex solids, inspired by Torricelli's Law, and introduce the Torricelli number as a shape invariant. We use these considerations to construct a class of solids that can be used in building asymmetrical clepsydrae. |
| title | Drainage Time and Shape: Inequalities from Torricelli's Law |
| topic | Metric Geometry 34A05, 39B72, 76-10, and 76-11 |
| url | https://arxiv.org/abs/2511.00023 |