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arXiv · 2511.00023

Drainage Time and Shape: Inequalities from Torricelli's Law

Eugen J. Ionascu
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Abstract

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.

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Eugen J. Ionascu. 2025-10-25. Drainage Time and Shape: Inequalities from Torricelli's Law. https://arxiv.org/abs/2511.00023

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