An apparent paradox in hydrostatic

TL;DR

This paper reveals a paradox in hydrostatics where Pascal's principle, mass conservation, and energy conservation cannot all be simultaneously satisfied without considering viscosity, highlighting a fundamental limitation in classical assumptions.

Contribution

The paper identifies a fundamental paradox in hydrostatics and emphasizes the necessity of including viscosity to accurately describe system behavior.

Findings

Pascal's principle, mass conservation, and energy conservation cannot all be simultaneously fulfilled in connected vessels.

Viscosity must be considered to resolve the paradox.

Classical hydrostatic assumptions are incomplete without viscosity.

Abstract

It is shown that for a liquid in any connected vessels system, it is not possible to fulfill simultaneously Pascal's principle, mass conservation, and energy conservation. The viscosity has to necessarily be taken into account to understand the system change.