Why is surface tension a force parallel to the interface?
Antonin Marchand, Joost H. Weijs, Jacco H. Snoeijer, Bruno Andreotti

TL;DR
This paper clarifies the conceptual understanding of surface tension by reconciling macroscopic thermodynamic and microscopic statistical physics perspectives, aiding better teaching of capillarity phenomena.
Contribution
It provides a unified explanation of surface tension that bridges the gap between microscopic interactions and macroscopic interpretations, enhancing educational approaches.
Findings
Clarifies why surface tension acts parallel to the interface.
Reconciles thermodynamic and microscopic views of surface tension.
Improves conceptual understanding for teaching capillarity.
Abstract
A paperclip can float on water. Drops of mercury refuse to spread on a surface. These capillary phenomena are macroscopic manifestations of molecular interactions, and can be explained in terms of surface tension. For students, the concept of surface tension is quite challenging since the microscopic intuition is often in conflict with the common macroscopic interpretations. In this paper we address a number of conceptual questions that are often encountered when teaching capillarity. By answering these questions we provide a perspective that reconciles the macroscopic viewpoints, from thermodynamics or fluid mechanics, and the microscopic perspective from statistical physics.
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