Free-surface equatorial flows with surface tension in spherical coordinates
Fluid Dynamics
2024-12-09 v1
Abstract
In this paper, we determine an exact solution to the governing equations in spherical coordinates for an inviscid, incompressible fluid. This solution describes a steady, purely azimuthal equatorial flow with an associated free surface. Using functional analytic techniques, we demonstrate that if a free surface is known beforehand, the variations in pressure needed to achieve this surface implicitly define the shape of the free surface in a unique way.
Cite
@article{arxiv.2412.04763,
title = {Free-surface equatorial flows with surface tension in spherical coordinates},
author = {Andrei Stan},
journal= {arXiv preprint arXiv:2412.04763},
year = {2024}
}