Free-surface equatorial flows with surface tension in spherical coordinates

2024/12/06 by Andrei Stan, Stan, Andrei
Earth and Planetary Sciences · Engineering · #Aquatic and Environmental Studies #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #Fluid dynamics and aerodynamics studies

paper · pdf · doi:10.48550/arxiv.2412.04763

openalex publication_date 2024/12/06 · openalex created_date 2024/12/10 · openalex updated_date 2026/07/28

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.

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