An ODE for boundary layer separation on a sphere and a hyperbolic space

2014/02/10 by Chi Hin Chan, Chan, Chi Hin, Magdalena Czubak +3 · 1 citation
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Fluid dynamics and aerodynamics studies #math.AP

paper · pdf · doi:10.48550/arxiv.1402.2038

10 pages, submitted

arxiv created 2014/02/10 · openalex publication_date 2014/02/10 · arxiv updated 2014/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Ma and Wang derived an equation linking the separation location and times for the boundary layer separation of incompressible fluid flows. The equation gave a necessary condition for the separation (bifurcation) point. The purpose of this paper is to generalize the equation to other geometries, and to phrase it as a simple ODE. Moreover we consider the Navier-Stokes equation with the Coriolis effect, which is related to the presence of trade winds on Earth.

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