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

Chi-Hin Chan; Magdalena Czubak; Tsuyoshi Yoneda

doi:10.1016/j.physd.2014.05.004

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

Chi-Hin Chan^*, Magdalena Czubak, Tsuyoshi Yoneda

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	34-38
Number of pages	5
Journal	Physica D: Nonlinear Phenomena
Volume	282
DOIs	https://doi.org/10.1016/j.physd.2014.05.004
State	Published - 15 Jul 2014

Keywords

Boundary layer separation
Coriolis effect
Navier-Stokes equation
Riemannian manifolds

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10.1016/j.physd.2014.05.004

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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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AU - Czubak, Magdalena

AU - Yoneda, Tsuyoshi

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Y1 - 2014/7/15

N2 - 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.

AB - 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.

KW - Boundary layer separation

KW - Coriolis effect

KW - Navier-Stokes equation

KW - Riemannian manifolds

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DO - 10.1016/j.physd.2014.05.004

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JO - Physica D: Nonlinear Phenomena

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