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

PHYSICA D-NONLINEAR PHENOMENA

卷:282

Article

Chan, Chi Hin¹  Czubak, Magdalena²  Yoneda, Tsuyoshi³ 

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan

[2] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

[3] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

关键词: Navier-Stokes equation;    Riemannian manifolds;    Boundary layer separation;    Coriolis effect;   

DOI  :  10.1016/j.physd.2014.05.004

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free