| Title: | An ODE for boundary layer separation on a sphere and a hyperbolic space |
| Authors: | Chan, Chi Hin Czubak, Magdalena Yoneda, Tsuyoshi 應用數學系 Department of Applied Mathematics |
| Keywords: | Navier-Stokes equation;Riemannian manifolds;Boundary layer separation;Coriolis effect |
| Issue Date: | 15-Jul-2014 |
| 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. (C) 2014 Elsevier B.V. All rights reserved. |
| URI: | http://dx.doi.org/10.1016/j.physd.2014.05.004 http://hdl.handle.net/11536/147744 |
| ISSN: | 0167-2789 |
| DOI: | 10.1016/j.physd.2014.05.004 |
| Journal: | PHYSICA D-NONLINEAR PHENOMENA |
| Volume: | 282 |
| Begin Page: | 34 |
| End Page: | 38 |
| Appears in Collections: | Articles |
- An ODE for boundary layer separation on a sphere and a hyperbolic space / Chan, Chi Hin;Czubak, Magdalena;Yoneda, Tsuyoshi
- On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space / Chan, Chi Hin;Yoneda, Tsuyoshi
- The formulation of the Navier-Stokes equations on Riemannian manifolds / Chan, Chi Hin;Czubak, Magdalena;Disconzi, Marcelo M.
- Liouville theorems for the stationary Navier-Stokes equation on a hyperbolic space / Chan, Chi Hin;Czubak, Magdalena
- Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting / Chan, Chi Hin;Czubak, Magdalena
- Antithesis of the Stokes Paradox on the Hyperbolic Plane / Chan, Chi Hin;Czubak, Magdalena
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