Shankar, PN (1998) Three-dimensional Stokes flow in a cylindrical container13;. Physics of Fluids, 10 (3). pp. 540-549. ISSN 1070-6631
Full text not available from this repository.Abstract
Consider a cylindrical container of circular section filled with a viscous fluid. We consider flow in such a cylinder driven by the motion of flat belts across the partially open end walls of the container. The flow field is determined by the use of a vector eigenfunction expansion. The critical points that are exhibited in the plane of symmetry include elliptic points, foci, and saddles. As the parameters are varied one can have bifurcations in which one type of critical point bifurcates to a collection of others. An example of a limiting surface is also demonstrated. Since the flow fields considered have little symmetry, the three-dimensional streamlines are for the most part not closed. As a consequence the flow fields tend to globalize structures that would otherwise have been isolated. This feature can have important consequences for mixing
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Bifurcation;Critical points;Eigenvalues and eigenfunctions;Pipe flow |
| Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |
| Depositing User: | Ms Indrani V |
| Date Deposited: | 19 Apr 2007 |
| Last Modified: | 24 May 2010 04:25 |
| URI: | http://nal-ir.nal.res.in/id/eprint/4143 |
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