In this paper we consider high Reynolds number flows with closed strearnltness within which an inviscid region of uniform vorticity is separated from the containing boundary by viscous boundary layers. From numerical solutions of the boundary-layer equations we are able to determine that value of th
On flows with closed streamlines
โ Scribed by E. W. Haddon; N. Riley
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 537 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0022-0833
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we present numerical solutions of the steady, two-dimensional Navier-Stokes equations for an incompressible fluid, for the flow in a plane elliptical region driven by the motion of its boundary. As the Reynolds number increases a core region in which the vorticity is uniform emerges, and a favourable comparison is possible with results obtained in the high-Reynolds-number limit.
๐ SIMILAR VOLUMES
Let M be a closed orientable surface and let ฯ be a C 1 -flow on M with set of singularities compact countable. In this paper, we prove the Morse conjecture for ฯ: if ฯ is topologically transitive then it is metrically transitive.