Faculty Publications

The Stability Of Spiral Flow Between Coaxial Cylinders

Document Type

Article

Keywords

Hydrodynamic stability, Reynolds number, Spiral flow, Taylor number

Journal/Book/Conference Title

Computers and Mathematics with Applications

Volume

41

Issue

3-4

First Page

289

Last Page

300

Abstract

We investigate the hydrodynamic stability for the motion of a viscous incompressible fluid between two coaxial cylinders which move spirally along their common axis assuming that the gap between the cylinders is small and that the Reynolds number is small compared to the Taylor number. We use the variational method to derive a relation between the critical Taylor number and the Reynolds number. © 2001 Elsevier Science Ltd. All rights reserved.

Department

Department of Mathematics

Original Publication Date

2-2-2001

DOI of published version

10.1016/s0898-1221(00)00273-x

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