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Numerical simulation of the evolution of Taylor cells from a growing boundary layer on the inner cylinder of a high radius ratio Taylor-Couette system

Numerical simulation of the evolution of Taylor cells from a growing boundary layer on the inner cylinder of a high radius ratio Taylor-Couette system
Numerical simulation of the evolution of Taylor cells from a growing boundary layer on the inner cylinder of a high radius ratio Taylor-Couette system
The Taylor-Couette flow in the gap between two concentric cylinders has been studied numerically to show the evolution of Taylor vortices from pairs of ring-shaped vortices, at Reynolds numbers of 5x103 and 8x103 based upon the gap width. The cylinders have a high radius ratio of 0.985 and the inner cylinder rotates within a stationary outer cylinder. Initially, ring-shaped vortices are generated at the surface of the inner cylinder and spread into the gap. This is distinctly different from the formation of laminar Taylor vortices that grow from the end walls. Mixing of these ring-shaped vortices with the developing Couette flow then occurs and further ring-shaped vortices are generated. Some of these dominate the flow and begin to form Taylor vortices. Finally the Taylor vortices are stabilized and further vortex formation ceases. An analysis is also presented of the variation of shear stress with time.
1539-3755
066302-[5pp]
Batten, W.M.J.
8a6a68c7-b614-4f62-9d56-54eb38a45a94
Bressloff, N.W.
4f531e64-dbb3-41e3-a5d3-e6a5a7a77c92
Turnock, S.R.
d6442f5c-d9af-4fdb-8406-7c79a92b26ce
Batten, W.M.J.
8a6a68c7-b614-4f62-9d56-54eb38a45a94
Bressloff, N.W.
4f531e64-dbb3-41e3-a5d3-e6a5a7a77c92
Turnock, S.R.
d6442f5c-d9af-4fdb-8406-7c79a92b26ce

Batten, W.M.J., Bressloff, N.W. and Turnock, S.R. (2002) Numerical simulation of the evolution of Taylor cells from a growing boundary layer on the inner cylinder of a high radius ratio Taylor-Couette system. Physical Review E, 66 (6), 066302-[5pp]. (doi:10.1103/PhysRevE.66.066302).

Record type: Article

Abstract

The Taylor-Couette flow in the gap between two concentric cylinders has been studied numerically to show the evolution of Taylor vortices from pairs of ring-shaped vortices, at Reynolds numbers of 5x103 and 8x103 based upon the gap width. The cylinders have a high radius ratio of 0.985 and the inner cylinder rotates within a stationary outer cylinder. Initially, ring-shaped vortices are generated at the surface of the inner cylinder and spread into the gap. This is distinctly different from the formation of laminar Taylor vortices that grow from the end walls. Mixing of these ring-shaped vortices with the developing Couette flow then occurs and further ring-shaped vortices are generated. Some of these dominate the flow and begin to form Taylor vortices. Finally the Taylor vortices are stabilized and further vortex formation ceases. An analysis is also presented of the variation of shear stress with time.

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Published date: 2002

Identifiers

Local EPrints ID: 22264
URI: http://eprints.soton.ac.uk/id/eprint/22264
ISSN: 1539-3755
PURE UUID: 687b82d9-7bad-4ad6-bab9-ded3cf23f074
ORCID for S.R. Turnock: ORCID iD orcid.org/0000-0001-6288-0400

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Date deposited: 21 Mar 2006
Last modified: 07 Oct 2020 01:33

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Contributors

Author: W.M.J. Batten
Author: N.W. Bressloff
Author: S.R. Turnock ORCID iD

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