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A numerical and experimental investigation of a new solution in the Taylor vortex problem

Published online by Cambridge University Press:  26 April 2006

D. K. Anson ,
T. Mullin  and
K. A. Cliffe
D. K. Anson
Affiliation:
Mathematical Institute, Oxford University, Oxford OX1 3LB, UK Present address: ICI Corporate Management Services, Brunner Business Centre, Brunner House, PO Box 7, Winnington, Northwich, Cheshire CW8 4DJ, UK.
T. Mullin
Affiliation:
Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK
K. A. Cliffe
Affiliation:
Theoretical Physics Division, UKAEA, Harwell Laboratory, Oxon OX11 ORA, UK.
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Abstract

We present the results of a numerical and experimental study of the five-cell flow in the Taylor vortex problem. There is evidence for a new five-cell solution which is different in nature to the previously recorded solution. We find that there is an exchange in stability between the two solutions which we explain in terms of bifurcation theory. Streamline plots of the numerical results are compared with photographs of the observed flow. The agreement between the calculations and experiments is good. We use the Schaeffer homotopy to study the new solution in the periodic model. The results show that the new solution is not connected in any continuous manner to the trivial Couette flow solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 207 , October 1989 , pp. 475 - 487
Copyright
© 1989 Cambridge University Press

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