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Numerical calculations of the primary-flow exchange process in the Taylor problem

Published online by Cambridge University Press:  21 April 2006

K. A. Cliffe
K. A. Cliffe
Affiliation:
Theoretical Physics Division, UKAEA Harwell Laboratory, Didcot, Oxon OX11 0RA, UK
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Abstract

Numerical methods are used to study the way in which the number of cells present in the Taylor experiment changes as the length of the comparatively short annulus varies. The structure of the solution surface is determined by following paths of singular points in a finite-element discretization of the axisymmetric Navier–Stokes equations. The numerical results are compared with the experiments of Benjamin (1978b), Mullin (1982) and Mullin et al. (1982). The calculations are in agreement with the qualitative theory of Benjamin (1978a) and Schaeffer (1980) except that in the interaction involving four- and six-cell flows, the numerical calculations indicate that the six-cell flow can become unstable owing to perturbations that are antisymmetric about the midplane.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 197 , December 1988 , pp. 57 - 79
Copyright
© 1988 Cambridge University Press

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