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The nonlinear instability of thread–annular flow at high Reynolds number

Published online by Cambridge University Press:  28 March 2003

ANDREW G. WALTON
ANDREW G. WALTON
Affiliation:
Mathematics Department, Imperial College of Science, Technology & Medicine, 180 Queen's Gate, London SW7 2BZ, UK
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Abstract

The surgical technique of thread injection of medical implants is modelled by the axial pressure-gradient-driven flow between concentric cylinders with a moving core. The nonlinear stability of the basic flow is analysed theoretically at asymptotically large Reynolds number and it is found that non-axisymmetric finite-amplitude neutral modes can be supported over a wide range of thread radii and injection velocities. The axial force on the thread is calculated and it is found to be significantly less than that predicted by undisturbed-flow theory, in agreement with thread–annular experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 477 , 25 February 2003 , pp. 227 - 257
Copyright
© 2003 Cambridge University Press

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