Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-17T04:52:14.399Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)