Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-03T20:58:08.401Z Has data issue: false hasContentIssue false
  • English
  • Français

On the stability of visco-elastic liquids in heated plane Couette flow

Published online by Cambridge University Press:  28 March 2006

D. M. Herbert
D. M. Herbert
Affiliation:
Department of Mathematics, University of Manchester
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of thermally stratified plane Couette flow of visco-elastic liquids, with respect to disturbances of small amplitude, is considered. It is found that an initial state of finite elastic stress is necessary for elasticity to effect stability. The critical Rayleigh number of the flow is shown to be decreased for all non-zero rates-of-strain. This greater instability is due solely to the variations of the apparent viscosity with shear rate. In this way, the presence of elasticity can be said to have a destabilizing effect on the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 17 , Issue 3 , November 1963 , pp. 353 - 359
Copyright
© 1963 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.)

References

Jeffreys, H. 1928 Proc. Roy. Soc. A, 118, 195.
Oldroyd, J. G. 1950 Proc. Roy. Soc. A, 200, 523.
Oldroyd, J. G. 1958 Proc. Roy. Soc. A, 245, 278.
Pellew, A. & Southwell, R. V. 1940 Proc. Roy. Soc. A, 176, 312.
Thoms, B. A. & Strawbridge, D. J. 1953 2nd Intern. Congr. Rheology, Oxford, p. 99.