Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-18T19:01:58.251Z Has data issue: false hasContentIssue false
  • English
  • Français

On the behaviour of small disturbances in plane Couette flow

Published online by Cambridge University Press:  28 March 2006

A. P. Gallagher  and
A. McD. Mercer
A. P. Gallagher
Affiliation:
Department of Engineering Mathematics, The Queen's University of Belfast
A. McD. Mercer
Affiliation:
Department of Engineering Mathematics, The Queen's University of Belfast
Get access Rights & Permissions [Opens in a new window]

Abstract

In an earlier paper (Gallagher & Mercer 1962) the numerical results for the first eigenvalue of the problem of plane couette flow were given. The higher eigen-values are now examined and are found to be in agreement with those of Southwell & Chitty (1930), but to disagree with those of Grohne (1954).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 18 , Issue 3 , March 1964 , pp. 350 - 352
Copyright
© 1964 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

Deardorff, J. W. 1963 On the stability of viscous plane flow. J. Fluid Mech., 15, 623–631.Google Scholar
Gallagher, A. P. & Mercer, A. McD. 1962 On the behaviour of small disturbances in plane Couette flow. J. Fluid Mech. 13, 91–100.Google Scholar
Grohne, D. 1954 Z. angew. Math. Mech. 34, 344: also Nat. Adv. Comm. Aero., Wash., Tech. Mem.no. 1417.
Hopf, L. 1914 Der 'Verlauf Kleiner Schwingungen auf einer Strömung reibender Flüsigkeit. Ann. Physik., 44, 1–60.Google Scholar
Southwell, R. V. & Chitty, L. 1930 On the problem of hydrodynamic stability. I. Uniform shearing motion in a viscous fluid. Phil. Trans. A, 229, 205–253.Google Scholar