Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-26T11:56:02.570Z Has data issue: false hasContentIssue false
  • English
  • Français

The stability of Couette flow of certain anisotropic fluids

Published online by Cambridge University Press:  24 October 2008

F. M. Leslie
F. M. Leslie
Affiliation:
University of Newcastle-upon-Tyne
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of the flow between concentric, rotating cylinders is discussed when the gap is small and the cylinders are rotating in the same direction for a class of anisotropic fluids in which the fluid has a preferred direction. An important conclusion of the analysis is that a steady-state solution of the equations has previously been considered unstable on false grounds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 949 - 955
Copyright
Copyright © Cambridge Philosophical Society 1964

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

REFERENCES

(1)Chandrasekhar, S.Hydrodynamic and Hydromagnetic Stability (Oxford, 1961).Google Scholar
(2)Ericksen, J. L.Koll. Z. 173 (1960), 117–122.CrossRefGoogle Scholar
(3)Ericksen, J. L.Arch. Rational Mech. Anal. 4 (1960), 231–237.CrossRefGoogle Scholar
(4)Ericksen, J. L.Arch. Rational Mech. Anal. 8 (1961), 1–8.CrossRefGoogle Scholar
(5)Green, A. E.Proc. Cambridge Philos. Soc. 60 (1964), 123–128.CrossRefGoogle Scholar
(6)Leslie, F. M.J. Fluid Mech. 18 (1964), 595–601.CrossRefGoogle Scholar
(7)Lin, C. C.Hydrodynamic Stability (Cambridge, 1955).Google Scholar
(8)Verma, P. D. S.Arch. Rational Mech. Anal. 10 (1962), 101–107.CrossRefGoogle Scholar