Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-25T15:19:13.169Z Has data issue: false hasContentIssue false
  • English
  • Français

The decay of oscillations of a non-homogeneous fluid within a container

Published online by Cambridge University Press:  24 October 2008

B. D. Dore
B. D. Dore
Affiliation:
Department of Mathematics, University of Reading
Get access Rights & Permissions [Opens in a new window]

Abstract

The theory of laminar boundary layers is employed to determine the rate of decay of small amplitude oscillations of a non-homogeneous viscous fluid which completely fills a stationary rectangular container. An application of Green's formula is invoked and an expression is obtained in terms of the (general) density and viscosity distributions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 1 , January 1969 , pp. 301 - 307
Copyright
Copyright © Cambridge Philosophical Society 1969

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)Hide, R.The character of the equilibrium of an incompressible heavy viscous fluid of variable density: an approximate theory. Proc. Cambridge Philos. Soc. 51 (1955), 179–201.CrossRefGoogle Scholar
(2)Chandrasekhar, S.The character of the equilibrium of an incompressible heavy viscous fluid of variable density. Proc. Cambridge Philos. Soc. 51 (1955), 162–178.Google Scholar
(3)Dore, B. D.Oscillations in a non-homogeneous viscous fluid. Tellus, 20 (1968), 514–523.CrossRefGoogle Scholar
(4)Chernous'ko, F. L.On free oscillations of a viscous fluid in a vessel. Prikl. Mat. Meh. 30 (1966), 836–847 (Russian); translated as J. Appl. Math. Mech. 30 (1966), 990–1003 (1967).Google Scholar
(5)Yih, C.-S. Chapter 4 of Dynamics of nonhomogeneous fluids, p. 146 (Macmillan, 1965).Google Scholar
(6)Rosenhead, L. Chapter 5 of Laminar boundary layers, pp. 198–201 (Clarendon Press, 1963).Google Scholar
(7)Case, K. M. and Parkinson, W. C.Damping of surface waves in an incompressible liquid. J. Fluid Mech. 2 (1957), 172–184.CrossRefGoogle Scholar