Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-30T04:44:12.248Z Has data issue: false hasContentIssue false
  • English
  • Français

A fluid film squeezed between two parallel plane surfaces

Published online by Cambridge University Press:  20 April 2006

E. A. Hamza  and
D. A. Macdonald
E. A. Hamza
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Liverpool
D. A. Macdonald
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Liverpool
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the motion which results when a fluid film is squeezed between two parallel plane surfaces in relative motion. Particular attention is given to the special case where one surface is fixed and the other is rapidly accelerated from a state of rest to a state of uniform motion. The analysis is based in part on linear theory and in substance on a finite-difference analysis of the full nonlinear equations of motion.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 109 , August 1981 , pp. 147 - 160
Copyright
© 1981 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

Ishizawa, S. 1966 Bull. J.S.M.E. 9, 533.
Jackson, J. D. 1962 Appl. Sci. Res. A 11, 148.
Jones, A. F. & Wilson, S. D. R. 1975 Trans. A.S.M.E. F, J. Lub. Tech. 97, 101.
Kuzma, D. C. 1967 Appl. Sci. Res. A 18, 15.
Kuzma, D. C., Maki, E. R. & Donnelly, R. J. 1964 J. Fluid Mech. 19, 395.
Macdonald, D. A. 1977 Trans. A.S.M.E. F, J. Lub. Tech. 99, 369.
Reynolds, O. 1886 Phil. Trans. Roy. Soc. 177, 157.
Stefan, J. 1874 Akad. Wissenschafte 69 (2), 713.
Tichy, J. A. & Winer, W. O. 1970 Trans. A.S.M.E. F, J. Lub. Tech. 92, 588.
Wang, C. Y. 1976 Trans. A.S.M.E. E, J. Appl. Mech. 43, 579.