Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-10T06:56:53.020Z Has data issue: false hasContentIssue false
  • English
  • Français

Viscoelastic squeeze-film flows – Maxwell fluids

Published online by Cambridge University Press:  20 April 2006

N. Phan-Thien  and
R. I. Tanner
N. Phan-Thien
Affiliation:
Department of Mechanical Engineering, University of Sydney, N.S.W. 2006 Australia
R. I. Tanner
Affiliation:
Department of Mechanical Engineering, University of Sydney, N.S.W. 2006 Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

An exact solution for the squeeze-film motion in an upper convected Maxwell fluid is given for both the plane and axisymmetric cases. Inertia and viseoelastic effects are included, and it is shown that the solution depends only on the product of the Weissenberg and Reynolds numbers. Solutions are generated for values of this product up to 500 without numerical problems. The solutions show wave propagation and show a reduced load capacity relative to the Newtonian case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 129 , April 1983 , pp. 265 - 281
Copyright
© 1983 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

Bird, R. B., Armstrong, R. C. & Hassager, O. 1977 Dynamics of Polymeric Liquids, vol. 1. Wiley.
Brindley, G., Davies, J. M. & Walters, K. 1976 J. Non-Newt. Fluid Mech. 1, 19.
Diennes, G. J. & Klemm, H. F. 1946 J. Appl. Phys. 17, 458.
Grimm, R. J. 1976 Appl. Sci. Res. 32, 149.
Grimm, R. J. 1978 A.I.Ch.E. J. 24, 427.
Hamza, E. A. & Macdonald, D. A. 1981 J. Fluid Mech. 109, 147.
Jackson, J. D. 1962 Appl. Sci. Res. 11, 148.
Jones, A. F. & Wilson, S. D. R. 1975 Trans. A.S.M.E. F: J. Lub. Tech. 97, 101.
Kramer, J. M. 1974 Appl. Sci. Res. 30, 1.
Kuzma, D. C. 1967 Appl. Sci. Res. 18, 15.
Leider, P. J. 1974 Ind. Engng Chem. Fund. 13, 542.
Macdonald, D. A. 1977 Trans. A.S.M.E. F: J. Lub. Tech. 99, 369.
Metzner, A. B. 1968 Trans. A.S.M.E. F: J. Lub. Tech. 90, 531.
Mooney, M. 1958 Rheology, vol. 2, chap. 5. Academic.
Reynolds, O. 1886 Phil. Trans. R. Soc. Lond. A177, 757.
Scott, J. R. 1931 Trans. I.R.I. 7, 169.
Scott, J. R. 1932 Trans. I.R.I. 8, 481.
Stefan, J. 1874 Akad. Wiss. 69, 713.
Tanner, R. I. 1962 Z. angew. Math. Phys. 13, 573.
Tanner, R. I. 1965 ASLE Trans. 8, 179.