Hostname: page-component-7b7567c8c-jswmv Total loading time: 0 Render date: 2026-11-15T17:56:30.262Z Has data issue: false hasContentIssue false
  • English
  • Français

Stokes flow around a circular cylindrical post confined between two parallel plates

Published online by Cambridge University Press:  29 March 2006

J. S. Lee and
Y. C. Fung
J. S. Lee
Affiliation:
Department of Aerospace and Mechanical Engineering Sciences, University of California, San Diego
Y. C. Fung
Affiliation:
Department of Aerospace and Mechanical Engineering Sciences, University of California, San Diego
Get accessRights & Permissions [Opens in a new window]

Abstract

A slow viscous flow around a circular cylindrical post confined between two parallel flat plates is analyzed. The solution is given in the form of a series each term of which satisfies the equations of motion and continuity as well as the no-slip condition on the plates. A number of arbitrary constants left open in the series can then be determined according to the no-slip condition at the surface of the cylinder. Numerical results are presented. The series is found to be adequate when the ratio of the distance between the plates and the diameter of the post is not much larger than unity. The coefficient of resistance of the flow decreases rapidly as the sheet-thickness-to-post-diameter ratio increases. It is shown that the series converges rapidly when the thickness ratio is small, so that an approximate solution consisting of the two leading terms of the series, gives a reasonable representation of the velocity field and a good approximation to the flow resistance.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 37 , Issue 4 , 28 July 1969, pp. 657 - 670
Copyright
© 1969 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.)

Article purchase

Temporarily unavailable

References

Fung, Y. C. 1965 Foundations of Solid Mechanics Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Fung, Y. C. & Sobin, S. S. 1969 J. Appl. Physiol. 26, 472.Google Scholar
Gaydon, F. A. & Shepherd, W. M. 1964 Proc. Roy. Soc. A 281, 184.Google Scholar
Hele-shaw, H. S. 1897 Trans. Roy. Inst. Nav. Arch. 41, 21.Google Scholar
Hele-shaw, H. S. 1898a Trans. Roy. Inst. Nav. Arch. 42, 49.Google Scholar
Hele-shaw, H. S. 1898b Rep. 68th Mtg. Brit. Ass. 136.Google Scholar
Hele-shaw, H. S. & Hay, A. Phil. Trans. A 195, 303.Google Scholar
Lee, J. S. 1969 To appear in J. Biomechanics.Google Scholar
Lee, J. S. & Fung, Y. C. 1968 Paper no. 68-WA/BHF-2, ASME Winter Annual Meeting.Google Scholar
Sobin, S. S. & Fung, Y. C. 1967 Physiologist, 10, 308.Google Scholar
Stokes, G. 1898 Rep. British Assoc. A 144 (also papers, vol. 3, p. 278).Google Scholar
Thompson, B. W. 1968 J. Fluid Mech. 31, 397.Google Scholar