Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T00:32:16.516Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow induced by the presence of a non-conducting ellipsoid of revolution in fluid carrying a uniform current

Published online by Cambridge University Press:  29 March 2006

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science The University, Sheffield
Get access Rights & Permissions [Opens in a new window]

Abstract

The Stokes creeping flow, induced by the passage of a uniform current parallel to the axis of a stationary non-conducting ellipsoid of revolution in an incompressible viscous fluid occupying, apart from the ellipsoidal region, the whole space, is investigated. The magnetic field, which is due to the distortion of the uniform current by the ellipsoid, is zero all over the surface of the ellipsoid. The induced flow field is symmetric with respect to the axis, and also with respect to a plane through the centre perpendicular to the axis of the ellipsoid. The case of a non-conducting circular disk, with its plane perpendicular to the direction of the undisturbed current, is deduced from that of a planetary ellipsoid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 1 , 4 June 1970 , pp. 129 - 138
Copyright
© 1970 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

Chow, C.-Y. 1966 Phys. Fluids, 9, 933.
Chow, C.-Y. & Billings, D. F. 1967 Phys. Fluids, 10, 871.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Englewood Cliffs, N.J.: Prentice Hall.
Kaplun, S. & Lagerstrom, P. A. 1957 J. Math. Mech. 6, 58.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 23.
Van Dyke, M. D. 1964 Perturbation Methods in Fluid Mechanics. New York: Academic.