Hostname: page-component-6d856f89d9-26vmc Total loading time: 0 Render date: 2024-07-16T08:00:37.061Z Has data issue: false hasContentIssue false

The flow induced by a disk oscillating in its own plane

Published online by Cambridge University Press:  28 March 2006

D. J. Benney
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass.

Abstract

The flow field due to the oscillations of a disk is governed largely by diffusion near the boundary, but the inertia forces cannot be neglected at large distances. The solution is obtained as a single expansion for the case when the disk is performing small-amplitude sinusoidal oscillations.

Type
Research Article
Copyright
© 1964 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

Carrier, G. F. & Di Prima, R. C. 1956 J. Appl. Mech. 23, 601.
Goldstein, S. 1938 Modern Developments in Fluid Dynamics, vol. 1. Oxford Clarendon Press.
Gribben, R. J. 1961 J. Math. Phys. 40, 177.
Kármán, T. von 1921 Z. angew. Math. Mech. 1, 244.
Kestin, J. & Persen, L. N. 1954 Brown Univ. Rep. no. AF-891/2.
Kevorkian, J. 1961 Doctoral Thesis, Cal. Inst. of Technology.
Mahony, J. J. 1961 Aust. Math. Soc. J. 2, 440.
Rosenblat, S. 1959 J. Fluid Mech. 5, 206.