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The base-flow and near-wake problem at very low Reynolds numbers Part 2. The Oseen approximation

Published online by Cambridge University Press:  28 March 2006

H. Viviand  and
S. A. Berger
H. Viviand
Affiliation:
University of California, Berkeley
S. A. Berger
Affiliation:
University of California, Berkeley
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Abstract

The influence of inertia terms in the equations of motion on the properties of the base-flow and near-wake flow at very low Reynolds numbers is investigated by using Oseen's approximation and by comparing with the results obtained in Part 1 for Stokes flow. The general solutions of Oseen's equations of motion are derived for two-dimensional and axisymmetric flows in the half-space x > 0, for an arbitrarily given velocity field in the plane x = 0. Numerical examples are given for two-dimensional flow and compared with Stokes-flow examples.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 3 , November 1965 , pp. 439 - 458
Copyright
© 1965 Cambridge University Press

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References

Bowman, F. 1958 Introduction to Bessel Functions. New York: Dover Publications.
Courant, R. & Hilbert, D. 1962 Methods of Mathematical Physics, vols. I and II. New York: Interscience.
Lewis, J. A. & Carrier, G. F. 1949 Some remarks on the flat plate boundary layer. Quart. Appl. Math. 7, 228.Google Scholar