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Study of three-dimensional unsteady Oseen flow

Published online by Cambridge University Press:  12 April 2006

S. Murata ,
Y. Miyake ,
Y. Tsujimoto  and
F. Yamamoto
S. Murata
Affiliation:
Department of Mechanical Engineering, Osaka University, Suita, Osaka, Japan
Y. Miyake
Affiliation:
Department of Mechanical Engineering, Osaka University, Suita, Osaka, Japan
Y. Tsujimoto
Affiliation:
Department of Mechanical Engineering, Osaka University, Suita, Osaka, Japan
F. Yamamoto
Affiliation:
Department of Mechanical Engineering, Fukui University, Bunkyo, Fukui, Japan
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Abstract

In the present paper, it is intended to give the elementary solutions of three-dimensional unsteady Oseen flow when unsteady concentrated lift and/or drag is applied in the flow field. It is shown that the pressure fields due to concentrated impulsive lift and/or drag can be represented by an impulsive pressure doublet in the direction of the applied force and the corresponding velocity fields by diffusing free doublets in the direction of the external force that are shed from the location of the force application and convected downstream with otherwise uniform velocity. It is also confirmed that combination of the elementary solutions given in the present paper yields the two-dimensional ones.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 86 , Issue 4 , 28 June 1978 , pp. 609 - 622
Copyright
© 1978 Cambridge University Press

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References

Moore, F. M. 1964 Theory of Laminar Flows, p. 96. Princeton University Press.
Murata, S., Miyake, Y. & Tsujimoto, Y. 1977 Bull. Japan Soc. Mech. Engrs 20, 819.
Shen, S. F. & Crimi, P. J. 1965 J. Fluid Mech. 23, 585.
Tsujimoto, Y., Murata, S., Miyake, Y. & Yamamoto, F. 1978 Trans. Japan Soc. Mech. Engrs (in Japanese) (to be published).