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Kinetic-energy mass, momentum mass, and drift mass in steady irrotational subsonic flows

Published online by Cambridge University Press:  26 April 2006

Chia-Shun Yih
Chia-Shun Yih
Affiliation:
The University of Michigan, Ann Arbor, MI 48109-2125, USA
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Abstract

Irrotational flows caused by a body moving with a constant velocity in an unbounded homentropic compressible fluid at rest at infinity are considered. Provided the (steady) flow relative to the body is everywhere subsonic, it is shown that the momentum mass is always equal to the drift mass, and the kinetic-energy mass is equal to the drift mass under certain conditions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 297 , 25 August 1995 , pp. 29 - 36
Copyright
© 1995 Cambridge University Press

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References

Batchelor, G. K. 1945 Power series expansion of the velocity potential in compressible flow. Q. Appl. Maths 2, 318–328.Google Scholar
Darwin, C. 1953 Note on hydrodynamics. Proc. Camb. Phil. Soc. 49, 342–354.Google Scholar
Eames, I., Belcher, S. E. & Hunt, J. C. R. 1994 Drift, partial drift and Darwin's proposition. J. Fluid Mech. 275, 201–223.Google Scholar
Lighthill, J. M. 1954 Higher approximations. In General Theory of High Speed Aerodynamics (ed. W. R. Sears). Princeton University Press.
Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics. Parabolic Press.
Yih, C.-S. 1985 New derivations of Darwin's theorem. J. Fluid Mech. 152, 163–172.Google Scholar