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Two solutions for inviscid rotational flow with corner eddies

Published online by Cambridge University Press:  28 March 2006

Chia-Shun Yih
Chia-Shun Yih
Affiliation:
Department of Engineering Mechanics, University of Michigan
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Abstract

The steady rotational flow of an inviscid fluid in a two-dimensional channel or a circular tube toward a sink is treated. The velocity distribution at infinity is approximated by a cosine curve (which is nearly parabolic) for the two-dimensional case, and is taken as exactly parabolic for the axisymmetric case. The dependence of vorticity on stream-function is assumed to be everywhere the same as it is for streamlines coming from infinity upstream. The resulting linear equations of motion are solved exactly. The solutions show the rather unusual features of separating streamlines and regions of closed flow (corner eddies).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 5 , Issue 1 , January 1959 , pp. 36 - 40
Copyright
© 1959 Cambridge University Press

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References

Batchelor, G. K. 1956 On steady laminar flow with closed streamlines at large Reynolds number. J. Fluid Mech. 1, 117.Google Scholar
Lamb, H. 1945 Hydrodynamics. New York: Dover.
Yih, C.-S. 1958 On the flow of a stratified fluid. Proc. Third U.S. National Congress of Applied Mechanics (to be published).Google Scholar