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Hyperbolicity and change of type in sink flow

Published online by Cambridge University Press:  20 April 2006

Jung Y. Yoo ,
Mark Ahrens  and
Daniel D. Joseph
Jung Y. Yoo
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, 110 Union St S.E., Minneapolis, Minnesota 55455 Present address: Department of Mechanical Engineering, Seoul National University, Korea.
Mark Ahrens
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, 110 Union St S.E., Minneapolis, Minnesota 55455
Daniel D. Joseph
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, 110 Union St S.E., Minneapolis, Minnesota 55455
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Abstract

We consider the problem of steady fast flow of a family of Oldroyd fluids into a hole, and show that the field of flow is partitioned into elliptic (subcritical) and hyperbolic (supercritical) regions. We analyse the characteristics and show that the vorticity changes type as in the experiments of Metzner, Uebler & Fong (1969).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 203 - 214
Copyright
© 1985 Cambridge University Press

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References

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