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Hyperbolicity and Change of Type in Sink Flow

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Fluid Dynamics of Viscoelastic Liquids

Part of the book series: Applied Mathematical Sciences ((AMS,volume 84))

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Abstract

This chapter is based on the [1985] paper of Yoo, Ahrens, and Joseph. We consider the problem of steady fast flow of interpolated Maxwell models into a hole, and show that the flow field is partitioned into elliptic (subcritical) and hyperbolic (supercritical) regions. We analyze the characteristics and show that the vorticity changes type as in the experiments of Metzner, Uebler, and Fong [1969].

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© 1990 Springer-Verlag Berlin Heidelberg

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Joseph, D.D. (1990). Hyperbolicity and Change of Type in Sink Flow. In: Fluid Dynamics of Viscoelastic Liquids. Applied Mathematical Sciences, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4462-2_9

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  • DOI: https://doi.org/10.1007/978-1-4612-4462-2_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8785-8

  • Online ISBN: 978-1-4612-4462-2

  • eBook Packages: Springer Book Archive

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