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Hyperbolicity and Change of Type in Sink Flow

  • Daniel D. Joseph
Part of the Applied Mathematical Sciences book series (AMS, volume 84)

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].

Keywords

Viscoelastic Fluid Maxwell Model Axisymmetric Flow Quasilinear System Instantaneous Elasticity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Daniel D. Joseph
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA

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