Hyperbolicity and Change of Type in Sink Flow

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


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].


Viscoelastic Fluid Maxwell Model Axisymmetric Flow Quasilinear System Instantaneous Elasticity 
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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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