Hyperbolicity and Change of Type in Sink Flow
This chapter is based on the  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 .
KeywordsViscoelastic Fluid Maxwell Model Axisymmetric Flow Quasilinear System Instantaneous Elasticity
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