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The three-dimensional instability of elliptical vortices in a viscoelastic fluid. (English) Zbl 0812.76036
Summary: A linear stability analysis is presented for an upper-convected Maxwell fluid undergoing unbounded two-dimensional flows with elliptical streamlines and uniform vorticity. The flows are found to exhibit a Floquet-type instability to a plane-wave disturbance whose wave vector is periodically distorted in time. The elasticity of the fluid is found to exert a destabilizing infuence.

MSC:
76E99 Hydrodynamic stability
76A10 Viscoelastic fluids
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