Abstract
Viscoelastic fluids exhibit hysteresis in response to time-dependent stimuli due to a finite relaxation time of the polymeric chains. We have investigated hysteresis in the context of viscoelastic flow instability, which has applications in industrial, geophysical, and biological processes. The topology of the polymeric stress field regulates distinct flow states in viscoelastic flows, requiring a finite time for the transformation of the polymeric stress topology and leading to hysteresis in the flow field.
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