Effect of Different Flows on the Shear Branding
of a Liquid with a Non-Monotonic Flow Curve
Yu. L. Kuznetsova, O. I. Skul'skiy
Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, 614013, Russia
Keywords: расслоение сдвигового течения, модифицированная модель Виноградова - Покровского, немонотонность кривой течения, множественность решений, время установления, shear banding of the shear flow, modified Vinogradov-Pokrovsky model, non-monotonic flow curve, multiple solutions, determination time
Abstract
A Couette flow of liquid, described by a modified Vinogradov-Pokrovsky model with a non-monotonic flow curve is simulated. It is shown that the analytical solution of the stationary problem has an infinite set of solutions. The time-dependent problem is numerically simulated in the assumption that the components of the structural tensor take values corresponding to a current change in the velocity field. It is determined that the time it takes for the plate velocity to reach a given value significantly affects the velocity profile and the dependence of tangential stresses on an operating shear rate. It is shown that, as this time decreases, the shear banding of the flow is observed not only for shear rates corresponding to the downward branch of the flow curve, but also in the entire domain of its ambiguity.
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