Modeling of nonlinear effects in the theory of the flow of polymer liquids when superposition periodic oscillations on a stationary shear flow

Abstract

In the work, a mathematical model of the flow of polymer liquid is built in the mode of applying large oscillating oscillations to a stationary shift. For this, a modified rheological model of Vinogradov-Pokrovsky was chosen. A rheological model describing the flow of the polymer solution was obtained within the framework of a microstructural approach. Then, on its basis, a system of ordinary differential equations was formulated. The Runge-Kutt method was used to solve and analyze the resulting system of differential equations. The effect of frequency and amplitude of oscillations on shear voltages was investigated.