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

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 obtain...

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Bibliographic Details
Main Authors: Rudakov, Gleb O., Laas, Aleksandr A., Makarova, Mariya A., Malygina, Anzhela S., Pyshnograi, Grigoriy V.
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Mathematical models
Ordinary differential equations
Oscillations
Polymers
Rheological properties
Rheology
Shear flow
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0060935