K. V. Gubareva, E. Yu. Prosviryakov

NUMERICAL MODELING AND PARAMETRIC ANALYSIS OF COUETTE FLOW IN FLUIDS WITH COUPLE STRESSES

A systematic parametric analysis of the generalized Couette flow within a micropolar fluid model with couple stresses is presented. The study is based on exact analytical solutions implemented in the Matlab R2023b environment, and it covers a wide range of dimensionless parameters, namely the couple viscosity coefficient s ∈ [0.03; 5.0], the Reynolds number Re ∈ [30; 250], and the Taylor number Ta ∈ [10; 250]. Point-wise and integral deviation metrics are used to compare the classical and micropolar flows. A dimensionless characteristic defined as the ratio of the average velocity to the maximum velocity gradient is introduced. The results allow us to assess quantitatively the
applicability limits for the Newtonian model and to reveal flow regimes where microstructural effects become determinant. The obtained correlations are of practical importance for modeling complex fluids in microfluidic and biomedical systems.

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