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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2024 Issue 5(143)S, Pages 1–12 (Mi irj687)

DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS AND OPTIMAL CONTROL

Wind influence on convective flow of viscous incompressible vertically swirling fluid

A. V. Dyachkova, N. V. Burmasheva, E. Yu. Prosviryakov

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: The article is dedicated to the study of the effect of wind influence on the convective flow of a viscous, incompressible vertically swirling fluid. The study is carried out using a mathematical model describing this flow. The authors analyse the influence of wind parameters on the main characteristics of convective flow, such as velocity, degree of vorticity, temperature and pressure.This work presents an analytical solution of the system of differential equations describing a stationary convective fluid flow for the velocity field from the class of solutions linear in part of the variables.The results obtained increase our knowledge of the processes occurring in the environment and may be useful for further research in the field of hydrodynamics and hydrodynamic stability.

Keywords: shear flow, Oberbeck-Bussinesque system, overdetermined system, exact solution, countercurrent, stratification.

DOI: 10.60797/IRJ.2024.143.180



© Steklov Math. Inst. of RAS, 2025