Exact solutions to the Navier–Stokes equations with couple stresses

ES Baranovskii, NV Burmasheva, EY Prosviryakov - Symmetry, 2021 - mdpi.com
This article discusses the possibility of using the Lin–Sidorov–Aristov class of exact solutions
and its modifications to describe the flows of a fluid with microstructure (with couple …

[PDF][PDF] Новый класс точных решений трехмерных уравнений термодиффузии

СН Аристов, ЕЮ Просвиряков - … основы химической технологии, 2016 - researchgate.net
Получен новый класс точных решений трехмерных уравнений термодиффузии вязкой
несжимае мой жидкости. Данный класс позволяет описывать распределение …

Convective layered flows of a vertically whirling viscous incompressible fluid. Velocity field investigation

BNY Vladimirovna, PE Yurevich - … университета. Серия Физико …, 2019 - cyberleninka.ru
This article discusses the solvability of an overdetermined system of heat convection
equations in the Boussinesq approximation. The Oberbeck-Boussinesq system of equations …

Unsteady layered vortical fluid flows

SN Aristov, EY Prosviryakov - Fluid Dynamics, 2016 - Springer
An exact time-dependent solution of the system of Navier–Stokes equations governing large-
scale viscous vortical incompressible flows is derived. The solution generalizes that …

Exact Solutions for Isobaric Inhomogeneous Couette Flows of a‎ Vertically Swirling Fluid

S Ershkov, E Prosviryakov… - Journal of Applied and …, 2023 - jacm.scu.ac.ir
The paper generalizes the partial class of exact solutions to the Navier–Stokes equations.
The proposed exact solution describes an inhomogeneous three-dimensional shear flow in …

Exact solutions to generalized plane Beltrami-Trkal and Ballabh flows

PE Yurevich - Вестник Самарского государственного …, 2020 - cyberleninka.ru
Nonstationary plane flows of a viscous incompressible fluid in a potential field of external
forces are considered. An elliptic partial differential equation is obtained, with each solution …

[HTML][HTML] Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation

BNY Vladimirovna, PE Yurevich - … университета. Серия Физико …, 2020 - cyberleninka.ru
The paper discusses a class of exact solutions of the Oberbeck-Boussinesq equations
suitable for describing three-dimensional nonlinear layered flows of a vertically swirling …

[PDF][PDF] Нестационарные слоистые течения завихренной жидкости

СН Аристов, ЕЮ Просвиряков - Изв. РАН. МЖГ, 2016 - researchgate.net
Найдено точное нестационарное решение системы уравнений Навье–Стокса,
описывающее крупномасштабные течения вязкой завихренной несжимаемой …

Vortex flows of a viscous incompressible fluid at constant vertical velocity under perfect slip conditions

VV Privalova, EY Prosviryakov - Diagnostics, Resource and …, 2019 - dream-journal.org
In this paper, we study exact solutions of shear flows for a viscous incompressible fluid. The
proposed solutions for the velocity components are linear functions of the longitudinal …

An inhomogeneous Couette-type flow with a perfect slip condition at the lower boundary of an infinite fluid layer

VV Privalova, EY Prosviryakov - AIP Conference Proceedings, 2019 - pubs.aip.org
In this paper, we investigate an exact solution to the three-dimensional problem of an
isobaric flow of a viscous incompressible fluid layer. The solution is a linear function of the …