Nonlinear isobaric flow of a viscous incompressible fluid in a thin layer with permeable boundaries

Автор: Privalova Valentina Viktorovna, Prosviryakov Evgeniy Yuryevich

Журнал: Вычислительная механика сплошных сред @journal-icmm

Статья в выпуске: 2 т.12, 2019 года.

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A new exact solution of the Navier-Stokes equations system is investigated. This solution describes an isobaric three-dimensional nonlinear flow of a viscous incompressible fluid in an infinite horizontal layer with permeable boundaries. Permeable layer boundaries allow one to realize fluid suction or injection in a vertical direction. Thus, a generalization of the non-uniform layered Couette-type flow to the three-dimensional case is obtained. The announced exact solution belongs to the Lin class. The velocity field is a linear form with respect to two spatial horizontal coordinates with coefficients depending on the third (transverse) coordinate in this class. The obtained exact solution describes a three-dimensional flow of a vertically vortex fluid, which can be used to describe large-scale processes in oceanology and in atmospheric physics. The obtained exact solution describes a large-scale flow of a vertical vortex fluid in the thin layer approximation. Vertical twist in a non-rotating fluid arises due to the inclusion of inertial forces in the motion equations and the velocities inhomogeneous distribution on the upper non-deformable permeable boundary of the layer...

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Exact solution, permeable boundaries, vertical vortex, counterflow, stagnation point, navier slip condition

Короткий адрес: https://sciup.org/143167079

IDR: 143167079   |   DOI: 10.7242/1999-6691/2019.12.2.20

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