Exact Solutions for Stationary and Unsteady Layered Convection of a Viscous Incompressible Fluid with the Specified Velocities at the Bottom

Winter School on Continuous Media Mechanics

Prosviryakov, E Yu.^1,2 ; Spevak, L.F.^1

Institute of Engineering Science, Ural Branch, Russian Academy of Sciences, 34 Komsomolskaya St., Ekaterinburg

620049, Russia^1

Federal State Budgetary Educational Institution of Higher Education, Kazan National Research Technical University Named after A.N.Tupolev-KAI, K.Marx Street 10, Kazan

420111, Russia^2

关键词: Boussinesq system;    Convective flow;    Exact solution;    Fluid velocities;    Infinite-layer;    Local extremum;    Nonstationary;    Viscous incompressible fluids;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/208/1/012035/pdf
DOI  :  10.1088/1757-899X/208/1/012035

来源: IOP

【 摘 要 】

The layered convective flow of a viscous incompressible fluid is considered with the specified velocities at the bottom of an infinite layer. A new exact stationary and nonstationary solution of the Oberbeck-Boussinesq system is presented. The account of fluid velocity at the bottom is characterized by the presence of two stagnant points, this being indicative of the nonmonotonic kinetic energy profile with two local extrema.