Exact solutions for layered large-scale convection induced by tangential stresses specified on the free boundary of a fluid layer

Winter School on Continuous Media Mechanics

Burmasheva, N.V.^1,2 ; Prosviryakov, E.Yu.^2,3

Ural Federal University, 19 Mira Street, Ekaterinburg

620002, Russia^1

Institute of Engineering Science, 34 Komsomolskya Street, Ekaterinburg

620049, Russia^2

Kazan National Research Technical University, 10 K.Marx Street, Kazan

420111, Russia^3

关键词: Hydrodynamic field;    Infinite-layer;    New exact solutions;    Stagnation points;    Tangential stress;    Temperature correction;    Thermocapillary convection;    Viscous incompressible fluids;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/208/1/012010/pdf
DOI  :  10.1088/1757-899X/208/1/012010

来源: IOP

【 摘 要 】

A new exact solution for layered convection of a viscous incompressible fluid is found in this paper. A fluid flow in an infinite layer is considered. Convection in the fluid is induced by tangential stresses specified on the upper non-deformable boundary. Temperature corrections are given on the both boundaries of the fluid layer. The analysis of hydrodynamic fields allows us to state the presence of two stagnant points in the flow of a fluid. It is shown that, in the case of thermocapillary convection in a fluid, only one stagnation point can exist.