Numerical Calculation of the Process Removal of Localized Convective Structures in a Layer of a Porous Medium

21st Winter School on Continuous Media Mechanics

计算机技术

Zagvozkin, T.N.^1 ; Lyubimova, T.P.^1^2

Institute of Continuous Media Mechanics UB RAS, Perm, Russia^1

Perm State University, Perm, Russia^2

关键词: Convective flow;    Critical value;    Horizontal layers;    Impermeable boundary;    Longitudinal pumping;    Numerical calculation;    Thermal convections;    Viscous incompressible fluids;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/581/1/012021/pdf
DOI  :  10.1088/1757-899X/581/1/012021

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Thermal convection in a flat horizontal layer of a porous medium with solid impermeable boundaries on which the heat flow is given is considered. The porous medium is saturated with a viscous incompressible fluid pumped along the layer. In the system under discussion, with a vertical heat flow inhomogeneous along the layer, localized convective structures may occur in the region where the heat flow exceeds the critical value corresponding to homogeneous heating from below and corresponding to the beginning of convection in the layer. With an increase in the rate of longitudinal pumping of the liquid through the layer, a transition from a state in which the localized convective structures are stable to a state in which the localized convective flow is completely washed out of the region of its excitation occurs. Calculations were performed in the framework of Darcy-Boussinesq. Results of the numerical calculation of the process removal of localized convective structures from the zone of its excitation with an increase in the rate of longitudinal pumping of liquid through the layer are presented. The map of the system state modes is obtained.