Abstract
Filtration of an incompressible liquid (gas) in a non-deformable porous medium is investigated. The results of numerical simulation of the hydrodynamic features of the flow arising after the passage of the liquid through a layer of an immobile porous medium are presented. An interpenetrating model of multiphase media is used to describe such flows. Kozeny-Karman relations are used as the interaction force. The influence of the geometrical shape of the bulk layer on the nature and magnitude of the inhomogeneity of the flow velocity around the obstacle is shown. The shape of the porous medium significantly affects the flow parameters. Numerical simulation results are compared with experimental data. The shape of the porous medium significantly affects the flow parameters. Numerical simulation results are compared with experimental data. The effects of non-uniformity of the fluid velocity field arising due to the shape of the layer surface are investigated by the methods of a computational experiment. A qualitative comparison is made of velocity inhomogeneities when a fluid flows through a porous obstacle. For the numerical implementation of the filtration equation of the interpenetrating model, a SIMPLE-like algorithm was used.
Highlights
In natural phenomena and processes, the interaction of a liquid or gas flow with heterogeneous media is observed
Numerical simulation results are compared with experimental data
In [18], numerical results were obtained for the problem of flow through a fixed porous layer on the basis of an interpenetrating model with an interaction force in the form of Kozeny-Karman
Summary
In natural phenomena and processes, the interaction of a liquid or gas flow with heterogeneous media is observed. When simulating hydrodynamic processes in a layer of a granular medium, the layer creates significant hydrodynamic resistance In this case, directly behind the layer, a flow inhomogeneity is formed. The work [15] is devoted to the influence of the curvature of the granular layer on the structure of the viscous flow In this case, an “M”-shaped profile of the velocity behind the layer was obtained. In [18], numerical results were obtained for the problem of flow through a fixed porous layer on the basis of an interpenetrating model with an interaction force in the form of Kozeny-Karman. This work is devoted to the study of the processes of redistribution of the fluid flow in a layer of a stationary granular medium with various types of layer arrangement while observing the interaction force in the Kozeny-Karman form
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