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Kirillov, V.A., Kuzmin, V.A., Pyanov, V.I. and Khanaev, V.M. (1979) On the Velocity Profile in a Fixed Granular Layer. DAN SSSR, 245, 159-162.

has been cited by the following article:

• TITLE: Influence of the Form of Porous Insert in the Flow of a Viscous Liquid in a Plane Pipe

  AUTHORS: Umurdin Dalabaev

  KEYWORDS: Filtration, Rahmatulin Equation, Fluid-Porous Interface

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.2, February 21, 2022

  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.