Liquid radial flows with a vortex through porous media

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Abstract

The filtration process is studied for a popular class of filters with radial cartridges that proved their high effectiveness in purification of water. The mass balance equation for radial flows in porous media is obtained by using the lattice approximation method, the transverse diffusion process being taken into account. The Euler dynamical equations are modified by including the Darcy force proportional to the velocity of the filtration flow. The system of equations is written for the stationary axially symmetric radial flow and solved by the perturbation method, if the vertical velocity is supposed to be small.

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1. Introduction. The mass balance equation in porous media The hydrodynamics of liquid flow in a porous medium modeling the grain filling in filters is studied [1- 11]. The main concept behind this research appears to be the necessity to modify the fundamental equations of hydrodynamics to meet the requirements of mass and momentum balance under specific conditions of liquid flows through porous media. As can be shown later, bearing on the lattice approximation, the structure of the fluid current and the transverse diffusion coefficient
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About the authors

Yuri P. Rybakov

RUDN University

Email: rybakov-yup@rudn.ru
ORCID iD: 0000-0002-7744-9725
Scopus Author ID: 16454766600
ResearcherId: S-4813-2018

Professor, Doctor of Sciences in Physics and Mathematics, Professor at the Institute of Physical Research and Technologies

6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation

Natalia V. Semenova

RUDN University

Author for correspondence.
Email: semenova-nv@rudn.ru
ORCID iD: 0000-0001-6894-6255
Scopus Author ID: 57200754585
ResearcherId: AAC-8298-2020

Junior member of teaching at the Institute of Physical Research and Technologies

6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation

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Copyright (c) 2024 Rybakov Y.P., Semenova N.V.

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