Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method
DOI:
https://doi.org/10.71310/pcam.1_71.2026.03Keywords:
cylindrical porous medium, filtration, substance transport, Brinkman–Darcy model, adsorption, finite volume method, numerical simulationAbstract
This paper explores the numerical modeling of flow during filtration and transport of dissolved components in a cylindrical porous medium. The mathematical formulation is based on the axisymmetric Brinkman-Darcy equations describing hydrodynamic processes, as well as a system of equations for convective-diffusion transport taking into account adsorption on a solid matrix. The permeability of the porous medium is specified using the Kozeny-Carman model. The numerical solution is implemented using the finite volume method, which guarantees the fulfillment of conservation laws in each control volume. A computational algorithm for determining the distributions of pressure, velocities, and component concentrations is developed. The influence of porous structure parameters and adsorption kinetics characteristics on the efficiency and characteristics of the filtration process is studied.
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