Mathematical model of the acceleration laminar flow of a newtonian fluid in an anisotropic porous channel of rectangular cross section

V. I. Ryazhskih ; A. V. Keller ; A. V. Ryazhskikh ; A. V. Nikolenko ; S. V. Dakhin

Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 13 (2020) no. 3, pp. 17-28

Résumé

Based on the Darcy–Brinkman–Forchchimer equations without taking into account the inertia and assuming the unity of the synthesis of the synthesized three-dimensional mathematical model of the accelerating-laminar flow of a viscous incompressible fluid in an anisotropic origin of a rectangular section, taking into account the time of creation of a constant pressure. In order to investigate and analyze the orthopedic structure, all diagonal components were found to determine the primary and boundary value problems for the momentum equations, which solve analytically semilacial and finite Fourier integral sine transforms. It is believed that the application of the developed model for estimating time and differences depending on the time it takes to reach constant pressure gradients, permeability coefficients, and the angle of inclination in an anisotropic system.

Détail

Keywords: mathematical model, porosity, anisotropy, permeability, channel with a rectangular cross-section, viewing time.

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