Maxmudov J., Usmonov A., Akramov Sh., Gaybulov Yu., "Anomalous Filtration in a Rectangular Medium," WSEAS Transactions on Fluid Mechanics, vol. 21, pp. 78-84, 2026, DOI:10.37394/232013.2026.21.7
Maxmudov J., Usmonov A., Akramov Sh., Gaybulov Yu.. Anomalous Filtration in a Rectangular Medium.
WSEAS Transactions on Fluid Mechanics. 2026;21:78-84. 10.37394/232013.2026.21.7
WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 21, 2026
Anomalous Filtration in a Rectangular Medium
Authors: , , ,
Abstract: In this paper, the problem of anomalous filtration of a homogeneous fluid in a two-dimensional porous medium is considered. The conductivity equation is given by a fractional derivative in two dimensions. An anomalous model of fluid filtration in two dimensions is numerically analyzed. The problem of constant pressure at the boundary is considered. The effect of the anomaly on the pressure field distribution and the filtration rate is evaluated.
Keywords:
Anomalous filtration, anomalous Darcy's law, filtration velocity, fractional derivative, one- dimensional, porous media
Pages: 78-84 WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 21, 2026, Art. #7 DOI: 10.37394/232013.2026.21.7
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