Khuzhayorov B., Dzhiyanov T., Akramov Sh., "Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 20, pp. 165-174, 2025, DOI:10.37394/232011.2025.20.19
Khuzhayorov B., Dzhiyanov T., Akramov Sh.. Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium.
WSEAS Transactions on Applied and Theoretical Mechanics. 2025;20:165-174. 10.37394/232011.2025.20.19
WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 20, 2025
Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium
Authors: , ,
Abstract: In this paper, the anomalous filtration of a homogeneous fluid in a homogeneous porous medium is considered. A model of anomalous fluid filtration, composed using the fractional differentiation apparatus, is then numerically analyzed. Problems with constant, exponential, and sinusoidal boundary conditions are considered. The influence of the anomaly on the distribution of the pressure field and filtration velocity is estimated.
Keywords:
Anomalous filtration, anomalous Darcy's law, filtration velocity, fractional derivative, one-dimensional, porous media
Pages: 165-174 WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 20, 2025, Art. #19 DOI: 10.37394/232011.2025.20.19
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