Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium

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.

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Journal
WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
Published
2025-11-25
DOI
https://doi.org/10.37394/232011.2025.20.19
Primary Topic
Fractional Differential Equations Solutions
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article
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article

Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium

B. Kh. Khuzhayorov, T. O. Dzhiyanov, A. Sh
WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
Fractional Differential Equations Solutions
article

Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium

B. Kh. Khuzhayorov, T. O. Dzhiyanov, A. Sh
article en

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.

WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICSVol. 20
Samarkand State University named after Sharof Rashidov (UZ)
Openalex Percentile: Top 60%
Fractional Differential Equations Solutions
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Model of Anomalous Fluid Filtration in a One-Dimensional Homogeneous Porous Medium — B. Kh. Khuzhayorov, T. O. Dzhiyanov, et al. · WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS (2025) | TGRS Research Map | TGRS