Article

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

B. Kh. KhuzhayorovDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, 15, University Blvd., Samarkand 140104, UZBEKISTANT. O. DzhiyanovDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, 15, University Blvd., Samarkand 140104, UZBEKISTANA. ShDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, 15, University Blvd., Samarkand 140104, UZBEKISTAN

WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICSjournal2025en

ABI

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.

Topics

Fractional Differential Equations Solutions Differential Equations and Numerical Methods Nonlocal and gradient elasticity in micro/nano structures

Identifiers

DOI: 10.37394/232011.2025.20.19

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