On the Forchheimer‐extended Darcy‐Brinkman flow through a thin fracture

In this paper, we study the flow through a thin fracture filled with fluid‐saturated sparsely packed porous medium. The problem is described by the Forchheimer extended Darcy‐Brinkman model incorporating the quadratic drag term as a result of the inertial effects. Employing asymptotic analysis with...

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Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Mechanik Vol. 104; no. 3
Main Authors Pažanin, Igor, Radulović, Marko
Format Journal Article
LanguageEnglish
Published Weinheim Wiley Subscription Services, Inc 01.03.2024
Subjects
Brinkman model
Error analysis
Porous media
Pressure distribution
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Summary:In this paper, we study the flow through a thin fracture filled with fluid‐saturated sparsely packed porous medium. The problem is described by the Forchheimer extended Darcy‐Brinkman model incorporating the quadratic drag term as a result of the inertial effects. Employing asymptotic analysis with respect to the fracture's thickness, we derive the higher‐order approximation for the velocity and pressure distribution explicitly acknowledging the Forchheimer (inertial) term. We provide numerical example as well and perform a rigorous error analysis to indicate the order of accuracy of the proposed approximate solution.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.202300541