Homogenization of a viscous incompressible two-phase fluid flow through a random rough-walled filter

[en] We consider a viscous incompressible two-phase fluid flow, governed by a Stokes system, in a domain containing a free fluid, a random filter of finite thickness, and the interface between them. The filter consists of vertical small diameter pipes with random rough sections. We suppose that, within each tube, the interface fluid-fluid admits a random structure. We construct boundary layers describing the flow at the interface between the free fluid and the filter and, using Γ-convergence methods, we study the asymptotic behavior of the fluid as the thickness of the filter tends to zero. We derive a macroscopic model with a viscous incompressible two-phase fluid flow in the free domain coupled with a Darcy law, connecting two-phase velocities on the permeable interface, all combined with random interface conditions linking the velocity in the free domain and that in the porous interface.

Disciplines :

Mathematics

Author, co-author :

El Jarroudi, Mustapha; Abdelmalek Essaadi University

Er-Riani, Mustapha; Abdelmalek Essaadi University

Lidouh, Abdeluaab; Mohammed 1st University

Filali, Youness; Abdelmalek Essaâdi University

El Jarroudi, Moussa ; Université de Liège - ULiège > Sphères

Language :

English

Title :

Homogenization of a viscous incompressible two-phase fluid flow through a random rough-walled filter

Publication date :

11 September 2026

Journal title :

Applicable Analysis

ISSN :

0003-6811

eISSN :

1026-7360

Publisher :

Informa UK Limited

Pages :

1-41

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.tandfonline.com/doi/pdf/10.1080/00036811.2026.2730436

Available on ORBi :

since 16 September 2026

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