May 22 – 25, 2023
Europe/London timezone

The Darcy-type boundary condition on a porous wall

May 25, 2023, 2:00 PM
15m
Oral Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes MS07

Speaker

Prof. Igor Pažanin (Department of Mathematics, Faculty of Science, University of Zagreb, Croatia)

Description

The aim of this talk is to present the derivation of the new effective boundary condition for the fluid flow in a domain with porous boundary. We start from the Stokes system in a domain with an array of small holes on the boundary and on each hole we impose an appropriate dynamic condition, namely the value of the normal stress corresponding to the exterior conditions. The goal is to obtain the effective model by studying the convergence of the homogenization procedure, as the period of the porous boundary tends to zero. As a result of our analysis, we propose the interface condition in the form of the generalized Darcy law. If no further assumptions are made concerning the isotropy of the geometry of the porous boundary, the obtained result generalizes the Beavers-Joseph condition. In the second part of the talk, we shall also study the roughness-induced effects on the proposed Darcy-type boundary condition.

References

E. Marušić-Paloka, I. Pažanin, The effective boundary condition on a porous wall, International Journal of Engineering Science 173 (2022), 103638, pp. 1-12.

Participation In-Person
Country Croatia
MDPI Energies Student Poster Award No, do not submit my presenation for the student posters award.
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Primary authors

Prof. Igor Pažanin (Department of Mathematics, Faculty of Science, University of Zagreb, Croatia) Prof. Eduard Marušić-Paloka (Department of Mathematics, Faculty of Science, University of Zagreb, Croatia)

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