Naslov
The effective boundary condition on a porous wall

Autori
Pažanin, Igor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
7th Croatian Mathematical Congress / Ćurković, Andrijana - Split : Mathematical Society : University of Split, Faculty of Science, 2022, 1-2

ISBN
978-953-7155-24-7

Skup
7th Croatian Mathematical Congress

Mjesto i datum
Split, Hrvatska, 15.06.2022. - 18.06.2022

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Porous wall ; Effective boundary condition ; Viscous flow ; Darcy law ; Beavers–Joseph law

Sažetak
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. Starting from the Stokes system in a domain with an array of small holes on the boundary and using the homogenization and the boundary layers, we find an effective law in the form of the generalized Darcy law. If the pores geometry is isotropic, then the condition splits in Beavers-Joseph type condition for the tangential flow and the standard Darcy condition for the normal flow. We will also study the roughness-induced effects on the proposed Darcy-type boundary condition. (joint work with Eduard Marušić-Paloka)

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA