Pregled bibliografske jedinice broj: 1271108
Rigorous derivation of the Darcy boundary condition on the porous wall
Rigorous derivation of the Darcy boundary condition on the porous wall // Mathematical methods in the applied sciences, 46 (2023), 9; 11021-11042 doi:10.1002/mma.9166 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1271108 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Rigorous derivation of the Darcy boundary condition
on the porous wall
Autori
Marušić-Paloka, Eduard
Izvornik
Mathematical methods in the applied sciences (0170-4214) 46
(2023), 9;
11021-11042
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Porous boundary, viscous fluid, Stokes system, Darcy-type boundary condition, boundary layers
Sažetak
An effective boundary condition on a porous wall is derived, starting from basic principles of mechanics. Stokes system, governing the viscous flow through a reservoir with an array of small pores on the boundary, was studied, and the corresponding macroscopic model via rigorous asymptotic analysis is found. Under the assumption of periodicity of the pores, the effective boundary condition of the Darcy type is derived, using homogenization and boundary layer techniques. Further asymptotic analysis with respect to the porosity yields a recursive sequence of boundary value problems showing that the large pressure jump occurs on the boundary.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Eduard Marušić-Paloka
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
