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## Homogenization of the Darcy-Lapwood-Brinkman flow in a thin domain with highly oscillating boundaries

Pažanin, Igor; Suarez-Grau, Francisco Javier
Homogenization of the Darcy-Lapwood-Brinkman flow in a thin domain with highly oscillating boundaries // Bulletin of the Malaysian Mathematical Sciences Society, 42 (2019), 6; 3073-3109 (međunarodna recenzija, članak, znanstveni)

Naslov
Homogenization of the Darcy-Lapwood-Brinkman flow in a thin domain with highly oscillating boundaries

Autori
Pažanin, Igor ; Suarez-Grau, Francisco Javier

Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 42 (2019), 6; 3073-3109

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Darcy-Lapwood-Brinkman equation ; thin domain ; highly oscillating boundary ; unfolding method

Sažetak
In this paper we investigate the flow through a thin corrugated domain filled with fluid saturated porous medium. The porous medium flow is described by the nonlinear Darcy-Lapwood- Brinkman model acknowledging the viscous shear and the inertial effects. The thickness of the domain is assumed to be of the same small order $\varepsilon$ as the period of the oscillating boundaries. Depending on the magnitude of the permeability with respect to $\varepsilon$, we rigorously derive different asymptotic models and compare the results with the non- oscillatory case. We employ a homogenization technique based on the adaption of the unfolding method and deduce the influence of the porous structure and boundary oscillations on the effective flow.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Pažanin, (267385)

#### Časopis indeksira:

• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Scopus