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Analysis of the thin film flow in a rough domain filled with micropolar fluid


Pažanin, Igor; Suarez-Grau, Francisco-Javier
Analysis of the thin film flow in a rough domain filled with micropolar fluid // Computers & mathematics with applications, 68 (2014), 12 Part A; 1915-1932 doi:10.1016/j.camwa.2014.10.003 (međunarodna recenzija, članak, znanstveni)


Naslov
Analysis of the thin film flow in a rough domain filled with micropolar fluid

Autori
Pažanin, Igor ; Suarez-Grau, Francisco-Javier

Izvornik
Computers & mathematics with applications (0898-1221) 68 (2014), 12 Part A; 1915-1932

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

Ključne riječi
Thin-film flow; micropolar fluid; rough boundary; different scales; asymptotic expansion; two-scale convergence

Sažetak
Inspired by the lubrication framework, in this paper a micropolar fluid flow through a rough thin domain is studied. The domain's thickness is considered as the small parameter $\ep$, while the roughness is defined by a periodical function with period of order $\ep^{; ; ; ; 2}; ; ; ; $. Starting from three- dimensional micropolar equations and using asymptotic analysis with respect to $\ep$, we formally derive the macroscopic model clearly detecting the effects of the specific rugosity profile and fluid microstructure. We provide the rigorous justification of our formally obtained asymptotic model by deriving the effective system by means of the two-scale convergence.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372787-2797 - Asimptotičke metode u mehanici kontinuuma (Eduard Marušić-Paloka, )
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:


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


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