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Pregled bibliografske jedinice broj: 950811

Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe


Beneš, Michal; Pažanin, Igor; Radulović, Marko
Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe // Computers & mathematics with applications, 76 (2018), 2035-2060 doi:10.1016/j.camwa.2018.07.047 (međunarodna recenzija, članak, znanstveni)


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Naslov
Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe

Autori
Beneš, Michal ; Pažanin, Igor ; Radulović, Marko

Izvornik
Computers & mathematics with applications (0898-1221) 76 (2018); 2035-2060

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

Ključne riječi
Micropolar fluid ; Nonsteady flow ; Asymptotic analysis ; Higher-order effective model ; Error estimates.

Sažetak
In this paper we study a time-dependent flow of an incompressible micropolar fluid through a pipe with arbitrary cross-section. The effective behavior of the flow is found by means of rigorous asymptotic analysis with respect to the small parameter representing the pipe’s thickness. The complete asymptotic expansion (up to an arbitrary order) of the solution is constructed with detailed analysis of the boundary layers provided. The convergence of the expansion is proved justifying the usage of the formally derived asymptotic model.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (MaSiMo) (Marušić-Paloka, Eduard, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Igor Pažanin (autor)

Avatar Url Marko Radulović (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com doi.org

Citiraj ovu publikaciju:

Beneš, Michal; Pažanin, Igor; Radulović, Marko
Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe // Computers & mathematics with applications, 76 (2018), 2035-2060 doi:10.1016/j.camwa.2018.07.047 (međunarodna recenzija, članak, znanstveni)
Beneš, M., Pažanin, I. & Radulović, M. (2018) Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe. Computers & mathematics with applications, 76, 2035-2060 doi:10.1016/j.camwa.2018.07.047.
@article{article, author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko}, year = {2018}, pages = {2035-2060}, DOI = {10.1016/j.camwa.2018.07.047}, keywords = {Micropolar fluid, Nonsteady flow, Asymptotic analysis, Higher-order effective model, Error estimates.}, journal = {Computers and mathematics with applications}, doi = {10.1016/j.camwa.2018.07.047}, volume = {76}, issn = {0898-1221}, title = {Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe}, keyword = {Micropolar fluid, Nonsteady flow, Asymptotic analysis, Higher-order effective model, Error estimates.} }
@article{article, author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko}, year = {2018}, pages = {2035-2060}, DOI = {10.1016/j.camwa.2018.07.047}, keywords = {Micropolar fluid, Nonsteady flow, Asymptotic analysis, Higher-order effective model, Error estimates.}, journal = {Computers and mathematics with applications}, doi = {10.1016/j.camwa.2018.07.047}, volume = {76}, issn = {0898-1221}, title = {Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe}, keyword = {Micropolar fluid, Nonsteady flow, Asymptotic analysis, Higher-order effective model, Error estimates.} }

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


Citati:





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