Pregled bibliografske jedinice broj: 1103645
Rigorous derivation of a higher-order model describing the nonsteady flow of a micropolar fluid in a thin pipe
Rigorous derivation of a higher-order model describing the nonsteady flow of a micropolar fluid in a thin pipe // Book of abstracts of the Conference Ninth Conference on Applied Mathematics and Scientific Computing
Šibenik, Hrvatska, 2018. str. 44-44 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Rigorous derivation of a higher-order model
describing the nonsteady flow of a micropolar
fluid in a thin pipe
Autori
Beneš, Michal ; Pažanin, Igor ; Radulović, Marko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of abstracts of the Conference Ninth Conference on Applied Mathematics and Scientific Computing
/ - , 2018, 44-44
Skup
Book of abstracts of the Conference Ninth Conference on Applied Mathematics and Scientific Computing
Mjesto i datum
Šibenik, Hrvatska, 17.09.2018. - 20.09.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
asymptotic analysis ; thin pipe ; micropolar fluid
Sažetak
This is a joint work with Prof. Michal Beneš and Prof. Igor Pažanin. In this talk, we will present a rigorous derivation of the model describing the nonsteady flow of a micropolar fluid through a pipe with arbitrary cross-section. Based on the existence and uniqueness result for the nonstationary micropolar Poiseuille solution in an infinite cylinder, we will construct a complete asymptotic expansion of the solution up to an arbitrary order, study the boundary layers in time and justify the usage of the formally derived asymptotic model via error estimate. Finally, we will present some numerical examples in the case of a circular cross-section and external force functions depending only on time.
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
