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

Autori
Pažanin, Igor ; Radulović, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of abstracts of the Conference Multiscale Modeling in Fluid Mechanics and Fluid-Structure Interaction / - , 2019, 1-1

Skup
Multiscale Modeling in Fluid Mechanics and Fluid- Structure Interaction

Mjesto i datum
Vilnius, Litva, 07.10.2019. - 11.10.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
asymptotic analysis ; curved thin pipe ; micropolar fluid

Sažetak
In this talk, we present the rigorous derivation of the asymptotic model describing a nonsteady flow of a micropolar fluid through a thin (or long) curved pipe [1]. Using Germano's reference system to describe the pipe's geometry, we write the micropolar fluid equations in curvilinear coordinates, construct a second order asymptotic expansion, study the boundary layers in space and provide the rigorous justification of the model via error estimate between the original solution and the constructed asymptotic approximation. This work is an extension of the model derived for the nonsteady flow of a micropolar fluid through a thin undeformed pipe [2]. Due to the practical importance of the micropolar fluid model in biomedicine and blood flow modeling, the talk will be focused on mathematical as well as engineering aspects of the model. References: [1] Pažanin I., Radulović M., Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe, Applicable Analysis, doi:10.1080/00036811.2018.1553036, 1-48, 2018. [2] Beneš M., Pažanin I., Radulović, M., Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe, Computers and Mathematics with Applications, 76(9): 2035-2060, 2018.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA