Naslov
Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics

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

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

Izvornik
Book of abstracts - 7th Croatian Mathematical Congress / - Split, 2022, 71-71

Skup
7th Croatian Mathematical Congress

Mjesto i datum
Split, Hrvatska, 15.06.2022. - 18.06.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Micropolar fluid ; Unsteady flow ; Nonzero boundary condition ; Existence and uniqueness result ; Asymptotic approximation

Sažetak
In this talk, we consider the unsteady flow of a micropolar fluid through a thin pipe with the nonzero boundary condition for microrotation. We consider the well-posedness of the corresponding initial-boundary value problem governing the flow. Then, using asymptotic analysis with respect to the pipe’s thickness, we construct the higher-order approximation of the solution. The proposed approximation is given in explicit form, taking into account the effects of the boundary conditions, the micropolar nature of the fluid as well as the time derivative. A detailed study of the boundary layers in the vicinity of the pipe’s ends is also provided along with a numerical example illustrating the behaviour of the derived asymptotic solution.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA