Naslov
Asymptotic analysis of the nonstationary flow of micropolar fluid in a thin curved pipe

Autori
Pažanin, Igor ; Radulović, Marko

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

Izvornik
Simpozij studenata doktorskih studija PMF-a 2019. / - , 2019, 1-1

Skup
Simpoziju studenata doktorskih studija PMF-a 2019.

Mjesto i datum
Zagreb, Hrvatska, 22.02.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
asymptotic analysis ; curved thin pipe ; micropolar fluid

Sažetak
We present the model for the nonstationary flow of a micropolar fluid in a thin (or long) curved pipe. [1] We use the Germano's reference system in order to describe the geometry of the pipe. We write the equations in curvilinear coordinates, construct the second-order asymptotic approximation, study the boundary layers in space and justify the model via error estimates. The theory of micropolar fluids was introduced in the 1960's by Eringen [2] in order to describe the microstructure of the fluid and its effect on the flow, which is neglected in the classical Navier- Stokes model. Due to the practical application of the micropolar fluid model u domains including pipes in many different scientific areas of interest, primarily in biomedicine for modeling the blood flow through blood vessels, the presentation will be directed at the mathematical and engineering aspects of the model. 1. I. Pažanin, M. Radulović, Appl. Anal. (2018) 49. 2. A. C. Eringen, J. Appl. Math. Mech. 16 (1966) 1- 18.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA