Naslov
Rigorous derivation of the asymptotic model describing a steady thermomicropolar fluid flow through a curvilinear channel

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

Izvornik
Zeitschrift für angewandte Mathematik und Physik (0044-2275) 73 (2022); 195, 25

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

Ključne riječi
Thermomicropolar fluid ; Curvilinear channel ; Asymptotic approximation ; Error estimates

Sažetak
In this paper, we consider the steady flow of a thermomicropolar fluid through a thin curvilinear channel. The flow is governed by the prescribed pressure drop between the channel’s ends. The heat exchange between the fluid inside the channel and the exterior medium is allowed through the upper curved wall, while the lower wall is insulated. Using asymptotic analysis with respect to the domain’s thickness, we compute the asymptotic approximation of the solution. The derived solution is obtained in explicit form, allowing us to clearly observe the effects of the curvature of the domain as well as the micropolarity of the fluid. A boundary layer analysis is provided for the microrotation. The proposed effective model is rigorously justified via error estimates in suitable norms.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA