Naslov
Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe

Autori
Pažanin, Igor ; Radulović, Marko

Izvornik
Applicable analysis (0003-6811) 99 (2020), 12; 2045-2092

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

Ključne riječi
micropolar fluid ; curved pipe ; nonsteady flow ; asymptotic expansion ; error analysis

Sažetak
We consider the nonsteady flow of a micropolar fluid in a thin (or long) curved pipe via rigorous asymptotic analysis. Germano's reference system is employed to describe the pipe's geometry. After writing the governing equations in curvilinear coordinates, we construct the asymptotic expansion up to a second order. Obtained in the explicit form, the asymptotic approximation clearly demonstrates the effects of pipe's distortion, micropolarity and the time derivative. A detailed study of the boundary layers in space is provided as well as the construction of the divergence correction. Finally, a rigorous justification of the proposed effective model is given by proving the error estimates.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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