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Rigorous derivation of the asymptotic model describing a steady thermomicropolar fluid flow through a curvilinear channel (CROSBI ID 312840)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pažanin, Igor ; Radulović, Marko ; Rukavina, Borja Rigorous derivation of the asymptotic model describing a steady thermomicropolar fluid flow through a curvilinear channel // Zeitschrift für angewandte Mathematik und Physik, 73 (2022), 195, 25. doi: 10.1007/s00033-022-01831-8

Podaci o odgovornosti

Pažanin, Igor ; Radulović, Marko ; Rukavina, Borja

engleski

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

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.

Thermomicropolar fluid ; Curvilinear channel ; Asymptotic approximation ; Error estimates

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Podaci o izdanju

73

2022.

195

25

objavljeno

0044-2275

1420-9039

10.1007/s00033-022-01831-8

Povezanost rada

Matematika

Poveznice
Indeksiranost