Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe (CROSBI ID 253942)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Beneš, Michal ; Pažanin, Igor ; Radulović, Marko
engleski
Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe
In this paper we study a time-dependent flow of an incompressible micropolar fluid through a pipe with arbitrary cross-section. The effective behavior of the flow is found by means of rigorous asymptotic analysis with respect to the small parameter representing the pipe’s thickness. The complete asymptotic expansion (up to an arbitrary order) of the solution is constructed with detailed analysis of the boundary layers provided. The convergence of the expansion is proved justifying the usage of the formally derived asymptotic model.
Micropolar fluid ; Nonsteady flow ; Asymptotic analysis ; Higher-order effective model ; Error estimates.
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Podaci o izdanju
76
2018.
2035-2060
objavljeno
0898-1221
1873-7668
10.1016/j.camwa.2018.07.047