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Analysis of the thin film flow in a rough domain filled with micropolar fluid (CROSBI ID 209504)

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Pažanin, Igor ; Suarez-Grau, Francisco-Javier Analysis of the thin film flow in a rough domain filled with micropolar fluid // Computers & mathematics with applications, 68 (2014), 12 Part A; 1915-1932. doi: 10.1016/j.camwa.2014.10.003

Podaci o odgovornosti

Pažanin, Igor ; Suarez-Grau, Francisco-Javier

engleski

Analysis of the thin film flow in a rough domain filled with micropolar fluid

Inspired by the lubrication framework, in this paper a micropolar fluid flow through a rough thin domain is studied. The domain's thickness is considered as the small parameter $\ep$, while the roughness is defined by a periodical function with period of order $\ep^{; ; ; ; 2}; ; ; ; $. Starting from three- dimensional micropolar equations and using asymptotic analysis with respect to $\ep$, we formally derive the macroscopic model clearly detecting the effects of the specific rugosity profile and fluid microstructure. We provide the rigorous justification of our formally obtained asymptotic model by deriving the effective system by means of the two-scale convergence.

thin-film flow; micropolar fluid; rough boundary; different scales; asymptotic expansion; two-scale convergence

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Podaci o izdanju

68 (12 Part A)

2014.

1915-1932

objavljeno

0898-1221

10.1016/j.camwa.2014.10.003

Povezanost rada

Matematika

Poveznice
Indeksiranost