Name
Abstract | ||
|---|---|---|
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 ε, while the roughness is defined by a periodical function with period of order ε2. Starting from three-dimensional micropolar equations and using asymptotic analysis with respect to ε, 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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.camwa.2014.10.003 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Thin-film flow,Micropolar fluid,Rough boundary,Different scales,Asymptotic expansion,Two-scale convergence | Lubrication,Convergence (routing),Mathematical optimization,Mathematical analysis,Flow (psychology),Asymptotic expansion,Fluid dynamics,Rugosity,Surface finish,Asymptotic analysis,Mathematics | Journal |
Volume | Issue | ISSN |
68 | 12 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Igor Pažanin | 1 | 5 | 4.20 |
| Francisco Javier Suárez-Grau | 2 | 0 | 0.68 |
| Suárez-GrauFrancisco Javier | 3 | 0 | 0.34 |