Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity
We study the lubrication process with incompressible fluid taking into account the dependence of the viscosity on the pressure. Assuming that the viscosity-pressure relation is given by the well-known Barus law, we derive an effective model using asymptotic analysis with respect to the film thicknes...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/217174 |
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| author | Eduard Marušić-Paloka Igor Pažanin |
| author_facet | Eduard Marušić-Paloka Igor Pažanin |
| author_sort | Eduard Marušić-Paloka |
| collection | DOAJ |
| description | We study the lubrication process with incompressible fluid taking into account the dependence of the viscosity on the pressure. Assuming that the viscosity-pressure relation is given by the well-known Barus law, we derive an effective model using asymptotic analysis with respect to the film thickness. The key idea is to conveniently transform the governing system and then apply two-scale expansion technique. |
| format | Article |
| id | doaj-art-2a99bf224e274fcf839e5d43b1a39c9a |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2a99bf224e274fcf839e5d43b1a39c9a2025-08-20T02:04:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/217174217174Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent ViscosityEduard Marušić-Paloka0Igor Pažanin1Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, CroatiaDepartment of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, CroatiaWe study the lubrication process with incompressible fluid taking into account the dependence of the viscosity on the pressure. Assuming that the viscosity-pressure relation is given by the well-known Barus law, we derive an effective model using asymptotic analysis with respect to the film thickness. The key idea is to conveniently transform the governing system and then apply two-scale expansion technique.http://dx.doi.org/10.1155/2014/217174 |
| spellingShingle | Eduard Marušić-Paloka Igor Pažanin Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity Journal of Applied Mathematics |
| title | Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity |
| title_full | Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity |
| title_fullStr | Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity |
| title_full_unstemmed | Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity |
| title_short | Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity |
| title_sort | asymptotic modeling of the thin film flow with a pressure dependent viscosity |
| url | http://dx.doi.org/10.1155/2014/217174 |
| work_keys_str_mv | AT eduardmarusicpaloka asymptoticmodelingofthethinfilmflowwithapressuredependentviscosity AT igorpazanin asymptoticmodelingofthethinfilmflowwithapressuredependentviscosity |