Journal of Applied Mathematics

Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity

Eduard Marušić-Paloka and Igor Pažanin

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 217174, 8 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305910

Digital Object Identifier
doi:10.1155/2014/217174

Mathematical Reviews number (MathSciNet)
MR3240611

Zentralblatt MATH identifier
1326.35244

Citation

Marušić-Paloka, Eduard; Pažanin, Igor. Asymptotic Modeling of the Thin Film Flow with a Pressure-Dependent Viscosity. J. Appl. Math. 2014 (2014), Article ID 217174, 8 pages. doi:10.1155/2014/217174. https://projecteuclid.org/euclid.jam/1425305910


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