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

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Marušić-Paloka, Eduard ; Pažanin, Igor (2014)
  • Publisher: Hindawi Publishing Corporation
  • Journal: Journal of Applied Mathematics (issn: 1110-757X, eissn: 1687-0042)
  • Related identifiers: doi: 10.1155/2014/217174
  • Subject: Mathematics | QA1-939 | Article Subject
    arxiv: Physics::Fluid Dynamics

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 wit... View more
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