Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Piezo-viscous flows over an inclined surface

Authors: G. Saccomandi and L. Vergori
Journal: Quart. Appl. Math. 68 (2010), 747-763
MSC (2000): Primary 76A20; Secondary 76A02
DOI: https://doi.org/10.1090/S0033-569X-2010-01202-2
Published electronically: October 15, 2010
MathSciNet review: 2761242
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Abstract: Stokes was the first to recognize that the viscosity of many fluids varies significantly with pressure. Later, several experimental studies showed that such a variation may be exponential. Here, by using the lubrication theory as revised by Rajagopal and Szeri, we study the flow of a piezo-viscous fluid down an incline in various flow regimes.

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Additional Information

G. Saccomandi
Affiliation: Dipartimento di Ingegneria Industriale, Università di Perugia, Via G. Duranti, 06125 Italy
Email: saccomandi@mec.dii.unipg.it

L. Vergori
Affiliation: Dipartimento di Matematica, Università del Salento, Strada Prov. Lecce-Arnesano, 73100 Lecce, Italy
Email: luigi.vergori@unile.it

DOI: https://doi.org/10.1090/S0033-569X-2010-01202-2
Keywords: Lubrication approximation, pressure-dependent viscosity, Barus’ law.
Received by editor(s): April 1, 2009
Published electronically: October 15, 2010
Article copyright: © Copyright 2010 Brown University

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