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 | References | Similar Articles | Additional Information

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