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Rheologica Acta
Erschienen in: Rheologica Acta 6/2012

01.06.2012 | Original Contribution

Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall

verfasst von: Stella Poyiadji, Georgios C. Georgiou, Katerina Kaouri, Kostas D. Housiadas

Erschienen in: Rheologica Acta | Ausgabe 6/2012

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Abstract

We consider both the planar and axisymmetric steady, laminar Poiseuille flows of a weakly compressible Newtonian fluid assuming that slip occurs along the wall following Navier’s slip equation and that the density obeys a linear equation of state. A perturbation analysis is performed in terms of the primary flow variables using the dimensionless isothermal compressibility as the perturbation parameter. Solutions up to the second order are derived and compared with available analytical results. The combined effects of slip, compressibility, and inertia are discussed with emphasis on the required pressure drop and the average Darcy friction factor.
Vorheriger Artikel An intriguing empirical rule for computing the first normal stress difference from steady shear viscosity data for concentrated polymer solutions and melts
Nächster Artikel Laminar axisymmetric flow of a weakly compressible viscoelastic fluid

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Metadaten
Titel
Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall
verfasst von
Stella Poyiadji
Georgios C. Georgiou
Katerina Kaouri
Kostas D. Housiadas
Publikationsdatum
01.06.2012
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 6/2012
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-012-0618-x

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