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

Poyiadji, Stella, Georgiou, Georgios C., Kaouri, Katerina ORCID: https://orcid.org/0000-0002-9850-253X and Housiadas, Kostas D. 2012. Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall. Rheologica Acta 51 (6) , pp. 497-510. 10.1007/s00397-012-0618-x

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	0035-4511
Date of First Compliant Deposit:	17 May 2018
Last Modified:	23 Oct 2022 13:43
URI:	https://orca.cardiff.ac.uk/id/eprint/111530

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