On generalized Newtonian fluids in curved pipes

Nadir Arada

doi:10.1137/140964709

On generalized Newtonian fluids in curved pipes

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Abstract

This paper is concerned with steady, fully developed motion of a Navier-Stokes fluid with shear-dependent viscosity in a curved pipe under a given axial pressure gradient. We establish existence and uniqueness results, derive appropriate estimates, and prove a characterization of the secondary flows. The approximation, with respect to the curvature ratio, of the full governing systems by some Dean-like equation is studied.

Original language	English
Pages (from-to)	1210-1249
Number of pages	40
Journal	SIAM Journal on Mathematical Analysis
Volume	48
Issue number	2
DOIs	https://doi.org/10.1137/140964709
Publication status	Published - 1 Jan 2016

Keywords

Curved pipes
Navier-Stokes uids
Shear-dependent viscosity
Shear-thickening flows
Shear-thinning flows

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10.1137/140964709Licence: CC BY-NC

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KW - Shear-thinning flows

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On generalized Newtonian fluids in curved pipes

Abstract

Keywords

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