On Generalized Newtonian Fluids in Curved Pipes
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- 1 January 2016
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 48 (2) , 1210-1249
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.Keywords
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