On generalized Newtonian fluids in curved pipes

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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 languageEnglish
Pages (from-to)1210-1249
Number of pages40
JournalSIAM Journal on Mathematical Analysis
Issue number2
Publication statusPublished - 1 Jan 2016


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


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