Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders

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5 Citations (Scopus)

Abstract

A boundary value problem for a quasi-linear equation determining the velocity profile of a flow of a polymer fluid in a pipe formed by two coaxial cylinders is considered. On the basis of methods of approximation without saturation, a computational algorithm of increased accuracy is developed, making it possible to solve the problem in a wide range of parameters, including record-low values of r0, the radius of the inner cylinder.

Original languageEnglish
Pages (from-to)1181-1193
Number of pages13
JournalComputational Mathematics and Mathematical Physics
Volume57
Issue number7
DOIs
Publication statusPublished - 1 Jul 2017

Keywords

  • boundary value problem
  • nonlocal algorithm without saturation
  • problem of steady-state flows of an incompressible fluid
  • quasi-linear equation

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