Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders

Alexander Blokhin, Ekaterina Kruglova, Boris Semisalov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Numerical simulation of the non-isothermal flow of viscoelastic polymeric liquid between two coaxial cylinders has been done on the basis of the rheological mesoscopic Pokrovskii-Vinogradov model. Boundary value problem for the nonlinear equation determining the velocity profile is posed. For solving it a pseudospectral numerical algorithm of increased accuracy based on Chebyshev approximations has been designed. The stationary numerical solutions of the posed problem are obtained for wide range of values of physical parameters and for record-low values of the radius r0 of inner cylinder. A posteriori estimates of the truncation and round-off errors of the algorithm has been derived. Numerical analysis of these errors depending on the number of grid nodes and on the values of radius r0 is also performed.

Original languageEnglish
Article number#4
Pages (from-to)26-36
Number of pages11
JournalWSEAS Transactions on Fluid Mechanics
Volume13
Publication statusPublished - 1 Jan 2018

Keywords

  • Algorithm without saturation
  • Chebyshev approximation
  • Pokrovskii-Vinorgadov model
  • Polymeric liquid
  • Pseudospectral method
  • Round-off error
  • Stabilization method
  • Truncation error

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