Reactive rimming flow of non-Newtonian fluids

Sergei Fomin, Anton Mazurenko, Ravi Shankar, Vladimir Chugunov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The steady and non-steady flows of a liquid polymer treated as a non-Newtonian fluid on the inner surface of a horizontal rotating cylinder are investigated. Since the Reynolds number is small and the liquid film is thin, a simple lubrication approximation is applied. Governing equations for non-steady Power-Law and Ellis fluids are solved numerically and the time of transition from non-steady to steady-state mode for various model parameters and flow conditions are defined. The stabilization effect of a chemical reaction within the polymeric fluid (reactive flow) is examined.

Original languageEnglish (US)
Pages (from-to)7671-7684
Number of pages14
JournalApplied Mathematics and Computation
Volume219
Issue number14
DOIs
StatePublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Ellis model
  • Non-Newtonian
  • Numerical analysis
  • Power-law
  • Rimming flow

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