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 language | English (US) |
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Pages (from-to) | 7671-7684 |
Number of pages | 14 |
Journal | Applied Mathematics and Computation |
Volume | 219 |
Issue number | 14 |
DOIs | |
State | Published - 2013 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
Keywords
- Ellis model
- Non-Newtonian
- Numerical analysis
- Power-law
- Rimming flow