| Autor: |
Medillo Plan, Emmanuel Lance Christopher VI, Gupta, Anupam, Vincenzi, Dario, Gibbon, John D. |
| Předmět: |
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| Zdroj: |
Journal of Fluid Mechanics; 7/10/2017, Vol. 822, p1-12, 12p |
| Abstrakt: |
Low-Reynolds-number polymer solutions exhibit a chaotic behaviour known as 'elastic turbulence' when the Weissenberg number exceeds a critical value. The two-dimensional Oldroyd-B model is the simplest constitutive model that reproduces this phenomenon. To make a practical estimate of the resolution scale of the dynamics, one requires the assumption that an attractor of the Oldroyd-B model exists; numerical simulations show that the quantities on which this assumption is based are bounded. We estimate the Lyapunov dimension of this assumed attractor as a function of the Weissenberg number by combining a mathematical analysis of the model with direct numerical simulations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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