Shear-induced chaos in nonlinear Maxwell-model fluids
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Goddard, C, Hess, O, Balanov, AG and Hess, S (2008) Shear-induced chaos in nonlinear Maxwell-model fluids PHYSICAL REVIEW E, 77 (2). ? - ?. ISSN 1539-3755
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Abstract
A generalized model for the behavior of the stress tensor in non-Newtonian fluids is investigated for spatially homogeneous plane Couette flow, showing a variety of nonlinear responses and deterministic chaos. Mapping of chaotic solutions is achieved through the largest Lyapunov exponent for the two main parameters: The shear rate and the temperature and/or density. Bifurcation diagrams and stability analysis are used to reveal some of the rich dynamics that can be found. Suggested mechanisms for stability loss in these complex fluids include Hopf, saddle-node, and period-doubling bifurcations
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Science & Technology, Physical Sciences, Physics, Fluids & Plasmas, Physics, Mathematical, Physics, NONEQUILIBRIUM ALIGNMENT PHENOMENA, NEMATIC LIQUID-CRYSTALS, FLOW-ALIGNMENT, IRREVERSIBLE THERMODYNAMICS, ORIENTATIONAL DYNAMICS, MOLECULAR LIQUIDS, MICELLAR-SOLUTION, PHASE-TRANSITION, COUETTE-FLOW, BEHAVIOR |
| Divisions: | Faculty of Engineering and Physical Sciences > Physics |
| ID Code: | 337 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:08 |
| Last Modified: | 08 Jun 2013 15:56 |
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