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Shear-induced chaos in nonlinear Maxwell-model fluids

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
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Divisions: Faculty of Engineering and Physical Sciences > Physics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:08
Last Modified: 23 Sep 2013 18:27
URI: http://epubs.surrey.ac.uk/id/eprint/337

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