Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 241-253
Finite-Dimensional Description of
Non-Newtonian Vortex Flows
Roger E. Khayat
National Research Council of Canada
Industrial Materials Institute
75, de Mortagne Blvd.
Boucherville (Qc) J4B 6YA, Canada
Abstract
The application of finite-dimensional dynamical systems
theory to non-Newtonian vortex flow indicates the presence of complex
temporal dynamics that is attributed to shear thinning and normal
stress (giving rise to the so-called Weissenberg rod climbing phenomenon).
These aspects are examined for Rayleigh-Benard thermal convection and
Taylor-Couette rotational flow, in an attempt to elucidate on the
mechanisms behind the onset and destabilization of secondary vortex
flow common to these and possibly other non-Newtonian flows in the
transition regime. Three transition scenarios are particularly explored,
namely, the transition to chaos via intermittency, quasiperiodicity
and period doubling.
Vortex Flows and Related
Numerical Methods II
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