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- Title
Nonlinear Dynamics of Convection Patterns in a Binary Mixture Subjected to Finite-Frequency Vibration.
- Authors
Myznikova, B. I.; Smorodin, B. L.
- Abstract
Nonlinear evolution of two-dimensional convection patterns is considered for an incompressible binary mixture with negative Soret coupling in a horizontal layer subjected to finite-frequency vertical vibration of arbitrary amplitude. A numerical analysis is performed under impermeability conditions on rigid boundaries, which can be implemented in a laboratory experiment. The dependence of flow intensity on vibration amplitude is examined for the first and second resonance regions in the parameter space of thermal vibrational convection. The numerical results agree with the stability boundaries of equilibrium states predicted by linear theory. A qualitative difference in the dynamics of nonlinear oscillation is exposed between the regions corresponding to critical perturbations at the subharmonic and fundamental frequencies. Regular and chaotic dynamics, as well as hysteretic transitions between the fundamental and subharmonic modes, are revealed. © 2005 Pleiades Publishing, Inc.
- Subjects
LINEAR statistical models; NONLINEAR statistical models; NUMERICAL analysis; SPECTRUM analysis; COHERENCE (Physics); OSCILLATIONS; FLUCTUATIONS (Physics); QUANTUM theory
- Publication
Journal of Experimental & Theoretical Physics, 2005, Vol 101, Issue 6, p1140
- ISSN
1063-7761
- Publication type
Article
- DOI
10.1134/1.2163929