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Influence of higher-order modes on ferroconvection
C Kanchana1, J A Vélez2, L M Pérez3
1Instituto de Alta Investigación, Sede Esmeralda, Universidad de Tarapacá, Av. Luis Emilio Recabarren 2477, Iquique, Chile.
Chaos (Woodbury, N.Y.)
|September 1, 2022
Summary
This study explores ferrofluid dynamics, revealing that increasing modes in simulations advances regular convection and delays chaos. Findings show enhanced modes can lead to hyper-chaotic states in ferroconvection.
Area of Science:
- Fluid Dynamics
- Nonlinear Dynamics
- Magnetohydrodynamics
Background:
- Ferrofluids exhibit complex behaviors under magnetic fields.
- Understanding the transition from regular to chaotic motion is crucial.
- Minimal mode analysis may not fully capture complex dynamics.
Purpose of the Study:
- Investigate cellular-convective and chaotic motions in ferrofluids.
- Analyze the impact of higher-order modes on system dynamics.
- Examine the transition to chaos and potential hyper-chaotic states.
Main Methods:
- Fourier representations for analyzing fluid motion.
- Extended ferromagnetic-Lorenz models.
- Analysis using largest Lyapunov exponent (LE), bifurcation diagrams, and phase-space plots.
Main Results:
- Increased vertical and horizontal modes advance regular convection onset and delay chaos.
- Vertical modes enhance chaotic motion; horizontal modes induce intense chaos.
- System transition to chaos is significantly modified, leading to hyper-chaotic states.
Conclusions:
- Higher-order modes are essential for a comprehensive understanding of ferrofluid dynamics.
- Ferroconvection can exhibit advanced regular motion and delayed chaos with increased modes.
- Hyper-chaotic states can be sustained by adjusting Prandtl number or ferromagnetic effects.
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