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Rayleigh-Bénard magnetoconvection with temperature modulation.

Suparna Hazra1, Krishna Kumar1, Saheli Mitra2

  • 1Department of Physics, Indian Institute of Technology Kharagpur, Kharagpur 721302, West Bengal, India.

Proceedings. Mathematical, Physical, and Engineering Sciences
|November 23, 2020
PubMed
Summary

This study analyzes modulated magnetoconvection using Floquet analysis. Temperature modulation affects the onset of oscillatory magnetoconvection, influencing critical Rayleigh numbers and flow behavior.

Keywords:
Rayleigh–Bénard magnetoconvectionbi-critical pointsparametric wavestemperature modulation

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Area of Science:

  • Fluid dynamics
  • Magnetohydrodynamics
  • Nonlinear dynamics

Background:

  • Rayleigh-Bénard convection is a fundamental model for heat transport in fluids.
  • Magnetoconvection introduces magnetic field effects, altering stability and flow patterns.
  • External modulation, like temperature variations, can significantly influence convective instabilities.

Purpose of the Study:

  • To investigate the effects of sinusoidal temperature modulation on magnetoconvection in Rayleigh-Bénard geometry.
  • To analyze the onset and behavior of oscillatory magnetoconvection under modulated conditions using Floquet analysis.
  • To determine how modulation frequency and amplitude influence critical parameters like the Rayleigh number.

Main Methods:

  • Floquet analysis was employed to study the system's stability under time-periodic forcing.
  • The study focused on the transition from a quiescent state to oscillatory magnetoconvection.
  • Numerical investigations explored the influence of modulation parameters (frequency, amplitude) and fluid properties (Chandrasekhar number, Prandtl number).

Main Results:

  • Oscillatory magnetoconvection begins above a critical Rayleigh number (Rao), exhibiting subharmonic or harmonic oscillations.
  • The critical Rayleigh number (Rao) shows non-monotonic dependence on modulation frequency (ω) and can either delay or advance convection onset.
  • A new type of bicritical point and a merged instability zone were observed for higher Chandrasekhar numbers (Q).

Conclusions:

  • Temperature modulation introduces complex dynamics to magnetoconvection, altering critical thresholds and oscillation modes.
  • The system's behavior is sensitive to modulation frequency and amplitude, offering control over convection onset.
  • New instabilities and bicritical phenomena emerge under modulated magnetoconvection, expanding the understanding of nonlinear fluid dynamics.