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Time-modulated convection with zero mean temperature gradient.

A C Or1, R E Kelly

  • 1Department of Mechanical and Aerospace Engineering, University of California at Los Angeles, Los Angeles, California 90095-1597, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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This study numerically investigates temporally modulated Rayleigh-Bénard convection. Results show frequency-dependent synchronous and subharmonic responses, with critical parameters scaling with frequency at high values.

Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Heat Transfer

Background:

  • Rayleigh-Bénard convection is a fundamental model for heat transport.
  • Temporal modulation introduces complex dynamics not present in steady-state convection.
  • Understanding the onset of convection under time-varying conditions is crucial for various applications.

Purpose of the Study:

  • To numerically investigate the onset of temporally modulated Rayleigh-Bénard convection.
  • To analyze the effects of antisymmetric and asymmetric boundary temperature conditions.
  • To explore the behavior across a wide range of non-dimensional frequencies (omega).

Main Methods:

  • Numerical simulations were employed to study the system.
  • The study covered a continuous range of non-dimensional frequencies.

Related Experiment Videos

  • Analysis focused on neutral curves, critical wave number (k(c)), and critical Rayleigh number (R(c)).
  • Main Results:

    • For frequencies below 1, responses alternate between synchronous and subharmonic.
    • At high frequencies, critical wave number scales as omega(1/2) and critical Rayleigh number as omega(3/2).
    • Subharmonic responses dominate at high frequencies for both boundary conditions.

    Conclusions:

    • The study reveals complex frequency-dependent dynamics in modulated convection.
    • Asymptotic behaviors at high frequencies are identified and characterized.
    • Numerical findings show reasonable agreement with existing experimental data.