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Periodically Modulated Thermal Convection.

Rui Yang1,2, Kai Leong Chong1, Qi Wang1,3

  • 1Physics of Fluids Group, Max Planck Center for Complex Fluid Dynamics, MESA+ Institute and J.M.Burgers Center for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands.

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Time-periodic modulation of boundary conditions significantly enhances heat transport in turbulent flows. This study explains optimal modulation frequencies for heat flux enhancement in Rayleigh-Bénard convection.

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Area of Science:

  • Fluid Dynamics
  • Heat Transfer
  • Turbulence

Background:

  • Turbulent flows often experience time-dependent boundary conditions, impacting transport properties.
  • The effect of temporal modulations on global transport in such flows remains understudied.

Purpose of the Study:

  • To investigate the influence of time-periodic boundary condition modulation on heat transport in turbulent Rayleigh-Bénard convection.
  • To identify regimes of modulation frequency and their impact on heat flux enhancement.

Main Methods:

  • Numerical simulations of Rayleigh-Bénard convection with modulated temperature boundary conditions.
  • Analysis using the Stokes thermal boundary layer concept to determine frequency dependencies.
  • Construction of a phase diagram in the (f, Ra, Pr) parameter space.

Main Results:

  • Temporal modulation of boundary conditions leads to significant heat flux (Nusselt number, Nu) enhancement.
  • Onset and optimal frequencies for Nu enhancement are explained by the Stokes thermal boundary layer, dependent on Rayleigh (Ra) and Prandtl (Pr) numbers.
  • Three distinct modulation regimes identified: too fast, moderate (Nu increases with decreasing f), and slow (Nu decreases with further decreasing f).

Conclusions:

  • Time-periodic boundary modulations offer a mechanism for enhancing heat transport in turbulent convection.
  • A comprehensive phase diagram is established, detailing the effects of modulation frequency, Ra, and Pr.
  • The findings provide a foundational framework for analyzing time-dependent forcing in various turbulent flow systems.