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Related Experiment Videos

Response maxima in modulated turbulence.

Anna von der Heydt1, Siegfried Grossmann, Detlef Lohse

  • 1Fachbereich Physik, Philipps-Universität Marburg, Renthof 6, 35032 Marburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
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This study investigates temporal energy input in turbulent systems. The system

Area of Science:

  • Fluid dynamics
  • Statistical mechanics

Background:

  • Turbulence is a complex phenomenon characterized by chaotic fluid motion.
  • Understanding turbulence dynamics is crucial in various scientific and engineering fields.
  • Characterizing the response of turbulent systems to time-varying energy inputs remains a challenge.

Purpose of the Study:

  • To investigate the temporal dynamics of isotropic and homogeneous turbulence.
  • To analyze the system's response to modulated energy input using variable range mean-field theory.
  • To determine how modulation frequency affects the turbulence response.

Main Methods:

  • Utilized variable range mean-field theory.
  • Studied isotropic and homogeneous turbulence driven by time-modulated energy input.

Related Experiment Videos

  • Calculated the second-order moment of large-scale velocity difference, D(L,t).

    • Main Results:

    • At low modulation frequencies, the system closely follows the driving modulation.
    • At higher frequencies, the response amplitude decreases proportionally to 1/omega.
    • Specific frequencies lead to vanishing or strongly enhanced response amplitudes, linked to energy cascade scales.

    Conclusions:

    • The response of turbulent systems to modulated energy input is frequency-dependent.
    • Mean-field theory provides insights into turbulence dynamics under time-varying conditions.
    • Identified characteristic frequencies governing turbulence response, related to energy cascade processes.