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Heavy Particle Clustering in Inertial Subrange of High-Reynolds Number Turbulence.

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High Reynolds number turbulence causes inertial particle clustering in both inertial and dissipation ranges. This phenomenon, observed via direct numerical simulation, is linked to preferential concentration modulation.

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Area of Science:

  • Fluid dynamics
  • Turbulence research
  • Particle transport

Background:

  • Homogeneous isotropic turbulence is a fundamental concept in fluid dynamics.
  • Inertial particles in turbulent flows exhibit complex behaviors, including clustering.
  • Previous studies primarily focused on particle clustering in the dissipation range.

Purpose of the Study:

  • To investigate inertial particle clustering in the inertial subrange of high Reynolds number turbulence.
  • To characterize the spectral signature of clustering in the inertial subrange.
  • To develop a model for the particle number density spectrum.

Main Methods:

  • Direct numerical simulation (DNS) of homogeneous isotropic turbulence.
  • Analysis of particle clustering using spectral methods.
  • Development of a mathematical model for the particle number density spectrum.

Main Results:

  • Pronounced clustering of inertial particles was observed in the inertial subrange, alongside near-dissipation range clustering.
  • A distinct bump in the particle number density spectra characterizes inertial subrange clustering.
  • The observed clustering is attributed to the modulation of preferential concentration.
  • The particle number density spectrum was successfully modeled by a rational function of the scale-dependent Stokes number.

Conclusions:

  • Inertial particle clustering in homogeneous isotropic turbulence is a significant phenomenon occurring across multiple subranges.
  • Preferential concentration modulation plays a key role in driving inertial subrange clustering.
  • The scale-dependent Stokes number provides a robust parameter for modeling particle number density spectra in turbulent flows.