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A new time scale for turbulence modulation by particles

Published online by Cambridge University Press:  09 October 2019

Izumi Saito Open the ORCID record for Izumi Saito [Opens in a new window] ,
Takeshi Watanabe  and
Toshiyuki Gotoh
Izumi Saito*
Affiliation:
Department of Physical Science and Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
Takeshi Watanabe
Affiliation:
Department of Physical Science and Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
Toshiyuki Gotoh
Affiliation:
Department of Physical Science and Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
*
†Email address for correspondence: izumi@gfd-dennou.org
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Abstract

A new time scale for turbulence modulation by particles is introduced. This time scale is inversely proportional to the number density and the radius of particles, and can be regarded as a counterpart of the phase relaxation time, an important time scale in cloud physics, which characterizes the interaction between turbulence and cloud droplets by condensation–evaporation. Scaling analysis and direct numerical simulations of dilute inertial particles in homogeneous isotropic turbulence suggest that turbulence modulation by particles with a fixed mass-loading parameter can be expressed as a function of the Damköhler number, which is defined as the ratio of the turbulence large-eddy turnover time to the new time scale.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 880 , 10 December 2019 , R6
Copyright
© 2019 Cambridge University Press 

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