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Clustering and energy spectra in two-dimensional dusty gas turbulence

Vikash Pandey, Prasad Perlekar, and Dhrubaditya Mitra
Phys. Rev. E 100, 013114 – Published 26 July 2019

Abstract

We present direct numerical simulation of heavy inertial particles (dust) immersed in two-dimensional turbulent flow (gas). The dust particles are modeled as monodispersed heavy particles capable of modifying the flow through two-way coupling. By varying the Stokes number (St) and the mass-loading parameter (ϕm), we study the clustering phenomenon and the gas phase kinetic energy spectra. We find that the dust-dust correlation dimension (d2) also depends on ϕm. In particular, clustering decreases as mass loading (ϕm) is increased. In the kinetic energy spectra of gas we show (i) the emergence of a different scaling regime and that (ii) the scaling exponent in this regime is not universal but a function of both St and ϕm. Using a scale-by-scale enstrophy budget analysis we show that in this emerged scaling regime, which we call the dust-dissipative range, viscous dissipation due to the gas balances the back-reaction from the dust.

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  • Received 18 February 2019

DOI:https://doi.org/10.1103/PhysRevE.100.013114

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Vikash Pandey* and Prasad Perlekar

  • TIFR Centre for Interdisciplinary Sciences, Hyderabad 500107, India

Dhrubaditya Mitra

  • NORDITA, Royal Institute of Technology and Stockholm University, SE-10691 Stockholm, Sweden

  • *vikashpandey.phy@gmail.com
  • perlekar@tifrh.res.in
  • dhruba.mitra@gmail.com

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Issue

Vol. 100, Iss. 1 — July 2019

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