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Sedimenting elastic filaments in turbulent flows

Rahul K. Singh1,2,*, Jason R. Picardo3,†, and Samriddhi Sankar Ray2,‡

  • 1Complex Fluids and Flows Unit, Okinawa Institute of Science and Technology Graduate University, Okinawa 904-0495, Japan
  • 2International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore 560089, India
  • 3Department of Chemical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India

  • *rksphys@gmail.com
  • †Associate at the International Centre for Theoretical Sciences, TIFR, India; jrpicardo@che.iitb.ac.in
  • ‡samriddhisankarray@gmail.com
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Phys. Rev. Fluids 7, 084502 – Published 23 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.084502

Abstract

We investigate the gravitational settling of a long, model elastic filament in homogeneous isotropic turbulence. We show that the flow produces a strongly fluctuating settling velocity whose mean is moderately enhanced over the still-fluid terminal velocity and whose variance has a power-law dependence on the filament's weight but is surprisingly unaffected by its elasticity. In contrast, the tumbling of the filament is shown to be closely coupled to its stretching and manifests as a Poisson process with a tumbling time that increases as a power law with the elastic relaxation time of the filament. Apart from elasticity, inertia, and gravitational acceleration, we have also considered the effect of bending stiffness and found that stiff filaments settle slower but tumble faster than fully flexible filaments.

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Phys. Rev. Fluids 7, 084502– Published 23 August, 2022
  • Received 3 January 2021
  • Accepted 8 August 2022
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