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Stochastic model for the residence time of solid particles in turbulent Rayleigh-Bénard flow

Colin J. Denzel

Andrew D. Bragg

David H. Richter

  • Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA

  • Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708, USA

  • Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, Indiana 46556, USA

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Phys. Rev. Fluids 8, 024307 – Published 27 February, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.024307

Abstract

The Pi Chamber generates moist turbulent Rayleigh-Bénard flow in order to replicate steady-state cloud conditions. We take inspiration from this setup and consider a particle-laden, convectively driven turbulent flow using direct numerical simulation. The aim of our paper is to develop a simple stochastic model that can accurately describe the residence times of the particles in the flow, this time being determined by the complex competition between the gravitational settling of the particles, and the interaction of the particles with the turbulent structures in the flow. A simple conceptual picture underlies the stochastic model, namely that the particles take repeated trips between the top and bottom boundaries, driven by the convective cells that occur in Rayleigh-Bénard turbulence, and that their residence times are determined by the time it takes to complete one of these trips, which varies from one trip to another, and the probability of falling out to the bottom boundary after each trip. Despite the simplicity of the model, it yields quantitatively accurate predictions of the distribution of the particle residence times in the flow. We independently vary the Stokes numbers and settling velocities in order to shed light on the independent roles that gravity and inertia play in governing these residence times.

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Outline

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Phys. Rev. Fluids 8, 024307– Published 27 February, 2023
  • Received 26 August 2022
  • Accepted 2 February 2023
Article part of CHORUS
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