Abstract

We investigate the turbulence statistics in a {multiphase plume made of heavy particles (particle Reynolds number at terminal velocity is 450)}. Using refractive-index-matched stereoscopic particle image velocimetry, we measure the locations of particles {whose buoyancy drives the formation of a multiphase plume,} {together with the local velocity of the induced flow in the ambient salt-water}. {Measurements in the plume centerplane exhibit self-similarity in mean flow characteristics consistent with classic integral plume theories.} The turbulence characteristics resemble those measured in a bubble plume, {including strong anisotropy in the normal Reynolds stresses. However, we observe structural differences between the two multiphase plumes. First, the skewness of the probability density function (PDF) of the axial velocity fluctuations is not that which would be predicted by simply reversing the direction of a bubble plume. Second, in contrast to a bubble plume, the particle plume has a non-negligible fluid-shear production term in the turbulent kinetic energy (TKE) budget. Third, the radial decay of all measured terms in the TKE budget is slower than those in a bubble plume.} Despite these dissimilarities, a bigger picture emerges that applies to both flows. The TKE production by particles (or bubbles) roughly balances the viscous dissipation, except near the plume centerline. The one-dimensional power-spectra of the velocity fluctuations show a -3 power-law that puts both the particle and bubble plume in a category different from single-phase shear-flow turbulence.

Highlights

  • Plumes containing bubbles, particles and droplets are present in both environmental and industrial applications

  • We offer a dataset of a heterogeneous particle plume with statistics of the turbulent velocity fluctuations up to the third order

  • The distribution of the axial velocity fluctuations is negatively skewed for a particle plume, such that axial fluctuations opposite to the direction of particle motion are more common than those along the direction of particle motion. This behaviour is strikingly opposite to what is seen in bubble plumes and homogeneous bubble swarms (Riboux, Risso & Legendre 2010; Prakash et al 2016; Lai & Socolofsky 2019), for which the axial velocity fluctuations moving in the direction of bubble motion are more common than those moving in the opposite direction

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Summary

Introduction

Particles and droplets are present in both environmental and industrial applications. Recent progress in suspension flows (especially turbulent flows) offers the hope that predictive techniques will eventually describe overall plume behaviour from a direct description of the internal dynamics of particle–fluid coupling. There are many studies of turbulence in bubble plumes with notable contributions coming from Soga & Rehmann (2004), Wain & Rehmann (2005), García & García (2006), Seol, Duncan & Socolofsky (2009), Simiano et al (2009) and Lai & Socolofsky (2019) These investigations reveal different velocity characteristics at a different axial distance (x1) from the origin. This need is especially relevant for multiphase flows in which a physics-based coupling model between the carrier and dispersed phase is critical to successful predictions To this end, we offer a dataset of a heterogeneous particle plume with statistics of the turbulent velocity fluctuations up to the third order.

Plume facility
Refractive index matching
Multiphase velocimetry
Coordinate transformation
Mean flow characteristics
Fluctuating flow characteristics
Reynolds stresses
Conservation of kinematic momentum flux of the plume
Velocity triple correlation and turbulent transport
Mean square gradients of velocity fluctuations
Turbulent kinetic energy budget
Two-point correlation and energy spectra
Conclusions
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