# Velocity and spatial distribution of inertial particles in a turbulent channel flow

## TL;DR

This study experimentally investigates how inertial particles distribute and move in turbulent channel flow, revealing clustering, preferential alignment, and velocity behaviors dependent on particle concentration and Stokes number.

## Contribution

It provides detailed experimental data on inertial particle dynamics in turbulent flow, highlighting the effects of particle concentration and inertia on distribution and velocity statistics.

## Key findings

- Particles form elongated clusters aligned with the flow
- Near-wall streaks are associated with particle arrangements
- Particle velocity fluctuations increase with concentration and inertia

## Abstract

We present experimental observations of the velocity and spatial distribution of inertial particles dispersed in the turbulent downward flow through a vertical channel at $Re_{\tau} = 235$ and $335$. The working fluid is air laden with size-selected glass micro-spheres, with Stokes numbers $St = O(10)$ and $O(100)$ based on the Kolmogorov and viscous time scales, respectively. Cases at solid volume fractions ${\phi}_v = 3{\times}10^{-6}$ and $5{\times}10^{-5}$ are considered. In the more dilute regime, the particle concentration profile shows near-wall and centerline maxima compatible with a turbophoretic drift down the gradient of turbulence intensity; the particles travel at similar speed as the unladen flow except in the near-wall region; and their velocity fluctuations generally follow the unladen flow level over the channel core, exceeding it in the near-wall region. The denser regime presents substantial differences in all measured statistics: the near-wall concentration peak is much more pronounced, while the centerline maximum is absent; the mean particle velocity decreases over the logarithmic and buffer layers; and particle velocity fluctuations and deposition velocities are enhanced. Analysis of the spatial distributions of particle positions and velocities reveals dense, elongated clusters forming in the core, which tend to be preferentially aligned with the streamwise direction, and travel faster than the less concentrated particles. In the near-wall region, the particles arrange in highly elongated streaks associated to negative streamwise velocity fluctuations, several channel heights in length and spaced by $O(100)$ wall units, supporting the view that these are coupled to fluid low-speed streaks typical of wall turbulence. The particle velocity fields contain a significant component of random uncorrelated motion, more prominent for higher St and in the near-wall region.