Interscale energy transfer of liquid velocity fluctuations in a particle-laden plume.

We present an analysis of the interscale energy transfer inside a particle-laden plume. The experimental dataset analyzed was recently published (Bordoloi et al. 2020, J. Fluid Mech., 896:A19) in which stereoscopic particle image velocity (SPIV) was used to measure the interstitial fluid velocity fields at a plume centerplane. The single-phase Karman-Howarth-Monin (KHM) equation is adapted to multiphase turbulent flows by including the phase-indicator function. Implications of our analysis on turbulence modeling are discussed.