Scale-dependent anisotropy, energy transfer and intermittency in bubble-laden turbulent flows

TL;DR

This study uses DNS data and a novel barycentric map method to analyze how bubbles influence anisotropy, energy transfer, and intermittency in turbulent flows, revealing significant modifications across scales.

Contribution

A new barycentric map approach is developed to quantify flow anisotropy and componentiality at any scale in bubble-laden turbulence.

Findings

Bubbles significantly increase flow anisotropy at all scales.

Energy transfer remains from large to small scales, with evidence of upscale transfer in certain components.

Bubbles enhance intermittency at small scales and suppress it at larger scales.

Abstract

Data from Direct Numerical Simulations of disperse bubbly flows in a vertical channel are used to study the effect of the bubbles on the carrier-phase turbulence. A new method is developed, based on the barycentric map approach, that allows to quantify the anisotropy and componentiality of the flow at any scale. Using this the bubbles are found to significantly enhance flow anisotropy at all scales compared with the unladen case, and for some bubble cases, very strong anisotropy persists down to the smallest flow scales. The strongest anisotropy observed was for the cases involving small bubbles. Concerning the inter-scale energy transfer, our results indicate that for the bubble-laden cases, the energy transfer is from large to small scales, just as for the unladen case. However, there is evidence of an upscale transfer when considering the transfer of energy associated with particular components of the velocity field. Although the direction of the energy transfer is the same with and without the bubbles, the transfer is much stronger for the bubble-laden cases, suggesting that the bubbles play a strong role in enhancing the activity of the nonlinear term in the flow. The normalized forms of the fourth and sixth-order structure functions are also considered, and reveal that the introduction of bubbles into the flow strongly enhances intermittency in the dissipation range, but suppresses it at larger scales. This strong enhancement of the dissipation scale intermittency has significant implications for understanding how the bubbles might modify the mixing properties of turbulent flows.