Disentangle plume-induced anisotropy in the velocity field in buoyancy-driven turbulence

TL;DR

This paper introduces a method to separate anisotropic effects caused by thermal plumes in turbulent Rayleigh-Bénard convection, revealing how cliff structures influence velocity field asymmetries and scaling behaviors.

Contribution

The study develops a novel approach using plus and minus velocity structure functions to quantitatively disentangle plume-induced anisotropy in turbulent velocity fields.

Findings

Plus VSFs match isotropic turbulence predictions.

Minus VSFs show deviations where plumes are prevalent.

Cliff structures significantly affect velocity field asymmetry.

Abstract

We present a method of disentangling the anisotropies produced by the cliff structures in turbulent velocity field and test it in the system of turbulent Rayleigh-B\'{e}nard (RB) convection. It is found that in the RB system the cliff structures in the velocity field are generated by thermal plumes. These cliff structures induce asymmetry in the velocity increments, which leads us to consider the plus and minus velocity structure functions (VSF). The plus velocity increments exclude cliff structures, while the minus ones include them. Our results show that the scaling exponents of the plus VSFs are in excellent agreement with those predicted for homogeneous and isotropic turbulence (HIT), whereas those of the minus VSFs exhibit significant deviations from HIT expectations in places where thermal plumes abound. These results demonstrate that plus and minus VSFs can be used to quantitatively study the effect of cliff structures in the velocity field and to effectively disentangle the associated anisotropies caused by these structures.