Rayleigh-Benard turbulence modified by two-way coupled particles

Direct numerical simulation (DNS) with Lagrangian point particles is used to study Rayleigh-Bénard convection to understand modifications due to the interaction of inertial particle, gauged by the turbulent kinetic energy (TKE) and Nusselt number (Nu). The initially dispersed particles experience gravitational settling, and become introduced at the lower wall such that turbulence must overcome the settling velocity for the particles to vertically distribute throughout the domain. The particle properties of interest are inertia, as characterized by the Stokes number, and settling velocity. Furthermore, individual contributions by the momentum-coupling and thermal-coupling are studied to see which most significantly changes Nu and TKE. Our results show that particles with Stokes number of order unity maximize Nu, corresponding to a peak of clustering and attenuation of TKE. It is also shown that particles two-way coupled only through momentum attenuate Nu and weaken TKE, while thermal-only coupling also weakens TKE but enhances Nu. When both couplings are present, however, thermal coupling overwhelms the attenuation caused by momentum coupling and the net result is an enhancement of Nu.