Scaling and spatial intermittency of thermal dissipation in turbulent convection
Fluid Dynamics
2019-11-15 v3
Abstract
We derive scaling relations for the thermal dissipation rate in the bulk and in the boundary layers for moderate and large Prandtl number (Pr) convection. Using direct numerical simulations of Rayleigh-B\'{e}nard convection, we show that the thermal dissipation in the bulk is suppressed compared to passive scalar dissipation. The suppression is stronger for large Pr. We further show that the dissipation in the boundary layers dominates that in the bulk for both moderate and large Pr. The probability distribution functions of thermal dissipation rate, both in the bulk and in the boundary layers, are stretched exponential, similar to passive scalar dissipation.
Keywords
Cite
@article{arxiv.1904.03457,
title = {Scaling and spatial intermittency of thermal dissipation in turbulent convection},
author = {Shashwat Bhattacharya and Ravi Samtaney and Mahendra K. Verma},
journal= {arXiv preprint arXiv:1904.03457},
year = {2019}
}
Comments
13 pages, 6 figures