English

Complexity of viscous dissipation in turbulent thermal convection

Fluid Dynamics 2018-04-09 v2

Abstract

Using direct numerical simulations of turbulent thermal convection for Rayleigh number (Ra\mathrm{Ra}) between 10610^6 and 10810^8 and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log-normal distribution, but it differs from (U3/d)(U^3/d) by a factor of Ra0.18\mathrm{Ra}^{-0.18}. Viscous dissipation in the boundary layers are rarer but more intense with a stretched-exponential distribution.

Keywords

Cite

@article{arxiv.1801.01701,
  title  = {Complexity of viscous dissipation in turbulent thermal convection},
  author = {Shashwat Bhattacharya and Ambrish Pandey and Abhishek Kumar and Mahendra K. Verma},
  journal= {arXiv preprint arXiv:1801.01701},
  year   = {2018}
}

Comments

5 pages, 4 figures, 1 supplemental material