Complexity of viscous dissipation in turbulent thermal convection

Shashwat Bhattacharya, Ambrish Pandey, Abhishek Kumar, Mahendra K Verma

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    Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 106 and 108 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) by a factor of Ratextminus0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution.
    Original languageEnglish
    Article number031702
    Number of pages6
    JournalPhysics of Fluids
    Issue number3
    Publication statusPublished - 29 Mar 2018

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