European Turbulence Conference 2015

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15:00
15 mins

Thermal boundary layer equation for turbulent Rayleigh-Benard convection
Olga Shishkina, Susanne Horn, Sebastian Wagner, Emily S. C. Ching

Session: Thermally driven turbulence 2
Session starts: Thursday 27 August, 15:00
Presentation starts: 15:00
Room: Room H

Olga Shishkina ()
Susanne Horn ()
Sebastian Wagner ()
Emily S. C. Ching ()

Abstract:
We report a new thermal boundary layer equation for turbulent Rayleigh-Benard convection for Prandtl number P>1that takes into account the effect of turbulent fluctuations. These fluctuations are neglected in existing equations, which are based on steady-state and laminar assumptions. Using this new equation, we derive analytically the mean temperature profiles in two limits: Pr~1 and Pr>>1. These two theoretical predictions are in excellent agreement with the results of our direct numerical simulations for Pr=4.38 and Pr=2547.9, respectively.