Available potential energy in Rayleigh-Benard convection
Graham O Hughes, Bishakhdatta Gayen, Ross W Griffiths
JOURNAL OF FLUID MECHANICS | CAMBRIDGE UNIV PRESS | Published : 2013
The mechanical energy budget for thermally equilibrated Rayleigh-Bénard convection is developed theoretically, with explicit consideration of the role of available potential energy, this being the form in which all the mechanical energy for the flow is supplied. The analysis allows derivation for the first time of a closed analytical expression relating the rate of mixing in symmetric fully developed convection to the rate at which available potential energy is supplied by the thermal forcing. Only about half this supplied energy is dissipated viscously. The remainder is consumed by mixing acting to homogenize the density field. This finding is expected to apply over a wide range of Rayleigh..View full abstract
Awarded by Australian Research Council
Awarded by ARC Future Fellowship
We are grateful to three anonymous referees for their helpful comments. This work was supported by Australian Research Council grant DP120102744. G.O.H. was supported by ARC Future Fellowship FT100100869.