Exact steady single-mode solutions in rapidly rotating convection attain diffusivity-free ultimate scalings for heat transport and flow speed at suitable wavenumbers, with enhancing logarithmic corrections, via matched asymptotics.
Rossby, A study of Bénard convection with and without ro- tation, Journal of Fluid Mechanics36, 309 (1969)
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Rigorous ultimate scaling in rapidly rotating steady convection
Exact steady single-mode solutions in rapidly rotating convection attain diffusivity-free ultimate scalings for heat transport and flow speed at suitable wavenumbers, with enhancing logarithmic corrections, via matched asymptotics.