Analysis of rough-wall forced convection predicts Nu ~ Ra^{0.42} scaling from log temperature profiles, implying the asymptotic ultimate regime Nu ~ Ra^{1/2} is unreachable for heat transfer at finite Ra.
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Heat transfer in rough-wall turbulent thermal convection in the ultimate regime
Analysis of rough-wall forced convection predicts Nu ~ Ra^{0.42} scaling from log temperature profiles, implying the asymptotic ultimate regime Nu ~ Ra^{1/2} is unreachable for heat transfer at finite Ra.