We consider the Nusselt–Rayleigh number problem of Rayleigh–Bénard convection and make hypothesis that velocity thermal boundary layer widths, $\delta _u$ _T$ , in absence a strong mean flow are controlled by dissipation scales turbulence outside layers and, therefore, order Kolmogorov Batchelor scales, respectively. Under this assumption, we derive $Nu \sim Ra^{1/3}$ high $Ra$ limit, independe...