Anelastic convection at high Rayleigh number in a plane parallel layer with no slip boundaries is considered. Energy and entropy balance equations are derived, they used to develop scaling laws for the heat transport Reynolds number. The appearance of an structure consisting well-mixed uniform interior, bounded by thin layers jumps across them, makes it possible derive explicit forms these laws...

This study introduces a new family of volumetric flatness factors which give rigorous parametric description the phenomenon intermittency in fully developed turbulent flows. These quantities gather information about most "active" part velocity field at each scale $\ell$, and allows one to define dimension function $p \to D_p$ that recovers correction structure exponents $\zeta_p$ an explicit wa...