Fully developed anelastic convection with no-slip boundaries

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. These given terms number, Prandtl bottom top temperature ratio, which also measures how much density varies layer. boundary examined found be very different, unlike Boussinesq case. Elucidating plays crucial part determining Physical arguments governing presented, concentrating on case so that vary little even though there may substantial variations whole Different found, depending whether viscous dissipation primarily or bulk. cases both low Numerical simulations no-slip anelastic up $10^7$ have been performed our theoretical predictions compared numerical results.