Time-averaged vertical profiles of the radiative, advective, and total flux for different runs. Top panel: run 442P during a highly convective episode. Middle panel: same run but averaging over convective and non convective episodes. Bottom panel: run 434P where there is no convection. The vertical line indicates the height above which magnetic pressure becomes larger than thermal pressure. The dashed line shows N²/ Ω² where N is the Brunt-Väisälä frequency.