Global mean vertical enthalpy flux for 13 non-synchronous HD209458b-like models spanning the rotation range Ω_rot = 0.5Ω_orb → 4Ω_orb, where Ω_orb = Ω₀ is held constant. Here negative fluxes indicate net downward enthalpy transport. We note that there is a slight scatter in the mean vertical enthalpy flux around Ω_rot = Ω_orb = Ω₀ can be linked with the averaging window and the current state on long timescale oscillations in the atmosphere. The main takeaway from this figure should be that the vertical enthalpy flux rapidly drops off when the different between the orbital and rotational periods increases.