'Dissipation' is flow. If you include that dissipation into your
sum, there is no net flow. Otherwise, as stated above, the
ambient pressure at ground level would steadily increase and,
as you note below, the pressure higher up woudl steadily drop.

But the ambient pressure at ground level =does= increase, by an amount
equal to the weight of the airplane (divided by the surface area of the
earth). This remains true for as long as the airplane is being
"supported" by the air.

Jose
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