Don't know if I agree with holding it on the ground to get the greatest lift-off speed possible. In a Part 25 airplane, you'll have a no-flap set of V-speeds, including Vr, if a no-flap take-off is an option. Maybe a slightly less brisk rotation, if you prefer, but you are committed at V-1. Remember that the true airspeed at a high density airport is higher. So, you are flying "faster", in terms of obstacle clearance, runway needed to achieve V-1, V-R, etc. According to an excerpt from the 8400-series Handbook at the FAA website, less flaps at high density altitudes means a longer takeoff run, but an improved climb gradient. Aerodynamic drag is cited in the excerpt as one reason for the effect of flaps on climb performance in such a scenario. (Another way to say it might be less lift, or an unacceptable lift/drag ratio.) Climb gradient is a function of both rate of climb and groundspeed. As noted, at high density altitude, TAS (and, hence groundspeed) is already higher, and if the flaps are detracting from climb capability more than usual (they usually detract from climb rate capability, but allow instead for a steeper gradient during the initial climb), there is a point at which a no flaps takeoff could produce a better climb gradient, despite the higher takeoff V speeds invloved (for a given weight).
To say that an airfoil is insensitive to air density seems intuitively at odds with an AOA readout at high altitude (and relatively high true airspeed) in various configurations, as compared to AOA readout in the same configurations at much lower altitudes. Take the extreme hypothetical: zero or "trace" air density. Will the wing fly? (Loss of thrust is significant, too, of course, but focusing for the moment on the other aerodynamic effects.)
Incidentally, I have begun to review limitations for an airplane I'm about to train in--there is a max altitude for flap extension, not just a max airspeed.
To say that an airfoil is insensitive to air density seems intuitively at odds with an AOA readout at high altitude (and relatively high true airspeed) in various configurations, as compared to AOA readout in the same configurations at much lower altitudes. Take the extreme hypothetical: zero or "trace" air density. Will the wing fly? (Loss of thrust is significant, too, of course, but focusing for the moment on the other aerodynamic effects.)
Incidentally, I have begun to review limitations for an airplane I'm about to train in--there is a max altitude for flap extension, not just a max airspeed.
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