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Re: large fossil birds
This is a multi-fold response, partly related to optimum orientation
of the skeletal support system, partly a response to the spanwise
component of flow over the wing, and partly related to reducing span
to minimize profile drag at the higher speeds associated with
increased loading.
Ah, okay, that all makes sense.
Also keep in mind that an elliptical planform doesn't result in
minimum induced drag for a cranked wing. Minimum induced drag for a
cranked wing occurs with a more triangular tip.
This doesn't surprise me, because it matches familiar biological
patterns (ie. species using cranked wings generally have tapered tips).
Why is it, though, that cranked wings have a different optimal tip
profile?
Induced drag decreases with the square of the airspeed, so at high
speed the high effective aspect ratio is unnecessary and is reduced by
closing the tipslots (thereby also reducing the profile drag).
Essentially, they are morphing the wing for minimum total drag in
response to the speed that they wish to fly.
Interestingly, some eagles use very long, shallow stoops and will morph
their wings gradually as they pick up speed to continually minimize
drag (and probably also to increase wing loading to some degree).
I would expect flight speed in the mid to large size azhdarchidae to
approach 45-70 mph with the larger ones being faster, but also note
that membrane wings have an upper speed limit that is a function of
aeroelastic number, which is in turn partly an inverse function of
lift coefficient. In short, the wing flutters if the speed gets too
high.
Makes sense to me. In terms of maximum speeds, there is a rather fun
anecdotal paper that describes an albatross utilizing winds from a
strong Antarctic storm to fly at a sustained average speed of 127 km/hr
for 9 hours (the animal had been tagged with a electronic tracker
previous to the observation). Apparently it's the fastest recorded
sustained soaring flight speed (note that the speed given is the ground
speed). I have the reference in pdf for those curious. It's obviously
not a good example of the 'normal' conditions, but it's still fun to
read.
Cheers,
--Mike