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Charlie,
I was always taught that winglets were a benefit
that increased the effective span of a wing at high altitudes. This, over time,
would lead to an increase in fuel savings/economy. It would take a while, and
some effort on your part, but maybe over the next six months or a year you might
run your cross country flights with similar profiles with and without winglets
and see if you can prove the theory. (Well, theory to us but proven in
aerodynamic texts and flight test data.)
Cool nonetheless.
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