Aerodynamics - short wide v. long narrow wing

[wgt40w]

Is there a formula, assuming the same wing chord (section) is used, to get equal lift from a 'short' wide wing section v. a 'long' narrow section wing - on a fixed plane?

e.g.  if you have a 2000 mm w/span fixed wing - to achieve the same lift, could it be achieved on, say, a 1600 mm w/span with a wider section or chord. Formula to decide how much wider ?

[Lola]

There is a formula, I don't have it but I was reading up on this a few months back. Fact is if you make a longer, thinner chord wing that has the same area as the shorter, thicker wing you will get longer flights. Basically you can look at glider wings.

you can work out the wing area of 1600 span by 250 chord say and jot down the number. Then increase the span to 2000 and drop the chord until the result matches.

Not much help really eh?  Lol

[Lola]

Try this:

Wing area
wing span 2m = 78.75"
wing cord .25 =   9.84"
span x cord 78.75 x 9.84 = 775 sq ins
775 / (divide) 144 = 5.38 sq ft

[skyscraper]

Long thing wings are  usually more efficient on paper but...

There are a couple of other issues. 1 is Reynold Number Basically if the chord is too small then performance suffers at low speeds.

A related effect is that thin wings can suffer from tipstall beacuse of the difference in airspeed at the tips . The tip is often thinner so its Reynolds number is lower... e.g..  Design gets harder as the wings get longer and thinner !

regards
Andy