Coefficient of lift formula

AI Thread Summary
The discussion centers on finding a formula for the coefficient of lift that incorporates angle of attack and airfoil shape. It highlights that the coefficient of lift is influenced by factors such as the Reynolds effect and effective angle of attack, which is defined at zero lift. Users are directed to resources for airfoil shapes and tools for analyzing lift, including links to various simulation programs. The conversation concludes that while a specific formula is complex, a general equation is provided, suggesting a relationship between lift coefficient, slope, aspect ratio, and angle of attack. Overall, the coefficient of lift is a measured or modeled value rather than a straightforward formula.
JWSiow
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Hi,

i have to find a formula for the coefficient of lift that has the angle of attack and wing shape (airfoil shape) in it. Also, where can i find airfoil shapes for different planes?

Thanks
 
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This should get you started, 1550 airfoils:

http://www.ae.uiuc.edu/m-selig/ads.html

Do a web search for "airfoil polar", and you should get a few good hits.

The size of the air foil affects coefficient of lift (Reynolds effect). Also it's probably better to use effective angle of attack, which is defined to be zero at the angle of attack that results in zero lift.

The main things to look for are speed range, and lift to drag ratio, at least for gliders (both full scale and models). For small powered civilian aircraft, efficiency is often traded off to ease manufacturing, such as a flat bottom airfoil. High speed aircraft need low drag more than a good lift to drag ratio, especially super-sonic aircraft.
 
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
 
JWSiow said:
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
It's more complicated than that. I'm looking for one, however here's a link to a site with a program you can mess with, it includes lift and coefficient of lift, but not drag.

http://www.lerc.nasa.gov/WWW/K-12/FoilSim/index.html
 
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JWSiow said:
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
No. There isn't. The particulars regarding angle of attack and airfoil shape are rolled into the coefficient. It's a measured value in a wind tunnel or estimated via flow modeling.
 
thanks heaps everyone :D
 
Erm Yeah there is, Cl = Cl(2d slope) * (AR/AR+2)*aoa
 
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