Coefficient of lift formula

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Discussion Overview

The discussion revolves around the search for a formula for the coefficient of lift that incorporates both the angle of attack and the shape of the wing (airfoil shape). Participants also inquire about resources for finding different airfoil shapes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests a formula for the coefficient of lift that includes the angle of attack and wing shape.
  • Another participant provides links to resources for airfoil shapes and mentions the influence of the Reynolds effect on the coefficient of lift.
  • Several participants express uncertainty about the existence of a specific formula that combines wing shape and angle of attack, with one stating that the particulars are rolled into the coefficient and that it is typically a measured or estimated value.
  • A later reply suggests a specific formula involving the slope and aspect ratio, indicating that there may be differing views on the formulation of the coefficient of lift.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether a specific formula exists that incorporates both wing shape and angle of attack, with some asserting that it does not exist while others propose a formula.

Contextual Notes

There is a lack of clarity on the definitions and assumptions related to the coefficient of lift, as well as the conditions under which different formulas may apply.

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
 
Last edited by a moderator:
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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