Coefficient of lift formula

In summary, the conversation discussed the search for a formula for the coefficient of lift that incorporates the angle of attack and wing shape. The speaker recommended doing a web search for "airfoil polar" and provided a link for 1550 airfoils. They also mentioned that the size of the airfoil and the speed range can affect the coefficient of lift, and suggested looking for an effective angle of attack. The conversation also mentioned the importance of lift to drag ratio for gliders and high speed aircraft, and provided links to programs for further exploration. In conclusion, the formula for the coefficient of lift is a measured value based on wind tunnel testing or flow modeling.
  • #1
JWSiow
21
0
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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  • #2
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.
 
  • #3
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
 
  • #4
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:
  • #6
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.
 
  • #7
thanks heaps everyone :D
 
  • #8
Erm Yeah there is, Cl = Cl(2d slope) * (AR/AR+2)*aoa
 

What is the coefficient of lift formula?

The coefficient of lift formula is a mathematical equation used to calculate the lift force generated by an airfoil. It is represented by the symbol "Cl" and is dependent on various factors such as the shape and angle of the airfoil, air density, and airspeed.

How is the coefficient of lift formula derived?

The coefficient of lift formula is derived from the Bernoulli's principle, which states that as the velocity of a fluid (such as air) increases, its pressure decreases. This principle is applied to the airfoil shape and the resulting lift force is calculated using the formula.

What is the significance of the coefficient of lift in aerodynamics?

The coefficient of lift is a crucial factor in aerodynamics as it determines the amount of lift force generated by an airfoil. This force is what keeps an aircraft in the air and is essential for achieving flight. The coefficient of lift also affects the stability and control of an aircraft.

How does the angle of attack affect the coefficient of lift?

The angle of attack, which is the angle between the airfoil and the direction of air flow, directly affects the coefficient of lift. As the angle of attack increases, the coefficient of lift also increases up to a certain point, after which it starts to decrease. This is known as the critical angle of attack and is crucial for controlling the lift and stability of an aircraft.

What are some limitations of the coefficient of lift formula?

The coefficient of lift formula is based on ideal conditions and does not take into account factors such as turbulence, airfoil shape variations, and non-uniform air flow. It also assumes a steady flow of air, which may not always be the case in real-life situations. Therefore, the results obtained from this formula may not always be accurate and should be considered as a general approximation.

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