Why lift curves go through origin for some airfoils

In summary, some airfoils have lift curves that go through the origin due to their symmetric shape, which results in equal lift forces on both sides. This characteristic is desirable for gliders, but not for commercial airplanes, which prefer cambered airfoils. The angle of attack affects the lift curve by shifting it up or down, and adding flaps or slats can modify the lift curve for symmetric airfoils to increase lift and improve stall characteristics. However, there are also disadvantages to using a symmetric airfoil, such as lower lift and reduced stability.
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Homework Statement



Why does the lift curve, Coefficient of lift plotted against angle of attack, go through the origin of the graph for some airfoils but not for other airfoils

Homework Equations





The Attempt at a Solution

 
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The lift curve for an airfoil is a representation of the relationship between the angle of attack (AOA) and the coefficient of lift (CL). This curve is affected by various factors such as the shape and design of the airfoil, airspeed, and air density.

For some airfoils, the lift curve goes through the origin, meaning that at an AOA of 0 degrees, the CL is also 0. This is known as the zero-lift angle of attack. This occurs because these airfoils are designed to have symmetrical shapes, which means that the upper and lower surfaces of the airfoil have the same curvature. As a result, the airfoil produces no lift when there is no AOA.

On the other hand, for other airfoils, the lift curve does not go through the origin. This is because these airfoils have asymmetrical shapes, with the upper surface being curved more than the lower surface. This creates a difference in the pressure distribution on the upper and lower surfaces, resulting in a lift force even at 0 degrees AOA. This is known as the camber of the airfoil.

In summary, the lift curve goes through the origin for symmetrical airfoils because they produce no lift at 0 degrees AOA, while for asymmetrical airfoils, the lift curve does not go through the origin due to the camber of the airfoil.
 

FAQ: Why lift curves go through origin for some airfoils

1. Why do some airfoils have lift curves that go through the origin?

This phenomenon is known as a symmetric airfoil. The shape of the airfoil is mirrored on both sides, resulting in equal lift forces on the upper and lower surfaces. As a result, the lift curve goes through the origin, indicating that at zero angle of attack, there is zero lift.

2. Is this a desirable characteristic for an airfoil?

It depends on the application. For some aircraft, such as gliders, a symmetric airfoil is desirable as it provides equal lift and reduces drag. However, for most commercial airplanes, a cambered airfoil is preferred as it can generate more lift and has better stall characteristics.

3. How does the angle of attack affect the lift curve for symmetric airfoils?

The angle of attack, which is the angle between the airfoil and the direction of the oncoming airflow, affects the lift curve by shifting it up or down. As the angle of attack increases, the lift curve also increases, until it reaches the maximum lift coefficient at a certain angle of attack. After this point, the lift decreases, and the airfoil stalls.

4. Are there any disadvantages to using a symmetric airfoil?

One disadvantage of a symmetric airfoil is that it produces less lift compared to a cambered airfoil. This can result in a higher takeoff speed and longer takeoff distance for aircraft using symmetric airfoils. Additionally, symmetric airfoils are less stable and can be more difficult to control at high angles of attack.

5. Can the lift curve for a symmetric airfoil be modified?

Yes, the lift curve for a symmetric airfoil can be modified by adding flaps or slats to the airfoil. These devices change the shape of the airfoil, creating camber and increasing the maximum lift coefficient. This allows for greater lift and improved stall characteristics, making it a common modification for aircraft that require higher lift at low speeds, such as commercial airliners during landing and takeoff.

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