Re: Helicopters B
Posted: March 16th, 2014, 7:31 pm
I like and encourage the curiosity, exploration and research! I was honestly just curious, not saying if it is necessarily correct or incorrect. I suspect the true optimal angle of attack is highly dependent on the reynolds number of a lifting surface (e.g. 15 degrees would be extremely high for a supersonic aircraft.)
One point to think about is that on most helicopters (and propellers,) the angle of attack changes from the root hub to the tip. This is for a practical reason. If we ignore the impact of the size of the lifting surface (specifically the chord,) drag effects and shape of the airfoil (big things to ignore, I know!) lift can be summarized (up to a limit) as: lift = angle of attack * airspeed across surface. In our small models, we can assume the airspeed is how fast the lifting surface is moving through the air (wind isn't usually a factor.) In a wing this is easy since it the whole thing travels at the same speed.
On a rotor or propeller it's a bit different since they are rotating. When something is spinning around, even though all parts of the radius are moving at the same rotational/angular velocity, different parts are moving at different linear velocities. Specifically, the tips are moving faster than the hub. That means that if the whole lifting surface is at the same angle, the tips would be producing more lift than the hub. That's a problem for a handful of reasons, fundamentally that the tips will be generating more lift than the hub and this will put a lot of strain on the airframe and possibly even break things. To address the efficiency question from above, it might not work very well if the tip is at 15 degrees and the rest of the rotor is at some angle greater than 15 degrees (which would be the situation in the majority of layouts) since the various distances of the rotor would be producing different amounts of lift.
One point to think about is that on most helicopters (and propellers,) the angle of attack changes from the root hub to the tip. This is for a practical reason. If we ignore the impact of the size of the lifting surface (specifically the chord,) drag effects and shape of the airfoil (big things to ignore, I know!) lift can be summarized (up to a limit) as: lift = angle of attack * airspeed across surface. In our small models, we can assume the airspeed is how fast the lifting surface is moving through the air (wind isn't usually a factor.) In a wing this is easy since it the whole thing travels at the same speed.
On a rotor or propeller it's a bit different since they are rotating. When something is spinning around, even though all parts of the radius are moving at the same rotational/angular velocity, different parts are moving at different linear velocities. Specifically, the tips are moving faster than the hub. That means that if the whole lifting surface is at the same angle, the tips would be producing more lift than the hub. That's a problem for a handful of reasons, fundamentally that the tips will be generating more lift than the hub and this will put a lot of strain on the airframe and possibly even break things. To address the efficiency question from above, it might not work very well if the tip is at 15 degrees and the rest of the rotor is at some angle greater than 15 degrees (which would be the situation in the majority of layouts) since the various distances of the rotor would be producing different amounts of lift.