I disagree, but (again) only from an amateur's perspective. My basic theory is that the gyroscopic properties have a greater effect on disc dynamics than the change in lift from the rotation itself.
jdizzle3id said:
The left side of the disc will have a greater speed relative to the ambient air than the right.
I don't think the rotational speed has any effect on the lift - I think it only counts in the disc's vector of travel.
Given a "domed" top, the left side of the disc will have a greater aero-dynamic lift than the right side due to fluid-dynamics laws(think airplane wing and think understable).
Ignoring the dome (because it is equal on both sides), again I think lift will be equal because the relative speed of both sides of the disc is equal in the vector of the disc's travel.
I assume a "more overstable" disc has a flatter top, more rim weight, and a shape that would cause the rotational velocity to slow before the linear velocity(i.e. a sharper rim). The flatter top will allow for less aero-dynamic lift on the left side in comparison to the right, a larger rim weight would require a greater aero-dymamic force to offset the rotational inertia/momentum of the disc, and a sharper rim will allow for the rotational velocity to slow before the linear velocity(less friction). This is my theory on over stable disc dynamics. Please let me know if you think differently and your reasoning behind it. And too sum it up, I think the greater spin to linear velocity ratio you put on a disc, the more understable it will act.
Okay. I'm sort of following you here, in that the shape of the wing and the weight distribution effect the precarious balance between the forces created by the rotation itself (gyroscopic or as you put it, rotational inertia) and the motion of the air over the wing(s) (aerodynamics).
As I see it, the gyroscopic properties of a spinning disc help to stabilize it, keeping the wing level with the ground like a top. As long as the wing is roughly level and at enough speed to get lift, the disc will go straight.
Here's where my theories break down. I can't really clearly conceptualize the involved forces: Somehow, every disc has a cruising speed (which is a range, of course). Above this cruising speed, the disc turns right when thrown RHBH. Below this cruising speed, the disc turns left when thrown RHBH. More spin will counteract both of these properties, keeping the disc straight.
If I need to throw a really sharp hyzer, I throw with less speed than the disc needs to attain its cruise speed (and usually roll my wrist under, creating beneficial off-axis-torque). Because of this, I often throw hyzers with discs with high cruise speeds (Predator).
For turnovers, the opposite happens. I am more successful throwing with less spin and more speed. I get less spin by using a slightly different form (the disc is further from my body through the pull), and I often add a touch of off-axis-torque in the other direction.
Before I turn into JR, I'll sign off. Again, this is all my amateur opinion based on my observations, my very elementary understanding of the potential inputs and outputs involved, and my constant reading of internet message boards. I have no training (I'm an attorney, not an aerospace engineer).
You sound like an engineering student to me. I'll have to think about your post and come up with some questions.