I love this stuff! Sure it's easy to know
what happens to a disc under various conditions and most people are content with that. But some of us want to know
why it happens like that too. Sometimes knowing the "why" also allows us to do the "what" better as well. For me personally, I find it amazing that such a simple toy as a frisbee can be so incredibly complex! The science is actually very complex and that evokes in me a response of praise to the awesome Creator who invented all laws and the science in the first place. To realize that to truly understand the flight of a simple disc golf disc takes an understanding of aerodynamics, fluid mechanics, physics, and differential equations makes me smile. Even Sarah Hummel wasn't totally able to describe it all with her engineering Masters' thesis!
OK, I'm trying to understand two concepts that may be related. 1) What makes a disc turn right?, 2) Why does a disc thrown into a headwind turn right (or left into a tailwind)?
In trying to better understand the forces on the disc especially lift I just made a surprising discovery. This is that the typical explanation of the Bernoulli effect in the cause of lift is only partially correct. Popular treatments are often somewhat erroneous.
Here's info from a NASA website written for high schoolers:
http://www.grc.nasa.gov/WWW/K-12/airplane/wrong1.html
"The theory can be labeled
the "Longer Path" theory, or the "Equal Transit Time" theory. The theory states that airfoils are shaped with the upper surface longer than the bottom. The air molecules (the little colored balls on the figure) have farther to travel over the top of the airfoil than along the bottom. In order to meet up at the trailing edge, the molecules going over the top of the wing must travel faster than the molecules moving under the wing. Because the upper flow is faster, then, from
Bernoulli's equation, the pressure is lower. The
difference in pressure across the airfoil produces the lift."
Another discovery was that to truly understand lift one needs to understand the Euler equations. That would require dusting off the partial differential equations that I haven't touched in 28 years, so a complete understanding is a little beyond me right now. I think I've got enough of the general idea anyway, though.
To understand lift you need
both Newton and Bernoulli.
Again, from NASA:
"The real details of how an object generates lift are very complex and do not lend themselves to simplification. For a gas, we have to simultaneously conserve the
mass,
momentum, and
energy in the flow. Newton's laws of motion are statements concerning the conservation of momentum. Bernoulli's equation is derived by considering conservation of energy. So both of these equations are satisfied in the generation of lift; both are correct. "
NASA: "To truly understand the details of the generation of lift, one has to have a good working knowledge of the
Euler Equations."
This is all just preliminary to getting into the details of the 2 questions I'm exploring, but I'll stop here for now. Rameka, I'm hoping that you might find this interesting. Thanks for all the work you've done on this and for introducing this fascinating subject for enquiring minds to chew on.
P.S.- Dave, good to read your contribution. You should check out the link to Hummel's thesis. Fascinating! BTW, you look great in you avatar!