Magnus force and boundary layer equations

[ponjavic]

First of all I am trying to find a "derivation??" for the Magnus force that affects rotating cylinders and spheres passing moving through air.

By derivation, if it is not correct, I mean a proof, something showing how the function was created.

I have found the magnus force quite easily by searching through the web and it seems to be:

fm=S(v)ω^v

As I said I need some kind of equations leading to this formula.


Also I am wondering if anyone here is familiar with solving boundary layer equations (numerically) as I have a need for doing that but am unable to.

I understand my language is not perfect and I urge you to ask if there is something that is not fully understandable.

 

[ponjavic]

Ok I hope someone has atleast wanted to help with this problem :)
I found this pdf which contain a derivation of the classical magnus force but I am having a hard time understanding it, if someone familiar with advanced physics could give me layman's term rundown I'd be immensly grateful :D

 

[FredGarvin]

Perhaps this link which states a derivation and some sources may be of help:

http://www.madsci.org/posts/archives/jun99/928944018.Ph.r.html

 

[ponjavic]

Perhaps this link which states a derivation and some sources may be of help:

http://www.madsci.org/posts/archives/jun99/928944018.Ph.r.html

I will go through it this evening but I am just wondering if the two derivations are the same?


How come radius isn't important?

And what's the difference if it's a sphere or a cylinder?