Circulation around a plane wing.

[billy92]

After looking into the lift force i hve been able to calculate most of the things i know. I have however been told that i need to use circulation and vorticity to show that the air flows faster over the wing than below it. I need to show this mathematically by derviving an equation but i am unsure where to start.

Would anybody be able to help without making things too complicated

 

[boneh3ad]

There isn't some magic equation to use. There is basically no simple way to do it. For a slow (M<0.3) airfoil, the easiest way to determine circulation is probably using a simple inviscid panel method code and enforcing the Kutta condition. That will give you a circulation value.

For faster flows, compressibility becomes important and the problem becomes more difficult. Once you reach the point of having a supersonic leading edge, circulation is no longer the important factor and you can determine lift from the series of shocks and expansions and the resulting pressure fields.

 

[billy92]

I have been told to use the following resource

http://books.google.co.uk/books?id=...on fluid dynamics&pg=PA18#v=onepage&q&f=false

I was able to show that for a faster speed the pressure is less using bernoulli principle. I now need to show that the speed is greater above the wing. WOuld anyone be able to explain how the link shows this in more simpler terms

Thanks