Stagnation points for flow around a cylinder

[SaveFerris]

i was just wondering how you'd go about finding the location of stagnation points for an incompressible flow around a cylinder if you know what the stream function is?

Thanks!

 

[mrmiller1]

You have to come up with representative nodes to solve ur equation for velocity and then see which points have no flow velocity. I usually use finite differences at each node to solve the PDE (Navier-Stokes equation). Remember that molecules on the surface have zero velocity.

 

[cjl]

If you know the stream function, it's easy. Just look for points on the surface of the cylinder with zero velocity. Typically, the velocity components can be found from the streamfunction in a fairly straightforward way:

$$u = d\psi/dy$$
$$v = -d\psi/dx$$

At the stagnation point, u and v will be zero.

 

[SaveFerris]

Thank you so much.
This is a great help!