Vortex Flow (Incompressible Potential Flow)

[@samszeto7303]

Thank you so much for these videos, they are really well explained

[@JoshTheEngineer]

No problem!

[@joeyeats2801]

Great video. You should make another video on using a mirror vortex to simulate the flow of a vortex against a wall!

[@JoshTheEngineer]

Thanks, and that's a good idea! It's a useful demonstration for airfoil ground effect, so perhaps that'll be a video I make in the future.

[@ruili9830]

Hi Josh! Thank you for your video and I really learnt a lot from them. I'm now working on the panel method and I'm wondering what influences does the circulation shape have on the flow? As you shrink the circle from 2 to 0.5 and moved it from (0,0) to (0,2), but it seems that there is no difference between the results before and after except the circulation value.

[@JoshTheEngineer]

Hey Rui, I'm glad my videos are helpful! So the nice thing about computing the circulation is that the closed curve (in my case the circle/ellipse) can have any shape, and the computed circulation value won't change. So let's say we have a single vortex at the origin (0,0). We can draw any shape (closed curve), and as long as the shape does not enclose the origin, the circulation will be zero. We can then draw a different shape (closed curve), and as long as that one does enclose the origin, the circulation value will be equal to the vortex strength. I choose to compute the circulation using an ellipse because it is easy to parameterize with a single variable (theta), and it's easy to specify its size (major and minor axis) and its location (offset values). An ellipse sort of looks like an airfoil, so in my future vortex panel method video, it will be easy to encompass the airfoil in an ellipse to compute the circulation around the airfoil. But you can use any shape you want!

[@ruili9830]

@@JoshTheEngineer Thank you for your reply Josh. Your reply is very detailed and solved my confusions. I'm looking forward to your future videos!

[@dariorodriguez6267]

I really want to thank you, your videos have helped me a lot. Just an quick doubt, which editor you use for python ? Thanks

[@JoshTheEngineer]

You're welcome! I use Spyder, which you can get if you download Anaconda (it comes with Anaconda): www.anaconda.com/