Potential Flow and Method of Images with 3Blue1Brown

Grant Sanderson of 3Blue1Brown asked me to teach him some Fluid Dynamics during his visit to Oxford last year (Feb 2020) – here’s what we got up to…

We look at potential flow for a 2D incompressible, irrotational, inviscid fluid, beginning with the flow fields for the most common situations such as uniform flow, stagnation point flow and a line source. We then derive the potentials for each of these flows and use the method of images to construct the velocity field for a source next to a wall, a source next to a corner and finally for an infinite channel.