JoshTheEngineer | Incompressible Potential Flow Overview @JoshTheEngineer | Uploaded May 2019 | Updated October 2024, 1 hour ago.
This video is a brief introduction to incompressible potential flows. We first obtain the velocity as a function of a scalar potential field (the velocity potential). Then we use the mass conservation equation along with the velocity we found to obtain the equation that governs incompressible potential flow, Laplace's equation.

Because Laplace's equation is linear, the sum of solutions to the equation is still a solution. The power of this result will become clearer when we start to build more complicated flows from what are called "elementary flows", which I will go through in the next video.

==== RELEVANT VIDEOS ====
Curl of the Gradient of a Scalar Field is Zero
- youtube.com/watch?v=A5WYHY8qhe8

Coming soon: elementary flow videos including
- Uniform Flow
- Source/Sink Flow
- Combined Uniform + Source/Sink Flow
- Vortex Flow
- Combined Uniform + Vortex Flow

==== RELEVANT LINKS ====
Blog post about incompressible potential flow
- joshtheengineer.com/2019/05/05/introduction-to-incompressible-potential-flow

GitHub: Panel Methods
► github.com/jte0419/Panel_Methods

==== REFERENCES ====
Fundamentals of Aerodynamics, Anderson
► Chapter 2.15+ (5th edition), Chapter 3.6+
Fundamental Mechanics of Fluids, Currie
► Pg. 63+ (2nd edition), works with complex variables
Foundations of Aerodynamics, Kuethe and Chow
►Chapter 2.11+ for incompressible, Chapter 7.3 for compressible (3rd edition)
Elements of Gasdynamics, Liepmann and Roshko
►Pg. 196+, works in index notation
Theory of Wing Sections, Abbott and Doenhoff
►Chapter 2 (pg. 31+)