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Building More Complex Potential Flows (Panel Methods)

We've gone through the elementary incompressible potential flows (uniform flow, source/sink flow, and vortex flow) in previous videos. Now we can build up a more complex flow step by step, using different variations of sources: single source, two sources, many sources, continuous curve of infinite sources, etc. The final equation in this video shows the velocity potential induced at an arbitrary point P in the flowfield due to a uniform flow and N source panels. The next video will go through how we can use this equation to solve for the source panel strengths that will result in a physical flow around our airfoil. ===== RELEVANT VIDEOS ===== ► Panel Methods Playlist    • How To: Run XFoil from MATLAB   ► Source/Sink Flow    • Source/Sink Flow (Incompressible Pote...   ► Uniform Flow    • Uniform Flow (Incompressible Potentia...   ► Uniform + Source/Sink Flow    • Uniform + Source/Sink Flow (Incompres...   ===== NOTES ===== Notes will be included here. ===== ERRORS ===== Let me know if you see any errors and I will include them here. ===== REFERENCES ===== Note: the links are Amazon affiliate links. If you do happen to want to buy the book and use the link below, it helps me out a little. ► Fundamentals of Aerodynamics, Anderson https://amzn.to/3emVuXU ► Foundations of Aerodynamics, Kuethe and Chow https://amzn.to/2yMg1Vi ► Theory of Wing Sections, Abbott and Doenhoff https://amzn.to/2wvZyUt