Uploaded July 2020 | Updated September 2026, 2 weeks ago
We've finally reached the last video in my panel method series. Here, I'll show you how to update my single-airfoil SPVP code to be able to solve multi-airfoil systems. After explaining the updates (which takes about 20 minutes), we'll go through some examples of different airfoils and systems.
===== CODE =====
► My website
joshtheengineer.com/2020/07/12/multi-airfoil-source-vortex-panel-method
► GitHub
github.com/jte0419/Panel_Methods
===== RELEVANT VIDEOS =====
► Panel Methods Playlist
youtube.com/watch?v=bWjo3N9COz4&list=PLxT-itJ3HGuUDVMuWKBxyoY8Dm9O9qstP
► Source Panel Method: Airfoil
youtube.com/watch?v=fdNOYdwY9Bw
► Vortex Panel Method: Airfoil
youtube.com/watch?v=JL2fz-xTTT0
► Source/Vortex Panel Method: System of Equations
youtube.com/watch?v=bc_pkKGEypU
► Source/Vortex Panel Methods: Airfoil
youtube.com/watch?v=V77QTAgZuqw
===== NOTES =====
→ I haven't coded this particular script in Python, and I'm not sure if I'm going to. You can download my single-airfoil SPVP code and update it based on my MATLAB code if you want to.
→ More airfoils and more panels per airfoil will cause the streamline calculations to take longer.
→ The grid for the streamline has to have equal X and Y points at the moment. I know there's an error since it doesn't work for irregular grids, but I'm not planning on fixing it at the moment.
===== ERRORS =====
→ If you see an error in the video, please let me know and I will include it 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
amzn.to/3emVuXU
► Foundations of Aerodynamics, Kuethe and Chow
amzn.to/2yMg1Vi
► Theory of Wing Sections, Abbott and Doenhoff
amzn.to/2wvZyUt
We've finally reached the last video in my panel method series. Here, I'll show you how to update my single-airfoil SPVP code to be able to solve multi-airfoil systems. After explaining the updates (which takes about 20 minutes), we'll go through some examples of different airfoils and systems.
===== CODE =====
► My website
joshtheengineer.com/2020/07/12/multi-airfoil-source-vortex-panel-method
► GitHub
github.com/jte0419/Panel_Methods
===== RELEVANT VIDEOS =====
► Panel Methods Playlist
youtube.com/watch?v=bWjo3N9COz4&list=PLxT-itJ3HGuUDVMuWKBxyoY8Dm9O9qstP
► Source Panel Method: Airfoil
youtube.com/watch?v=fdNOYdwY9Bw
► Vortex Panel Method: Airfoil
youtube.com/watch?v=JL2fz-xTTT0
► Source/Vortex Panel Method: System of Equations
youtube.com/watch?v=bc_pkKGEypU
► Source/Vortex Panel Methods: Airfoil
youtube.com/watch?v=V77QTAgZuqw
===== NOTES =====
→ I haven't coded this particular script in Python, and I'm not sure if I'm going to. You can download my single-airfoil SPVP code and update it based on my MATLAB code if you want to.
→ More airfoils and more panels per airfoil will cause the streamline calculations to take longer.
→ The grid for the streamline has to have equal X and Y points at the moment. I know there's an error since it doesn't work for irregular grids, but I'm not planning on fixing it at the moment.
===== ERRORS =====
→ If you see an error in the video, please let me know and I will include it 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
amzn.to/3emVuXU
► Foundations of Aerodynamics, Kuethe and Chow
amzn.to/2yMg1Vi
► Theory of Wing Sections, Abbott and Doenhoff
amzn.to/2wvZyUt
![Explained: Area-Mach Number Relation
Ever wonder why rocket nozzles have an hourglass shape, or why fighter jets use something called a converging-diverging nozzle? This video goes through one of the most fundamental concepts in compressible flow, and shows you why you need to first shrink down the area, and then expand the area to get supersonic flow.
NOTES
► When I talk about the choked flow, I didnt make it clear that you can increase the choked mass flow rate through the nozzle by increasing the stagnation pressure upstream of the nozzle. The mass flow rate will not increase only if you keep the same geometry and upstream stagnation conditions. That is, you cant increase the mass flow rate when the flow is choked by only decreasing the throat area and/or decreasing the back pressure.
► The flow will be sonic at the throat for isentropic flow (see the assumptions used in the derivation). This is not the case for real flows.
RELATED VIDEOS
→ 1D Mass Conservation
https://goo.gl/Wo8mcV
→ 1D Momentum Conservation
https://goo.gl/YJypbz
→ 1D Mass Conservation in Differential Form (Blog Post)
https://goo.gl/Q4ac2t
→ Speed of Sound
https://goo.gl/HPtH16
→ Sonic State
https://goo.gl/eou3aC
REFERENCES
► Notes by Matt MacLean
► Modern Compressible Flow, Anderson
► Elements of Gasdynamics, Liepmann and Roshko
► Gas Dynamics, Zucrow and Hoffman
THUMBNAIL PHOTO CREDIT
By NASA [Public domain], via Wikimedia Commons Explained: Area-Mach Number Relation](https://i.ytimg.com/vi/DRjWdDxVtRM/mqdefault.jpg)


![Explained: Airfoil Chord [Airplanes]
The airfoil chord is a vital part of understanding the angle of attack of an airfoil, as well as other aerodynamic parameters in aircraft design. The definition of the chord line is straightforward, while the definition for the leading edge (LE)/trailing edge (TE) are a little more ambiguous.
Second of All Comment
The first of all comment (that I made in the video) was that the angle of attack actually changes based off of where you define the leading edge to be. The comment I forget to say in the video is that the chord length also changes based on the LE location. For the minimum x value LE, the chord line is longer than the minimum radius of curvature LE. Explained: Airfoil Chord [Airplanes]](https://i.ytimg.com/vi/Eh5W61iswSY/mqdefault.jpg)

![In a Nutshell: Afterburners
Lets talk about what afterburners are, when theyre used, and how they work. In my first In a Nutshell video, Im testing the waters on giving simplified explanations for complicated topics. Let me know what you think.
RELATED VIDEOS
→ Detailed Afterburner Video
https://goo.gl/nt9KBp
REFERENCES
► Afterburners in The Aerothermodynamics of Aircraft Gas Turbine Engines, Zukoski
► Mechanics and Thermodynamics of Propulsion, Hill and Peterson
► Aerothermodynamics of Gas Turbine and Rocket Propulsion, Oates
► Aircraft Propulsion, Farokhi
► Aerospace Propulsion Systems, Ward
► Fundamentals of Jet Propulsion with Applications, Flack
THUMBNAIL PHOTO CREDIT
By United States Navy, Mass Communications Specialist 2nd Class Michael D. Cole [Public domain], via Wikimedia Commons In a Nutshell: Afterburners](https://i.ytimg.com/vi/EuITkZPd5c4/mqdefault.jpg)


![Explained: Angle of Attack [Airplanes]
The angle of attack (AoA) is one of the most important parameters when studying how planes fly. By definition, it is the angle between some reference line of the plane (in our case the chord line of the wing) and the relative wind. The AoA will be vital when talking about lift curves and how wings generate lift.
Chord Line: http://www.youtube.com/watch?v=Eh5W61iswSY Explained: Angle of Attack [Airplanes]](https://i.ytimg.com/vi/Fm2Az-PgPUU/mqdefault.jpg)

