Explained: Area-Mach Number Relation [CPG]

Can we approximate the exit Mach number of a rocket nozzle knowing only the area ratio? With a few assumptions, we certainly can! In fact, if we know how the area changes along a nozzle from the throat to the exit, we can calculate how the Mach number varies throughout the entire nozzle.

===== NOTES =====
► I'll make sure to never use my orange marker again
► If you download my Method of Characteristics MATLAB code from my GitHub (link below), you can see that the results of both match very closely!

===== HOW TO SOLVE AREA-MACH NUMBER RELATION =====
http://www.joshtheengineer.com/2016/11/16/solving-the-area-mach-number-relation/

===== ROCKET NOZZLE - METHOD OF CHARACTERISTICS =====
https://github.com/jte0419/Rocket_Nozzle_Design

===== RELEVANT VIDEOS =====
Area-Mach Number Differential Form
https://goo.gl/tDzBtM

Sonic State
https://goo.gl/j6yCxD

Stagnation-to-Static Relations
https://goo.gl/r5JZSQ

Normal Shock Relations
https://goo.gl/E5Lwac

===== REFERENCES =====

► Notes by Matt MacLean
► Modern Compressible Flow, Anderson
► Elements of Gasdynamics, Liepmann and Roshko
► Gas Dynamics, Zucrow and Hoffman

===== THUMBNAIL IMAGE =====
By NASA (http://mix.msfc.nasa.gov/abstracts.php?p=2388) [Public domain], via Wikimedia Commons

Видео Explained: Area-Mach Number Relation [CPG] канала JoshTheEngineer