JoshTheEngineer | Explained: Area-Mach Number Relation [CPG] @JoshTheEngineer | Uploaded October 2017 | Updated October 2024, 1 hour ago.
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 =====
joshtheengineer.com/2016/11/16/solving-the-area-mach-number-relation
===== ROCKET NOZZLE - METHOD OF CHARACTERISTICS =====
github.com/jte0419/Rocket_Nozzle_Design
===== RELEVANT VIDEOS =====
Area-Mach Number Differential Form
goo.gl/tDzBtM
Sonic State
goo.gl/j6yCxD
Stagnation-to-Static Relations
goo.gl/r5JZSQ
Normal Shock Relations
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 (mix.msfc.nasa.gov/abstracts.php?p=2388) [Public domain], via Wikimedia Commons
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 =====
joshtheengineer.com/2016/11/16/solving-the-area-mach-number-relation
===== ROCKET NOZZLE - METHOD OF CHARACTERISTICS =====
github.com/jte0419/Rocket_Nozzle_Design
===== RELEVANT VIDEOS =====
Area-Mach Number Differential Form
goo.gl/tDzBtM
Sonic State
goo.gl/j6yCxD
Stagnation-to-Static Relations
goo.gl/r5JZSQ
Normal Shock Relations
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 (mix.msfc.nasa.gov/abstracts.php?p=2388) [Public domain], via Wikimedia Commons
![Explained: Area-Mach Number Relation [CPG]](https://i.ytimg.com/vi/bdcxN0u5hMs/hqdefault.jpg "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
► Ill 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")
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This is the eighth video in my 10-video series on coding a program in MATLAB to compute, display, and save a NACA 4-digit airfoil.
IN THIS VIDEO:
We code the radio button for showing the camber line of the airfoil. We also code the Exit button.
Radio Button Video:
https://goo.gl/E4Owva
Exit Button Video:
https://goo.gl/aarwmW
IN THIS SERIES:
Part 1/10 : https://goo.gl/9UBgbo
Part 2/10 : https://goo.gl/jRRcYJ
Part 3/10 : https://goo.gl/rSVLHo
Part 4/10 : https://goo.gl/HwHB39
Part 5/10 : https://goo.gl/AlDne8
Part 6/10 : https://goo.gl/7n1QP7
Part 7/10 : https://goo.gl/nTGleR
Part 8/10 : https://goo.gl/ez247P
Part 9/10 : https://goo.gl/8mXYcc
Part 10/10: https://goo.gl/ovBlbW")
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