Uploaded November 2016 | Updated September 2026, 2 weeks ago
In this video we will derive the stagnation-to-static relations for pressure, density, and temperature. Specifically, these derivations will be carried out in a form that is valid for compressible flow.
===== RELEVANT VIDEOS =====
→ Turbofan Inlet
goo.gl/0s7nSR
→ 1D Energy Eqn
goo.gl/RSXVyc
→ Thermally Perfect Gas
goo.gl/maElnm
→ Specific Heats
goo.gl/kdf1B7
→ Isentropic Relations
goo.gl/Q8Rv9O
===== REFERENCES =====
► Notes by Matt MacLean
► Modern Compressible Flow, Anderson
► Elements of Gasdynamics, Liepmann and Roshko
► Gas Dynamics, Zucrow and Hoffman
In this video we will derive the stagnation-to-static relations for pressure, density, and temperature. Specifically, these derivations will be carried out in a form that is valid for compressible flow.
===== RELEVANT VIDEOS =====
→ Turbofan Inlet
goo.gl/0s7nSR
→ 1D Energy Eqn
goo.gl/RSXVyc
→ Thermally Perfect Gas
goo.gl/maElnm
→ Specific Heats
goo.gl/kdf1B7
→ Isentropic Relations
goo.gl/Q8Rv9O
===== REFERENCES =====
► Notes by Matt MacLean
► Modern Compressible Flow, Anderson
► Elements of Gasdynamics, Liepmann and Roshko
► Gas Dynamics, Zucrow and Hoffman





![Calculating Stoichiometric Fuel-to-Air Ratio
How do you calculate the stoichiometric fuel-to-air ratio for a given fuel? In this video, Ill walk through how to balance the stoichiometric global reaction, and then go through an example for n-decane (C10H22), finally solving for the stoichiometric fuel-to-air ratio.
This fuel-to-air ratio will be important for my future videos on jet engine analysis.
THUMBNAIL CREDIT
By Olivier Cleynen (Own work) [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons Calculating Stoichiometric Fuel-to-Air Ratio](https://i.ytimg.com/vi/P4aV1qbnXMs/mqdefault.jpg)
![Explained: Linspace [MATLAB]
In this video I show you how to use the linspace function in MATLAB to easily create arrays. Explained: Linspace [MATLAB]](https://i.ytimg.com/vi/PA4hJy48eJw/mqdefault.jpg)


![How To: Find Mach Number from a Picture (Part 3)
Want to look at a picture of a bullet/plane/etc. and be able to approximate the Mach number? In the previous videos on this topic (linked to below), I showed three different methods of approximating the Mach number from angles measured in a Schlieren image.
Part 1:
https://goo.gl/50saau
Part 2:
https://goo.gl/gqK19N
For this video, I have updated my Taylor-Maccoll code such that it takes the shock angle and cone angle as inputs (I find them using the Measure Tool from GIMP), and computes the freestream Mach number. This is best way to approximate the Mach number from an image (for conical flow).
I will be explaining and posting my code that I used here in a future video, when I get around to finishing up the derivation of the Taylor-Maccoll equation. If you want to be notified of future videos, please subscribe to my channel.
Photo Credits:
School of Aerospace, Mechanical and Mechatronic Engineering
University of Sydney, 1998-2004
By NASA Glenn Research Center [Public domain], via Wikimedia Commons
NASA photo
http://www.nasa.gov/centers/armstrong/features/shock_and_awesome.html How To: Find Mach Number from a Picture (Part 3)](https://i.ytimg.com/vi/QNcOo5WCR6Q/mqdefault.jpg)
![Explained: NACA 4-Digit Airfoil MATLAB Code [Airplanes]
This video goes through a step-by-step description of the coding of a program to calculate the coordinates of a NACA 4-digit airfoil.
If you would like to know where the equations come from, please see my previous video, located here:
http://goo.gl/FcufZh
To download a GUI I made from this code, visit my GitHub linked to here:
https://github.com/jte0419/NACA_4_Digit_Airfoil Explained: NACA 4-Digit Airfoil MATLAB Code [Airplanes]](https://i.ytimg.com/vi/QezOan1pVgs/mqdefault.jpg)