Uploaded February 2018 | Updated September 2026, 2 weeks ago
Let's work through an oblique shock (OS) example. In this video, we will go through four methods for solving OS problems.
1) Derived equations
2) Compressible flow tables (NACA 1135)
3) VT calculator
4) MATLAB functions
===== RELEVANT VIDEOS =====
→ Oblique Shock Derivation
goo.gl/xLYYYP
→ Normal Shock Relations Derivation
goo.gl/Unvjey
→ Normal Shock Example
goo.gl/RBJtgV
===== RELEVANT LINKS =====
► VT Calculator
http://www.dept.aoe.vt.edu/~devenpor/aoe3114/calc.html
► MATLAB Functions
github.com/jte0419/Compressible_Flow_Relations
===== THUMBNAIL CREDIT =====
By Settles1 (Own work) [CC BY-SA 4.0 (creativecommons.org/licenses/by-sa/4.0)], via Wikimedia Commons
Let's work through an oblique shock (OS) example. In this video, we will go through four methods for solving OS problems.
1) Derived equations
2) Compressible flow tables (NACA 1135)
3) VT calculator
4) MATLAB functions
===== RELEVANT VIDEOS =====
→ Oblique Shock Derivation
goo.gl/xLYYYP
→ Normal Shock Relations Derivation
goo.gl/Unvjey
→ Normal Shock Example
goo.gl/RBJtgV
===== RELEVANT LINKS =====
► VT Calculator
http://www.dept.aoe.vt.edu/~devenpor/aoe3114/calc.html
► MATLAB Functions
github.com/jte0419/Compressible_Flow_Relations
===== THUMBNAIL CREDIT =====
By Settles1 (Own work) [CC BY-SA 4.0 (creativecommons.org/licenses/by-sa/4.0)], via Wikimedia Commons
![Explained: TI-83 Linear Interpolation Program [Math]](https://i.ytimg.com/vi/KQzK5z9jkHE/mqdefault.jpg "Explained: TI-83 Linear Interpolation Program [Math]
In this video I show you how to program a linear interpolation equation into your TI-83 graphing calculator.
If you would like to see how the equation is derived, click the link below to my other video.
https://goo.gl/7OA0UU
Here is the code if you already know how to input it into your calculator:
PROGRAM:INTERP
Input X1=,A
Input X2=,D
Input X= ,I
Input Y1=,N
Input Y2=,S
Disp (((S-N)/(D-A))(I-A)+N)")
![Explained: Croccos Theorem [Taylor-Maccoll]](https://i.ytimg.com/vi/KZYHjujYpFk/mqdefault.jpg "Explained: Croccos Theorem [Taylor-Maccoll]
Croccos theorem is needed to obtain the irrotationality condition used later in the overall derivation. The equation is essentially a combination of the momentum and energy equations. The final resulting boxed equation states that the curl of the velocity field is zero, indication an irrotational flow.
The extra videos I mention in this video can be found below.
Momentum Equation: http://www.youtube.com/watch?v=ZH0fiaYGTYQ
Assumptions: http://www.youtube.com/watch?v=HIDeIZO0z-8
Total Derivative: http://www.youtube.com/watch?v=bgUDbntoXBY
TdS Equation: http://www.youtube.com/watch?v=N126SaEGuJA
Vector Identity: http://www.youtube.com/watch?v=0LO-ZcESYdE
Enthalpy: http://www.youtube.com/watch?v=yy5HQ9syrrI")
![Explained: TdS Equation [Taylor-Maccoll]](https://i.ytimg.com/vi/N126SaEGuJA/mqdefault.jpg "Explained: TdS Equation [Taylor-Maccoll]
The TdS equation is a combined statement of the first and second law of thermodynamics. It relates the entropy, enthalpy, and pressure changes in a system (for the form that we need for Croccos theorem). To keep the big picture in mind, recall that I mentioned that Croccos theorem is a combination of the thermodynamics and kinematics of a flow. This equation gives us the thermodynamics part.")
