JoshTheEngineer | Explained: Turbojet Thrust Equation @JoshTheEngineer | Uploaded January 2017 | Updated October 2024, 7 hours ago.
Let's derive the thrust equation for a turbojet engine! In this video I'll show you how to derive the thrust equation for a single-inlet, single-outlet air breathing engine (turbojet is kind of just a buzzword here, because the engine doesn't necessarily need to only be a turbojet).

Yes, this video is heavy on the math, but I'm planning on starting a video series called 'In a Nutshell', which will take some of my math-heavy videos and break them down in to shorter, more easily understandable videos that focus on the big picture. Stay tuned for those.

===== RELEVANT VIDEOS/LINKS=====
→ Mass Conservation Derivation
goo.gl/Qx7PZ6

→ 1D Mass Conservation
goo.gl/hM46LU

→ Momentum Conservation Derivation
goo.gl/DuYHcG

→ 1D Momentum Conservation
goo.gl/8uo6VM

→ Surface Area Blog Post
goo.gl/1s2z2X

→ Turbofan Thrust Equation Derivation
joshtheengineer.com/2017/04/08/turbofan-thrust-equation

===== EXTRA LINKS =====
► This is the Wikipedia page for Turbojets, and while I don't tend to like Wiki pages for math, take a look at the 'Net Thrust' section.
en.wikipedia.org/wiki/Turbojet

===== ASSUMPTIONS =====
1) Flow is reversible external to the engine
2) Steady state
3) No viscous forces
4) No heat addition
5) No body forces
6) Velocity only has X-direction component
7) Momentum from fuel flow rate is negligible

===== THUMBNAIL PICTURE ATTRIBUTION =====
By Jeff Dahl [GFDL (gnu.org/copyleft/fdl.html) or CC BY-SA 4.0-3.0-2.5-2.0-1.0 (creativecommons.org/licenses/by-sa/4.0-3.0-2.5-2.0-1.0)], via Wikimedia Commons
Modified slightly by me