Explained: Stagnation Relations

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

[@Gulozcan123]

I just started to watch video and I was looking for this information for an hour... I want to thank you,

[@JoshTheEngineer]

You're welcome, and I'm glad you found this!

[@Millie_the_Scammer]

This is a kind of video which everyone is looking for

[@panchalprince_]

Hey Josh! Not sure but I don't think I had ever commented on a KZbin video. But your authentic understanding and deep explanation of topics made me to do so. More power to you brother. keep growing :)

[@JoshTheEngineer]

Thanks Prince!

[@Amitkumar-ef7hs]

you are amazing!! you explain everything in the best way possible! really helpful , thank you so much!

[@JoshTheEngineer]

Thanks, I appreciate it!

[@wesramm]

Hey thanks for doing these, Josh. Super helpful. Just discovered them, but am binging.

[@JoshTheEngineer]

Thanks for stopping by! Nothing wrong with binge-watching educational videos. Or anything really.

[@takundamalunga9195]

Thank you Josh, your videos have been really helpful to me. Keep up the good work bro.

[@JoshTheEngineer]

Thanks! I appreciate it!

[@zmcup3958]

Thanks man peace & love 💕

[@cyberdarknes]

Nice Vid thanks! How about the atmospheric Pressure? Is it included in the static pressure or do i just add it to the left hand side of the pressure relation equation?

[@manelsouguir8126]

BRAVO Monsieur

[@FreddieJones64]

How would you calculate the stagnation temperature and pressure at the throat where Ma = 1?

[@JoshTheEngineer]

You would just plug M = 1 into the equations. The resulting equation for P0 or T0 would then simply be a function of either P and gamma, or T and gamma. I have a video about this: kzbin.info/www/bejne/oJ-1ppewo7qkeq8

[@tiddlywinks497]

True legend

[@rahalabdelhak5370]

Thank you so much

[@JoshTheEngineer]

You're welcome!

[@ladin686]

Is there a reason why you denote velocity with u? Would think this is bad practice in thermo calculations since u = internal energy, and has no relation to velocity...

[@ashimchhetri10]

Love your videos man!! U r awesome ✌🤘 its very helpful

[@JoshTheEngineer]

Thanks! I'm glad they're helpful.

[@ggBrUSA]

Thank you so much for this video and others.

[@JoshTheEngineer]

Happy to help!

[@jyujoandoru4177]

your notes at the end mean like, if you have an input M1= 3.8 it is natural to get Po1/Po2= 0.16447031, right? so if someone ask you what is the Po2 or Po1 of M1=3.8?.... is it correct to say that the answer is, 0.16447031?

[@AliRaza-18-18]

Thanks Why is there no Molecular mass term in equation of stagnation temperature. (5:13)

[@JoshTheEngineer]

I guess I'm unsure of where you would expect to see the molecular mass. Can you elaborate?

[@serhatulueren5217]

great work josh! i am actually disabling adblock for your videos. :)

[@JoshTheEngineer]

Ha, thank you! I think I have them so you can skip after 5 seconds.

[@scugglebottom]

Can you tell me why stagnation pressure is used in say compression calculation for example. I see it alot, but is it not a "ficticious" value since you cant realistically get all the energy from the flow?? Or is it usually done for other purposes like its convenience, like in assessing the harnessing of kinetic energy from the flow? Sorry very confused with this. Love the vids by the way

[@mistericeberggg3677]

Hello, thank you for the great video ! I understand everything except the final notes at the end. I dont understand why we can use the equations even if it's not adiabatic or reversible flow. And i dont understand the relations you wrote. Can you help me on that please ? Why T01=T02 everytime for example ?

[@0623kaboom]

wish I could read the red lettering on his white board .. all I see is a slightly darker white

[@junuhunuproductions]

Dayum fire!!!