Description and Derivation of the Navier-Stokes Equations

The equations of motion and Navier-Stokes equations are derived and explained conceptually using Newton's Second Law (F = ma).

Made by faculty at the University of Colorado Boulder, College of Engineering & Applied Science.

[mertgunes]

so this is what it feels like to be TAUGHT something

*gratitude*

[erickgomez]

There should be an organization that gives awards for best educational youtube videos each year. This one deserves an award.

[ArpitAnand-ydtr]

The amount of intuition conveyed by the instructor to the audience is absolutely unbelievable
Thank you

[sayyedahmadkhadem]

Truly enjoyed the way the instructor explained this phenomenal PDE! This shows how deep he understands the concept!

[guilhermehambrusch]

Oh my god, what an incredible explanation. Congratulations.

[adamchelchowski]

If you can explain someone the idea of something, it means you really do understand the matter of that topic. This video is a true example of how a really difficult topic may be presented to students and others in an extremely accessible way. Thank you for those 11 minutes.

[AravindUkrd]

That's among the most meaningful 11 minutes I have ever spent

[MathsatBondiBeach]

Not bad for 11:17 mins. Euler's original work on fluids (in French - see the Euler Archive) follows this approach in substance.

[DERIVATIVES-mhej]

You're the only video that actually explained what the purpose of the total derivative was in this equation. Only after watching this do I know the equation is describing the change of the velocity of a particle of fluid as it moves through space, as opposed to my initial understanding which thought it was just describing the change of the vector field itself.

[GaiaKnight]

OH MY GOD. Sir, you have just OPENED MY EYES. Thank you!

[marcelohurtadocastillo]

The best explanation of the Navier Stokes's ecuation that I have seen until now

[fslurrehman]

The best explanation of what Navier Stokes Equation is and how to derive it. Also a good correlation with a venturimeter.

[diliprockz]

That was really simple and easy to understand. Thank you!

[smitkapadia]

Thank you for this amazing easy-to-understand breakdown of the Navier-Stokes Equations! Been trying to understand them since a while and this makes matters so simple :))

[Eta_Carinae__]

Jesus, this was good. Been meaning to get into this for a while.

[tivnator]

Could you please explain how the constitutive equations for newtonian fluid are built? Please. You made an amazing explanation!!!

[durbhaganapati]

This channel has got surprisingly less number of subscribers
The way of making things easier... just felt awesome

[kacelamal]

the best explanation I have ever seen. You really made it easier to understand for us. Thanks a lot

[Junhyun-Park]

thank you so much!! It was the most beautiful explanation that I ever heard.

[AnindyaMahajan]

Neat explanation, but I think you should have went into the derivation for the relationship between stress and velocity profile as well. Just for the sake of completeness.