Description and Derivation of the Navier-Stokes Equations
HTML-код
- Опубликовано: 9 сен 2024
- Organized by textbook: learncheme.com/ The equations of motion and Navier-Stokes equations are derived and explained conceptually using Newton's Second Law (F = ma). Made by faculty of the Mechanical Engineering Department and processed by the Chemical and Biological Engineering Department, University of Colorado Boulder.
Check out our Fluid Mechanics playlist: • Fluid Dynamics
Check out our website for interactive fluid mechanics simulations: www.learncheme....
This video was more useful than many hours of lectures at the university. Thank you!
OMG THIS IS ABSOLUTE GOLD
I know!
ikr
OMG, this is the first time of the past 10 years of learning that I could understand this so intuitively! A big Thanks to you Sir from Shanghai!
This is marvellous. Why doesn't every class have a professor like you, no class would ever be boring...
I love when a professor doesn't skip the details.
Thank you so so so so much. I’m taking an aerodynamics course and between the textbook, professor, TA, and two tutors, nobody could give me a straight worked out derivation. I’m sure the professor knows it, but just couldnt articulate it. I dont understand how Anderson thinks you can skip 90% of this and still call it a derivation.
Who is Anderson and what do these do with him?
Yeah, I also wonder who the Anderson is...
@@maksimmandelshtam9157 J.D Anderson. I guess. He has written books on Aerodynamics and nany more subjects in field if Aerospace. I am just guessing that it's him. Maybe someone other Anderson too...
The final sentence sums it all up
This video is actually really good, and I am studying fluid mechanics in french.
I really appreciate all the efforts you have put in this, I can really tell you put a good amount of time into this.
Thank you so much.
I've never left a comment on any video - but this is amazing - thank you so much!
Thanks for spending the time to create this content! It’s appreciated 🙏🏾
Bravo! I did mechanical engineering and am here for a refresher, this I am sure has never made more sense to me as it does now, and I enjoyed it.
Thanks for uploading quality video which makes Navier-Stokes derivation approachable.
It took me 2 years to understand this. Thank you very much for this.
Bro, you are a lifesaver. I'm currently using TELEMAC 2D, but I felt kind of guilty bc I didn't knew what the software was doing. Love you bro.
Thank you, very well explained. Hopefully now the derivation in my textbook will be a bit more clear to me.
THANK YOU FRIEND
Tony Rios Hi Tony!!! Do you are Chemical Engineering student too??
this explanation is so explanatory
For the meaning of the last equations (9:16 onwards) have a look here en.wikipedia.org/wiki/Newtonian_fluid
Beautiful video, thank you for an explanation better than one a any textbook or human can give.
thanks for the video. Have you thought that the reason that the Navier-stokes equation fails in turbulence is that it is based upon elastic collisions (conservation of momentum and energy) when in fact the collisions are inelastic: see my recently published paper in engineering journal: google "EJERS" click on "archives" click on "Jan 2020" and my paper "illusions of elastic..." is near the bottom of the ;list, by Kent w Mayhew
Very helpful in understanding the various components of fluid turbulence. Thank you for putting up this derivation!!!
Thank you so much for uploading this. It really helped!
Thank you very much kind sir, this video helped a lot. Greetings from Czech Republic
Greetings to you back from Boulder
Excellent. What a clarity in your explanation!
Now i understand EVERYTHING!
One of the best explanation :) .. Thank you Dr. Knutsen :)
Excellent explanation. Very good job!
god level explanation..thanks a lot
great content !
just the kind of explanation I needed!
thank you so so much !
Uniqueness and beauty of NS is : forces cause acceleration ( as per Newton 2d Law) and acceleration causes fictitious forces. So causality (cause-and-effect)) is circular here.
Superbbbb lecture....Simple and Admirable
Respect, sir. Thank you very much for this insightful explanation!
Liked and subscribed !
Admirable explanation!
Very clear! Thank you!
Very clear explanation. Thank you.
thanks...very easy to understand
a osm explanation of derrivation.perfect.
thank you sir for uploading this lecture.
Very good explanation. Thank you, ser!
Tks...my test about it is tomorrow!!!
tkssss !
You explained it very well. Please also explain the relation between Reynolds equation and NS. Thanks.
He will copy /paste Reynolds number as ratio of inertial forces ( guess what it is ) and viscous forces, which is another common misconception for people who do not want to think..
Nailed it!
perfect explanation
Thank you so much, sir! God Bless you
Nice explanation
That's really amazing, Thanks a lot.
Great Video, Thanks
I don't ever recall having to orient fluid models to represent how gravity would effect it before running flow equations.
Very helpful, thank you!
what is the name of this professor, a real master on the subjec....wao..!!!!!
Excelente explanation. Thx a lot
Has anyone thought of including terms for a fourth physical dimension?
Wow amazing
SIR, I HAVE A DT why the X momentum equation consist the velocity of y and z directions also
superb
What are the NS equations for a relativistic fluid?
amazing
Kindly share the details of the software that you are using for making the video
Hi. I'm a Chemical Engineering student as well. As for both chemical and biochemical process simulation, what are THE BEST softwares would you recommend ? P/S: The software should be able to perform simulations for both the aforementioned processes.
you can use fluent its a part of anysys
3:40 GOTEEEEEM
most underrated comment ever XD
Perfect
This is only the momentum balance, the energy and mass balance equations have been left out.
energy balance assumes elastic collisions see paper "Illusions of elastic collisions..." google "ejers" click on archives and its in Jan 2020
love U buddy
thanx
Have you created a video about those tension forces (I may be wrong), those Sigmaxx,
Sigmayy, Sigmazz, Taoxy, Taoyx, Taoyz, Taozy, Taozx and Taoxz ?
Thank you.
@@sonsoftheconfederacy2940 k
why do we take normal stresses?
the sum of the forces is equal to the mass * acceleration. got it.
i owe you my lyf
why do we need the chain rule at 2:20
Great question. You use the chain rule because u is a function of more that just time: also x, y, and z.
better than my lect
Spicy
I'll do these derivations personally
If people just interested in passing test this presentation is just copy/past from any not very good textbook will help.I spent too much time to find out meaning of NS just because of this same rubbish again and again. Too lazy to put some presentation on RUclips but you begin with reading really good book first : transport phenomena (2002) by Bird/Stewart/Lightfoot
Can you recommend some good videos explaining cfd?
This is not the exact derivation of the Navier stokes equation
Who came here after watching gifted?
I'm here because I have an exam in 3 hours
@@Dan-bg5fm all the best bruvv 🌹😅
You sound like Jeffrey Dahmer, but happier
U can’t sum iron by wood 🥂🥂🥂😂😂👑👑👑👑👑👑👑
All is wrong 🥂🥂🥂😂😂😂