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.
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.
@@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...
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
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.
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..
a osm explanation of derrivation.perfect. thank you sir for uploading this lecture.
7 років тому+1
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.
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.
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 UA-cam but you begin with reading really good book first : transport phenomena (2002) by Bird/Stewart/Lightfoot
This video was more useful than many hours of lectures at the university. Thank you!
This is marvellous. Why doesn't every class have a professor like you, no class would ever be boring...
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!
The best explanation for the Navier-Stokes Equations I have ever seen. subscribed.
OMG THIS IS ABSOLUTE GOLD
I know!
ikr
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 love when a professor doesn't skip the details.
I've never left a comment on any video - but this is amazing - thank you so much!
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...
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.
It took me 2 years to understand this. Thank you very much for this.
Thanks for uploading quality video which makes Navier-Stokes derivation approachable.
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.
For the meaning of the last equations (9:16 onwards) have a look here en.wikipedia.org/wiki/Newtonian_fluid
The final sentence sums it all up
Beautiful video, thank you for an explanation better than one a any textbook or human can give.
Thank you, very well explained. Hopefully now the derivation in my textbook will be a bit more clear to me.
Very helpful in understanding the various components of fluid turbulence. Thank you for putting up this derivation!!!
Excellent. What a clarity in your explanation!
Thank you very much kind sir, this video helped a lot. Greetings from Czech Republic
Greetings to you back from Boulder
THANK YOU FRIEND
Tony Rios Hi Tony!!! Do you are Chemical Engineering student too??
One of the best explanation :) .. Thank you Dr. Knutsen :)
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
this explanation is so explanatory
Thank you so much for uploading this. It really helped!
Excellent explanation. Very good job!
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.
Superbbbb lecture....Simple and Admirable
What are the NS equations for a relativistic fluid?
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.
Respect, sir. Thank you very much for this insightful explanation!
Liked and subscribed !
Kindly share the details of the software that you are using for making the video
great content !
just the kind of explanation I needed!
thank you so so much !
god level explanation..thanks a lot
SIR, I HAVE A DT why the X momentum equation consist the velocity of y and z directions also
Admirable explanation!
Now i understand EVERYTHING!
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..
Tks...my test about it is tomorrow!!!
tkssss !
perfect explanation
Very clear explanation. Thank you.
Very clear! Thank you!
a osm explanation of derrivation.perfect.
thank you sir for uploading this lecture.
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?
Very good explanation. Thank you, ser!
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
Has anyone thought of including terms for a fourth physical dimension?
Nice explanation
thanks...very easy to understand
Thank you so much, sir! God Bless you
Excelente explanation. Thx a lot
That's really amazing, Thanks a lot.
what is the name of this professor, a real master on the subjec....wao..!!!!!
I don't ever recall having to orient fluid models to represent how gravity would effect it before running flow equations.
3:40 GOTEEEEEM
most underrated comment ever XD
Nailed it!
Great Video, Thanks
Very helpful, thank you!
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
Wow amazing
superb
amazing
the sum of the forces is equal to the mass * acceleration. got it.
Perfect
i owe you my lyf
love U buddy
thanx
Spicy
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 UA-cam 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
better than my lect
I'll do these derivations personally
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 🥂🥂🥂😂😂😂