Description and Derivation of the Navier-Stokes Equations

Поделиться
HTML-код
  • Опубликовано: 28 дек 2024

Комментарии • 96

  • @alexanderhasenclever7424
    @alexanderhasenclever7424 5 лет назад +27

    This video was more useful than many hours of lectures at the university. Thank you!

  • @harisundar5707
    @harisundar5707 4 года назад +5

    This is marvellous. Why doesn't every class have a professor like you, no class would ever be boring...

  • @qiushizhang2664
    @qiushizhang2664 5 лет назад +11

    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!

  • @KPrivateSave-xw6qd
    @KPrivateSave-xw6qd Месяц назад

    The best explanation for the Navier-Stokes Equations I have ever seen. subscribed.

  • @ianprado1488
    @ianprado1488 5 лет назад +13

    I love when a professor doesn't skip the details.

  • @aravindsuresh6202
    @aravindsuresh6202 7 лет назад +87

    OMG THIS IS ABSOLUTE GOLD

    • @yiyidu
      @yiyidu 5 лет назад

      I know!

    • @vyrsh0
      @vyrsh0 4 года назад

      ikr

  • @channagirijagadish1201
    @channagirijagadish1201 2 года назад

    Thanks for uploading quality video which makes Navier-Stokes derivation approachable.

  • @rkhreish1
    @rkhreish1 7 лет назад +3

    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.

  • @tiger6912
    @tiger6912 7 лет назад +19

    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.

    • @datvuong7420
      @datvuong7420 6 лет назад +3

      Who is Anderson and what do these do with him?

    • @maksimmandelshtam9157
      @maksimmandelshtam9157 6 лет назад

      Yeah, I also wonder who the Anderson is...

    • @satyapratik
      @satyapratik 6 лет назад

      @@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...

  • @zacharydavis4398
    @zacharydavis4398 3 года назад +1

    Thanks for spending the time to create this content! It’s appreciated 🙏🏾

  • @serensrainbow
    @serensrainbow 5 лет назад +4

    I've never left a comment on any video - but this is amazing - thank you so much!

  • @thinker8682
    @thinker8682 4 года назад +2

    The final sentence sums it all up

  • @aaa4363
    @aaa4363 6 лет назад

    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.

  • @DrCalabaz0
    @DrCalabaz0 4 года назад

    It took me 2 years to understand this. Thank you very much for this.

  • @martinasenov5236
    @martinasenov5236 7 лет назад +5

    For the meaning of the last equations (9:16 onwards) have a look here en.wikipedia.org/wiki/Newtonian_fluid

  • @eduardogarciatapia4026
    @eduardogarciatapia4026 6 лет назад

    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.

  • @joshuachang4564
    @joshuachang4564 6 лет назад

    Beautiful video, thank you for an explanation better than one a any textbook or human can give.

  • @adhavankadhiravan4132
    @adhavankadhiravan4132 6 лет назад

    Excellent. What a clarity in your explanation!

  • @metallothionein9
    @metallothionein9 6 лет назад

    Very helpful in understanding the various components of fluid turbulence. Thank you for putting up this derivation!!!

  • @fruitcake232
    @fruitcake232 7 лет назад +4

    Thank you, very well explained. Hopefully now the derivation in my textbook will be a bit more clear to me.

  • @nambuzij
    @nambuzij 3 года назад

    this explanation is so explanatory

  • @kent5915
    @kent5915 5 лет назад +1

    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

  • @xkerberosx1
    @xkerberosx1 6 лет назад +1

    Thank you very much kind sir, this video helped a lot. Greetings from Czech Republic

    • @csjdruid434
      @csjdruid434 5 лет назад

      Greetings to you back from Boulder

  • @sajanthapa8962
    @sajanthapa8962 6 лет назад +1

    One of the best explanation :) .. Thank you Dr. Knutsen :)

  • @prattyushroy9051
    @prattyushroy9051 6 лет назад +1

    Thank you so much for uploading this. It really helped!

  • @prafulborker1015
    @prafulborker1015 5 лет назад

    Superbbbb lecture....Simple and Admirable

  • @microsofttupapa
    @microsofttupapa 7 лет назад +2

    Excellent explanation. Very good job!

  • @OpelsiSq
    @OpelsiSq 5 лет назад +1

    Now i understand EVERYTHING!

  • @TonyRios
    @TonyRios 7 лет назад +25

    THANK YOU FRIEND

    • @jocirlei
      @jocirlei 7 лет назад

      Tony Rios Hi Tony!!! Do you are Chemical Engineering student too??

  • @sudeepjana6564
    @sudeepjana6564 5 лет назад

    Admirable explanation!

  • @AndrewPa
    @AndrewPa 6 лет назад

    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.

  • @akashmitra2602
    @akashmitra2602 6 лет назад +2

    god level explanation..thanks a lot

  • @ronaktiwari7041
    @ronaktiwari7041 6 лет назад +1

    great content !
    just the kind of explanation I needed!
    thank you so so much !

  • @turbulent_glider
    @turbulent_glider 6 лет назад +1

    Respect, sir. Thank you very much for this insightful explanation!
    Liked and subscribed !

  • @slim590
    @slim590 Год назад

    why do we need the chain rule at 2:20

    • @LearnChemE
      @LearnChemE  Год назад

      Great question. You use the chain rule because u is a function of more that just time: also x, y, and z.

  • @rajatverma454
    @rajatverma454 4 года назад

    thanks...very easy to understand

  • @garymathis9684
    @garymathis9684 5 лет назад

    What are the NS equations for a relativistic fluid?

  • @RodericKMFA
    @RodericKMFA 7 лет назад

    Very good explanation. Thank you, ser!

  • @davids7861
    @davids7861 6 лет назад

    Very clear explanation. Thank you.

  • @konstapelwalander
    @konstapelwalander 5 лет назад +1

    Very clear! Thank you!

  • @mithulanjeyakumar9766
    @mithulanjeyakumar9766 5 лет назад

    Nice explanation

  • @mubashirshamsi84
    @mubashirshamsi84 7 лет назад

    You explained it very well. Please also explain the relation between Reynolds equation and NS. Thanks.

    • @AndrewPa
      @AndrewPa 7 лет назад

      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..

  • @darveshpreet
    @darveshpreet 5 лет назад

    Kindly share the details of the software that you are using for making the video

  • @madhureshkumar6136
    @madhureshkumar6136 6 лет назад

    a osm explanation of derrivation.perfect.
    thank you sir for uploading this lecture.

  • @jocirlei
    @jocirlei 7 лет назад +2

    Tks...my test about it is tomorrow!!!

  • @vasuchaudhary7635
    @vasuchaudhary7635 6 лет назад

    SIR, I HAVE A DT why the X momentum equation consist the velocity of y and z directions also

  • @VijayrajKalachilvam
    @VijayrajKalachilvam 7 лет назад +1

    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.

    • @aliayeesha
      @aliayeesha 6 лет назад

      you can use fluent its a part of anysys

  • @pouyakoohsoltani420
    @pouyakoohsoltani420 5 лет назад

    Great Video, Thanks

  • @thiruvalluvar3880
    @thiruvalluvar3880 6 лет назад

    Thank you so much, sir! God Bless you

  • @somebuddy
    @somebuddy 7 лет назад

    perfect explanation

  •  7 лет назад +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.

    • @Ottmar555
      @Ottmar555 5 лет назад

      @@sonsoftheconfederacy2940 k

  • @sidoo4441
    @sidoo4441 7 лет назад

    That's really amazing, Thanks a lot.

  • @bashamsk1288
    @bashamsk1288 6 лет назад

    why do we take normal stresses?

  • @robertmiller5258
    @robertmiller5258 3 года назад

    Has anyone thought of including terms for a fourth physical dimension?

  • @miguelaphan58
    @miguelaphan58 6 лет назад

    what is the name of this professor, a real master on the subjec....wao..!!!!!

  • @deeppanchal8324
    @deeppanchal8324 5 лет назад +1

    Nailed it!

  • @evandrogaio7003
    @evandrogaio7003 6 лет назад

    Excelente explanation. Thx a lot

  • @KrayolaGray
    @KrayolaGray 6 лет назад

    Very helpful, thank you!

  • @seaned7525
    @seaned7525 2 года назад

    I don't ever recall having to orient fluid models to represent how gravity would effect it before running flow equations.

  • @rubixpuzzlechamp
    @rubixpuzzlechamp 5 лет назад +2

    3:40 GOTEEEEEM

  • @taboada84
    @taboada84 4 года назад

    Wow amazing

  • @muneer332
    @muneer332 5 лет назад

    superb

  • @elephantwalkersmith1533
    @elephantwalkersmith1533 5 лет назад

    This is only the momentum balance, the energy and mass balance equations have been left out.

    • @kent5915
      @kent5915 4 года назад

      energy balance assumes elastic collisions see paper "Illusions of elastic collisions..." google "ejers" click on archives and its in Jan 2020

  • @oscarrinn
    @oscarrinn 5 лет назад

    the sum of the forces is equal to the mass * acceleration. got it.

  • @AndrewPa
    @AndrewPa 7 лет назад +2

    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

    • @MrAmgadHasan
      @MrAmgadHasan 5 лет назад

      Can you recommend some good videos explaining cfd?

  • @UnPureMaddness
    @UnPureMaddness 3 года назад

    amazing

  • @rdy2pon3
    @rdy2pon3 6 лет назад +1

    i owe you my lyf

  • @LuisRivera-jk8jc
    @LuisRivera-jk8jc 5 лет назад

    Perfect

  • @youssufalhaw2055
    @youssufalhaw2055 3 года назад

    love U buddy
    thanx

  • @mikiiinakamura4990
    @mikiiinakamura4990 2 года назад

    better than my lect

  • @wedfrest
    @wedfrest 7 лет назад +2

    Spicy

  • @boliu1274
    @boliu1274 3 года назад

    I'll do these derivations personally

  • @livealittle1100
    @livealittle1100 6 лет назад +10

    Who came here after watching gifted?

    • @Dan-bg5fm
      @Dan-bg5fm 6 лет назад +8

      I'm here because I have an exam in 3 hours

    • @livealittle1100
      @livealittle1100 6 лет назад +1

      @@Dan-bg5fm all the best bruvv 🌹😅

  • @rakesh_velpur
    @rakesh_velpur 5 лет назад

    This is not the exact derivation of the Navier stokes equation

  • @elvaridarsson5968
    @elvaridarsson5968 5 лет назад

    You sound like Jeffrey Dahmer, but happier

  • @aryatalab1097
    @aryatalab1097 Год назад

    U can’t sum iron by wood 🥂🥂🥂😂😂👑👑👑👑👑👑👑

  • @aryatalab1097
    @aryatalab1097 Год назад

    All is wrong 🥂🥂🥂😂😂😂