Navier-Stokes equation: a derivation with the detailed understandings on viscous stress tensor

แชร์
ฝัง
  • เผยแพร่เมื่อ 12 ธ.ค. 2024

ความคิดเห็น • 15

  • @ScienceofFluids
    @ScienceofFluids  3 ปีที่แล้ว +6

    Thanks to all joined me in the premiere. I hope you liked the talk, and it is useful to you in understanding fluid dynamics.

    • @morgandrysdale
      @morgandrysdale 2 ปีที่แล้ว

      Thank you so much! This was a fantastic explanation, I appreciate that you were so thorough, and the music was nice too! :)

  • @Furens9
    @Furens9 3 ปีที่แล้ว +3

    Thank you so much for this upload!

  • @hesokaheso855
    @hesokaheso855 หลายเดือนก่อน

    hi, thank you for your video. can you please explain why at 31:04 we get the factor of 1/3 in front of the kinematic viscosity? it's not there in the equation above it. Thank you.

  • @fabioasaro4016
    @fabioasaro4016 ปีที่แล้ว +1

    Thank you very much, you helped me a lot with this video.
    Can you make a short comment from where the factor 1/3 in the last term stems from? (firstly seen at 30:55)

    • @martinvozar-314
      @martinvozar-314 11 หลายเดือนก่อน

      10:43 in the video in the compressibility part of the Stokes's matrix. Might have something to do with the -2/3 factor. My hunch is that is a simmilar assumption as seen with common derivations of pressure, regarding there are 3 directions (x,y,z), of which 1 does not leave the plane.

  • @godunovcir5458
    @godunovcir5458 3 ปีที่แล้ว +5

    Awesome video! Could you please share some recommendations for textbooks and papers about geophysical flow and coastal flow?

    • @ziyansheng4919
      @ziyansheng4919 3 ปีที่แล้ว +2

      agreed, seconded!

    • @ScienceofFluids
      @ScienceofFluids  3 ปีที่แล้ว

      thank you, but I don't have experience in geophysical and coastal flows.

  • @ScienceofFluids
    @ScienceofFluids  หลายเดือนก่อน

    Thanks for your interest. It is an assumption as the norm as ns equation. No particular reason for that.

  • @yusufcansiz9279
    @yusufcansiz9279 3 ปีที่แล้ว +2

    Thank you verymuch for sharing your knowledge. But the music distracted me, I am learning and at the same time I am dancing :D

    • @ScienceofFluids
      @ScienceofFluids  3 ปีที่แล้ว

      Thank you for your support. I will be more careful in choosing the background music, and I will lower the music so hopefully it is not disturbing.

  • @KaiserGaming800
    @KaiserGaming800 3 ปีที่แล้ว +3

    thank you very interesting

  • @sapicode
    @sapicode ปีที่แล้ว +1

    In which book can I find these equations derived? Talking about minute 10:57?

    • @ScienceofFluids
      @ScienceofFluids  ปีที่แล้ว +1

      I think in many books on fluid mechanics you can find the derivations. the books I would recommend are John Anderson's 'fundamentals of Aerodynamics', or Frank White's 'fluid mechanics'.