Fluid Mechanics: Topic 6.2 - Reynolds transport theorem

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  • เผยแพร่เมื่อ 1 ธ.ค. 2024

ความคิดเห็น • 90

  • @aliibrahimshabrawy6745
    @aliibrahimshabrawy6745 8 ปีที่แล้ว +8

    I wonder why B1(t) = B11(t) = 0
    you say that it doesn't exist yet but how can this be possible isn't region 1 and 11 have fluid so where there is a fluid there must be a property for it
    this is how i think if there is something wrong i want to know what is right?

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  8 ปีที่แล้ว +12

      Initially the system and control volume coincide at time t. Regions I and II have zero volume at this time, so they do not have mass (or any other extensive property) yet.

    • @srimanvallakatla6030
      @srimanvallakatla6030 8 ปีที่แล้ว

      at time t B1 is not equal to 0 i think sooo

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  8 ปีที่แล้ว +7

      The volume occupied by region 1 is zero at time t. If there is no volume, all extensive properties are zero within the region.

    • @pro.navalarchitect
      @pro.navalarchitect 7 ปีที่แล้ว

      How is volume occupied by region 1 is zero at time t ??

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  7 ปีที่แล้ว +7

      If you look at the image at time t, there is no B1. B1 is the region in which new fluid flows into the CV. So some time needs to pass (for example, time dt) in order for new fluid to enter the CV.

  • @j.gordonleishman6401
    @j.gordonleishman6401 ปีที่แล้ว +3

    Very nice explanation. A little robotic narration in places, but one of the best explanations of the RTT I have seen in 30 years. Well done!

  • @waleedkhan8590
    @waleedkhan8590 4 ปีที่แล้ว +9

    This has to be the best explanation of RTT ! And that too in a little more than 15 minutes. Amazing. Thank you!

  • @Driftking009
    @Driftking009 4 ปีที่แล้ว +6

    You saved the value of my degree man, thanks!

  • @adriangonzalezsuaret9368
    @adriangonzalezsuaret9368 8 ปีที่แล้ว +6

    You are the best, I learn a lot with you. Thanks!!!

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  8 ปีที่แล้ว +4

      More videos are development. You will be able to learn a lot more soon. :)

  • @DP-sq7lw
    @DP-sq7lw 5 ปีที่แล้ว +2

    What a beautiful video!! I love it! Beautiful theorem with a great explainer!

  • @ozzyfromspace
    @ozzyfromspace 5 ปีที่แล้ว +3

    That was a brilliant video! So well explained!

  • @furquanmohammed3086
    @furquanmohammed3086 4 ปีที่แล้ว +2

    Sir, At 10:38 while deriving the value of B' in should there be a negative sign since after taking after the dot product the whole value would be negative anyways, and initially when we said B'(out)-B'(in) are we not just considering their magnitudes only. and its exactly same as B'(out)+B'(in) when considered them as vectors.
    the result does not change anyways

  • @shailendrarana4073
    @shailendrarana4073 3 ปีที่แล้ว +2

    Beautifully explained !

  • @fourier07able
    @fourier07able 7 ปีที่แล้ว +2

    BTW, mass ``m'' is not a property neither ``extensive'' nor ``intensive'' since it is the connection: B=mb, where ``B'' is extensive and ``b'' is intensive properties. For example, pressure and temperature are not neither intensive nor extensive, although they are properties of any (thermodynamical) system. On the contrary, the specific volume v=V/m is an intensive property of the system (open or closed!).

  • @ahmadahere3679
    @ahmadahere3679 7 ปีที่แล้ว +5

    These videos are spectacular. They are helping me refresh and prepare for courses in my graduate program. Is it possible to get ahold of the slideshow material? I can't find any lecture slides of this calibur on this topic.

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  7 ปีที่แล้ว +2

      At the moment, the slides are provided to students enrolled in certain sections of ME 311 at Cal Poly Pomona. We do not know whether the slides will be available to the general public in the future though. However, the videos will remain on TH-cam for the foreseeable future.

    • @trololollolololololl
      @trololollolololololl 5 ปีที่แล้ว

      Grad program? We got it in undergrad first sem of second year :/

  • @siddharthprakash8942
    @siddharthprakash8942 7 ปีที่แล้ว +1

    Brilliant video. Gave me a very clear picture. Thanks a lot

  • @alejandroarias473
    @alejandroarias473 5 ปีที่แล้ว +2

    Are there any videos of concepts and derivations but for thermodynamics?

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  5 ปีที่แล้ว

      We have thermodynamics videos at www.cpp.edu/meonline

    • @alejandroarias473
      @alejandroarias473 5 ปีที่แล้ว

      @@CPPMechEngTutorials Thank you very much

  • @LucyLee._.6
    @LucyLee._.6 2 หลายเดือนก่อน

    When we consider an oblique cylinder of fluid flows from dA during dt at 9:55, I wonder what actually is d∀? Why does d∀ = dA.dLn but not dA.dL? Why do we need to consider the distance that is parallel with n-unit vector?

  • @이삭토스트먹고싶-v2q
    @이삭토스트먹고싶-v2q หลายเดือนก่อน

    It's a Great lecture. Thanks

  • @anjumshahzad78
    @anjumshahzad78 5 ปีที่แล้ว +1

    great explanation

  • @prabhakartripathi4474
    @prabhakartripathi4474 4 ปีที่แล้ว

    While factoring out mass, you have written m=m(1), why you considered (1) as intensive property? Please do explain.

  • @arijitsaha1472
    @arijitsaha1472 5 ปีที่แล้ว

    Clean explanation leads to a better understanding and that happened with me. Thanks for sharing the information.
    But I have a doubt and that is why are you considering dB=b*rho*dA*dLn whereas the dV considered is in the direction of V vector?

  • @mrunaldharbathula9872
    @mrunaldharbathula9872 6 ปีที่แล้ว +1

    excellent work...….keep going

  • @drelina1938
    @drelina1938 3 ปีที่แล้ว +1

    Thanks very well ! Good Exceptional

  • @mohammadabedy2478
    @mohammadabedy2478 4 ปีที่แล้ว +1

    perfect teaching , thanks for video

  • @surryyaanjum8275
    @surryyaanjum8275 10 หลายเดือนก่อน

    Good explanation ❤

  • @robertoneto6984
    @robertoneto6984 2 ปีที่แล้ว

    What an awesome video!
    Quick question. You said that the inflow region of the CS is AFC and the outflow region is ADC, but AFC and ADC are 2d curves and not 3d surfaces. Shouldn't the inflow and outflow regions be 3D surfaces, since they contain a volume (and not an area)?

  • @martinjosealvarez
    @martinjosealvarez 4 ปีที่แล้ว

    Thanks from Mexico

  • @DipayanPyne
    @DipayanPyne 5 ปีที่แล้ว

    The momentum of a system is conserved only when there is no net external force on it. The same is true for energy w.r.t a given system. So then dont you think the laws should not really be named as 'conservation' laws ? I mean I do understand the idea behind these laws, but the term conservation sounds a bit misleading, isn't it ?
    For eg: If the property under consideration is the mass of the system, we know that it doesnt change over time, coz the amount of matter in the system is fixed, as the system has been 'identified'. So the term on the LHS of the RTT drops to zero and we then rightfully say that the mass is 'conserved'. But the same is not always true for momentum or enery of a system, as they often change, given a net external force or an energy transfer.
    What do you think ?

  • @mymathmates4409
    @mymathmates4409 5 ปีที่แล้ว

    Very good defined..go on..

  • @nidalal-sayed4019
    @nidalal-sayed4019 3 ปีที่แล้ว

    Plzzz help me:
    I am trying to remember a theorem that study the movement of water particles.
    This theorem compasses two parts one is real and the another is imaginary part.
    If you know plz reply by the name of theorem or if you have a video share here as a link because I am tired from searching a video about this

  • @nabadas8085
    @nabadas8085 3 ปีที่แล้ว

    nice explanation,Thanks a lot

  • @hoelzz
    @hoelzz 19 ชั่วโมงที่ผ่านมา

    Thank you!!

  • @siavosheskandary2866
    @siavosheskandary2866 6 ปีที่แล้ว +1

    thank you it was very helpful

  • @atakan716
    @atakan716 7 ปีที่แล้ว +1

    Awesome indeed!

  • @tabishkhan3094
    @tabishkhan3094 5 ปีที่แล้ว

    Can we get these notes written somewhr

  • @bacharobeid7430
    @bacharobeid7430 4 ปีที่แล้ว +1

    perfect

  • @belisariogonzalez7793
    @belisariogonzalez7793 8 ปีที่แล้ว

    When will Biddle's ME415 lectures be posted?

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  8 ปีที่แล้ว

      +Belisario Gonzalez Probably by F2016. They are still in post-production.

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  8 ปีที่แล้ว

      Update -- The ME 415 videos likely will be available by early W2017.

  • @muhammadmehran7173
    @muhammadmehran7173 3 ปีที่แล้ว

    sir can u send this slides

  • @saimsiddiqui1544
    @saimsiddiqui1544 3 ปีที่แล้ว

    Very good

  • @mohibahmadsiddiqui659
    @mohibahmadsiddiqui659 8 ปีที่แล้ว +1

    Amazing.

  • @viclopez5363
    @viclopez5363 6 ปีที่แล้ว +1

    Excelente!

  • @paulboughosn6174
    @paulboughosn6174 4 ปีที่แล้ว

    thank you !

  • @aliallaou4415
    @aliallaou4415 6 ปีที่แล้ว

    Thank you very much

  • @raymond-andrade
    @raymond-andrade 5 ปีที่แล้ว

    Thanks, this helps

  • @joyaljoshi5073
    @joyaljoshi5073 3 ปีที่แล้ว

    Why is at time t, B1(t)=0

  • @Inamullahkhan6294
    @Inamullahkhan6294 8 ปีที่แล้ว

    Excellent

  • @ANKITKUMARchb-gn7xc
    @ANKITKUMARchb-gn7xc 7 ปีที่แล้ว

    nice video

  • @amandadube156
    @amandadube156 7 ปีที่แล้ว

    Thanks!!

  • @allandavis6116
    @allandavis6116 3 ปีที่แล้ว

    I think the eq. at 4:43 should read Bcv = Bi + (Bsys-Bii) which you rearrange to Bsys = Bcv - Bi + Bii

  • @usernumbereighteen
    @usernumbereighteen 4 ปีที่แล้ว

    why did I choose engineering

  • @timnguyen1329
    @timnguyen1329 7 ปีที่แล้ว

    4:20 , I confuse that what region is for Bcv(t+dt) , thanks!

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  7 ปีที่แล้ว +1

      The CV is fixed, so Bcv(t+dt) is the amount of B (mass, momentum, or energy) within the red dashed line at time t+dt. This can be different that the amount of B in the CV at time t. For example, let's say B is mass and imagine a denser fluid enters the CV in region I during time dt. In this case, Bcv(t+dt) > Bcv(t).

  • @ranajitmajumdar7836
    @ranajitmajumdar7836 6 ปีที่แล้ว

    nice 1

  • @sourabhyadav2363
    @sourabhyadav2363 9 หลายเดือนก่อน

    India se h koi

  • @acruzp
    @acruzp 6 ปีที่แล้ว

    I don't concur with my peers, I think this is a lousy explanation: It would be much better if you started out by giving an intuition of what the theorem attempts to solve, a general picture if you will. Then, if your objective is to impart a working, operational understanding of the subject, you can progress in the way you did. I would, though, prefer if, at every point, you stopped and explained where you're heading and why.

    • @CPPMechEngTutorials
      @CPPMechEngTutorials  6 ปีที่แล้ว

      Follow-up videos show the application of the theorem to derive conservation laws for control volumes.