[CFD] Conservative, Advective & Material Derivative forms of the Navier-Stokes Equations

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  • čas přidán 5. 09. 2024

Komentáře • 42

  • @swap_pat29
    @swap_pat29 Před 5 měsíci +9

    The best explanation of material derrivative so far

  • @TahsinEngin-Akademi
    @TahsinEngin-Akademi Před 6 měsíci +7

    Excellent explanation of Material Derivative and conservative & non-conservative forms of transport equations. You are doing a great job.
    Please make a video on using of tensor notation in Fluid Dynamics.

  • @abrahakahsay
    @abrahakahsay Před 5 měsíci +3

    Dr. Aidan, when I want to understand some CFD concepts, you are the first to come to mind. Thanks for making it easy.

  • @josemonteiro5988
    @josemonteiro5988 Před 6 měsíci +4

    As someone recently graduated i want to thank you for your videos because help me a lot during the making of my thesis!!

  • @haj7ou
    @haj7ou Před měsícem +1

    after many documents and videos, simply the best.

  • @pierrefpv
    @pierrefpv Před měsícem +1

    You explain all these concept so well, thank you!

  • @kevint1160
    @kevint1160 Před 5 měsíci +2

    Dr. Adian. I would like to apologize first but where were you when i was doing my thesis 8 years ago. Great job. You rekindle my passion for Fluid Dynamics.

  • @lih3391
    @lih3391 Před 6 měsíci +3

    Best explanation I've seen so far as a high school student. Thank you!

  • @abdofast5
    @abdofast5 Před 5 měsíci +1

    Absolutely amazing explanation!! This is the first time i really understand this subject throughly. Please, keep sharing more knowledge you have got all my support. Bravo ❤

  • @hungnguyenthanh8833
    @hungnguyenthanh8833 Před 6 měsíci

    I always look forward to your lessons that appearing everyday. Hope to see you more 😀😀😀

  • @malothrajkumar541
    @malothrajkumar541 Před 5 měsíci

    Hi Dr. Adian,
    Thank you very much for your high quality educational videos on CFD, you’re one of my favourites!! and you inspired me in many ways.
    A small typo correction on one of the slide at 29:02. “ Remember to start with the *Conservative* form instead it is written Convective.
    Thank you again, I have taken all of your courses on Udemy as well❤.

  • @sergniko
    @sergniko Před 5 měsíci +2

    This was a useful talk

  • @makavelilcf
    @makavelilcf Před 6 měsíci +1

    Great lecture Aidan! a small correction: conservative or divergent form is a form of N-S equation allowing to apply integral conservation laws using Gauss-Green theorem for example. It doesn't concern time term since that's a pure volumetric term, density comes inside just due to the introduction of the continuity equation into the advective form of N-S.

  • @TheGamingHungary
    @TheGamingHungary Před 5 měsíci +1

    Excellent video, thank you Aiden!

  • @anderssonbenitoherrera4026
    @anderssonbenitoherrera4026 Před 3 měsíci

    (The best explanation of material derrivative so far)^n

  • @Rafael-es3go
    @Rafael-es3go Před 6 měsíci +1

    This is very well explained, your videos are amazing, thanks!!

  • @alisadeghi4698
    @alisadeghi4698 Před 5 měsíci +1

    Crystal Clear, Thanks!

  • @56rockit
    @56rockit Před 6 měsíci +2

    Sorry, @3:19 the explanation and the diagram is not quite correct: the faster we move the mesurement point from left to richt the diagram implies that the temp will rise. This is not the case. When moved faster the end tempererature will be reached earlier i.e. the rate of temp change will be steeper.

  • @nourtarek9984
    @nourtarek9984 Před 4 měsíci +1

    Hello Aidan, I've purchased your courses on Udemy and wanted to know if they are any different than the ones on your website .. Thank you for your great content you inspire me ^^

    • @fluidmechanics101
      @fluidmechanics101  Před 4 měsíci

      They are exactly the same 👍 I have them on my website and on udemy because sometimes people have problems with payment processors

  • @mohammaderfankarami1744
    @mohammaderfankarami1744 Před 5 měsíci

    Hi dear, Thank you for your useful data. I really appreciate you. In the following, can I ask you to share some videos about spars matrix? and how does fluent solve spars matrix?

  • @user-dj8vo9df3g
    @user-dj8vo9df3g Před 5 měsíci

    Hi. I have an issue. I practically use CFD during my study, but because i use codes mostly written by other people i don't quite undertand all the details of methods implemented there. Don't have hierarchy of existing methods i CFD neither. For example i know there are FVM, FDM and FEM. Are there any other methods what are their MAIN features, advantages/disadvantages. What the difference betwen pressure/density based solvers. Next, as i work with code based on FVM i know some basic info about its methods and features i know such words as tvd an weno (i don't quite understand is that features of specific schemes or their "families"). Also there are different approaches to obtain convective fluxes such as flux/vector splitting shemes (f.e. roe, hll family riemann solvers, ausm family solvers, are there essential alternatives). Reconstruction methods for solvers such as MUSCL (are there any other, can it be used not only in tvd?). Such a big zoo of methods an approaches just to solve euler equations. And i don't feel i have understanding of the relations between them. I mean something like table or tree of hierarchy with short commentaries near its' components. I undertand there are your videos that touch some of these questions but they are specific to some particular problem. It would be just great if there were lecture on basic information about "everything that currently exists in CFD" just to build foundation for everything else.
    p.s. Sorry if I ask some childish questions. But when one start working practicaly and didn't have proper learning before it is so hard to figure everything out without good teacher.

  • @hcphysicist3921
    @hcphysicist3921 Před 5 měsíci +1

    For meshing for thesis which should i learn icem or ansa??

    • @fluidmechanics101
      @fluidmechanics101  Před 5 měsíci

      Whichever one your school/university/institution has access to 😃 if you have both, it will depend on what problem you are trying to solve. They are both better at different things
      (Personally I prefer ANSA)

  • @rza_ramezanii
    @rza_ramezanii Před 5 měsíci

    Dear Aiden,
    I sincerely appreciate your invaluable materials and your knack for simplifying complex concepts. As I endeavor to develop online courses focused on Python and its applications in mechanical engineering, I'm eager to learn about the tools you utilized for course creation. Could you kindly share the video editing software you employed? Additionally, which software did you use for crafting engaging figures and slides? Lastly, I'm curious if your website was built using WordPress.
    Thank you for your guidance.
    Warm regards,
    Reza

    • @fluidmechanics101
      @fluidmechanics101  Před 5 měsíci +2

      Figures: inkscape
      Slides: Beamer latex
      Video editing: shotcut
      All free software

    • @rza_ramezanii
      @rza_ramezanii Před 5 měsíci +1

      @@fluidmechanics101 Thank you immensely. Your guidance will be remembered and cherished as I continue on my journey.

  • @abdelkaderalkelanee1187
    @abdelkaderalkelanee1187 Před 6 měsíci +1

    Thanks a lot

  • @kuijaye
    @kuijaye Před 5 měsíci +1

    But why is the last form called the conservative form?

    • @fluidmechanics101
      @fluidmechanics101  Před 5 měsíci

      Essentially, the mass flux is calculated and stored on the cell face. So that way you can guarantee that the 'mass flow rate * the quantity' leaving one cell is equal and opposite the amount entering the neighbouring cell. None of the quantity is 'lost' numerically, so we say that it is 'conservative'

    • @fluidmechanics101
      @fluidmechanics101  Před 5 měsíci +1

      There is a good explanation in 'Notes on Computational Fluid Dynamics General Principles' with a good diagram to show this numerically

  • @sameerverma6949
    @sameerverma6949 Před 6 měsíci

    Sir can you please make video on Eulerian wall film model of ansys fluent..

  • @danielodeliro2412
    @danielodeliro2412 Před 6 měsíci

    Thank u sir
    I have a question but its not related to your lecture
    Can you please explain concept of
    Static pressure
    Dynamic pressure
    Total pressure
    Mechanical pressure
    Thermodynamic pressure
    Stagnation pressure
    Mean pressure
    Average pressure
    And which one of pressure is in NS equation?

    • @josemonteiro5988
      @josemonteiro5988 Před 6 měsíci

      if i am not mistaken NS use static pressure, even if the input in the inlet is total pressure.

    • @fluidmechanics101
      @fluidmechanics101  Před 6 měsíci +2

      I would check out a general fluid dynamics textbook. You should be able to find the differences in there.

  • @danielodeliro2412
    @danielodeliro2412 Před 6 měsíci

    .

  • @nicoskal85
    @nicoskal85 Před 6 měsíci +2

    ⅆT/ⅆt=u ⋅(∇T) would you consider this form to be correct as well? Would you rather show that the whole dot product operates upon T? The idea behind the pool explanation is just brilliant - thank you for that!

    • @fluidmechanics101
      @fluidmechanics101  Před 6 měsíci +1

      Yes, this form is fine as well. As long as nabla dot U = 0, then they are equivalent.
      You only really need to care about the difference when you have a numerical method, because nabla dot U only equals zero at convergence. So before convergence, you might need to account for the difference between the two forms.