Demystifying the Navier Stokes Equations: From Vector Fields to Chemical Reactions

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Welcome to a video all about the Navier-Stokes Equations, one of the most renowned mathematical equations that govern the dynamic motion of fluids. Join me as we embark on an enlightening journey, unravelling the essence of Navier-Stokes Equations, and showcasing captivating real-world applications and solution examples that will ignite your curiosity whether it be in Chemical Engineering, Nuclear Fusion or Computational Fluid Dynamics! Whether you're enthused by chemistry, technology, or simply eager to expand your knowledge, this video will hopefully give you some fascinating thoughts and insights. Please like, subscribe and share the video if you enjoyed it!
Video contents:
0:00 - A contextual journey!
1:25 - What are the Navier Stokes Equations?
3:36 - A closer look...
4:34 - Technological examples
6:11 - The essence of CFD
7:17 - The issue of turbulence
8:07 - Closing comments
Music by Vincent Rubinetti
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Video content mention: Canva (icons), Pexels (videos/images), Wikipedia (commons.wikimedia.org/wiki/Fi..., commons.wikimedia.org/wiki/Fi...)

Опубликовано:

18 июн 2024

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Комментарии : 72

@andieeidnaandieeidna 11 месяцев назад

Great visualization and explanation! One thing to suggest as others have mentioned is to lower the audio of the background music. Otherwise, this is an excellent video and I hope you make more!

@ChemEfy 10 месяцев назад

Thank you for the feedback :).

@curtpiazza1688 22 дня назад

Interesting presentation! 😊

@ChemEfy 22 дня назад

Thank you :)! Glad you enjoyed it!

@Helmutandmoshe 11 месяцев назад

You might want to re-mix the sound on this video and set the music lower. It's hard to hear what you are saying in several places because of the music being too loud.

@tacoexpressSEEDEEholeeveryones 11 месяцев назад

Would you consider leaving on a red cloth regular table lamp in the bedroom and a tubular vintage oval bulb desk lamp in the office, and seeing which type of bulb burns out first after a while, "doing an experiment" ?

@MathPhysicsEngineering 10 месяцев назад

I got the same response for my videos :) :) :)

@tacoexpressSEEDEEholeeveryones 10 месяцев назад

@@MathPhysicsEngineering Would you consider leaving on a red cloth regular table lamp in the bedroom and a tubular vintage oval bulb desk lamp in the office, and seeing which type of bulb burns out first after a while, "doing an experiment" ?

@ChemEfy 10 месяцев назад

Thank you for the feedback :) - noted, I will ensure this is balanced better for future videos. Didn't think it was too bad when posting, but on re-listening the background music could definitely do with toning down slightly in places.

@tylerbakeman 8 месяцев назад

I’m using my iphone speakers (not headphones or external speakers). It wasn’t an issue for me personally.

@jokebird6479 11 месяцев назад

When people say underrated they normally mean they like your content but this is very very underrated, I hope that you will soon get the attention you deserve

@ChemEfy 10 месяцев назад

Thank you :)!! More videos coming soon!

@Doctor_Drew 11 месяцев назад

Excellent video! Chemical engineering PhD student here.

@ChemEfy 11 месяцев назад

Thank you :) !! Hope the PhD is going well - I see you're doing it in photochemical nitrate processes from your vid? Sounds very fascinating!

@javiercorreapr9977 11 месяцев назад

Retired PE in Chemical Engineering with career focused now on fishing…always found these fascinating

@tacoexpressSEEDEEholeeveryones 10 месяцев назад

You leave on 2 table lamps with 2 different kind of bulbs. You wait to see which type of bulb burns out first after a while and how long it takes for each one. Would you consider this example to be a scientific experiment ?

@tacoexpressSEEDEEholeeveryones 10 месяцев назад

@@javiercorreapr9977You leave on 2 table lamps with 2 different kind of bulbs. You wait to see which type of bulb burns out first after a while and how long it takes for each one. Would you consider this example to be a scientific experiment ?

@javiercorreapr9977 10 месяцев назад

@@tacoexpressSEEDEEholeeveryones Hi. Sounds like reliability engineering testing but maybe not. Regards

@globulidoktor1733 11 месяцев назад

Thank you for those amazing visualizations!

@ChemEfy 10 месяцев назад

Glad you like them! :)

@The_Flying_Mechanic 4 месяца назад

One of the best video's on the topic! It's a shame it hasn't been seen more but this easily has a million views in its future!

@ChemEfy 4 месяца назад

Thank you :)!! Glad you enjoyed the video!

@engineers_hub 11 месяцев назад

Thanks for clearing the confusion

@ChemEfy 11 месяцев назад

No problem, I'm happy the video has helped! :)

@johnroot8215 11 месяцев назад

Great information:noisy, loud music makes what is said hard to hear.

@ChemEfy 11 месяцев назад

I'm glad you found the video informative! Big thank you for your feedback, will defo bear this in mind going forward :).

@DanielL143 10 месяцев назад

Awesome and amazing. Great overview. Thanks. (I'm a subscriber now)

@ChemEfy 10 месяцев назад

I'm very happy you found it useful, and thank you for subscribing - more videos coming soon!

@inciaradible7144 10 месяцев назад

First, I think it's quite admirable of wanting to explain something as complicated as Navier-Stokes to the layman. However, I do think you do skip over important groundwork that prevent people from truly grasping what these equations say; yes, in essence, Navier-Stokes are just Newton's laws applied to fluids, but why certain terms are analogous is not at all obvious and requires one to understand what those operators really mean. You are already working with some pretty neat visualisations; perhaps build more on that and use it to explain what those expressions mean; nobody needs to understand how to calculate the divergence, curl, etc. in order to understand what ∇u represents. Finally, in order to talk about discrete solutions, I think it's important to lay down what differential equations are and how you'd go about solving them numerically; I don't think it's needed to talk about Eulerian (i.e. grid-based) solutions in order to show how we can still use Navier-Stokes despite having no exact solutions.

@ChemEfy 10 месяцев назад

Thank you for your comment and feedback, both positive and negative. It was definitely a balancing act re. the content as to what to include and what not to include. Indeed some loose jumps on pre-requisite knowledge for full mathematical understanding are made for sake of keeping the video within a manageable length especially given the limited evening time after work to make them. The examples you give are very pertinent + clear so thank you for this 😊 - there is certainly a strong argument to be made for including what you mention. Just to mention my perspective when making, for me the link between operators and Navier Stokes was never easily explicit, with vorticity (via curl), and divergence (via flux/continuity equation) not having an explicit physically intuitive link into the final form of the simplified momentum balance. Perhaps I could’ve weaved this in though instead of leaving for another video. The grid-based approach was mentioned to link to a more typical solution method employed in CFD/intuitively demonstrate how a velocity profile can be built up in 2D/3D. I will definitely bear your suggestions in mind going forward though - thank you once again😊.

@jamilusalisu3293 11 месяцев назад

excellent, kindly tell me which software you use for your virtualization

@jawad9757 11 месяцев назад

Prolly manim

@ChemEfy 10 месяцев назад

So it depends on what it is that's being animated but I use a mixture of different softwares - manim, powerpoint etc. Hope this helps :)

@ianthehunter3532 11 месяцев назад

What do you use for edit?

@ChemEfy 10 месяцев назад

I use Shotcut to edit at the moment :).

@ianthehunter3532 10 месяцев назад

@@ChemEfy You think it could be done with PowerPoint?

@ChemEfy 10 месяцев назад

@@ianthehunter3532 Hmm, I can't say I'm very familiar with Powerpoint's video editor so I think someone else could probably give you a better answer. Based on my experiences, which admittedly could be a lot broader, I think some of it could be edited on powerpoint - depends what you're trying to make. If in doubt, visualize what you're trying to make and give it a try would be my take :).

@iamnotalive9920 10 месяцев назад

the music is very loud, please turn it off or quieter in the next vids. Besides that, it's a very clear explanation thanks

@ChemEfy 10 месяцев назад

Thank you, and yes I'll lower the music volume for future vids :).

@mastfamastfa1256 11 месяцев назад

lower the music it's hard to hear your voice

@ChemEfy 10 месяцев назад

Thanks for the feedback, I've responded to similar comments on this front. Will ensure balancing issues are not an issue for future videos :).

@jostpuur 2 месяца назад

From where do you get the time derivative of the pressure? The time derivative of the pressure doesn't appear in Navier-Stokes equations.

@ChemEfy 2 месяца назад

You're absolutely right - there isn't a time derivative of pressure in Navier Stokes, and I don't believe there is one in the video either.

@jostpuur 2 месяца назад

From where do you get the values of the pressure for different time values, when we don't have the time derivative?

@ChemEfy 2 месяца назад

@@jostpuur In a number of contexts typically the pressure field is something you measure with pressure sensors or predict/forecast. In other situations the pressure field is computed along with the velocity field too.

@rterminatu 11 месяцев назад

I have solutions to all of the millennium prize problems I'm just waiting for them to raise the price

@empireempire3545 11 месяцев назад

:D :D :D

@ChemEfy 10 месяцев назад

Sounds like you're sitting on a jackpot! :)

@TheGeckoIsKing 11 месяцев назад

Kinda thought that thumbnail was a block from Minecraft

@ChemEfy 10 месяцев назад

@averagegamer9513 11 месяцев назад

You might want to consider re-uploading the video with balanced audio. It has good quality, but as others have already pointed out, it’s unfortunately hard to hear you speaking.

@ChemEfy 10 месяцев назад

Thanks for your comment and feedback on the quality. I didn't think the audio balancing was too big of an issue on uploading, but on re-listening there are several places in particular where the vocal audio gets partially overpowered. I don't plan on re-uploading the video as I allude to in my responses to similar comments - I will ensure no future video has this balancing issue though :).

@bscutajar 11 месяцев назад

Why is the music so loud???

@ChemEfy 10 месяцев назад

Thanks for your feedback :) - didn't think it was too bad when uploading, but on re-listening it does need toning down in places. Will ensure this is not a problem for future videos :).

@sandilemasuku2240 11 месяцев назад

I loved the video, next time have a purse and think moments, edgerunner

@ChemEfy 11 месяцев назад

Thank you, I'm happy you enjoyed it! :) You make an excellent suggestion - will bear in mind for future videos - thank you!

@alexcasal382 10 месяцев назад

The music is way louder than the voice, please lower it a bit, for the rest, great explanation

@ChemEfy 10 месяцев назад

Thank you, and yes I'll lower the music volume for future vids :).

@ronaldwanders 11 месяцев назад

Why the music...?

@ChemEfy 10 месяцев назад

Thank you for the feedback! :)

@janverhave 11 месяцев назад

Can you lower the music please and re-upload? For a non native, it’s very difficult to hear what you’re saying. Thanks!

@ChemEfy 10 месяцев назад

Thanks for your comment :). I don't plan on re-uploading the video as I allude to in my responses to similar comments - I will ensure no future video has this balancing issue with the music though :). Hope this is ok!

@empireempire3545 11 месяцев назад

Wait i thought Navier-Stokes equations model all fluids, not just newtonian-incompressible case? O_O

@purzer5161 11 месяцев назад

the most general form of navier stokes is all fluids, this video uses a simplfed version

@MuitaMerdaAoVivo 11 месяцев назад

To model non-newtonian fluids and compressible fluids, you have to keep viscosity and specific mass inside the vector operators, since they are functions of space and time. The only real limitation of Navier-Stokes lies in the continuum hypothesis, when this hypothesis fail, you have to use statistical mechanics.

@ChemEfy 10 месяцев назад

Very pertinent comment :) - as others have already commented in reply, if I lift the incompressible, newtonian, isothermal assumptions you'll get a more general version of Navier Stokes which can apply to a wider range of fluids. I quote a common simplification of this general form in the video. In reality, the viscous term has the potential to house a more complex relation (e.g. a Non-Newtonian fluid like shear-thinning, shear thickening, Bingham plastic etc.); viscosity/density will not be constants and will vary with temperature/local concentration variations as the video mentions in the latter half, amongst other things which can complicate the equation set. Hope this helps :)