Understanding Bernoulli's Equation

The Curiosity Stream and Nebula bundle is no longer available, but you can still sign up for Nebula and get acess to my bonus videos - use this link for 40% off! go.nebula.tv/the-efficient-en....
Bernoulli's equation is a simple but incredibly important equation in physics and engineering that can help us understand a lot about the flow of fluids in the world around us. It essentially describes the relationship between the pressure, velocity and elevation of a flowing fluid.
In this video we'll look at how the equation can be used, and we'll explore a range of different applications.

[@TheEfficientEngineer]

Well... not everyone is happy that I mentioned lift as an application of Bernoulli's equation! Here's my video on lift where I explore this in more detail: kzbin.info/www/bejne/e2TMkIt-obt2m7c. ✈️✈️✈️ The Curiosity Stream and Nebula bundle is no longer available, but you can still sign up for Nebula and get acess to my bonus videos - use this link for 40% off! go.nebula.tv/the-efficient-engineer.

[@S_Bellew]

Sorry, but your explanation of what generates lift is completely incorrect. If it was correct, planes wouldn't be able to fly upside down, but they do it effortlessly. Sticking your hand out of the window of a moving car gives you a very good idea of what generates lift. You don't need airfoil shape for this. Also, check out this MIT lecture: kzbin.info/www/bejne/m5Wvn42de56gi8k They got it right. Lift is impossible without angle of attack. Negative angle of attack creates negative lift.

[@S_Bellew]

@@chrisvanwoert8454 Why do you think that lift, as it is understood in aerodynamics, is necessary to make things fly? Lift is required for conventional planes to be able to climb. When a plane is not climbing it just glides. Lift is not required for gliding. What makes an arrow or a missile fly? No angle of attack, no airfoil... Using Bernoulli equation as an explanation of what generates lift is factually wrong because some planes don't have airfoil profile, and planes can fly upside down. This is a fact and Bernoulli did nothing to explain it. kzbin.info/www/bejne/iH6vaGOvialsapI

[@S_Bellew]

​@@chrisvanwoert8454 You are comfortably ignoring my questions. Are they too puzzling? Instead you resort to personal attacks. How sad, yet so common and so predictable. So much for an aerospace engineer. Can you give me examples of lift generated at zero angle of attack? Can you give me examples of planes climbing at zero angle of attack?

[@S_Bellew]

@@chrisvanwoert8454 I actually agree, that cambered airfoil dose generate some lift, but this is not why planes fly. Planes can fly without cambered airfoil, but they can't fly without utilizing and controlling angle of attack. Saying that planes fly due to utilization of Bernoulli principle is fundamentally wrong. Angle of attack creates an incomparably greater pressure difference and it is this pressure which does all the heavy lifting.

[@S_Bellew]

@@chrisvanwoert8454 the video says that this is how planes generate lift without even mentioning the pressure difference created by angle of attack. This is fundamentally wrong and misleading. Lift can easily be generated without cambered airfoil and planes can fly without it, but they won't be able to fly without utilizing angle of attack. Bernoulli principle does assist lift generated by angle of attack, but it is only a small portion of it.

[@hassanalzakout6297]

I am a Mechanical Engineer and I can say this is an excellent explanation. Well done.

[@el_chico1313]

is the math and physics hard like is it intuitive or abstract? thinking about microtechnology studying

[@promfgamer3699]

@@el_chico1313 I’m a first year engineering student. About halfway into the semester. And I would say ‘hard’ is relative. If you apply yourself and commit to learning the processes and understanding them they will be ‘easy’ to you. This being said. The calculus is clicking with me and physics makes sense but the physics is a lot more difficult in my opinion when you have to rearrange equations algebraically to find the answer you need. If you go into engineering. Make sure you are good at algebra. Bc to understand calculus and to do the processes it requires you need to know the algebra behind what you do. As well as physics. For example our chapter this week are vectors of kinematic in 2 dimensions. We have a position function, velocity, and acceleration. And many times many. Many times you are required to rewrite the equation’s algebraically to find the variable you need. This is required for every problem. And that is more difficult to me than the math is. Because the math of calculus or whatever is pretty straightforward you solve it. Solve the limit. Find the derivative. Whereas physics it’s basically up to you and your intuition to find what you need in order to figure out problems like a projectiles velocity when it hits the ground.

[@kennethrevilla639]

@@promfgamer3699 I agree, Curiosity in any type of knowledge will cure all the "hard" part over time

[@RONIKSHARMA1641]

Where you're from.. I want to make a college project which should be unique... So please help me in the making project

[@lildemon0523]

Lmao yess I honestly I ask so many question this explained everything

[@Preposter]

With online classes, it was so hard to understand this. I've checked textbooks, websites, and countless videos, this is the best video that explains this.

[@G23_12]

ok, i'll give this video a shot.

[@asj2020]

@@G23_12 How was it?

[@G23_12]

@@asj2020 I didn’t pay attention, I was too busy playing tiny wings on my phone...derp.

[@Hero_Alan]

Which grade are you being studying in man?

[@G23_12]

@@Hero_Alan College level haha

[@Caleepo]

How the f were people able to discover/invent these things in the 19th/20th century, while I can only understand it with 3d visuals.

[@timdo190]

What else were they able to do back then? Not like they had any video games, social media or anything like that to stimulate their minds.

[@victorvilla8924]

It's humbling for sure

[@omogaju]

These days I can hardly go anywhere without my GPS. In the early 2000s, I engaged my mind more to learn certain things, landmarks, and stuff essentially pay attention. These days I feel we are becoming mentally lazy. We instead need to think about the next vial video that adds no value to humanity except entertainment. Majority of the thinking is left to a few.

[@EnigmaverseElysium]

@@omogaju i thought you meant u lived in the early 20's lol

[@omogaju]

Justice Cruz 😂 nice one

[@arun1775]

A video on Navier-Stokes and ways to solve this would be a perfect follow up to this.

[@sujaankumar30]

Definitely!!

[@Gumball_W]

I’m afraid that it would be too hard to explain it in an understandable way.

[@19mehtab]

Unless you have a high understanding of mathematics(if u do great) it will be very hard to understand, if u are an engineering student there are probably fluid mechanics tutorials to solve navier stokes using various assumptions

[@Jonnyw23]

That would be impressive, though unfortunately comprehending Navier-Stokes requires a high understanding of math, and results in the vast majority of flow being boiled down to non-linear solutions, which ultimately just mean that CFD is the only good option for simulating flow patterns. Though I would love to see a company like this try and explain NS, cause it is certainly one that would be good to have explained easier.

[@ismailsayah624]

hard to explain , hard to solve

[@aether3697]

Bruh, just in time for my newly started fluid mechanics class, thanks!

[@samuelojo1220]

Good luck

[@manavbhatia777]

Nope, you're too earlier

[@kano6325]

Get that absolute raise of energy recovery my dude

[@utkarshpuri3739]

Bro...who taught you this god level of editing 😍😍

[@mehtasanjay]

Bhai ye to create na kiya hai

[@vikas2435]

🎉

[@ahmetbuyukumman3544]

OFCOURSE ,ALMIGHTY GOD, inspired him. because he worked so much.

[@yngfljm2277]

@@ahmetbuyukumman3544 Kapp

[@yngfljm2277]

@Mahmoud Abdlshafi sez u

[@nguyendiem1060]

I think the one who made this simulation is a genius and master of what he or she was doing. Sometimes even a professor at the university could not explain things as easily as the one in this video. Greatly appreciate it.

[@getsetgears9187]

I have been waiting for so long for yet another video on FM by you and I am glad it's finally here. I have a confession to make, I was legit scared of strength of materials until I came across your channel. You made me fall in love with the subject and I cannot thank you enough.

[@TheEfficientEngineer]

That's awesome, glad to hear it! :) Strength of materials is such an interesting topic!

[@swadhanandy9666]

Kudos for your emotional comment....

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@rishinigam9070]

Aeroplane, hut terrace blow off in storm follows this principle p+ 1/2 pgh+ pv^2 = constant

[@user-iw3ji8yz2t]

its best

[@romantrigubov80]

One of the best educational video ever. Brief and easy to understand. Great job!

[@woody1147]

where was this video 4 years ago when we had no lecturer to teach us this ! great video thank you for explaining why it works rather than just "because it does"

[@iskandarmohamad7007]

This video is easy to understand because of the visual aids and most importantly, stunning to look at too! Thank you so much to all that involved in making this video!

[@BMR86]

back when I was in college over 13 years ago, I often went on youtube to try and find videos on the subjects I was having a hard time with, I don't know how long this channel has been going on for, but I wish I had found this particular video when I was taking my fluids mechanics classes! I graduated Chemical Engineering so this is a very important topic in my field.

[@lukewalker1051]

I went to engineering school in the early 70's and Thermo/mechanical engineering was my major. When I saw Bernoulli, I had to click on this video. I am sure others join me with reverence of the great men that discovered equations that emulate the physical world we live in. Level of genius involved to be the creator of the math involved...math is discovered and not invented...is hard to fathom really. Thank you and shout out to fellow ME's watching this and hope life has treated you kind. Tp me, people are born to be engineers. We don't really choose it, it chooses us.

[@Angor6495]

what a good timing! i need this for my fluid dynamics exam on saturday :)

[@CanadianIndian88]

Great job buddy! I learned this almost over 10 years ago in my applied fluid mechanics class and this is a great reminder of that class! Fluid mechanics is really interesting topic and used in so many aspects of everyday life.

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@davechavezjr5399]

Studied all of this at Jet School when I was in the Marine Corps! Lots of memories! Good instruction. 🙂

[@MrxOnurb]

I study this on college when no online education existed Nice to remember this equation ❤️

[@siteofdaniel]

good for you, i hardly remember F = ma

[@skullmax3595]

You learn this is college? Bro im learning this is highschool idk why these shtters keep putting high level stuff into kids syllabus. 11th grade btw

[@PulasthhiUdugamsooriya]

Sometimes I watch your videos just because they are so pleasant and beautiful to look at. I love your animations, and how minimalistic they are 😍👍👍

[@tranquil5892]

Learned about Bernoulli’s Equation in my ODE class a week or two ago. Thanks for helping out w the visualization

[@jf8461]

Love the simplicity and clarity of this explanation! 👍🏼 I watched it as a refresher for my job. It actually makes me want to whip out the old Fluids book! 😂

[@HiAdrian]

What an outstanding channel, the explanation and illustration on these videos is superb. I wish I had discovered it sooner!

[@thanasisathan9090]

Fluids in motion and preassure is the only topic ive nailed down in this years physics lmao, litteraly my ticket to uni.so fun to do more research upon too

[@naikganesh5677]

I was pondering on this topic, but the way he made it clear is just amazing. A thumping *Thanks* from my side

[@joshuabond5292]

Learning Bernoulli's was when I knew I wanted engineering to be my path.

[@DragonRazor9283]

that's awesome

[@gouthamkumar1750]

Almost same to me....but I came through Planes and Now I'm a Mechanical Engineer

[@geckokun2805]

@@gouthamkumar1750 wow

[@geckokun2805]

@@gouthamkumar1750 was it hard?

[@gouthamkumar1750]

@@geckokun2805 nope.... That was the best part of my life....I built "BAJA SAE" every year since my second year, I was in FSEA SUPRA and Hybrid cars for 1 year and SAE GOKART,EFFICYCYCLE and SOLAR vehicles on my 3rd year...I just have 1 regret though I have never been to an international event but I roamed all over my country just in 3 years and It was completed sponsored.. Now I just miss those days

[@kentayagi9530]

Disappointed that this channel was just recommended to me today! I am very fascinated in engineering and upon seeing the visuals and explanations, you got yourself a new subscriber! Keep up the good work!

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@houstonbailey8527]

I seriously LOVE your videos! They have helped me understand and make daunting concepts relatively simple to understand! Maybe do one on slipping/tipping?

[@behzadfakour3908]

This is probably the best video I have ever seen in this area. Well Done. Please continue in the area of Fluid Mechanics

[@woalium]

I was trying to wrap my head around this and this video finaly made the concept click in my head, thank you!

[@Tobynator1]

Your videos are incredible and informative. Thank you a lot and please keep up the good work!

[@mustapham6890]

Thank you so much, not just for this video but for everything. The work ,the effort that you place to teach us is priceless. I know my appreciation and thanks will not pay you back your effort. But thank you from the bottom of my heart. I was struggling in different areas. And your videos made sense on how and why we use Math and Physics. My sincere appreciation

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@waelhosn4924]

Your method of explaining is beyond awesome. I wish college used the same methods of explanaition.

[@mrjup4589]

Having this in my fluid mechanics class, great explanation

[@musakucukali7774]

I've loved your solid mechanics videos and recently I've seen the videos which are familiar with fluid mechanics. Great job and thank you! Expecting more phenomena like this.

[@Chazz155511]

This is a top notch video. Actually made me want to get nebula. But the equations were well written and explained. The visuals were clear and intuitive.

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@ezgialhussin98]

I am an environmental engineer and you have helped me with my courses such as fluid mechanics and water supply. thanks. 🙏

[@Zhujiayi7]

These videos are so well made and very helpful in understanding fluid dynamics, thanks!

[@roberto987]

Your videos are an inspiration, they spark a curiosity in me i had long thought to be lost. I'll make sure to feed the flame, thank you.

[@ManuB3581]

I feel the same !!

[@jamessurette3562]

I've got an exam on this tomorrow! I knew following this channel would come in handy!

[@thelaurens1996]

How did it go?

[@geertwilders5798]

@@thelaurens1996 I'm James' second account. It went pretty well in the first half, but I failed the second part of the exam.

[@kano6325]

Learning is a raise In all rejected goals

[@amirpenkar947]

So refreshing to see this type of content. Thanks for helping me understand this in depth

[@NadirAli-yx5gl]

I watched 10 videos on this topic and this video cleared all my concepts...!!!

[@vitor_honna]

I can't wait for the Navier-Stokes video! I found this channel yesterday and I've already watched all the videos :P Great content, man, it's gotta be the best animations/explanations I've ever seen on these topics.

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@maverickable8]

Learnt, unlearnt and now relearnt after more than a decade. I still vividly remember the experiments we used to showcase on bernoulli's principle at sciene fairs at high school. Also vividly remember the venturi and orifice meter experiments at fluid mechanics laboratory in university. Equations like bernoulli's are simple yet powerful. Thanks for sharing 🙏

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@sharana.p5921]

Omg I have studied these things in my second of my college. I just mug it up all those things. But I searched a lot about fluid and solid mechanics alot in KZbin. Can't find videos like this. Once I found this channel on while You uploaded the second video. I got clear idea about those thing you explained. Thank you for your quality videos. Please continue of posting videos. ❤️❤️❤️❤️❤️❤️

[@anarchV]

keep making great vids like centrifugal force , pascal law , continuity equation , venturi , orifice , water hammer , stall , detonation , surge , knocking , stagnation pressure , vibration , cavitation we all be really grateful if you did those

[@zen2924]

Why do you know I just learned Bernoulli's Equation and didn't quite understand it... Thousands of thanks!

[@swadhanandy9666]

Its one of the best Engg formulaes

[@r.vincenta.9678]

The video was well done mate! My engineering boards are coming in a few months from getting postponed due to the pandemic and I'm grateful for the refresher.

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@ayoopopoola439]

Where has your channel been all these years. So glad to know I've found another great KZbin Channel. Thanks🔥

[@asadullahsafi1]

This is the best explanation of Bernoulli equation ever. Thanks a ton 👍

[@nas8r567]

so beautifully animated. I wish all concepts of Physics could be explained like this. Such a great channel.

[@guyluck9253]

This principal was fundamental in the development of the steam injector used for forcing cold water into a fully pressurized steam boiler for steam locomotives and other steam engines. The steam injector was a brilliant piece of engineering.

[@nasseralwardi6301]

I have to say that this is THE BEST video explaining Bernuli's equation principle !! well done and thanks you :)

[@princegarg5328]

Brilliant explanation and excellent animation. Thanks a ton for uploading this.

[@gkrozr9]

I really enjoy and appreciate your videos. If you could do a video about tolerances-fits that would be amazing. Thank you and keep up the inspiring work.

[@paklegends2843]

Wassup Saitama dude,you studyin physics now

[@consciousart1]

after a weekend with my mechanical engineer friends I’ve watched this and understand the weekend easily as an electronics engineer :)

[@funfair-bs7wf]

This video is WAY BETTER (in my opinion) than some high standard textbooks ! This is really a great job ! Thank you !

[@archie851]

dude's voice is a literal lullaby...i drifted off in the middle....jokes apart...brilliant representation and explaination..thanks buddy!!

[@RushitShukla]

I am currently an Instrumentation Engineering student and I can definitely say this video covers everything that you need to know connected with the Bernoulli's equation and flow measurement using this equation. It is explained in the most appropriate and easy way including all the maths, for everyone to understand. Thank You for uploading. Subscribed.

[@UNHCORE]

Really well done video. A few comments: - the main assumption in all forms of the Bernoulli equation shown in this video is "inviscid flow", ie., neglect all viscous (fluid friction) losses. - in the derivation of the Bernoulli equation you do not have to assume the flow do be laminar. Actually, viscous losses are comparatively higher in laminar flow (= lower Reynolds number), so applying the Bernoulli equation to laminar pipe flow would give significant errors after a short distance. - agree with what TraneFine is saying below... - when you apply Bernoulli to pipe flow, or a contraction (Venturi meter, etc), you are really expanding the "streamline" derivation to a "streamtube" concept, ie., you are saying that the velocity is uniform at any given cross-section -- also known as 1-D flow.

[@klienertlastino1287]

Thank you very much for this wonderful video. Finally, understand this concept after watching many videos. Much appreciated :)

[@anonymoususer167]

love how you explained everything.

[@Vasiliy9hells]

Very neat and clear explanation sir, but I just can't help but miss your videos on structural mechanics. Hope one day we will see some lectures on macro-mechanics of composite materials from you. Keep up the good work!

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@civilengineer2288]

Hats off to you sir.! You are also a great personality to witness sir. Though you don't mention in your videos but I do get motivation and inspiration at the end of the video to try to follow your path.! Sir, can you please explain why for an airfoil you represented the low pressure with a much more area diagram than for pressure below airfoil, is it a free hand type of pressure diagram? Thank you sir for your videos & presence again.!🙏

[@AMRRRCH]

Taking your level one next week. Thank you for making this information accessible.

[@md.shabee8563]

Awesome way of explaining Sir, really loved it ❤️

[@mayankkandekar338]

bruh i am preparing for jee and this is the perfect explanation for aspirant like me

[@shanzay8686]

I've recently started watching your channel and I must say your videos are on next level. I've confusion in static, dynamic, hydrostatic and stagnation pressure. Can you please make a video on that as well?

[@ghaithaq501]

kzbin.info/door/gnO_q7xjxSYotvyUMgwzEAvideos

[@ianshaw7533]

Man, I can’t even explain the value in these videos. But I can approximate it to the value of attending a University to study engineering, except your videos are far better! Thank you, thank you, thank you

[@theT3901]

Educational videos like this are life savers for high school students like me during this period of uncertainty.

[@chiragtambade2775]

Excellent illustration, very well explained. Recently came across this channel and saw a few videos about fluid mechanics as it is what I am studying rn and the grasp of ideas and concepts I had after watching these videos is just crystal clear. Thank you soo much :)

[@phenomenalphysics3548]

our professor told us just the equation and explained nothing else, thanks for this video

[@cosmicwanderer891]

This is what my teacher did as well. He just copied the derivation of the equation from the book to the whiteboard and didn't really explain anything.I doubt he understood anything about it himself.

[@palpa9614]

video graphics are insane , thank you making such a high quality content.

[@ryanc.segarra5883]

Thanks a lot for this, it really helps in my Fluid Mechanics subject

[@hatimmounib745]

Great video and animations as usual. Thanks a lot. A questionn about the Pitot tube : Why do you assume that the flow doesn't enter in the tube ? In an other words, why do you assume that the stagnation point is at the entry of the tube, rather than at the end of it, where the stagnation pressure measurement takes place ?

[@babaliyusuf7588]

I watched this video before fluid mech lecture. Now I am studying it that's why I understand your video clearly. its satisfying.

[@Roman86cc]

Amazing explanation! Will definitely check more videos on your channel (related to my studies). Thank you for your effort.

[@ArunKumar-kr4hh]

About this channel : In One word - Great. Can tell me the source - books for Fluid Mechanics and Strength of Materials?

[@Eric-sq4hd]

this is the most legit video I have ever seen in my entire life.

[@fattouhayoub7746]

Thank you so much for this content , please continue like this overtime thanks again

[@hetdave8679]

So beautiful explanation along with amazing animations , thank u so much

[@cwj9202]

I think Bernoulli's equations play a minor part in wing lift, and the main emphasis should be directed toward Newton's Third Law of Motion which says for every action there is an equal and opposite reaction. If a plane's wing is being pushed up, then the equal and opposite reaction is air being pushed down. Airplane wings are usually tilted upward in front by four degrees, which creates more force on the bottom of the wing than on the top surface, thereby creating a tremendous upward force on the bottom of the wing producing lift. I seriously doubt the additional small amount of distance the air requires to travel over the top of the wing surface creates a pressure differential large enough to produce the necessary lift.

[@deepaksubba9527]

I think u are not able to make the connection between these concepts... Actually it is interconnected... I.e. the shape of the wing and the tilt contributes to the low velocity... The key here is reducing the velocity below the wing which cause not just the drag and lift effect but also increase in pressure below the wing span... Which mean relatively higher velocity and lower pressure in the upper wing portion...

[@cwj9202]

@@deepaksubba9527 - I perfectly understand the interconnectedness of the principles involved. I am just stating that Newton's law is the predominate issue here.

[@ilovekianna21111]

@@cwj9202 I agree about Newton's Third being important but the pressure differential can't be underestimated. The pressure differential is not just dictated by the thickness of the wing but by the difference in boundary flow conditions on the upper and lower portions. The flow is much more turbulent on the upper portion (the 4 degree tilt mentioned ensures this) resulting in a significant increase in velocity and corresponding decrease in fluid stagnation pressure on the upper portion relative to the lower

[@cwj9202]

@@ilovekianna21111 --- I will not disagree with the physics you mention, but I think they are minor in comparison to the principles of Newton's third law of motion.

[@hund4440]

@@cwj9202 I dont understand why bernullis principle is always used to explain wing lift eventhough newtons ? law is so much easier to explain( and isnt countrrintuitive to many people as decreased pressure st higher speed is) also it doesnt explain lift from symmetrical airfoils

[@IQ-303]

3:30 the continuity equation holds regardless of whether you assume an incompressible flow or not. The assumption would help you get rid of the density change between 1 and 2.

[@yogaforsuccess]

Thank you for a clear and precise explanation

[@apocalypt0723]

Thanks for this. This is literally Gold

[@gwho]

i don't think i intuitively understood bernoilli's principle, even after a college degree in engineering until this video. college is so worthless. good teaching/schooling/education is all about how well you're able to get a person to have that aha understanding, not how much money it gets, its brand name reputation, or how challenging they make their courses.

[@alieneater3328]

im doing a report on this topic and everything youre saying is 100% true bc so far im 15 pages in and i barely know wtf im doing

[@yngfljm2277]

@@alieneater3328 so how'd that report go?

[@alieneater3328]

@@yngfljm2277 went well. actually understood what i did eventually and submitted it.

[@christianwiese9887]

Fluid dynamics Chapter 1: "Water flowing down the gully it's adhereing to Bernoulli"

[@laincalvo9661]

Men you are a genius, thanks for the video, it would help me a lot when I was studying fluids, greetings from Argentina

[@joefromravenna]

Working on a non Newtonian fluid flow problem right now. Sometimes you just need to get back to basics to figure stuff out. Thanks for the video.

[@Wintersghost135]

I was never satisfied with the typical explanation given of how lift occurs on a sail or wing - that air flow has to cover a larger distance on the top of the wing so it creates lift on the bottom. It’s as if all the air molecules on the bottom of the wing tap each other on the shoulder and say “hey bro, I heard that the air on the other side of the wing has to travel farther. So that means we should push up on the wing.” I prefer to think of molecules and atoms smashing into each other to provide explanations as to how things move. The way Einstein visualized what it’d be like to travel as a light wave, I like to visualize what it’d be like to be a molecule colliding into things - it’s more intuitive.

[@dbtest117]

Same with me, when they explained this to me as a teenager I immediately asked how does the speed change decide that and how does it occur. And no explanation was given. Never believed that. It was until later I could see how the explanation is backward and while the principal can explain the airspeed difference that is all it can, but it cannot explain lift.

[@Felipemelazzi]

There are moments in life where you must pause to digest something new that contradicts your intuition. 4:30 is one of those moments

[@MrPaulCraft]

That's why they call it a paradox for a reason. :)

[@skauffman74]

A beautiful introductory fluid mechanics course in 15 minutes. Congratulations and keep up the good work! Greetings from Mexico.

[@yakinpatel504]

Giving a best visualisation techniques.. Thank you 👏

[@jonstearns904]

Would you consider creating a video on your process in Blender for these videos? Or link some resources you used to develop your skills in this area? I am a young lecturer at a university and I want to build up my own catalog of content like this, I've shared your videos with my students and they love them!

[@TheEfficientEngineer]

Hi Jon, thank you for sharing the videos! There are many Blender tutorials on KZbin which explain the software far better than I ever could, so I haven't planned on creating any such videos myself. I talk a bit about my specific workflow on my Patreon page (www.patreon.com/posts/36136936), but feel free to email me at [e-mail] if you have questions or anything you would like to discuss.

[@AS-jb4my]

I just had the exam in fluid mechanics and this pops up right after lol. Good video nevertheless!

[@TheEfficientEngineer]

Hope it went well!

[@AS-jb4my]

@@TheEfficientEngineer Thanks. We'll see after I get results 😃

[@AS-jb4my]

@@TheEfficientEngineer Went well. I passed, now I have this video to help me for oral examination. Thanks!

[@alessandrofarina4284]

Super high quality content! Many thanks!

[@sk-7523]

You are a hero. I love your videos so much! watching this video is more enjoyable than watching movies

[@martino7582]

I spotted a mistake. At 3:30 you say that the continuity equation is valid under hypothesis of incompressible fluid, which is wrong. The right hypothesis for the continuity should be the steady state condition. Nevertheless, excellent job! Keep up the good work!

[@Tranefine]

I agree with you on every part in this video except the one at 5:09: whilst Bernoulli's theorem that high-velocity results in a decrease in pressure is, in fact, correct, it is not the reason how *lift* is on an airfoil, such as a wing on an *aeroplane* is created. This is due to *Newtons third law* _actio = reactio_ as the deflection of the air above the airfoil creates an opposite reaction. This reaction force allows the wing to create lift. I mean: imagine that it would, in fact, be Bernoulli's principle that was responsible for the creation of lift. What, if an aeroplane would fly upside down (like an aerobatic plane)? Or what about wings, that are symmetrically formed? Also: there is an old theory, that air velocity over an airfoil would increase to reach an air particle from under the wing at the end. This theory is also wrong and visualised in this video from Cambridge University: kzbin.info/www/bejne/i6KlnpeQYqeBn8k

[@jaffacalling53]

You're wrong, it takes both Bernoulli's equation and Newtons third law to explain how lift is created by aircraft.

[@leonardocortezgonzalez9043]

@@jaffacalling53 Maybe it takes both principles but it is wrong the way the video explained the lift generation.

[@jaffacalling53]

@@leonardocortezgonzalez9043 Yes, the video oversimplifies it to the point of basically being wrong. But both effects need to be considered to fully explain how lift is generated.

[@Tranefine]

I see that you both have already discussed the point of my comment. Yes, it is clear to me that Bernoulli’s theory is not wrong per se but just too oversimplified in the video to use it alone to describe the lift effect. It’s just that I have learnt in my physics course, that Newton’s third law would be more relevant for the creation of aerodynamic lift than Bernoulli. I guess it’s still a topic of discussion how much either principle is more or less relevant, as personally, I do in fact believe that it is actually Newton’s third law. This is because - as stated in my previous comment - how would lift be produced if an aeroplane flies with symmetric airfoils?. I really don’t know how that could be explained with sticking only to Bernoulli. And just as a disclaimer: I actually said that Bernoulli’s principle is not wrong in its actual meaning, but, yes, I guess I should have been a bit more precise that I meant that lift is not only a result of Bernoulli’s principle but also Newton’s third law rather than just focusing on Newton after that.

[@whywhatwhenwherewow]

Actually it's just another way of describing what's going on. In physics there are often multiple approaches to understanding and analyzing a system. In the case of lift there is in fact an air velocity/pressure differential (and you are correct that the old hypothesis that this pressure differential came from particles "splitting and meeting" across an airfoil is entirely wrong) between the top and bottom of the wing and that pressure differential can generally account for the lift, or at least most of it. Newton's laws also apply of course, but instead of analyzing by pressure differential you would analyze by the mass and average downward velocity of the air coming off the airfoil. In the same vein you can analyze the system through conservation of energy. Now if you want a deeper understanding of what's specifically going with the air at and behind an airfoil, you have to have a more advanced understanding fluid dynamics including both turbulent and laminar flow. The way airfoils generate vortexes is particularly critical. As for flying upside down, that has to do with getting different results out of an airfoil with different angles of attack. Aerobatic planes in particular are generally made with symmetrical airfoil wings so that performance with negative angles of attack can more or less mirror positive angles. Some asymmetrical airfoils can still fly upside down but will perform very differently at negative angles than at positive angles and are therefore less predictable for the pilot when the plane is inverted.

[@danielerdman7543]

Thank you..... That was very clear and inspirational. Godspeed.

[@quynhthanhoi2326]

Thank you so much, not just for this video but for everything.