@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: https://youtu.be/E3i_XHlVCeU. ✈️✈️✈️

The bundle with CuriosityStream mentioned at the end of the video is no longer available - sign up directly to Nebula with this link to get the 40% discount! https://go.nebula.tv/theefficientengineer

@hassanalzakout6297

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

@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.

@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.

@arun1775

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

@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.

@dlwatib

@ 5:13 Wind tunnel tests reveal that fluid flowing over an airfoil does not travel faster than fluid flowing under it, therefore Bernoulli's principle cannot be used to explain how lift is generated. As a matter of fact, in wind tunnel tests the air above the airfoil is slowed down by the airfoil and actually reaches the trailing edge of the airfoil after the air that went below the airfoil.
 
It is, of course, nonsensical if you think about it from the point of view of the air. We can assume that it's static before the arrival of the airfoil, and it's the airfoil that moves horizontally, not the air. The airfoil cuts through the air horizontally, forcing most air near the airfoil downward below the airfoil and a much smaller amount initially upward to make room for the airfoil as it pushes through the air. The majority of the air being forced downward creates an equal and opposite force on the wing that results in holding the plane aloft against the force of gravity. Contrary to the image in the video, the leading edge of the airfoil is an area of high pressure, not low pressure, as the leading edge pushes against the air, causing the air nearest the leading edge to move horizontally with the airfoil and thus to bunch up. This dynamically generated high pressure at the leading edge causes drag on the airfoil, the well-known bane of airfoil designers. The area of low pressure occurs further back along the airfoil where it tapers downward, dynamically creating an area with no air (vacuum) immediately above it that causes air above the airfoil to be sucked downward and follow the curve of the airfoil down. An airplane may stall if the angle of attack is too great, causing air to fill the vacuum from behind and below the airfoil instead of above it.
 
Note that the airfoil's horizontal movement results in net downward movement of air both above and below the airfoil (at the trailing edge) and there is no actual horizontal movement of the air opposite that of the airfoil. Instead, some drag inducing air is actually displaced in the direction of the airfoil movement.
 
If we insist on using Bernoulli's principle to understand airfoil design, we must understand that the dynamically generated high pressure at the leading edge of the airfoil induces downward, and also some upward and leftward velocity on the air as the airfoil pushes from the right and blocks rightward air movement out of the high pressure zone. The weight of the plane also adds to the dynamic pressure under the wing and increases downward air velocity, but it's that air pressure that holds the plane aloft. At the upper rear of the airfoil, the dynamically generated low pressure (vacuum) induces downward and possibly rightward and upward velocity to the nearby air of relatively higher atmospheric pressure so that pressure is quickly equalized in the wake of the airfoil.

@aether3697

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

@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.

@johnfaustus1

To be pedantic, 0:50, Bernoulli did describe it, but it was Euler who derived the equation in the usual form.

@utkarshpuri3739

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

@jamessurette3562

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

@wonderbucket1242

at 5:28 there is a picture of a wing showing where the "low-pressure" is above the wing, but I believe it's backwards. The low-preassure should be the greatest above the BACK of the wing where it thins out, not at the front.

@Angor6495

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

@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

@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 😍👍👍

@Njogubig

3 hrs lecture - confused 
13 min video from you - Understood 100%
Thanks

@Saksham-u9e

covered venturi meter , torcelli's law , bernoulii's primciplw in a same vid under 14 min excellent vid!

@pododododoehoh

You are easily the best channel I have found for learning physics concepts like with statics and thermofluids, on the entire internet.
Made it to my finals I'm now revising for. Love you man.

@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.