Sir, I saw this video 3 years back when I was in 11th grade. I was about to give my finals and this video cleared all my doubts. you were so well organized throughout the explanation. I forgot to gave a nice comment when i watched this video for the first time, it's never too late , so here i am. Wishing you good health sir. Love from India.
@@matzr3000 currently I'm in final year of college, pursuing Bachelor of Technology in computer science and engineering. I've just received my first job offer as a software developer in a company, I'm pretty excited and nervous as this is my first job. How're you doing sir?
WOW!!... Dr Anderson... that was the BEST video on the derivation of Bernoulli's Equation I have seen... and I have viewed at least 8 videos..... Your explanation was so Organized from beginning to end!!.. Your style is a rare and talented gift.. Thank you!!
thanks for the Reply, Matt.... I don't usually admit that I'm a 62 year old student for life!! lol... but now I have time to relearn and refresh my knowledge of Calculus and Physics... I truly enjoy all of that. But coming across videos from Teachers who are BEST at what they do is truly a pleasure.. and very refreshing!!.. so, again... thanks for all your videos. Peace always.... now I have to go check out more of your videos... thanks.
"Fanderson", hahaha. I really laughed. Seriously though, thank you for uploading this. You've helped me a lot and it seems I'm not the only person who feel this way. I promise to eat each and every ad, haha.
We used this in the fire department when calculating fire hose nozzle pressures. At the pump, we had to calculate incoming available water from the hydrant (gallons per minute depending on the water main diameter) while feeding different diameter fire hoses with nozzles at the end that were squirting water 2 or 3 stories above ground level; taking what we called "Friction Loss" and "Elevation Loss" into consideration so as not to starve the hose by not providing enough water for the men at the nozzle (while also taking into consideration the fire load at the time), or by over-pressuring the line making it difficult to control or move (hose too stiff to bend). It was fascinating to take all this into consideration at the time, and nerve-wracking at the scene because what you dialed (nozzle pressure and gallons per minute) directly affected the interior attack personnel and their safety.
In less than 8 minutes you gave the best explanation of Bernoulli's equation that I have ever heard. You explained what can be a very complication concept in a way that made it easy to relate to without missing any steps at all.
According to bernolli's theorem, the sum of pressure energy, kinetic energy and potential energy per unit mass of an incompressible, non viscous fluid in a streamlined flow remains a constant.
I love the gradually built-up explanation of this equation, so that you can clearly understand where a certain parameter comes from and how it relates to other parameters
Bravo Prof. Anderson!! You're excellent Sir. You made the derivation of Bernoulli's equation very simple like a linear equation in mathematics. Thank you
Excellent Presentation.. Clear, Precise and Complete!!.. well done!!... now I'll have to go see your other videos!!.. you're a very good teacher.... thanks for all your videos..
The squeaky pen gets the best lessons!! Watching this right before bed to wake up and apply it on my Fluids HW ...of mullllltiple pipes and flows and assumptions. 🤓 And after these 7 min...I ain't scared of no Burnoulli's!
For anyone as confused as I was by this, hopefully what follows helps. The initial configuration considers the fluid between left end of tube and beginning of the region of small length dX2 . The final configuration has the same fluid between the end of region dX1 and right end of tube. The total energy of the bulk of the fluid between both regions does not change during the time dt (= dX1/v1=dX2/v2) the fluid takes to enter region dX2 and leave region dX1. The work done by the contact (fluid) forces f1 and f2 at both ends of the fluid during the motion is f1dX1-f2dX2. The contact force of the tube on fluid is perpendicular to fluid and hence does no work on fluid. No friction forces either. The only other force that does work on fluid is gravity. The change in PE of the fluid involves cancelling the PE of the bulk of the fluid between both of the regions at the ends of the tube. That is why only the PE of both ends appears. Similarly for the change in KE, however you are assuming that the velocity of the fluid at any given point in the tube does not change with time.
Eamon Concannon, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A
people made this equation so complicated for me to understand, but I have to admit this was so helpful. I have an exam in 4 hours and this. this saved at least 5 marks of mine. nothing but respect and gratefulness is all I owe you. thank you, sir.
hey sir i am from india and i swear i have read a lots of books but this explanation was the best and the easiest one to remember too.thank you for this video.love from india for MR .MATT ANDERSON
He is writing on an iPad or on a plexiglass screen, normally with the video on the reversed recording so he can be seen from the front of his face. Many use this technology, and it is clever.
Vijay bahadur Prajapati, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A
Actually, F1 and F2 are being applied to different bodies so we cannot talk about the work on the control volume 1 ou 2. Also the argumentation W = pV does not apply to incompressible fluids, in particular liquids. And the Bernoulli principle does apply to liquids! This traditional way of deriving the Bernoulli equation brings much confusion because of unjustified approaches.
@@yoprofmatt So the work done that you wrote there must be non conservative. Wconservative+Wnonconservative=KE Wnonconservative=KE -- Wcoonservative Wnonconservative=KE + PE please clarify sir. or you can make a video on a question which wants us to find total work done by gravitational and pressure in such type of pipe arrangement. cant we apply total work done = change on ke only in such type of problems.I am confused on work energy theorem and conservation of mechanical energy.
How much biggest modal of Herons fountain Bell siphoning Siphon Inverted siphoning Which have highest free energy So we can combine each equation and found the maximum free energy ? How we got solution for free energy Heating effect of energy of flowing liquid If we make a zig zag path for water at sharp edges so the friction become largest possible so we got hot water at second outlets ????
I literally had to watch the video twice because I was distracted he could teach me about Bernoulli's equation while writing on this magic glass backwards the whole time.
it's weird how intuitive the proof is that even if we didn't know about it's existence we would be able to derive it ourselves after pondering upon the problem for a while
Wow!!!!! Thats a very Unique Style.. Excellent Explanation and Derivation. Can anyone explain what exactly is ∆X1 and ∆X2 ? and how is W = F1 . ∆X1 - F2 . ∆X2 ???
sir you are ultimate still now I have watched so many videos about this but nothing is understand and by luck i saw your video it is superb...very clear thank you so much sir
@@yoprofmatt Thanks for the offer. but i have a feeling that you believe that a rocket can develop thrust in a vacuum. . Which means you are bought and paid for . Cheers.
Can we apply Bernoulli equation to a closed system the same way we apply it to an open system? In an open system increasing the speed of the fluid implies that either the pressure or GPE should decrease as a result of conserving energy. I wounder how would this apply to a closed system?
is there any pressure in the wall (not cross section) of uniform pipe carrying fluid? why? why not? and "P" used in Bernoulli's equation is pressure at cross section(Not wall) of pipe. right? please explain this stuff. regards.. :)
Sir i am from INDIA and currently from grade 11th and i want to request you that can you please make more videos om physics and plus all the concepts like that for a full chapter as i am too scared of physics and finds it harder during problem solving even if i try to learn or understand but your videos are just awesome. Please sir if there is any course related to the same i"ll surely enroll for this. For 11th and 12th.. 😊😊
Hey, can someone explain how is the Net work done equal to change in Kinetic energy + Change in potential energy? I thought work-energy theorem stated that Net work done on a body is equal to change in Kinetic energy. Where did we get the potential energy from? Thanks!
It's a force that pushes mass of fluid backwards. Backwards because it's on the height (Y1) greater than the "entrance" (Y1). So, the fluid on natural act is trying to go back, that's why the negative (-) force came from. Hope you got what I meant. Cheers!
Thanks a lot sir...u r the best physics teacher ..u.help me know my problems and im really2 amazed and gaze upon wonder for your incredible mirror writing....
Hello to India from San Diego! I get lots of comments from your country. I think it's wonderful. I had no idea my little physics channel would take off like this. Originally I was just posting these for my local students. But the power of the internet has surprised me yet again. Cheers, Dr. A
![How to derive the Bernoulli's Equation - [ Fluid Mechanics]](http://i.ytimg.com/vi/KigKcHCtsRI/mqdefault.jpg)
Sir, I saw this video 3 years back when I was in 11th grade. I was about to give my finals and this video cleared all my doubts. you were so well organized throughout the explanation. I forgot to gave a nice comment when i watched this video for the first time, it's never too late , so here i am. Wishing you good health sir. Love from India.
I'm curious, wth u do now?
@@matzr3000 currently I'm in final year of college, pursuing Bachelor of Technology in computer science and engineering. I've just received my first job offer as a software developer in a company, I'm pretty excited and nervous as this is my first job.
How're you doing sir?
The young Iraqi Mohammed Al-Tamimi who solved the complex Swiss Bernoulli puzzle and made your scientists and your pride laugh at you ❤️❤️❤️🤣🤣🤣
WOW!!... Dr Anderson... that was the BEST video on the derivation of Bernoulli's Equation I have seen... and I have viewed at least 8 videos..... Your explanation was so Organized from beginning to end!!.. Your style is a rare and talented gift.. Thank you!!
Thanks Philip, I appreciate these kind words from my biggest Fanderson.
Cheers,
Dr. A
thanks for the Reply, Matt.... I don't usually admit that I'm a 62 year old student for life!! lol... but now I have time to relearn and refresh my knowledge of Calculus and Physics... I truly enjoy all of that. But coming across videos from Teachers who are BEST at what they do is truly a pleasure.. and very refreshing!!.. so, again... thanks for all your videos. Peace always.... now I have to go check out more of your videos... thanks.
"Fanderson", hahaha. I really laughed. Seriously though, thank you for uploading this. You've helped me a lot and it seems I'm not the only person who feel this way. I promise to eat each and every ad, haha.
Thanks Victor. I appreciate these comments from yet another Fanderson (trademark!).
Cheers,
Dr. A
And here i get a great master......happy to learn
We used this in the fire department when calculating fire hose nozzle pressures. At the pump, we had to calculate incoming available water from the hydrant (gallons per minute depending on the water main diameter) while feeding different diameter fire hoses with nozzles at the end that were squirting water 2 or 3 stories above ground level; taking what we called "Friction Loss" and "Elevation Loss" into consideration so as not to starve the hose by not providing enough water for the men at the nozzle (while also taking into consideration the fire load at the time), or by over-pressuring the line making it difficult to control or move (hose too stiff to bend). It was fascinating to take all this into consideration at the time, and nerve-wracking at the scene because what you dialed (nozzle pressure and gallons per minute) directly affected the interior attack personnel and their safety.
you are an extremely gifted lecturer! thanks for sharing your knowledge!
Thanks for giving such a good lecture to me. I got it what is meant to be. Thank you, Professor.
In less than 8 minutes you gave the best explanation of Bernoulli's equation that I have ever heard. You explained what can be a very complication concept in a way that made it easy to relate to without missing any steps at all.
Infinity MFG,
Thanks for the comment, and keep up with the physics!
You might also like my new website: www.universityphysics.education
Cheers,
Dr. A
Sir you explained the Bernoulli's Equation so smoothly and making notes alongside really helps Sir !
Thanks for your Hard work !!😻🙏🏼
According to bernolli's theorem, the sum of pressure energy, kinetic energy and potential energy per unit mass of an incompressible, non viscous fluid in a streamlined flow remains a constant.
Thanks
I love the gradually built-up explanation of this equation, so that you can clearly understand where a certain parameter comes from and how it relates to other parameters
It's 2024 and still this video helps a lot of students like me from different countries.
WOW! Amazing lecture lots of love from Pakistan...
Bravo Prof. Anderson!! You're excellent Sir. You made the derivation of Bernoulli's equation very simple like a linear equation in mathematics. Thank you
The young Iraqi Mohammed Al-Tamimi who solved the complex Swiss Bernoulli puzzle and made your scientists and your pride laugh at you ❤️❤️❤️🤣🤣🤣
Excellent Presentation.. Clear, Precise and Complete!!.. well done!!... now I'll have to go see your other videos!!.. you're a very good teacher.... thanks for all your videos..
The squeaky pen gets the best lessons!!
Watching this right before bed to wake up and apply it on my Fluids HW ...of mullllltiple pipes and flows and assumptions. 🤓
And after these 7 min...I ain't scared of no Burnoulli's!
xd
Best derivation for the Bernoulli's Equation in UA-cam. Thank You Sir !!!!!!!
Great explanation .Thanks and a great respect from Pakistan!
You are very welcome.
Be well,
Dr. A
Probably the best channel for concepts...
For anyone as confused as I was by this, hopefully what follows helps.
The initial configuration considers the fluid between left end of tube and beginning of the region of small length dX2 . The final configuration has the same fluid between the end of region dX1 and right end of tube. The total energy of the bulk of the fluid between both regions does not change during the time dt (= dX1/v1=dX2/v2) the fluid takes to enter region dX2 and leave region dX1.
The work done by the contact (fluid) forces f1 and f2 at both ends of the fluid during the motion is f1dX1-f2dX2.
The contact force of the tube on fluid is perpendicular to fluid and hence does no work on fluid. No friction forces either. The only other force that does work on fluid is gravity.
The change in PE of the fluid involves cancelling the PE of the bulk of the fluid between both of the regions at the ends of the tube.
That is why only the PE of both ends appears. Similarly for the change in KE, however you are assuming that the velocity of the fluid at any given point in the tube does not change with time.
Eamon Concannon,
Thanks for the comment, and keep up with the physics!
You might also like my new website: www.universityphysics.education
Cheers,
Dr. A
Your last point is perhaps wrong. Change in velocity with time is taken into account.
people made this equation so complicated for me to understand, but I have to admit this was so helpful. I have an exam in 4 hours and this. this saved at least 5 marks of mine. nothing but respect and gratefulness is all I owe you. thank you, sir.
Thank you for this.
You make what I found complex easier thank you from Ethiopia
I'm having a physic exam on Monday I think it will be so essential
You have given me a high level of confidence in this video.i am doing my masters degree in water resources.thanks very much sir
Thanks Sir .. well explaned in just 8 minutes .. Thank you Sir .. Thanks and a great respect from Pakistan ✨🖤🤍
hey sir i am from india and i swear i have read a lots of books but this explanation was the best and the easiest one to remember too.thank you for this video.love from india for MR .MATT ANDERSON
how on earth do you write in the mirror writing way?!
i hope you get what i mean :P
video is fliped
No not possible
If it is done the words will be flipped
www.learning.glass/
He is writing on an iPad or on a plexiglass screen, normally with the video on the reversed recording so he can be seen from the front of his face. Many use this technology, and it is clever.
Fantastic 🎉🔥🔥sir ji 🇮🇳
Vijay bahadur Prajapati,
Thanks for the comment, and keep up with the physics!
You might also like my new website: www.universityphysics.education
Cheers,
Dr. A
So no one is going to talk about the fact he's writing backward from his own perspective. Truly exceptional!! 👏👏👏
Wow! Thanks sir. That was really so helpful. Your way of teaching, it's just like it made everything clear. Thank you so much.
Glad to hear it. Thanks for reaching out.
Cheers,
Dr. A
Sir youre really good when it comes in teaching
AMAZING PHYSICS LECTURES! I LEARN A LOT!
I understood the proof of Bernoulli's Equation you explained, even though my English is not perfect. Thank you.
Wow in every video I had watched there was some misunderstanding but you make every thing clear thank you dr. Anderson you saved me❤️❤️❤️😢
Great to hear. Keep up with the physics!
Cheers,
Dr. A
Actually, F1 and F2 are being applied to different bodies so we cannot talk about the work on the control volume 1 ou 2. Also the argumentation W = pV does not apply to incompressible fluids, in particular liquids. And the Bernoulli principle does apply to liquids! This traditional way of deriving the Bernoulli equation brings much confusion because of unjustified approaches.
Better than my Professor last six classes of explanation. 😤
Nice explaination
gemma joy,
Thanks for the comment, and keep up with the physics!
You might also like my new website: www.universityphysics.education
Cheers,
Dr. A
Thank you, this helped me with my finals..
Greetings from student from Croatia :)
amazing video...best one I've found out till now...made the complex equation really simple
Let's just take a moment to appreciate this mans ability to write backward so well
Drew223,
Not writing backwards (I'm not that talented). The board is called Learning Glass. You can check it out at www.learning.glass
Cheers,
Dr. A
Matt Anderson oooh interesting
Sir you're explanation is amazing....
Work energy theorem does not include potential energy.how you wrote work done=change on ke + change in PE.It should only be ke
Yeah we're looking at conservation of energy here.
Cheers,
Dr. A
@@yoprofmatt So the work done that you wrote there must be non conservative.
Wconservative+Wnonconservative=KE
Wnonconservative=KE -- Wcoonservative
Wnonconservative=KE + PE
please clarify sir.
or you can make a video on a question which wants us to find total work done by gravitational and pressure in such type of pipe arrangement.
cant we apply total work done = change on ke only in such type of problems.I am confused on work energy theorem and conservation of mechanical energy.
I from India I got this video and I get the concept in once best explanation of this topic
Much love professor from Africa❤❤
nice vid, thanks. but i didnt understand why theres got to be a force pushing leftwards at the right end of the pipe? 1:45
Thank you so much. I am crystal clear with the derivation now!
"Crystal clear." I hope that was an intended pun about my learning glass.
Cheers,
Dr. A
Good work done
How much biggest modal of
Herons fountain
Bell siphoning
Siphon
Inverted siphoning
Which have highest free energy
So we can combine each equation and found the maximum free energy ?
How we got solution for free energy
Heating effect of energy of flowing liquid
If we make a zig zag path for water at sharp edges so the friction become largest possible so we got hot water at second outlets ????
I literally had to watch the video twice because I was distracted he could teach me about Bernoulli's equation while writing on this magic glass backwards the whole time.
Love it !!!
It is simply awesome ❤
I think F2 is the difference between a solid moving and a fluid moving because a solid may not have an other Solid in front
Sir plz make video on radioactivity and sir kindly tell from which country you are sir?
Thank you so much, Dr.A
No Future,
You are very welcome. Thanks for the shout out. And here's to the Future! Or past. Or maybe just the present. Whatevs.
Cheers,
Dr. A
wow!!! sir that was amazing. i like the way you explained..
Ur absolutely amazing!
This was incredibly helpful, thank you so much
it's weird how intuitive the proof is that even if we didn't know about it's existence we would be able to derive it ourselves after pondering upon the problem for a while
Wow!!!!! Thats a very Unique Style.. Excellent Explanation and Derivation.
Can anyone explain what exactly is ∆X1 and ∆X2 ? and how is W = F1 . ∆X1 - F2 . ∆X2 ???
Why is there a force F2? Is it the gravitational force?
It's the atmospheric force F2=P2×A2
sir you are ultimate still now I have watched so many videos about this but nothing is understand and by luck i saw your video it is superb...very clear thank you so much sir
Sir which marker are you using?
Plz tell i also want to buy it
Expo Neon.
Cheers,
Dr. A
What is the name of this methodology? Means technique ? I am also interested using this technique for my UA-cam channel
Awesome, fabulous
Thank u Mr. Anderson....gr8 video....this one nailed it & cleared my doubts on this
how can he write like that..
He’s leftie!
Fun fact: Spider-Man/Peter Parker uses this equation to swing around
Great job at teaching this concept!
Thanks. I enjoy teaching. And fluids. Yeah, fluids are cool.
Cheers,
Dr. A
Thank you so much🌹👏
this is actually the rocket equation.
bo ptah,
Thanks for the comment, and keep up with the physics!
You might also like my new website: www.universityphysics.education
Cheers,
Dr. A
@@yoprofmatt Thanks for the offer. but i have a feeling that you believe that a rocket can develop thrust in a vacuum. . Which means you are bought and paid for . Cheers.
He looks like Benedict Cumberbatch brother
Khan or Dr. Strange?
Cheers,
Dr. A
But I have a question，the P1 is changing all the time with the flow.
really nice explanation!
very help full sir
Full of help, that's the goal.
Cheers,
Dr. A
Hi I hope you're good
Really interesting lecture I really enjoyed it but I didn't understand that ( v=1/2mv2-1/2mv2 ) where these came from?
It's late but it is the increase in kinetic energy as a liquid moves from one point to another
Really well equation in physics nature
Thank you. Keep up with the physics.
Cheers,
Dr. A
Thank you sir this helped me a lot 🇵🇰 🇵🇰
I learned physics only from you sir and therefore I respect you alot
Bakht Zaman,
You're very welcome. Glad you're enjoying the videos.
You might also like my new site: www.universityphysics.education
Cheers,
Dr. A
Thank you sir really helpful
Can we apply Bernoulli equation to a closed system the same way we apply it to an open system? In an open system increasing the speed of the fluid implies that either the pressure or GPE should decrease as a result of conserving energy. I wounder how would this apply to a closed system?
is there any pressure in the wall (not cross section) of uniform pipe carrying fluid?
why? why not?
and "P" used in Bernoulli's equation is pressure at cross section(Not wall) of pipe. right?
please explain this stuff.
regards..
:)
Sir I go through 5 videos, but your video is rare.
Sir i am from INDIA and currently from grade 11th and i want to request you that can you please make more videos om physics and plus all the concepts like that for a full chapter as i am too scared of physics and finds it harder during problem solving even if i try to learn or understand but your videos are just awesome. Please sir if there is any course related to the same i"ll surely enroll for this. For 11th and 12th.. 😊😊
Hey, can someone explain how is the Net work done equal to change in Kinetic energy + Change in potential energy? I thought work-energy theorem stated that Net work done on a body is equal to change in Kinetic energy. Where did we get the potential energy from? Thanks!
eloquent derivation
Great work professor.
Thanks.
Cheers,
Dr. A
No problem sir.
Sir what is exactly f2.and xplain why it is in the opposite direction please
It's a force that pushes mass of fluid backwards. Backwards because it's on the height (Y1) greater than the "entrance" (Y1). So, the fluid on natural act is trying to go back, that's why the negative (-) force came from. Hope you got what I meant. Cheers!
Head pressure
Thank you soo much sir , your videos are really helpful to learn the concepts. once again thank you soo much .
Sir, can you please make a video for laws of thermodynamics??
How about work between work1 and work2
Pressure is the "work" term.
Cheers,
Dr. A
Wow...just gave my exam 3-4 hrs ago
There was a question to derive Bernoulli's Equation for 5 marks
It's ok...never to late to learn
Thanks a lot sir...u r the best physics teacher ..u.help me know my problems and im really2 amazed and gaze upon wonder for your incredible mirror writing....
Zemin Haokip,
You're very welcome. Glad you're enjoying the videos.
You might also like my new site: www.universityphysics.education
Cheers,
Dr. A
Hi Matt, great lectures. well well done. BTW how does that board work? (what kind of marker / plexiglass)??
the best video on youtube for Bernoulli's equation : ) : )
Sir
You are just awesome
Do u take any online classes
Nyce prof gud work
Thank you. Keep up with the physics.
Cheers,
Dr. A
Thank you so much!
sir i am from india.
how did you provide a quality education for free...
in india education is just a buisness.
Hello to India from San Diego! I get lots of comments from your country. I think it's wonderful.
I had no idea my little physics channel would take off like this. Originally I was just posting these for my local students. But the power of the internet has surprised me yet again.
Cheers,
Dr. A
Indian here
You just start making videos for indian iit jee.and just see your channel reaching new heights
Thank you!
Very good sir
Thanks for the comments.
Cheers,
Dr. A
very nyc sir
nyc? I'm from San Diego.
Cheers,
Dr. A
thanks governor
really helpful vid, thanks a lot!
awesome I understand it quickly 😙😙😙😙
Excellent. Teach your friends, it will lock it into your brain.
Cheers,
Dr. A