Physics: Fluid Dynamics: Fluid Flow (1.6 of 7) Bernoulli's Equation Derived

In this video I will show you how to use Bernoulli's equation to find the pressure and velocity of a fluid in a pipe of various diameters.

Next video in this series can be seen at:

[saeedullahyasinzai]

Believe me I studied this topic in my civil Engineering graduation in 1983- 87, I felt that I am in my class room of subject Fluid Mechanics . Wonderful Sir, you are amazing .

[Max-jszr]

sir you have been there for me for at least 3 years now. amazing

[alliswell]

I'm on military service so reviewing mechanics to prepare for going back to my school I appreciate your detailed explanation sir greetings from korea

[jacklyngarcia]

I just started watching your videos and I just wanted to say thank you so much. Your videos are the most helpful on youtube and I am so glad you have created this channel!

[eamon_concannon]

The initial configuration considers the fluid between left end of tube and beginning of the region of small length X2 . The final configuration has the same fluid between the end of region X1 and right end of tube. The total energy of the bulk of the fluid between both regions does not change during the time dt (= X1/v1=X2/v2) the fluid takes to enter region X2 and leave region X1.
The work done by the contact (fluid) forces f1 and f2 at both ends of the fluid during the motion is f1X1-f2X2.
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.

[Mrkabalak]

These videos are really help me understand about bernoulli's equation. Your explanation is perfect. THANK YOU

[adityaanshul]

Thank you so much. Your explanation is excellent. Excellent enough to make a 9th grader like me to understand such a complex thing.

[stevenwilson]

Such a simpler and more straight-forward derivation than those in most texts. Thanks!

[RedditInk]

Brilliant video, I have a test tomorrow and I've already seen 2 videos before this on how to derive it- this is hands down the best video to study Bernouli's equation from! Earned a subscriber.

[sam]

This guy is serious stuff. I wish i could learn from him more with more depth

[itahaic_]

Wasn't taught any of this in university, thanks for the video!

[zoegrasa]

Thank you sir, this has been helpful with my Biofluid Mechanics modules in BioME 💥💥🇲🇼

[noelwass]

This video and explanation is a joy to watch.

[surendrasurya]

thank you sir thank you so much. I can understand it clearly.now I can answer it in my semester exam once again thank you sir.

[JoliliKalili]

Love this video... Watching all the way from Papua New Guinea...

[himalkarkal]

Beautifully explained. I love this video.

[wilmerillescas]

Really great videos, thank you for sharing your knowledge with us.

[gelomelo]

I watched this video for the second time and it was wonderful teaching. I learnt more rather than pervious time ❤❤❤❤

[NishantMahanti]

It helps me understand why volume in both side elemeneted, thank you sir.

[hakankarakus]

I have a fluids exam tomorrow, it was a very clear explanation, thank you teacher, greetings from Turkey..