Poiseuille's Law (16 tubes vs 1 tube)
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- Опубліковано 5 кві 2020
- The laminar flow rate of an incompressible fluid along a pipe is proportional to the fourth power of the pipe's radius. To test this idea, we'll show that you need sixteen tubes to pass as much water as one tube with twice their diameter.
We have two tanks of equal dimension next to each other. The first tank has a row of 16 tubes inserted near the bottom, all of equal length, and are 0.101" in diameter. The second tank has a single tube inserted with nearly twice the diameter (0.207") and equal length as the others. An equal amount of water is added to the tanks, so that the pressure difference between the ends of all 17 tubes is the same. With the fluid viscosity, pipe length, and pressure difference the same among all the tubes, the only difference is their radii.
The valves to all the tubes are opened simultaneously, and we see that the flow rates are very nearly equal--even over the course of several minutes. (The difference in water levels seen at the end of the experiment was measured to be roughly 5 percent.)
For more details on our setup, see sciencedemonstrations.fas.har...
Not sure exactly why anyone would downvote this video. It is what it is.
UA-cam releases bots to dislike videos so that their algorithm would be balanced.
It was Allen's Mom; she thought he should wear a tie.
Thank you for this demonstration. I was having a hard time understanding why radius of the pipe increasing would increase the flow rate and this visual cleared out up for me. Thanks again!
Glad it helped!
In case anyone doubted the the Radius^4 part of the Poiseuille's Law this is a beautifully simple experiment to confirm it. Some verbal explanation would make it even better though.
Excellent demonstration of a 4th power law!
Glad you liked it!
Thankyou for giving us practical example and making this setup
apparatus very nicely designed.
It is great. Please add voice explanation as well.
Thanks Sir. from India
Great introduction to the law
I was happy to have found that the second tube’s radius was twice as large, and that there are 16 tubes in the first set. I reasoned from this that the flow must depend on r^4. Shortly after watching, I made a quick google search and confirmed my hypothesis. :)
Great...( 0.1)^4 times 16 is equal to (0.2)^4
I like it
Only thing missing is to see the numbers of the actual flow rate and corresponding math.
Love this
Sir Thankx (from India)
Cool thanks
Why is it correlated with r^4?
A lot of effort to show a basic or somewhat advanced physics concept. Quite important as there are many instances of fluids flowing through pipes and hence knowledge and understanding of the Hagen-Poiseuille Law is important.
Owesome
Verbal commentary/explanation would be a welcome addition to this video.
usefull
PRESSURE - BALANCE
Can someone help me by telling me the importance of poiseuille equation in real life? I read many articles. But i prefer a very meaningful concept.
It's important in medical contexts, such as blood flow through constricted veins.
4 times due to diameter, 4 times due to viscous force. Total 16 times. Am I right?
The laminar flow rate of an incompressible fluid along a pipe is proportional to the fourth power of the pipe's radius. So no, 2 times diameter, to the power 4 is 16.
@@niemandwirklich thank you
*On its own power yes.. It will be different if you add some air pressure*
Yeah. It will be different if you do something differently...
Bigger pipe just has less friction