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Fluids and Oscillations

Can anyone prove the oscillation of a fluid in a U-tube or a bent V tube is a SHM for small displacements using Bernoulli's theorem?

Help!!

Note by Abhi Kumbale
1 week, 2 days ago

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If you recall, Bernoulli's equation assumes steady state fluid flow. Since the fluid oscillating in the U-tube is changing direction, there's no steady flow. There's also damping and turbulence. Long story short, Bernoulli's equation does not apply here. Josh Silverman Staff · 1 week, 2 days ago

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@Josh Silverman If we assume there is no damping can we apply it then? Abhi Kumbale · 1 week, 1 day ago

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@Abhi Kumbale As long as the flow isn't steady Bernoulli's equation isn't valid. Josh Silverman Staff · 1 week, 1 day ago

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@Josh Silverman Got it. Thanks. Abhi Kumbale · 1 week, 1 day ago

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@Abhi Kumbale I remembered this video. Walter Lewin does a demo with the liquid as well as the calculation. (timestamp starts at the demo, calculation is a little bit before.

https://youtu.be/-6vl8HWo3tY?t=1865 Josh Silverman Staff · 1 week, 1 day ago

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@Swagat Panda ? Abhi Kumbale · 1 week, 2 days ago

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@Abhi Kumbale Now, it is okay. Is it necessary to use Bernoulli's theorem? you can prove much more easily without using that. Swagat Panda · 1 week, 2 days ago

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@Swagat Panda I know how to prove without it. I wanted a proof using Bernoulli's theorem which makes this more interesting. Abhi Kumbale · 1 week, 2 days ago

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@Abhi Kumbale Okay, then I think I should delete this comment. Because it is not the required answer. :) Swagat Panda · 1 week, 2 days ago

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@Josh Silverman @Aniket Sanghi @Deepanshu Gupta @Nishant Rai @Rohith M.Athreya @Swapnil Das Abhi Kumbale · 1 week, 2 days ago

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