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!!

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!!

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TopNewestIf 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 · 5 months ago

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– Abhi Kumbale · 5 months ago

If we assume there is no damping can we apply it then?Log in to reply

– Josh Silverman Staff · 5 months ago

As long as the flow isn't steady Bernoulli's equation isn't valid.Log in to reply

– Abhi Kumbale · 5 months ago

Got it. Thanks.Log in to reply

https://youtu.be/-6vl8HWo3tY?t=1865 – Josh Silverman Staff · 5 months ago

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– Abhi Kumbale · 5 months ago

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– Swagat Panda · 5 months ago

Now, it is okay. Is it necessary to use Bernoulli's theorem? you can prove much more easily without using that.Log in to reply

– Abhi Kumbale · 5 months ago

I know how to prove without it. I wanted a proof using Bernoulli's theorem which makes this more interesting.Log in to reply

– Swagat Panda · 5 months ago

Okay, then I think I should delete this comment. Because it is not the required answer. :)Log in to reply

@Josh Silverman @Aniket Sanghi @Deepanshu Gupta @Nishant Rai @Rohith M.Athreya @Swapnil Das – Abhi Kumbale · 5 months ago

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