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?

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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.

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If we assume there is no damping can we apply it then?

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As long as the flow isn't steady Bernoulli's equation isn't valid.

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https://youtu.be/-6vl8HWo3tY?t=1865

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Comment deleted 11 months ago

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?

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

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@Josh Silverman @Aniket Sanghi @Deepanshu Gupta @Nishant Rai @Rohith M.Athreya @Swapnil Das

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