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
2 years, 6 months ago

No vote yet
1 vote

</code>...<code></code> ... <code>.">   Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in </span>...<span></span> ... <span> or </span>...<span></span> ... <span> to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

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 - 2 years, 6 months ago

Log in to reply

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

Abhi Kumbale - 2 years, 6 months ago

Log in to reply

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

Josh Silverman Staff - 2 years, 6 months ago

Log in to reply

@Josh Silverman Got it. Thanks.

Abhi Kumbale - 2 years, 6 months ago

Log in to reply

@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 - 2 years, 6 months ago

Log in to reply

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

Abhi Kumbale - 2 years, 6 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...