The acceleration of a bubble in water

Click For Summary
SUMMARY

The initial acceleration of a bubble in water is definitively 2g, where g represents gravitational acceleration. This conclusion is supported by Problem 52 in the document found at this link, which assumes negligible viscosity in the liquid. The discussion highlights the importance of understanding the underlying physics, particularly the dynamics of fluid motion around the bubble. Additional insights can be found in section 2 of the same document, which provides a derivation of the 2g acceleration.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Basic knowledge of gravitational acceleration (g)
  • Familiarity with the concept of bubble dynamics in fluids
  • Ability to interpret scientific literature and equations
NEXT STEPS
  • Study the derivation of bubble acceleration in fluid dynamics
  • Review Problem 52 in the document at this link
  • Explore section 5.10 of the Caltech document at this link for additional insights
  • Learn about the effects of viscosity on bubble dynamics in fluids
USEFUL FOR

Students and researchers in physics, particularly those focused on fluid dynamics, as well as engineers working with bubble behavior in liquids.

Istvan01
Messages
17
Reaction score
0
Hi,

I have a question about a rising bubble.
I read that the initial acceleration of a bubble (with negligible mass) in water is 2g, where g is the gravitational acceleration. I understand that if a bubble rise then the water move around it, but I can't derive this equation.
Could someone help me out?
 
Physics news on Phys.org
I see no reasonable argument for this statement.
What is your reference and what does it say to justify such a claim ?
 
Istvan01 said:
I read that ...

This requires a clear reference to the source.

Zz.
 
Looking at the pdf file, the problem 52 seems to assume that the liquid has no viscosity, which isn't true in general.
 
I did find a 2g here but don't see an explanation. And here it gets worse: 3.3 g ! But they do show how the 2g comes about in section 2 (of course :smile:). So your derivation is available.

Must admit I learned to be a bit more open-minded: at first I didn't believe more than g is physically possible...

This one below ? I don't see it. But then again: you say the answer is 2. So: follow the steps and see where you end up
Help us help you and post your working ...

upload_2018-6-26_17-57-58.png
 

Attachments

  • upload_2018-6-26_17-57-58.png
    upload_2018-6-26_17-57-58.png
    52.8 KB · Views: 611
Thanks, I'm not certain that I can understand your reference because that seems very complicated but I'll try
 

Similar threads

Undergrad Vertical acceleration of the water bubbles in a kettle?
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Why is boiling water bubbling?
  • · Replies 41 ·
2
Replies
41
Views
6K
Undergrad Bubbles travelling through viscous liquids
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How can visible gas bubbles remain intact inside frozen water?
  • · Replies 8 ·
Replies
8
Views
1K
Undergrad Increase in rising air bubble's terminal velocity
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Bubble dynamics over a liquid surface
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Why do bubbles of air in water move up?
  • · Replies 13 ·
Replies
13
Views
7K
Graduate How does water rise along a glass plate? (surface tension question)
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Use a level to test the Earth's curvature?
  • · Replies 12 ·
Replies
12
Views
4K
High School A question about warp bubbles and navigation
  • · Replies 22 ·
Replies
22
Views
1K