The acceleration of a bubble in water

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Discussion Overview

The discussion revolves around the initial acceleration of a bubble in water, specifically the claim that this acceleration is 2g, where g is the gravitational acceleration. Participants explore the theoretical and mathematical aspects of this phenomenon, seeking clarification and derivations related to the topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the validity of the claim that the initial acceleration of a bubble is 2g, asking for references and justification.
  • Another participant points out that the reference provided assumes the liquid has no viscosity, which may not hold true in general scenarios.
  • A different participant mentions finding a reference that states the acceleration is 2g but expresses confusion over the lack of explanation for this result.
  • There is a suggestion to follow the steps in the reference to derive the acceleration, indicating that understanding may require working through the provided material.
  • One participant expresses uncertainty about their ability to comprehend the reference due to its complexity but indicates a willingness to try.
  • Another participant offers an alternative reference that may provide additional clarity on the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the claim regarding the acceleration of the bubble. There are competing views on the validity of the 2g assertion and the assumptions made in the references provided.

Contextual Notes

Some participants highlight the assumption of negligible viscosity in the liquid, which may affect the applicability of the referenced solutions. There is also mention of varying results in different sources, contributing to the uncertainty in the discussion.

Istvan01
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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?
 
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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
 

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Thanks, I'm not certain that I can understand your reference because that seems very complicated but I'll try
 

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