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Bubble Volume analytical calculation

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Old   June 25, 2018, 13:59
Post Bubble Volume analytical calculation
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Hello,

I am simulating bubble formation from a needle in a water column. I searched papers regarding the bubble volume calculation that is formed in a column analytically. All I got is calculation via high speed cameras like articles from "H Y Wang and F Dong 2009".

Can someone help me how can I calculate the bubble volume analytically.
Knowns are: Air inlet from the needle, diameter of the needle, water upward velocity, column outlet conditions are atmospheric.

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