Maximum hole diameter to prevent water leakage

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SUMMARY

The discussion centers on determining the maximum hole diameter in a bottle submerged in water to prevent leakage at various depths. Key parameters include the pressure exerted by the water column and the surface tension of water, which is approximately 72 mN/m at room temperature. The relationship between hole size and water pressure must be calculated to ensure that surface tension can counteract the water's tendency to enter the bottle. Understanding these principles is crucial for accurately predicting the hole size needed to prevent water ingress.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of surface tension and its effects on liquids
  • Basic mathematical skills for pressure calculations
  • Familiarity with the concept of hydrostatic pressure
NEXT STEPS
  • Research the relationship between hole diameter and hydrostatic pressure
  • Study the effects of surface tension on liquid behavior in confined spaces
  • Learn about fluid mechanics equations relevant to pressure and surface tension
  • Explore practical applications of these principles in engineering and design
USEFUL FOR

This discussion is beneficial for engineers, physicists, and students studying fluid mechanics, as well as anyone interested in practical applications of pressure and surface tension in real-world scenarios.

danex
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TL;DR
I have a empty bottle and immersed it into the water, where the pressure inside the bottle is equal to air pressure. If I want to make a hole on the bottle, how big is the hole to prevent the water leak into the bottle at different depth?
I have a empty bottle and immersed it into the water, where the pressure inside the bottle is equal to air pressure. If I want to make a hole on the bottle, how big is the hole to prevent the water leak into the bottle at different depth?
what kind of parameter is involve in this phenomena? can some one help me to calculate?
or maybe you can give me a book reference to solve it.
 
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danex said:
Summary:: I have a empty bottle and immersed it into the water, where the pressure inside the bottle is equal to air pressure. If I want to make a hole on the bottle, how big is the hole to prevent the water leak into the bottle at different depth?

I have a empty bottle and immersed it into the water, where the pressure inside the bottle is equal to air pressure. If I want to make a hole on the bottle, how big is the hole to prevent the water leak into the bottle at different depth?
what kind of parameter is involve in this phenomena? can some one help me to calculate?
or maybe you can give me a book reference to solve it.
What effect are you talking about here?

At a guess, you are talking about surface tension. So you want a hole on the top or bottom of the bottle where the water under pressure corresponding to its depth is restrained by surface tension from dripping into the interior of the bottle.

Google says: "The surface tension of water is about 72 mN/m at room temperature"

Can you put that together with the dimensions of a circular hole to arrive at a figure for pressure?
 

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