Undergrad Maximum hole diameter to prevent water leakage

[danex]

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.

 

[jbriggs444]

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?