# Estimating the minimum hole size for leakage through a sealed membrane [duplicate]

Suppose I have a thin membrane sealed onto a flat surface along its perimeter, and there is water between the two surfaces with a certain pressure $P$. I would like to know, if I made a circular hole in the membrane, what the minimum hole size (diameter $D$) would be to cause leakage of water out of the membrane. Assume that the size of hole is << than the size of membrane. What would I need to determine experimentally (e.g. surface tension) to have an approximate solution?

## marked as duplicate by John Rennie, user191954, Kyle Kanos, sammy gerbil, Jon CusterSep 11 '18 at 13:08

Ideally, you should be able to determine the minimum size of the hole using Laplace's formula, $\Delta p=\frac {2\gamma} R$, but in practice that may not work.