I want to calculate the radius of a hole from the leak rate. I have come across Poiseuille's law which includes the radius of pipe/hole. Is it possible to equate the radius of the hole from the volume leak rate over time? Ultimately I am trying to calculate the hole size in an aerosol can that leaks 2.0 x 10^-3 mbar.l.s^-1. The pressure inside the can ideally being 4 bar. With Poiseuille's law I noted that it requires the pressure difference of inside the container and the the outside as p1 and p2 which I have. p2 being atmospheric pressure.
If it is possible I can create a simple function with python to change the variables volume, time and viscosity. Any help is greatly appreciated. If I have not explained something correctly please let me know and I can edit the post.