Calculation for inflation time of an air bladder?

IPFWengineer

Hi,

I was curious if you could help me. I am currently working on a project where we are using 12g CO2 cylinders to fill an expanable air bladder to absorb impacts like an air bag. I am having trouble though calculating how long it would take to inflate the bladder with known variables:

-Given-
-CO2 canister pressure = 858psi
-Orfice diamerter = 0.028"
-Expanded bladder volume = 1317 in^3
-Final bladder pressure = 2psi

We are using three cylinders to inflate the bladder along with each having their own puncture pin with orfice size given.

Any help would be greatly appriciated.

Regards,
Chris