Modeling pressurized air tank emptying into a chamber at lower pressure

[shishir.gupta]

Hi.. I am working on a project where I need pressurized air from one tank to fill another chamber at lower pressure. I have values for input pressure, required final pressure and diameter of the short flow pipe. I understand that the density and flow rate of air will keep on changing as the pressure in the inlet tank reduces due to flow. I was wondering how can I convert this into a mathematical model to get the desired time and optimize from thereon. Any help is much appreciated.

Thank you

 

[Svein]

I always use electrical analogies. Pressure ↔ Voltage, flow ↔ current, pipe ↔ resistor and tank ↔ capacitor.