Dimensionless Analysis on the Characteristics of Pneumatic Booster Valve with Energy Recovery

Table 1

Dimensionless parameters.

Parameters	Reference		Dimensionless
Pressure		Supply pressure
Temperature		Atmospheric temperature
Volume		Volume of drive chamber A
Sonic conductance		Sonic conductance of drive chamber A
Piston area		Piston area of drive chamber A
Mass flow rate		Flow rate under reference pressure, temperature, and sonic conductance
Velocity		Piston velocity under reference flow rate
Stroke		Piston stroke
Time		Motion time of piston under
Energy		Energy under reference pressure and volume
Air power		Air power with reference energy and time