I am designing a rotary valve which works between Ph=22 bar and Pl=8 bar. The valve is to be placed between helium compressor(Ph=22 bar and Pl=8 bar) and pulse tube system. My aim is to provide sinusoidal pressure variation by rotary valve to the pulse tube system.
The working gas is helium and its process index is 1.66. The differential pressure across the valve is 3 (22 bar/8bar) which is greater than critical pressure ratio of 2.049 for helium gas to become 'choked'.
Now my question is how I follow the design procedure for designing a rotary valve which is having a stator with proper hole in it and a rotor which corresponding hole to vary the pressure across the pulse tube and compressor.
Which equations do I use to calculate mass flow rate through rotary valve? Do I use different equations for mass flow rate when there will be a 'choked' and 'non choked flow'?
What are the different factors do I consider for this design?