People,
Following the discussion I noted a few issues. First, never, ever, put an RO downstream of a PSV! Never, got it. There should be nothing downstream of a PSV except a nozzle leading into a vent tank.
I've heard all the arguements about an RO downstream of a control valve to act as a silencer. Obviously, this is only true in dry gas service. You would not want an orifice plate where it accumulate condensed liquid quickly, even if you had a weep hole at the bottom.
The only practical reason for having an RO is to restrict the flow of the CV; as a prevention to full throttle or to keep the flow within a certain range. It does not make much sense to throttle the valve Cv (Cv vs % open) since you want the valve at the controllable range (25-50% for a ball or butterfly and 15-30% for a globe). By adding an RO you might force the valve to operate out of effective control maybe like 75% or above. So, having an RO in-line complicates control significantly. Flow restriction seems the only practical reason.
I've attached a useful program for ROs and FEs. Remember, some of the pressure is recovered. There's a handy relationship in the ASME report on orifices for calculating loss against Beta (Do/Dpipe ID).
Also, Cunningham revealed back in the 1950's that supersonic flow is possible through an orifice if the plate is thin. If it is thick, based on the ratio of the plate to the orifice diameter, then the flow is restricted to a mach number of 1. If you dig into a Mechanical Engineering textbook on flow you will find more discussion sonic and supersonic flow.
Good luck,
Dirk Willard