Determining Control Valve Cv
I am designing a 1", quarter-turn ball control valve and in need of some overall guidance.
The inlet and outlet seat trims are modified with a pattern of holes intended to help reduce flow. The valve is required to pass water at a flow rate of 19 gpm, with inlet pressures ranging from 750 psig to 350 psig, while maintaining an outlet pressure of at least 150 psig.
Plugging this data into Cv = q (SG / dp)1/2, tells me that my valve must have a Cv ranging from .77 to 1.34.
My unknown is obviously pressure drop, as unless a prototype is produced and tested, the resultant p.out from the inlet pressure range is unknown.
How do I go about determining what the pressure drop will be at differing degrees of valve travel without a flow test/ CFD software?
I have been studying ANSI/ISA-75.01.01 and it seems as if these equations are geared towards globe and butterfly valves.
I am not an expert in this area but I see you haven't received answers so I add a note, if I understand your design (which I do not comment) where pressure drop is produced mainly when fluid pass through calibrated holes I would start estimating the individual flow (and cv) on each hole (for example considering a hole as a micropipe or a orifice) then the total flow (or cv) would be the sum of flows in working holes.
The inlet of the valve is 1" in diameter. The seat trim pieces have
a pattern of various diameter holes, so when the valve is cycled and
the ball is turned to a certain position, only certain diameter holes
are exposed to flow.
If a flow rate of 19 gpm is fed into the 1"
inlet bore, that flow rate will remain constant as it enters and exits
the smaller holes in the seat trim, granted the upstream pressure is
enough to maintain it, correct?
The velocity of the fluid as it
goes through those holes will have to increase, however, from what it is
traveling at through the 1" bore. The problem I am faced with deals
with a velocity limitation for the material of the seat trim
(titanium). Velocity must remain under 120 ft/s.
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