M15.3. Control Valves

The relationship for flow through a valve is

Equation M15.15

where F is the volumetric flow rate, Cv is the valve coefficient, x is the fraction of valve opening, ΔPv is the pressure drop across the valve, s.g. is the specific gravity of the fluid, and f(x) is the flow characteristic.

Three common valve characteristics are linear, equal-percentage, and quick-opening. For a linear valve,

Equation M15.16

For an equal-percentage valve,

Equation M15.17

For a quick-opening valve

Equation M15.18

The three characteristics are ...

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