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Cv flow calculator

Size a valve for nonflashing incompressible liquid flow. Cv retains its US gallon-per-minute and psi definition while the input defaults use SI units.

Calculator

Valve flow coefficient Cv (US convention)
13.16126435
Liquid flow rate
0.001
Pressure drop
10,000
Liquid specific gravity
1.00000000

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How this calculator works

Cv describes the US gallons per minute of water passing a valve at a one psi pressure drop under its reference conditions. Correct another liquid using its specific gravity relative to water. Enter an actual measured value for your liquid: product names alone do not fix density. The simple relation excludes cavitation, flashing, choking, viscosity correction and gas compressibility. Both endpoint pressures must use the same gauge or absolute reference.

Formula

Q_USgpm = Cv sqrt(delta p_psi/SG); Cv = Q_USgpm sqrt(SG/delta p_psi). SI conversion: 1 US gal/min = 0.0000630901964 m3/s and 1 psi = 6894.757293168 Pa.

Worked example

A Cv of 10 with water (SG = 1) and a one psi drop passes 10 US gal/min, or 0.000630901964 m3/s. A four psi drop passes 20 US gal/min.

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Frequently asked questions

Is Cv the same as Kv?

No. Kv uses m3/h and bar. Use the differential-pressure calculator when your flow factor follows that convention.

Can I use this for steam or air?

No. Compressible-flow sizing requires additional pressure, temperature and choking relations.

Can inlet pressure be gauge pressure?

Yes, if outlet pressure uses the same reference and you only need the difference. Cavitation checks require absolute pressures and are outside this model.

Sources

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