Valve Flow Coefficient (Cv)

Also known as Cv · valve sizing

Q=CvΔPSGQ = C_v \sqrt{\frac{\Delta P}{SG}}
gpm/√psi
sig figs

Worked example: 100 gpm of 1.1 SG glycol at 1 bar → required Cv = 27.54. Press Try an example to run it live, then adjust anything.

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Where Valve Flow Coefficient (Cv) fits

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See also

Valve Flow Coefficient (Kv, metric): Both use flow rate and pressure drop.Euler Number (Pressure against Inertia): Both use pressure drop.Poiseuille's Law: Both use pressure drop.
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Valve Flow Coefficient (Cv) explained

ΔPQCvSG

Cv is a valve's capacity expressed as a single number: the US gallons per minute of 60 °F water that flow through it, wide open, at exactly 1 psi of pressure drop. Because loss goes as velocity squared, flow scales as the square root of the drop, so a Cv 25 valve passes 25 × √4 = 50 gpm at 4 psi. Run the equation the other way to size a valve: the required Cv for 100 gpm of 1.1 SG glycol at a 1 bar (14.5 psi) design drop is 100/√(14.5/1.1) ≈ 27.5, so you pick the next standard size up.

The single biggest control-valve error is sizing for full flow at minimum drop. A control valve only controls if it owns a meaningful share of the circuit's pressure: typically 25–50% of the variable loss at design flow. Size it for the tiny drop the pump has left over and the valve becomes a hole in the pipe: it does its entire job in the first 10% of travel, hunts, and wears out its trim in a season. Note also that Cv assumes non-flashing liquid; at high drops choked flow caps the capacity no matter how much more ΔP you apply.

Valve Flow Coefficient (Cv) formula

Q=CvΔPSGQ = C_v \sqrt{\frac{\Delta P}{SG}}
Where
  • QQ= Flow rate (L/min)
  • CvC_v= Flow coefficient (US) (gpm/√psi)
  • ΔP\Delta P= Pressure drop (kPa)
  • SGSG= Specific gravity
Revised 31 October 2026
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formula.expert. (2026, October 31). Valve Flow Coefficient (Cv) Formula & Calculator. https://formula.expert/solvers/valve-flow-coefficient-cv