Calculate valve flow coefficient, flow rate, pressure drop or specific gravity from any three inputs in GPM, L/min, m³/h, PSI, bar or kPa.

CV Flow Calculator

Enter any 3 values to calculate the missing variable

CV Flow Formula

The calculator uses the standard liquid valve flow coefficient relationship. Flow is converted to GPM and pressure drop is converted to PSI before the formula is applied.

Q = Cv*sqrt(DeltaP / SG)
Cv = Q / sqrt(DeltaP / SG)
DeltaP = SG*Q² / Cv²
SG = Cv²*DeltaP / Q²
  • Q = flow rate, in gallons per minute after unit conversion
  • Cv = valve flow coefficient
  • DeltaP = pressure drop across the valve, in PSI after unit conversion
  • SG = specific gravity of the fluid, where water is about 1.0

To use the calculator, enter any three values and leave the unknown value blank. If you leave flow rate blank, it solves for Q. If you leave CV blank, it solves for Cv. If you leave pressure drop blank, it solves for DeltaP. If you leave specific gravity blank, it solves for SG.

Common Specific Gravity Values for CV Flow Calculations

Specific gravity affects the flow through a valve because heavier fluids require more pressure drop for the same flow and CV.

Fluid Typical specific gravity
Water 1.00
Gasoline 0.70 to 0.78
Diesel fuel 0.82 to 0.86
Kerosene 0.78 to 0.82
Ethylene glycol 1.10 to 1.12
Seawater About 1.025

How to Read CV Flow Results

Result type What it means
Higher CV The valve can pass more flow for the same pressure drop and fluid specific gravity.
Lower CV The valve is more restrictive and needs more pressure drop to pass the same flow.
Higher specific gravity A denser fluid reduces flow for the same CV and pressure drop.
Higher pressure drop Flow increases with the square root of pressure drop, not in direct proportion.

Example CV Flow Calculations

Example 1: Calculate CV

You have a flow rate of 50 GPM, a pressure drop of 10 PSI, and a fluid specific gravity of 1.00.

Cv = Q / sqrt(DeltaP / SG)
Cv = 50 / sqrt(10 / 1)
Cv = 15.8114

The required flow coefficient is 15.8114 CV.

Example 2: Calculate Pressure Drop

You have a flow rate of 20 GPM, a CV of 12, and a fluid specific gravity of 0.85.

DeltaP = SG*Q² / Cv²
DeltaP = 0.85*20² / 12²
DeltaP = 2.3611 psi

The pressure drop is 2.3611 PSI.

FAQ

What does CV mean in flow calculations?

CV is the valve flow coefficient. For liquids, it represents the amount of water in gallons per minute that can pass through a valve with a 1 PSI pressure drop at about 60°F. A larger CV means the valve can pass more flow with less restriction.

Can this formula be used for gases or steam?

This calculator is for liquid flow using the standard incompressible flow CV equation. Gas, air, and steam sizing require different equations because compressibility, temperature, pressure ratio, and choking can affect the result.

Why does specific gravity change the CV result?

Specific gravity compares a fluid’s density to water. A fluid with a higher specific gravity is denser, so it needs more pressure drop to move through the same valve at the same flow rate. If all other values stay the same, a higher specific gravity increases the required CV.