Cv Flow Calculator
Estimate liquid valve flow coefficient, pipe velocity, Reynolds number, and flow regime.
About valve flow coefficient
Cv is a standardized measure of a valve's liquid-flow capacity. One Cv represents the capacity to pass one US gallon of water per minute with a pressure drop of one psi under the reference conditions used by the customary equation. For liquids without a viscosity correction, Cv = Q × √(SG/ΔP), where Q is flow in US gallons per minute, SG is specific gravity relative to water, and ΔP is pressure drop in psi. This calculator obtains specific gravity by dividing the entered density in pounds per cubic foot by 62.4. A larger Cv means that a valve can pass more liquid at a given pressure drop. Doubling flow while holding pressure drop and density constant doubles the required Cv. Increasing pressure drop by a factor of four halves the required Cv, while a denser liquid needs a higher Cv than water at the same flow and drop. Valve manufacturers publish rated Cv values by opening position, so the calculated requirement can be compared with an appropriate operating point rather than merely the fully open rating. The additional pipe inputs provide useful context. Flow rate and inside diameter determine average pipe velocity after gallons per minute are converted to cubic feet per second. Density, velocity, diameter, and dynamic viscosity determine Reynolds number. Values below about 2,300 are labeled laminar, values from 2,300 to below 4,000 transitional, and larger values turbulent. Temperature is recorded because density and viscosity should correspond to the same operating temperature, although it does not independently alter the Cv equation once those fluid properties are supplied. This calculation is intended for single-phase, incompressible liquid flow. Gas, steam, flashing, cavitating, or choked service requires different sizing equations and additional thermodynamic data. Very viscous liquids can also require a Reynolds-number correction to the preliminary Cv. Fittings, reducers, and nonstandard installation geometry may change the effective pressure loss and the valve correction factors required by recognized sizing standards. Use actual operating flow, valve pressure drop rather than total system pressure, and fluid properties at operating temperature. Pipe diameter means inside diameter, not nominal size. The result is an engineering estimate for screening and comparison; final valve selection should follow the manufacturer's sizing procedure, rangeability limits, noise and cavitation checks, material compatibility, and applicable process-safety requirements.
Cv flow examples
These liquid cases apply the standard non-viscous Cv relationship.
| Operating inputs | Required Cv | Application |
|---|---|---|
| 100 gpm water, 10 psi drop | 31.623 | Typical water control-valve estimate. |
| 50 gpm, SG 0.8, 25 psi drop | 8.944 | A lighter hydraulic oil. |
| 200 gpm, SG 1.2, 16 psi drop | 54.772 | A dense process solution. |
How to calculate Cv
- Enter the required liquid flow in US gallons per minute.
- Enter the pressure drop assigned to the valve in psi.
- Supply density, temperature, and dynamic viscosity for the operating fluid.
- Enter the pipe inside diameter in inches.
- Select Calculate and compare the required Cv with manufacturer data.
Frequently asked questions
What does a Cv value represent?
Cv describes valve flow capacity in a standardized US customary form. A greater value indicates more liquid flow for the same density and pressure drop.
Should I use system pressure or valve pressure drop?
Use the pressure difference directly across the valve at the design flow. Total upstream pressure alone does not describe the energy consumed by the valve.
Can this equation size a gas or steam valve?
No, compressible fluids require equations that include absolute pressure, temperature, expansion, and possible choking. Use a recognized gas or steam sizing method.
Why are viscosity and Reynolds number shown?
High viscosity or low Reynolds number can reduce effective valve capacity. The displayed Reynolds number alerts you when a simple turbulent-liquid Cv estimate may need correction.
Does nominal pipe size equal inside diameter?
Not necessarily, because schedule and wall thickness change the actual bore. Use the pipe's real inside diameter for velocity and Reynolds-number calculations.