Calculate liquid flow rate, required Cv, or pressure drop using Q = Cv√(ΔP/SG). Quick Cv sizing for valves, fittings, and regulators.
The Cv (flow coefficient) equation Q = Cv √(ΔP / SG) is the industry-standard formula for sizing valves, fittings, regulators, and any flow element for liquid service. This simple yet powerful relationship links four key variables: flow rate, valve capacity, pressure drop, and fluid specific gravity.
Given any two of the three unknowns, you can solve for the third. Need to know how much flow a Cv-10 valve passes at 5 psi drop? Solve for Q. Need to size a new valve for a given flow and system ΔP? Solve for Cv. Need to predict the pressure drop at a known flow? Solve for ΔP.
This calculator supports all three solve modes, handles multiple flow and pressure units, converts between Cv (imperial) and Kv (metric), and includes presets for typical valve sizes. The Cv comparison table lets you see at a glance how different valves perform at the same ΔP.
Use this calculator when you need a quick liquid-service sizing check for a valve, regulator, or fitting without rebuilding the Cv equation from scratch.
It is useful for process design, skid reviews, HVAC hydronics, and troubleshooting whether a chosen Cv is causing too much pressure drop or not enough flow.
Q = Cv × √(ΔP / SG) Where: • Q = flow rate (US gallons per minute) • Cv = flow coefficient (gpm at 1 psi, SG = 1) • ΔP = pressure drop (psi) • SG = specific gravity of the liquid (water = 1.0) • Kv = 0.865 × Cv (metric: m³/h at 1 bar)
Result: Q = 22.4 gpm (84.7 L/min)
Q = 10 × √(5/1.0) = 10 × 2.236 = 22.36 gpm ≈ 84.7 L/min.
Cv is best used as a first-pass capacity measure for liquid flow elements. It makes comparison easy because different valves, regulators, strainers, and fittings can all be reduced to the same relationship between flow, pressure drop, and fluid specific gravity. That makes it a strong screening tool when you need to compare several candidate components against the same operating point.
The most common mistake is applying the liquid formula to gases or flashing service. Another is forgetting that published Cv values are often for the fully open valve. If throttling, cavitation, viscosity effects, or control-valve trim matter, treat the result as a screening number rather than the final design case.
Cv is the number of US GPM of water at 60°F that flows through a valve with exactly 1 psi pressure drop. A higher Cv means a larger flow capacity.
Kv = 0.865 × Cv. Kv represents m³/h of water at 1 bar ΔP. European manufacturers typically publish Kv; American manufacturers publish Cv.
Gas Cv calculations are different because gases are compressible. For gases, the formula involves inlet pressure, temperature, molecular weight, and a critical pressure ratio check. This calculator covers liquids only.
Each fitting has its own Cv. For elements in series, the combined Cv follows 1/Cv² = 1/Cv₁² + 1/Cv₂² + ... (similar to parallel resistors but with squares).
Use the blended specific gravity of the mixture. For slurries, also consider the Cv de-rating from increased viscosity and suspended solids.
Yes. Published Cv is for the fully open valve. At partial opening, Cv is lower. Manufacturers provide Cv vs. % open curves (inherent characteristics) for control valves.