Cv Flow Calculator

Calculate liquid flow rate, required Cv, or pressure drop using Q = Cv√(ΔP/SG). Quick Cv sizing for valves, fittings, and regulators.

Cv
10.00
Kv = 8.65
Flow Rate
22.36 gpm
84.6 L/min
Flow (m³/h)
5.079
1.411 L/s
Pressure Drop
5.00 psi
0.345 bar
Specific Gravity
1.000
SG relative to water
Kv (metric)
8.65
m³/h @ 1 bar, SG 1

Flow Rate by Cv (at ΔP = 5.0 psi)

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2
5
10
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500
Cv
CvKvQ (gpm)Q (L/min)
10.92.28
21.74.517
54.311.242
108.722.485
2017.344.7169
5043.3111.8423
10086.5223.6846
200173.0447.21,693
500432.51,118.04,232
Planning notes, formulas, and examples

About the Cv Flow Calculator

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.

When This Page Helps

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.

How to Use the Inputs

  1. Choose what to solve for: flow rate (Q), required Cv, or pressure drop (ΔP).
  2. Select the fluid or enter a custom specific gravity.
  3. Enter the two known values with their units.
  4. Click a Cv preset for common valve sizes.
  5. Read the result along with unit conversions and the Cv/Kv equivalent.
  6. Use the Cv comparison table to evaluate different valve sizes.
Formula used
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)

Example Calculation

Result: Q = 22.4 gpm (84.7 L/min)

Q = 10 × √(5/1.0) = 10 × 2.236 = 22.36 gpm ≈ 84.7 L/min.

Tips & Best Practices

  • For control valves, size so that the valve operates between 20–80% open at normal load.
  • Always check for cavitation: if downstream pressure drops below vapor pressure, the valve will cavitate.
  • For viscous fluids, apply a viscosity correction factor per ISA/IEC standards.
  • Cv scales roughly with d² (bore area), so doubling the pipe size roughly quadruples the Cv.
  • The square-root relationship means a 4:1 flow turndown requires a 16:1 ΔP range.

Practical Guidance

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.

Common Pitfalls

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.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • 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.