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Calcimator

Pneumatic Valve Sizing Calculator

Calculate required valve Cv/Kv flow coefficient for pneumatic systems with sub-critical and critical (choked) flow analysis.

About this calculator

Sizing a pneumatic valve means finding the flow coefficient (Cv) it needs so it doesn't become the bottleneck in the air circuit — and because air is compressible, that calculation splits into two different regimes depending on how much the pressure drops across the valve. This calculator checks the outlet-to-inlet absolute pressure ratio against the critical ratio for air (0.528): if the ratio falls at or below that threshold, flow is choked (sonic) at the vena contracta and downstream pressure stops mattering to the flow rate, so a simplified critical-flow formula (Cv = SCFM × √(SG×T/520) / (0.471 × P1_abs)) is used. Above that threshold, flow is sub-critical and the calculator falls back to an ISA/IEC-style formula that factors in both the pressure drop and the average absolute pressure across the valve. Both formulas correct for the actual gas's specific gravity and absolute temperature (in Rankine) relative to standard air at 60°F.

A sizing safety factor (25% by default) is applied on top of the raw calculated Cv, and the result is then rounded up to the nearest common commercial Cv size rather than left as a precise decimal, since you buy off a manufacturer's catalog, not a custom orifice. Kv (the metric equivalent) is simply Cv × 0.865. The equivalent orifice diameter and suggested NPT port size are rough sizing aids derived from the selected Cv, useful for a first-pass port selection — always verify against the specific valve manufacturer's rated Cv and port combination, since actual valve geometry affects the relationship in ways this simplified model doesn't capture.

Inputs

°F
%

Results

Selected valve Cv

0.1

Calculated Cv (exact)0.02
Cv with safety factor0.03
Required Kv (metric)0.02
Selected valve max flow (SCFM)85.7
Flow regime (1=subsonic, 2=choked)1
Equivalent orifice (in)0.08
Suggested port size (NPT in)0.13
Kv With Safety0.03
How to Use This Calculator
  1. Enter Required flow (SCFM), Inlet pressure (PSIG), and Outlet pressure (PSIG).
  2. Set Air temperature (°F), Gas specific gravity, and Sizing safety factor.
  3. Review the Selected valve Cv result.
  4. Use Calculated Cv (exact) and Cv with safety factor to inform your decision.

What each input means

Required flow (SCFM)
Standard cubic feet per minute of air required.
Inlet pressure (PSIG)
Gauge pressure at the valve inlet.
Outlet pressure (PSIG)
Gauge pressure at the valve outlet.
Air temperature (°F)
Air temperature at the valve.
Gas specific gravity
Specific gravity relative to air (air = 1.0, nitrogen = 0.97).
Sizing safety factor
Extra Cv capacity for margin (25% typical).

What each result means

Selected valve Cv
Next standard Cv size that meets requirements with safety factor.
Calculated Cv (exact)
Minimum Cv from flow conditions (before safety factor).
Cv with safety factor
Required Cv including sizing safety margin.
Required Kv (metric)
Flow coefficient in metric units (Kv = Cv × 0.865).
Selected valve max flow (SCFM)
Maximum SCFM capacity of the selected valve.
Flow regime (1=subsonic, 2=choked)
1 = sub-critical (normal), 2 = critical/choked flow.
Equivalent orifice (in)
Equivalent sharp-edge orifice diameter for the selected Cv.
Suggested port size (NPT in)
Recommended NPT port size for the selected Cv.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Required flow (SCFM) = 20, Inlet pressure (PSIG) = 90, Outlet pressure (PSIG) = 75, Air temperature (°F) = 70 = 6 input(s) provided
  2. Calculate Selected valve Cv
    Selected valve Cv
    0.1 = 0.1
  3. Calculate Calculated Cv
    Calculated Cv
    0.023 = 0.023
  4. Calculate Cv with safety factor
    Cv with safety factor = cvRequired * safetyFactor
    0.029 = 0.029

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

What determines whether my valve is sized using the critical (choked) flow formula or the sub-critical one?

The calculator divides outlet absolute pressure by inlet absolute pressure and compares that ratio to 0.528, the critical pressure ratio for air. If the ratio is at or below 0.528 — meaning the pressure drop is large relative to inlet pressure — flow is choked and the simplified critical-flow formula is used; above that threshold, the calculator switches to the sub-critical ISA/IEC-style formula that also factors in the average absolute pressure across the valve.

Why does the Selected Cv output round up to an odd-looking number like 1.2 or 6.3 instead of my exact calculated value?

After computing the exact required Cv (with the safety factor applied), the calculator searches a list of common commercial Cv sizes and picks the smallest one that meets or exceeds it, since valves are sold in standard catalog sizes rather than custom orifices. If your required Cv exceeds every value on that list, it falls back to rounding up to the next multiple of 10.

Why does increasing gas temperature or switching to a lighter gas change the required Cv?

Both critical and sub-critical Cv formulas include a factor of √(specific gravity × absolute temperature in Rankine / 520), which corrects the sizing away from the standard reference condition of air at 60°F. A lighter gas (lower specific gravity) or cooler operating temperature reduces the required Cv for the same SCFM, since the gas is denser and easier for the valve to pass at a given pressure drop.

What is the Sizing Safety Factor doing to my result, and should I lower it?

The 25% default adds proportional margin on top of the exact calculated Cv before the calculator rounds up to a standard valve size, guarding against underestimated flow, future capacity increases, or valve wear over time. Lowering it saves cost by allowing a smaller valve to qualify, but it also shrinks the margin against choked or restricted flow if actual demand runs higher than expected — 25% is a common industry default, not a fixed requirement.

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