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Gas Flow Pressure and Temperature Compensation

Correct a DP flow meter reading for gas when the line pressure, temperature or compressibility differ from the values used to size the meter.

DP metersPressure correctionTemperature correctionCompressibility Z
Nm³/h or kg/h
°C
Z
°C
Z
Compensated mass or standard flow890.38
Compensation factor0.8904
Error without compensation+12.3 %
Actual volume flow factor1.1231
How this result was calculated
  1. F = √[(Pact ÷ Pdes) × (Tdes ÷ Tact) × (Zdes ÷ Zact)] = 0.8904
  2. Absolute values: T in K, P absolute
  3. Qcomp = 1,000 × 0.8904 = 890.38
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Compensation Formula

Mass or standard flow: Qcomp = Qread × √[(Pact ÷ Pdes) × (Tdes ÷ Tact) × (Zdes ÷ Zact)]
Actual volume flow: factor = √[(Pdes ÷ Pact) × (Tact ÷ Tdes) × (Zact ÷ Zdes)]

For a DP meter qm ∝ √(ΔP × ρ) and gas density ρ ∝ P ÷ (Z × T). The reading assumes design density, so the square root of the density ratio corrects it. Use absolute pressure and temperature in kelvin. This corrects density only; it does not change the discharge coefficient or expansibility.

Worked example

A gas meter designed for 6 bar a and 20 °C reads 1000 Nm³/h while the line runs at 5 bar a and 35 °C: compensated flow = 1000 × √(5/6 × 293.15/308.15) = 890 Nm³/h. Without compensation it reads 12.3 % high.

Key insight: pressure matters most: a 10 % drop in line pressure gives about a 5 % flow error on an uncompensated DP gas meter. Most DCS and flow computers apply this correction live from pressure and temperature transmitters.
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Frequently Asked Questions

Why do gas DP flow meters need compensation?

Gas density changes with pressure and temperature. The meter equation uses a fixed design density, so the reading drifts when conditions change.

Do liquids need pressure compensation?

Rarely. Liquid density hardly changes with pressure; temperature compensation is used only where density changes noticeably, such as hydrocarbons.

Why use absolute pressure and temperature?

Gas density is proportional to absolute pressure and inversely to absolute temperature. Gauge pressure or °C would give wrong ratios.

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