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DP Flow Element Sizing

Flow element, medium & units
Setup
Meter run
Process
Gas properties
Composition · mole %
My gas blendsSaved on this device; also used by Gas Pipeline Sizing
Save current composition as
Total 100 %
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FT · DP transmitter — — PT · static— TT · temperature— FLOW COMPUTER — — — — Flow → β vena contracta Pressure along the pipe
Standard flow
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Mass flow
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Actual flow
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    Energy · heating value
    Energy flow (gross)
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    Gross heating value
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    Wobbe index
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    Approximate, from the gas composition: ideal heats of combustion at 25 °C from public-domain NIST data, real-gas volume from AGA 8 at the base conditions above, dry gas. Typically within about 0.1–0.2 % of AGA 5 / GPA 2145 / ISO 6976 values. Not for invoicing.

    Calculation details
    DP transmitter · 4–20 mA table

    ΔP is proportional to flow². Linear transmitter output; the square root is taken in the flow computer or DCS. The highlighted row is the current reading.

    Flow uncertainty · 95 % confidence

    Method of AGA 3 Part 1 §1.12 (meter built to AGA 3 Part 2, no in-situ calibration). Enter your instrument accuracies.

    AGA 8 · Gas properties (DETAIL method)
    Compressibility Z
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    Density
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    Heating value (gross)
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      Z and density vs pressure (at this temperature)

      Solid: Z factor. Dashed: density. The dot is your operating point. Z falls below 1 as pressure rises (molecules attract), then climbs again at very high pressure.

      Equations used
      qm = Cd · Ev · Y · (π/4) · d² · √(2 · ρ1 · ΔP) Ev = 1 / √(1 − β⁴) β = d / D d = dr · [1 + αplate · (Tf − Tr)] D = Dr · [1 + αpipe · (Tf − Tr)] Cd (AGA 3): Ci(CT) + Upstrm + Dnstrm + 0.000511·(10⁶β/ReD)^0.7 + (0.0210 + 0.0049A)·β⁴·C Ci(CT) = 0.5961 + 0.0291β² − 0.2290β⁸ + 0.003(1 − β)·M1 Upstrm = [0.0433 + 0.0712e^(−8.5L1) − 0.1145e^(−6.0L1)]·(1 − 0.23A)·β⁴/(1 − β⁴) Dnstrm = −0.0116·[M2 − 0.52·M2^1.3]·β^1.1·(1 − 0.14A) L1 = L2 = 25.4 mm / D, M1 = max(2.8 − D/25.4 mm, 0), M2 = 2L2/(1 − β), A = (19000β/ReD)^0.8, C = (10⁶/ReD)^0.35 iterated with ReD = 4·qm / (π·D·μ) Y (AGA 3, upstream tap) = 1 − (0.41 + 0.35β⁴)·x1/k, x1 = ΔP/P1 ≤ 0.20 (liquid Y = 1) ISO 5167-2 option: Reader-Harris/Gallagher (1998) Cd and the ISO expansion factor ρ1 = P1 · M / (Z1 · R · T1) Z1, k from AGA 8 Part 1 DETAIL (21 components) Qstd = qm / ρb ρb at base P and T, also from AGA 8 (Zb) Permanent loss Δω = ΔP · [√(1 − β⁴(1 − Cd²)) − Cd·β²] / [√(1 − β⁴(1 − Cd²)) + Cd·β²]

      AGA 8 DETAIL: JavaScript port of the public-domain NIST reference code (usnistgov/AGA8), checked against NIST's test values. AGA 3 Cd: checked against the Cd tables of AGA 3 Part 1 (maximum difference 0.000005, the table rounding). Thermal expansion coefficients: AGA 3 Part 1 Table 1-1. Uncertainty: AGA 3 Part 1 §1.12 (the Reynolds-number factor is read from its Figure 1-5, approximate). For study and cross-checking only. Custody-transfer flow must come from an approved, verified flow computer.