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Flow Measurement · Free Calculator

Orifice Plate Bore Sizing Calculator

Size a concentric orifice plate for liquid service. Enter the maximum flow and the DP you want at that flow, and the calculator finds the bore, beta ratio and permanent pressure loss.

ISO 5167-2Bore and β ratioPermanent pressure lossLiquid service
Bore diameter61.79 mm
Beta ratio β0.6042
Discharge coefficient C0.6093
Pipe Reynolds number172,300
Permanent pressure loss62.3 % of DP
How this result was calculated
  1. Target mass flow = Q × ρ = 49,910 kg/h
  2. β is found by iteration so that the ISO 5167-2 flow at 250 mbar equals the target
  3. Pressure loss ratio Δϖ/ΔP = (√(1 − β⁴(1 − C²)) − Cβ²) ÷ (√(1 − β⁴(1 − C²)) + Cβ²) = 0.623
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Orifice Sizing Method

qm = C ÷ √(1 − β⁴) × (π/4) × (βD)² × √(2ΔPρ)
Δϖ ÷ ΔP = (√(1 − β⁴(1 − C²)) − Cβ²) ÷ (√(1 − β⁴(1 − C²)) + Cβ²)

The calculator solves the ISO 5167-2 flow equation for β, recalculating the Reader Harris/Gallagher discharge coefficient and Reynolds number at every step.

Worked example

50 m³/h of water in a 4 inch Sch 40 pipe at 250 mbar maximum DP with flange taps needs a bore of about 61.8 mm (β ≈ 0.60), with a permanent loss of about 62 % of the DP.

Key insight: a higher DP range gives a smaller bore, better low flow resolution and more pressure loss. 250 mbar (100 inH₂O) is a common compromise for liquids.
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Frequently Asked Questions

What DP range should I choose for an orifice plate?

Common ranges are 100 to 500 mbar (40 to 200 inH₂O). Choose one that gives β between about 0.4 and 0.65.

What is permanent pressure loss?

The part of the DP not recovered downstream, roughly (1 − β²) of the DP for an orifice. It costs pumping energy.

Does this work for gas?

This version sizes liquid plates. For gas, also apply the expansibility factor, which the orifice flow calculator includes.

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