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Orifice Plate Flow Rate & DP Calculator

Concentric square-edged orifice plates remain the most common differential pressure flow metering technology across petrochemical and industrial facilities.

Inside diameter of the meter run pipe (e.g. 100 mm for 4-inch pipe).

Diameter of the concentric circular bore aperture (must be smaller than pipe diameter).

Measured pressure drop across orifice taps (e.g. 25 kPa = 100 inH2O).

Empirical discharge coefficient (0.60–0.62 is typical for corner/flange taps).

Calculated Result
31.52 m³/hr (138.8 GPM)

Volumetric Flow Rate

Flow in US Gallons/Min

138.8 GPM

Mass Flow Rate

8.74 kg/s

Diameter Ratio (β)

0.500

Discharge Coefficient Cd

0.61

Calculation Breakdown

  1. Diameter Ratio (Beta β)β = 50 mm ÷ 100 mm = 0.500
  2. Bore Cross-Sectional AreaA = π/4 × (0.05 m)² = 0.001963 m²
  3. ISO 5167 Flow Rate EvaluationQ = 0.61 × A × (1 / √(1 - 0.500⁴)) × √(2 × 25000 ÷ 998.2) = 31.52 m³/hr

Flow Rate (m³/hr) vs Differential Pressure (kPa)

Interactive visualization based on your current inputs

Calculated Value
0.025507610110 kPa25 kPa50 kPa75 kPa100 kPa

What Is the Orifice Plate Flow Rate & DP Calculator?

An orifice plate is a thin plate with a hole placed in a pipe to restrict fluid flow, producing a differential pressure proportional to the square of flow velocity.

How Does the Orifice Plate Flow Rate & DP Calculator Work?

Computes beta ratio β = d ÷ D.

Computes orifice area and velocity of approach factor.

Calculates volumetric flow rate in m³/hr, US GPM, and mass flow in kg/s.

Orifice Plate Flow Rate & DP Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q = Cd × A × (1 ÷ √(1 - β⁴)) × √(2 × ΔP ÷ ρ)

Standard ISO 5167 orifice equation accounting for velocity of approach factor and differential pressure.

How to Use the Orifice Plate Flow Rate & DP Calculator

  1. Enter pipe and orifice bore diameters.
  2. Enter differential pressure in kPa.
  3. Read calibrated volumetric flow rate.

Step-by-Step Example Calculation

50mm Orifice in 100mm Line at 25 kPa Differential Pressure

Input Values:

pipeDiameterMm:100
orificeDiameterMm:50
differentialPressureKpa:25
dischargeCd:0.61

Understanding Your Result

Flow varies with the square root of differential pressure.

Factors That Affect the Result

  • Upstream and downstream straight pipe run lengths and flow conditioners.

When Should You Use This Calculator?

  • Calibrating differential pressure transmitters, steam metering, and chemical flow control.

Assumptions & Limitations

  • Assumes sub-sonic liquid water flow with standard edge sharpness.

Frequently Asked Questions

Calculation Accuracy & Reference Note

ISO 5167-2 precision orifice standard.

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