Wedge meter by Krtyata

Wedge Meter Design

ISO 5167-6  ·  High Viscosity  ·  Erosive & Slurry Service  ·  50 – 600 mm Lines

Overview

What Is a Wedge Meter?


A wedge meter is a differential pressure flow element built around a V-shaped wedge fixed to the inside wall of a pipe section, with its apex pointing across the flow. The wedge leaves a segmental opening, which accelerates the fluid and produces a differential pressure between an upstream and a downstream pressure tapping. Both tappings sit on the same side of the body as the wedge.

ISO 5167-6:2022 sets out the geometry, installation and operating conditions of the wedge meter for single-phase, subsonic flow in a full circular conduit, and is applied together with ISO 5167-1. Because the restriction is a solid wedge rather than a thin sharp-edged bore, it is a practical choice for viscous, erosive, dirty and slurry fluids where an orifice plate would wear or plug.

The size of the wedge opening is described by the wedge ratio h/D, the gap between the apex and the pipe wall divided by the inlet diameter. This is related to the diameter ratio β through the segmental area, so h/D = 0.5 corresponds to β ≈ 0.707, and β = 0.5 corresponds to h/D ≈ 0.298.

Design Basis

  • Sized per ISO 5167-6:2022 and ISO 5167-1
  • Wedge ratio h/D & β selection (0.2 – 0.6 / 0.377 – 0.791)
  • Discharge coefficient & Reynolds number check
  • Expansibility factor for gas & vapour service
  • Permanent pressure loss calculation
  • Tapping design (pipe wall or large bore)
  • Straight-length & installation review
  • Calibration programme per ISO 5167-6 Clause 7
  • Uncertainty analysis
Calculation Basis

Limits of Use & Key Equations


An uncalibrated wedge meter may be used with the coefficient given in ISO 5167-6 only inside the limits below. Outside them, the discharge coefficient has to be established by flow calibration over the full Reynolds number range of operation.

Pipe internal diameter, D50 mm ≤ D ≤ 600 mm
Diameter ratio, β0.377 ≤ β ≤ 0.791
Wedge ratio, h/D0.2 ≤ h/D ≤ 0.6
Pipe Reynolds number, ReD1 × 10⁴ ≤ ReD ≤ 9 × 10⁶
Surface roughness, RaLess than 10⁻³ D
Flow conditionSingle-phase, subsonic, non-pulsating, pipe running full

Extreme values of D, β and ReD should not be combined, as the uncertainty may increase.

Discharge coefficient (uncalibrated) C = 0.77 − 0.09 β
Relative expanded uncertainty of C is 4 % at k = 2 (about 95 % confidence).
Permanent pressure loss Δϖ = (1.09 − 0.79 β) Δp
Static pressure recovery is essentially complete about 5D downstream of the downstream tapping.
Expansibility factor, ε Isentropic expansion equation
Applied to gases and vapours with a known isentropic exponent, valid for p₂/p₁ ≥ 0.75. Relative uncertainty is 100(1 − τ)/(3ε) %.
Construction

Geometry & Pressure Tapping Requirements


The standard fixes the main dimensions of the wedge and its tappings so that the published coefficient applies. The key requirements are summarised here.

Wedge Shape

Wedge plane angle of 90° ± 2°, upstream and downstream external angles of 135° ± 2°, and an apex radius of 1 mm or less along its full span.

Meter Body

Entrance and exit cylinders of at least 0.5D, with no measured diameter differing from the mean by more than 0.4 %. Measured internal diameter, not nominal, is used in calculations.

Pressure Tappings

Centrelines located 1D ± 0.02D from the nearest point of the wedge. Pipe wall tappings are 4 – 10 mm; large bore branch tappings are 25 – 75 mm and never larger than D.

Fabrication

Weld beads are kept small and must not intrude into the throat area. Hollow wedges need a pressure equalisation system for structural stability under rapid pressure change.

Benefits

Benefits of Wedge Meters


Erosion & Wear Resistant

A solid wedge keeps its shape in abrasive and erosive service far better than a thin-edged orifice plate.

Suited to Viscous Fluids

Performs well in viscous service. A flow calibration allows operation over a wider Reynolds number range than the standard's uncalibrated limits.

Slurry & Dirty Fluid Capable

The segmental opening lets entrained solids pass. Large bore tappings with diaphragm seals suit slurry, corrosive and fouling fluids.

Calibrated Accuracy

With a Clause 7 calibration, discharge coefficient uncertainty becomes comparable to that of orifice, nozzle and Venturi devices.

Standardised Basis

Covered by ISO 5167-6, giving a documented method for flow calculation, uncertainty and installation.

Bidirectional Use

Can be applied to reverse flow, provided tapping and thermowell positions are considered and calibration covers both directions.

Moderate Pressure Loss

Permanent loss follows a simple relation to the measured differential, reducing as β increases.

Any Suitable Material

May be made from any material and construction method, provided the specified geometry is held in service.

Limitations

Limitations of Wedge Meters


Higher Uncalibrated Uncertainty

An uncalibrated meter carries a 4 % coefficient uncertainty, relatively high compared with orifice, nozzle and Venturi devices.

Defined Size & Re Range

Uncalibrated use is limited to 50 – 600 mm lines and ReD from 10⁴ to 9 × 10⁶. Beyond that, calibration is required.

Calibration Not Transferable

Results apply to the individual meter and flow direction tested, cannot be extrapolated, and each set of tappings is treated as a separate meter.

Sensitive to Dimensions

Flow calculation is sensitive to the pipe diameter and wedge gap, so both must be measured accurately and entered correctly.

Installation

Recommended Upstream Straight Lengths


Upstream lengths are measured from the end of the curved part of the nearest fitting to the upstream tapping. The values below keep the shift in discharge coefficient within 0.5 %.

Fitting upstream of meterMinimum straight length
Single 90° bend7D
Two 90° bends in the same plane21D
Three 90° bends, parallel inlet and outlet22D
Concentric expander (D/2 to D)7D
Concentric reducer (3D/2 to D)7D
Partially closed valve15D
Pipe tee, straight run7D
Pipe tee, used as elbow or tee8D

Fully open full-bore isolation valves add no extra error.

Installation Notes

Other Installation Requirements


Downstream Length

Fittings at least 6D downstream of the downstream tapping introduce no additional error.

Pipe Condition

The pipe must be cylindrical over the required upstream length and 6D downstream, with no diameter differing from D by more than 2 %, and roughness below 10⁻³ D.

Thermowell & Flow Conditioners

A thermowell is best placed 4D to 14D downstream of the downstream tapping. Flow conditioners are generally not used with wedge meters.

Calibration

Flow Calibration per ISO 5167-6 Clause 7


Where lower uncertainty is needed, or the design lies outside the standard's geometry or limits, the standard calls for the meter to be flow calibrated. Calibration determines the discharge coefficient of the individual meter and its uncertainty.

Full Operating Range

Calibrate at least over the entire Reynolds number range expected in service, using liquid, gas, or both in separate tests. Extrapolation is not permitted.

Traceable Test Facility

The facility must give appropriate traceability for the application, with ISO/IEC 17025 as guidance on what is suitable.

Representative Installation

At least 10D of straight inlet and 2D of outlet are used. If service piping differs significantly, it should be replicated at the test facility.

Reporting & Uncertainty

Reports give differential pressure, Reynolds number and discharge coefficient, with uncertainties at k = 2 evaluated by ISO 5168 or ISO/IEC Guide 98-3.

Applications

Typical Applications


Crude & Heavy Oil Measurement Slurry & Coal-Water Mixtures High-Viscosity Chemical Process Flow Wastewater & Sludge Metering Corrosive Fluids with Diaphragm Seals Abrasive / Particulate-Laden Service

Summarised from ISO 5167-6:2022. Refer to the full standard for the complete requirements.

Need a Wedge Meter for Viscous or Erosive Service?

Our engineers will size a wedge meter to ISO 5167-6 for your fluid properties, line size and Reynolds number range, and plan the calibration if needed.

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