Flow nozzle by Krtyata

Flow Nozzle Design

ISO 5167-3  ·  ISA 1932  ·  Long Radius  ·  Throat-Tapped  ·  Venturi Nozzle

Overview

What Is a Flow Nozzle?


A flow nozzle is a differential pressure primary device with a smoothly rounded convergent inlet leading into a cylindrical throat. The fluid is accelerated through the throat, and the static pressure difference between the upstream side and the throat is used to calculate flow rate. The gradual, contoured inlet gives a more streamlined path than the sharp bore of an orifice plate.

BS EN ISO 5167-3:2020, the UK adoption of ISO 5167-3:2020, covers three standard nozzle types, the ISA 1932 nozzle, the long radius nozzle and the throat-tapped nozzle, together with the Venturi nozzle. They differ in profile and in the position of the pressure tappings. The standard applies to single-phase, subsonic, non-pulsating flow in full circular conduits, in pipes of 50 to 630 mm and at pipe Reynolds numbers of 10 000 and above, and is used together with ISO 5167-1.

Design Basis

  • Sized per BS EN ISO 5167-3:2020 and ISO 5167-1
  • Nozzle type selection from β, D and Reynolds number
  • Discharge coefficient C from the standard's equations
  • Expansibility factor for gas & vapour service
  • Permanent pressure loss calculation
  • Tapping design: corner, D and D/2 style, or throat taps
  • Straight-length & flow conditioner review
  • Calibration programme per ISO 5167-3 Clause 7
  • Uncertainty analysis
Types

Nozzle Types Covered by ISO 5167-3


ISO 5167-3 · Clause 5.1

ISA 1932 Nozzle

A flat inlet face, a convergent section formed by two circular arcs, and a cylindrical throat of length 0.3d, with an optional recess to protect the outlet edge. Corner pressure tappings are used upstream, and the downstream tapping is a corner tapping or a tapping close to the upstream face. Used for 50 to 500 mm pipes with β from 0.3 to 0.8.

ISO 5167-3 · Clause 5.2

Long Radius Nozzle

A quarter-ellipse convergent inlet and a cylindrical throat of length 0.6d. A high-ratio design covers β of 0.25 to 0.8 and a low-ratio design covers β of 0.2 to 0.5, and either may be used between 0.25 and 0.5. Tappings are at about 1D upstream and 0.5D downstream of the inlet face. Used for 50 to 630 mm pipes with β from 0.2 to 0.8.

ISO 5167-3 · Clause 5.3 (added 2020)

Throat-Tapped Nozzle

An elliptical convergent inlet with the low-pressure signal taken from tappings in the throat itself, rather than from a tapping in the pipe wall. The design draws on the throat-tap nozzle used in ASME PTC 6 performance testing. It is limited to 100 to 630 mm pipes, β of 0.4 to 0.5 and high Reynolds numbers, and has the lowest uncalibrated uncertainty of the three nozzle types.

ISO 5167-3 · Clause 5.4

Venturi Nozzle

The same upstream face as the ISA 1932 nozzle, followed by a cylindrical throat and a divergent outlet section with an included angle of 30° or less. The divergent section lowers the pressure loss compared with a similar plain nozzle, and the throat tappings are at least four single tappings joined by an annular chamber or piezometer ring.

Venturi Nozzle page →
Comparison

Limits of Use & Uncertainty by Type


Each nozzle type may only be used with the standard's coefficient inside the limits below. Outside them, a flow calibration over the full operating Reynolds number range is required.

Type Pipe diameter, D Diameter ratio, β Reynolds number Uncertainty of C (uncalibrated)
ISA 1932 50 – 500 mm 0.3 – 0.8 ReD 7×10⁴ – 10⁷ for β < 0.44; 2×10⁴ – 10⁷ for β ≥ 0.44 0.8 % for β ≤ 0.6; (2β − 0.4) % for β > 0.6
Long radius 50 – 630 mm 0.2 – 0.8 ReD 10⁴ – 10⁷ 2.0 %
Throat-tapped 100 – 630 mm 0.4 – 0.5 Red 8×10⁵ – 2×10⁷ 0.7 %
Venturi nozzle 65 – 500 mm, d ≥ 50 mm 0.316 – 0.775 ReD 1.5×10⁵ – 2×10⁶ (1.2 + 1.5β⁴) %

Pipe roughness limits also apply, such as Ra/D ≤ 3.2 × 10⁻⁴ for long radius nozzles, and Tables 1 and 2 of the standard for ISA 1932 and Venturi nozzles.

Calculation Basis

Discharge Coefficient, Expansibility & Pressure Loss


ISA 1932 nozzle C = 0.9900 − 0.2262 β4.1 − (0.00175 β² − 0.0033 β4.15)(10⁶ / ReD)1.15
Long radius nozzle C = 0.9965 − 0.00653 √(10⁶ β / ReD)
The same coefficient applies to both the high-ratio and low-ratio designs.
Venturi nozzle C = 0.9858 − 0.196 β4.5
Independent of Reynolds number and pipe diameter within the limits of use.
Throat-tapped nozzle C = 1.0090 − (0.255 / Red0.2)(1 − 400 000 / Red)0.8
For 8×10⁵ ≤ Red < 3×10⁶. A second equation applies at higher Reynolds numbers.
Expansibility factor, ε Isentropic expansion equation
Applies to all nozzle types within their limits of use, and only for p₂/p₁ ≥ 0.75. Test data exist for air, steam and natural gas, and the equation may be used for other gases and vapours of known isentropic exponent. Relative uncertainty is 2 Δp/p₁ %, or (4 + 100β⁸) Δp/p₁ % for the Venturi nozzle.
Permanent pressure loss (ISA 1932, long radius, throat-tapped) Δϖ = [√(1 − β⁴(1 − C²)) − Cβ²] / [√(1 − β⁴(1 − C²)) + Cβ²] · Δp
Measured from about D upstream of the device to about 6D downstream, where pressure recovery is essentially complete.
Venturi nozzle pressure loss ξ generally 5 % – 20 % of Δp
For a divergent angle of 15° or less. The relative loss falls as β and Reynolds number rise, and rises with divergent angle and roughness.
Construction

Geometry & Pressure Tapping Requirements


Throat & Surface

The throat is cylindrical, with no diameter differing from the mean by more than 0.05 %, taken from at least four measured diameters. Roughness is Ra ≤ 10⁻⁴ d for ISA 1932, long radius and Venturi nozzles.

Inlet Profile

Checked against a template. ISA 1932 arcs have radii of about 0.2d and d/3, with an overall length of 0.6041d up to β of 2/3. Long radius and throat-tapped inlets follow elliptical profiles defined by the standard.

Tapping Detail

Pipe wall tappings are circular, cylindrical over at least 2.5 tapping diameters, flush and burr-free. Diameter is below 0.13D and 13 mm, and upstream and downstream tappings have the same diameter.

Throat Tappings

Throat-tapped and Venturi nozzles use several tappings joined by an annular chamber, piezometer ring or triple-T arrangement. Annular or interrupted slots are not allowed. Throat tappings are 2 – 7 mm (throat-tapped) or up to 0.04d (Venturi).

Carrier Rings

ISA 1932 and Venturi nozzles may use carrier rings with annular slots or single tappings. The ring bore is between D and 1.04D, and the ring must not protrude into the pipe.

Vapour & Liquefied Gas

Single tappings for vapours and liquefied gases are 4 – 10 mm. Annular chamber slots for vapours are 1 – 10 mm wide.

Materials

Any material may be used if the geometry is held in service. Throat-tapped and Venturi nozzles are usually metal and must resist erosion and corrosion by the process fluid.

Placement

The device is perpendicular to the pipe centreline within 1°, centred within a limit that depends on β, and fixed so that it stays in position and can expand freely. Gaskets must not protrude into the flow.

Benefits

Benefits of Flow Nozzles


Streamlined Profile

The rounded, contoured inlet gives a smoother flow path than a sharp-edged orifice bore, and suits clean gas, steam and liquid service.

Low Uncertainty

Uncalibrated uncertainty of C is 0.8 % for ISA 1932 nozzles up to β of 0.6, 0.7 % for throat-tapped nozzles and 2.0 % for long radius nozzles.

High Reynolds Number Capability

ISA 1932 and long radius nozzles are used up to ReD of 10⁷, and the throat-tapped nozzle is characterised up to Red of 2 × 10⁷.

Lower Loss with a Divergent Outlet

A Venturi nozzle has the same inlet as the ISA 1932 type but a lower pressure loss than a similar plain nozzle.

Steam & Gas Data

Expansibility test data exist for air, steam and natural gas, supporting use in compressible service within the standard's limits.

Durable Construction

Typically made of metal chosen to resist erosion and corrosion, so the throat keeps its shape in service.

Wide β Choice

Long radius nozzles cover β from 0.2 to 0.8, allowing sizing for a broad range of flows and differential pressures.

Standardised Basis

Backed by direct calibration data, with documented methods for flow calculation, uncertainty and installation.

Limitations

Limitations of Flow Nozzles


Size & Re Range

The standard does not cover pipes under 50 mm or over 630 mm, or pipe Reynolds numbers below 10 000.

Single-Phase Only

ISO 5167-3 applies to single-phase, subsonic, non-pulsating flow. Wet gas, two-phase and pulsating flow are outside its scope.

Narrow Throat-Tapped Range

The throat-tapped nozzle is only characterised for β of 0.4 to 0.5, D of 100 to 630 mm and high Reynolds numbers.

Long Straight Lengths

Required straight lengths can be long at high β, and the standard notes that the table values are not based on modern data.

Installation

Required Straight Lengths


Lengths are given in pipe diameters, measured from the upstream face of the device. Column A gives the length for zero additional uncertainty, and column B gives the shorter length for which 0.5 % is added to the uncertainty of C. Three representative values of β are shown, and the full table in the standard covers β from 0.20 to 0.80.

Fitting β = 0.30
(A / B)
β = 0.50
(A / B)
β = 0.70
(A / B)
Single 90° bend or tee10D / 6D14D / 7D28D / 14D
Two or more 90° bends, same plane16D / 8D20D / 10D36D / 18D
Two or more 90° bends, different planes34D / 17D40D / 20D62D / 31D
Reducer, 2D to D over 1.5D – 3D5D / no data6D / 5D14D / 7D
Expander, 0.5D to D over D – 2D16D / 8D18D / 9D30D / 15D
Globe valve, fully open18D / 9D22D / 11D32D / 16D
Full-bore ball or gate valve, fully open12D / 6D12D / 6D20D / 10D
Abrupt symmetrical reduction30D / 15D30D / 15D30D / 15D
Fittings downstream of the device5D / 2.5D6D / 3D7D / 3.5D

A thermometer pocket of diameter up to 0.03D needs 5D / 3D, and one between 0.03D and 0.13D needs 20D / 10D, for all β.

Pipe Condition

The 2D of pipe next to the nozzle is made with special care, with no diameter more than 0.3 % from the mean. D is the mean of at least twelve measured diameters.

Diameter Steps

Steps between pipe sections are limited to 0.3 % between 2D and 10D from the nozzle, and to 2 % beyond 10D. Larger steps add 0.2 % uncertainty if within limits.

Flow Conditioners

A conditioner can shorten upstream lengths if it meets ISO 5167-1. A throat-tapped nozzle is compliant with a perforated plate conditioner 16D ± 0.5D upstream of the inlet face and 4D of straight pipe ahead of it.

Open Space & Series Fittings

From an open space or large vessel, at least 30D of pipe is needed. Several fittings in series have further rules, and 2× the table values is recommended for research and calibration work.

Calibration

Flow Calibration per ISO 5167-3 Clause 7


A nozzle must be calibrated where lower uncertainty is needed than the standard gives, or where its geometry differs from the standard's. Calibration determines the discharge coefficient of the individual nozzle and its uncertainty.

Operating Range

Calibrate at least over the whole Reynolds number range expected in service, with liquid, gas or both. Use is limited to the calibrated range, and data are not transferable between nozzles.

Traceable Facility

The facility must give appropriate traceability, with ISO/IEC 17025 as guidance. For throat-tapped nozzles, calibration at a facility operating to ISO/IEC 17025 is required.

Throat-Tapped Programme

Measure at six or more Reynolds numbers, with a maximum above 2.5 × 10⁶ and a minimum between 8 × 10⁵ and 1.5 × 10⁶. A fitted result may then be extended to Red of 2 × 10⁷ within stated limits.

Reporting

Reports give tabulated and graphical differential pressure, Reynolds number and discharge coefficient. Uncertainties are at 95 % confidence, evaluated by ISO 5168 or ISO/IEC Guide 98-3.

Applications & Uses

Where Flow Nozzles Are Used


Steam Flow Measurement Superheated & High-Temperature Fluids Gas & Liquid Process Flow High Reynolds Number Service Boiler Feedwater Measurement Power Plant Process Measurement High-Accuracy Throat-Tapped Metering Low-Loss Venturi Nozzle Installations

Summarised from BS EN ISO 5167-3:2020. Refer to the full standard for the complete requirements.

Need a Flow Nozzle Designed for Your Application?

Our engineers will select the right nozzle type, ISA 1932, long radius, throat-tapped or Venturi, and deliver a fully sized design to ISO 5167-3, with calibration planned where needed.

Discuss Your Requirements