Vortex flow metres occupy a sweet spot in flow measurement: they require no moving parts, produce minimal pressure loss, and measure across a wide range of fluids (steam, gases, liquids). Their ability to measure temperature and pressure simultaneously makes them attractive for multi-variable custody transfer and process optimisation applications.
However, they do have limitations—particularly with low-Reynolds-number flows and highly viscous fluids. Understanding these trade-offs is essential for proper selection.
The von Kármán Vortex Street Principle
Vortex metres operate on a principle discovered by physicist Theodore von Kármán: when fluid flows around a bluff body (an obstruction), alternating vortices form downstream.
- Bluff body: Typically triangular, trapezoidal, or cylindrical obstruction mounted transversely in the flow
- Vortex formation: Boundary layer separation on both sides creates counter-rotating vortex pairs
- Vortex shedding frequency: Directly proportional to flow velocity
Mathematical relationship:
- f = St × (V / D)
- Where: f = shedding frequency (Hz), St = Strouhal number (~0.2 for typical vortex metres), V = flow velocity, D = bluff body width
Since the bluff body width is known, the metre electronics count vortex shedding frequency and convert to volumetric flow rate.
Vortex Detection Methods
Piezoelectric Sensors
- Detect mechanical oscillation as vortices form and shed
- Crystal material vibrates at shedding frequency
- Robustness: Excellent; proven in harsh steam environments
- Cost: Baseline
- Typical use: Steam metres, high-temperature applications
Capacitive Sensors
- Measure changes in capacitance as fluid properties vary around bluff body
- Sensitivity: Higher than piezoelectric; better signal-to-noise for low-flow applications
- Cost: Slightly higher
- Typical use: Low-flow gas measurement, precision process control
Thermal (Hot-Wire) Sensors
- Heated wire detects temperature variations caused by vortex shedding
- Application: Specialised for cryogenic and ultra-low-flow measurement
- Cost: Premium
Inline vs Insertion Configuration
Inline Vortex Metres
- Design: Bluff body spans entire pipe diameter
- Accuracy: ±0.75%–±1.0% (excellent)
- Pressure loss: 0.3–1.0 bar at rated flow
- Cost: £1,500–£4,000 (higher, requires flanged installation)
- Applications: Custody transfer, process control where accuracy is critical
- Maintenance: Requires pipe removal for service; plan downtime
Insertion Vortex Metres
- Design: Probe inserts into pipe; bluff body extends into flow
- Accuracy: ±1.5%–±2.0% (moderate; partial pipe sampling)
- Pressure loss: <0.1 bar (negligible; less obstruction)
- Cost: £800–£2,000 (more economical)
- Installation: Hot-tap capable; no shutdown required
- Applications: Retrofit to existing systems, large pipes where full-flow device uneconomical
Multi-Variable Measurement: Flow + Temperature + Pressure
Modern vortex metres integrate additional sensors:
- Temperature sensor (RTD or thermocouple): Measures fluid temperature
- Pressure transmitter: Measures absolute or gauge pressure
- Electronics module: Calculates mass flow, density, enthalpy, and other properties
This is particularly valuable for steam measurement, where density is highly pressure and temperature dependent.
Steam Measurement Example
A steam line operating at 10 bar and 180°C. The metre measures:
- Volumetric flow: 50 m³/h (from vortex shedding frequency)
- Temperature: 180°C
- Pressure: 10 bar
- Calculated density: 5.2 kg/m³ (from steam tables)
- Mass flow: 260 kg/h (50 × 5.2)
- Enthalpy: Calculated for energy accounting in power stations and heating systems
This eliminates the need for separate temperature and pressure transmitters, reducing capital cost and installation complexity.
Reynolds Number Dependency
Vortex shedding is a Reynolds number-dependent phenomenon. Flow must be turbulent for reliable measurement.
Reynolds Number Limits
- Re < 5,000: No vortex shedding; metre will not measure
- Re 5,000–20,000: Transition zone; unpredictable shedding, accuracy degrades
- Re > 20,000: Stable vortex shedding; reliable measurement
Reynolds Number calculation:
- Re = (ρ × V × D) / μ
- Where: ρ = density, V = velocity, D = pipe diameter, μ = dynamic viscosity
Practical Implications
Low-viscosity fluids (gases, clean water): Re > 20,000 is easily achieved across normal flow ranges. No problem.
High-viscosity fluids (oils, polymers): Even at modest flow rates, viscosity can push Re below 20,000. Vortex metres become unreliable.
For example: Measuring heavy fuel oil (500 cP viscosity) at 10 m³/h in a 2-inch pipe:
- Re = (850 kg/m³ × 2 m/s × 0.05 m) / 0.5 Pa·s = 170 (well below 20,000)
- Vortex metre will not measure reliably; use Coriolis instead
Advantages and Disadvantages
Advantages
- No moving parts: Robust, minimal maintenance
- Wide application range: Works with steam, gases, and liquids
- Multi-variable capability: Simultaneous flow, temperature, and pressure measurement
- Modest pressure loss: 0.3–1.0 bar (less than differential pressure metres)
- Fast response time: Suitable for dynamic control applications
- Economical cost: £800–£4,000 across most sizes
Disadvantages
- Reynolds number dependent: Requires Re > 20,000; fails with high-viscosity fluids
- Pressure loss: Backpressure reduces available downstream head
- Pulsating flows: Unreliable in highly pulsating conditions (large positive displacement pump discharge)
- Vibration sensitivity: External vibration from nearby equipment can cause measurement noise
- Swirl sensitivity: Requires good inlet conditions; 5 pipe diameters upstream straightening pipe recommended
- Moderate accuracy: ±0.75%–±2.0% (not suitable for high-precision custody transfer)
Industrial Applications
Steam Measurement (Most Common)
Vortex metres are market leaders for steam flow measurement because they directly measure volumetric flow and sense temperature/pressure simultaneously, allowing automatic density correction.
- Power generation (steam turbine inlet)
- District heating systems
- Industrial process steam (food, pharmaceuticals, textiles)
- Heat exchanger outlet metering (for BTU accounting)
Gas Measurement
- Natural gas utility metering (process control, not custody transfer)
- Compressed air system monitoring
- Fuel gas to engines and burners
Liquid Applications
- Water flow monitoring (municipal and industrial)
- Clean liquid chemicals and solvents
- Cooling water loops
- Limitation: Not suitable for slurries or highly viscous liquids
Installation Considerations
Inlet Conditions
- Straight pipe upstream: Minimum 5 pipe diameters
- Installation: Vertical or horizontal; avoid pulsating inlet flows
- Swirl elimination: Perforated straightening plate upstream improves accuracy
Temperature Compensation
For gases, temperature affects density significantly. Integrated RTD sensor automatically corrects for temperature variation.
Vibration Isolation
External vibration from motors, compressors, or nearby equipment can couple into the metre, causing false frequency counts. Isolation mounts or vibration-damped piping recommended in mechanically noisy environments.
Maintenance
Vortex metres are low-maintenance because they have no moving parts:
- Preventive maintenance: None required
- Sensor inspection: Annually for inline metres; check for deposits/corrosion
- Calibration: Every 24 months (optional unless custody transfer); £150–£300
- Expected service life: 15–20 years
For steam applications: Water droplet slugging can damage the bluff body. Ensure adequate steam quality (dry steam, not wet); install a strainer and moisture separator upstream if needed.
Cost Analysis
Capital Cost (1-inch pipe)
- Insertion vortex (piezo): £800–£1,500
- Inline vortex (piezo): £1,500–£2,500
- Multi-variable (flow+T+P): £2,000–£4,000
Operating Cost
- No moving parts = zero mechanical maintenance
- Power consumption: 2–5 watts (negligible)
- Pressure loss: 0.3–1.0 bar (slight pumping cost increase in process loops)
Selection Guidance
Choose vortex metres if:
- Measuring steam (excellent multi-variable capability)
- Flow is gas or low-viscosity liquid
- Reynolds number > 20,000 (check before purchase)
- Multi-variable measurement (flow+T+P) is valuable
- Pressure loss is acceptable (0.3–1.0 bar)
- Accuracy ±0.75%–±2.0% is adequate
Avoid vortex metres if:
- Measuring high-viscosity fluids (>100 cP)
- Low-Reynolds-number flow (<20,000)
- Pulsating inlet conditions (positive displacement pump discharge)
- Custody transfer with ±0.2% accuracy required (use Coriolis)
- Slurry measurement (abrasive; use Coriolis)
Summary
Vortex flow metres deliver reliable, low-maintenance measurement across a wide range of applications. Their multi-variable capability (simultaneous flow, temperature, pressure) makes them the preferred technology for steam measurement. However, Reynolds number dependency limits use with viscous fluids. For steam, gases, and clean liquids at moderate to high flow rates, vortex metres offer excellent performance at economical cost (£800–£4,000).