Lecture 11 Paper 1
🌊 Flow Measurement — Big Picture
Flow measurement is about determining how much fluid is moving through a pipe. The “fluid” can be a liquid, gas, steam, slurry, or multiphase mixture, depending on the application.
The chapter compares many flowmeter types using practical criteria such as:
- accuracy
- suitability for liquids, gases, steam, slurries, or viscous fluids
- pressure loss
- pipe size range
- cost
- whether the meter is invasive or non-invasive
- maintenance requirements
A key warning from the chapter is that accuracy values in tables are only rough guides. Real accuracy depends heavily on whether the correct instrument is chosen, installed properly, calibrated correctly, commissioned well, and maintained properly.
In other words: a “high accuracy” flowmeter can perform badly if installed badly.
13.2 Sight Glasses 👀
A sight glass is not really a flowmeter because it does not give a continuous numerical measurement of flow. Instead, it gives a simple visual indication:
Is there flow, or is there no flow?
It is basically a section of pipe with glass windows, so an operator can physically look into the process stream.
What sight glasses are useful for
Sight glasses are especially useful during commissioning, when engineers need to check whether flow is actually happening. They can also show the condition of the fluid, for example:
- whether the liquid is clear or cloudy
- whether there are bubbles
- whether there are suspended solids
- whether the fluid has an unexpected colour
So, a sight glass is like a “window into the pipe”.
Construction
A sight glass usually has:
- a steel body
- glass windows on opposite sides
- flange connections to install it in pipework
The steel body protects the glass from pipe stresses.
Limitations
The main practical problem is that the inside of the glass can become dirty, making it hard to see through. Sometimes a lamp must be installed in line with the sight glass to allow proper observation.
Some sight glasses include a hinged flap that moves when flow occurs. The flap movement can be calibrated against flow, but the chapter is sceptical of these devices because they are mechanical and prone to failure.
Problems with flap-type sight glasses include:
- hinge fatigue
- spring fatigue
- blockage by solids
- seizure if the fluid is dirty
The chapter basically says: simple sight glasses are useful, but flap-based calibrated versions are questionable.
13.3 Rotameters 🧪
A rotameter is a type of variable area flowmeter. Unlike a sight glass, it gives an analogue flow reading.
It consists of:
- a vertical tapered glass tube
- a float inside the tube
- a graduated scale
The float rises or falls depending on the flow rate.
How a rotameter works
Fluid flows upward through the tapered tube. The float is pushed upward by the flowing fluid, but gravity pulls it downward.
At some height, the forces balance:
- upward drag from flow
- upward buoyancy
- downward weight of the float
When the flow increases, the float rises. Because the tube is tapered, rising higher gives the fluid more annular area to pass through.
So the rotameter works by this principle:
Higher flow → float rises → larger flow area around float → new equilibrium position.
The float height is then read against a scale.
Important concept: variable area
In an orifice meter, the hole size is fixed and pressure drop changes with flow.
In a rotameter:
- pressure drop across the float is approximately constant
- flow area changes as the float moves
That is why it is called a variable area meter.
Calibration matters a lot
A very important point: the calibration is specific to the exact combination of:
- tube
- float
- fluid
If you change the float, fluid, or tube, the calibration may no longer be valid.
The chapter notes that many industrial rotameters are used incorrectly because they have the wrong float or are being used with the wrong fluid.
Practical limitations
Rotameters must be installed vertically. If the tube is tilted, or the float touches the wall, the reading becomes false.
They should only be used with clean fluids because:
- solids can block the meter
- dirt can make the glass hard to read
- sediment on the float changes its effective weight
- blockage is easy
Another practical detail: different float shapes have different correct reading points. Some are read at the top, some at the widest part, etc. You must follow the manufacturer’s instructions.
13.4 Gap Meter 📏
A gap meter is another type of variable area meter, but it works differently from a rotameter.
In a rotameter, the flow area is between:
float + tapered tube
In a gap meter, the flow area is between:
float + fixed orifice
The float moves relative to the orifice, and the size of the gap changes.
How it works
Fluid flow pushes the float into an equilibrium position. The float only moves a small distance, usually up to about 5 cm.
The float is guided along a rod, and its position is detected using an LVDT, which stands for:
Linear Variable Displacement Transducer
What is an LVDT?
An LVDT is a device that converts displacement into an electrical signal.
It has:
- one primary coil
- two secondary coils
- a movable ferrous core
When the core is exactly in the middle, the output voltage is zero. When the core moves, the voltage changes linearly:
more displacement → more output voltage
In the gap meter, the float/tube arrangement acts as part of this displacement system. The electrical signal can then be converted into a standard analogue output, often 4–20 mA.
Advantages and limitations
Gap meters have an approximately linear calibration and a lower pressure drop than an equivalent orifice meter.
But they are still invasive, because a float and internal components sit inside the flow path.
They should only be used with clean fluids because dirt or solids can interfere with float movement.
13.5 Turbine Flowmeters ⚙️
A turbine flowmeter contains a rotor mounted inside the pipe. As fluid flows through, it spins the rotor.
The basic idea is simple:
faster flow → faster rotor rotation
The rotations are usually detected magnetically, producing a pulse signal. That pulse signal can be counted or converted into a 4–20 mA analogue signal.
Why turbine meters are important
Turbine flowmeters are among the most accurate flowmeters available. Because of this, they are often used for:
- custody transfer
- fiscal measurement
- petroleum loading/offloading
- alcohol tanker loading where tax or duty is involved
“Custody transfer” means flow measurement where ownership changes hands, so accuracy matters financially.
Best applications
Turbine meters are suitable for:
- clean liquids
- clean gases
- single-phase flow
They are not suitable for dirty or difficult flows.
Why they fail in dirty flows
Turbine meters contain moving mechanical parts, especially bearings and rotor blades.
They are unsuitable for:
- slurries, because particles damage the bearings
- steam, because condensate droplets can damage rotor blades
- liquids with gas bubbles, unless gas is removed upstream
- flows with debris, unless a strainer is installed
Installation requirements
Turbine meters are sensitive to flow profile. They need:
- straight pipe upstream
- straight pipe downstream
- possibly flow straighteners
- vibration-free pipework
- horizontal mounting
- upstream strainer
During commissioning, flow should be introduced slowly. A sudden flow surge can damage the rotor through hydraulic impact or overspeed.
So turbine meters are highly accurate, but also delicate.
13.6 Electromagnetic Flowmeters ⚡
An electromagnetic flowmeter, often called a magmeter, works using electromagnetic induction.
The principle is:
A conductive liquid moving through a magnetic field generates a voltage.
The generated voltage is proportional to the flow rate.
The chapter gives the relationship:
e = kBQd
where:
- (e) = generated emf/voltage
- (k) = meter constant
- (B) = magnetic field strength
- (Q) = volumetric flow rate
- (d) = electrode spacing
How it is built
The meter is essentially a section of pipe called the primary head.
It contains:
- magnetic coils
- electrodes
- an insulating liner
- external electronics
The pipe section must be electrically insulated so that the generated voltage is not short-circuited through the pipe wall.
The liner is usually plastic, and the electrodes are flush with the inside surface.
Key requirement: conductive liquid
Electromagnetic flowmeters only work if the fluid is:
- liquid
- electrically conductive
- electrolytic
They cannot be used for:
- gases
- steam
- non-conductive solvents
- non-aqueous liquids without ionic species
Advantages
Electromagnetic flowmeters have many strong advantages:
- non-invasive
- negligible pressure drop
- suitable for slurries and suspended solids
- good accuracy for most industrial purposes
- wide pipe size range
- output is linear with flow
- largely independent of pressure and temperature
- tolerant of some electrode fouling
This makes them extremely useful in many liquid-processing industries.
Installation details
The meter must always be full of liquid. For vertical installations, flow should normally go upward. For horizontal installations, the electrode axis should not be vertical.
The process stream must also be at earth potential. With metal pipework this can be done by earthing the pipe. With plastic pipework, metallic earthing rings or gaskets are needed.
Main downside
They are relatively expensive in capital cost, but because they are non-invasive and have no moving parts, operating costs are low.
13.7 Ultrasonic Flowmeters 🔊
Ultrasonic flowmeters use sound waves to measure flow.
The chapter focuses mainly on the transit-time ultrasonic flowmeter.
Transit-time principle
Ultrasound pulses are sent through the fluid at an angle to the pipe axis.
The basic idea:
- sound travelling with the flow arrives faster
- sound travelling against the flow arrives slower
By comparing the travel times in both directions, the meter calculates the fluid velocity.
Since velocity is related to volumetric flow rate, the meter can determine flow.
Clamp-on advantage
The ultrasonic transmitter and receiver can sometimes be clamped externally onto the pipe.
That means the measurement can be:
- non-invasive
- installed without cutting into the pipe
- useful for large pipes
Why ultrasonic meters are cost-effective for large pipes
The cost of an ultrasonic flowmeter is largely independent of pipe size. Therefore, for large diameter pipes, ultrasonic measurement can be very cost-effective compared with meters that must be built into the pipe.
Clean liquids vs slurries
Transit-time ultrasonic meters are suitable mainly for clean liquids because suspended solids scatter the sound waves.
For slurries, a different ultrasonic type is used: the Doppler ultrasonic meter.
Doppler meters rely on scattering, so suspended particles or bubbles can actually help the measurement.
Installation and calibration issues
Ultrasonic flowmeters are calibrated for a fully developed flow profile. Therefore, they need straight pipe lengths upstream and downstream.
They are also sensitive to:
- entrained gas
- deposits
- pipe noise
- cavitation
- pump noise
- valve noise
- temperature effects
- pressure effects
The speed of sound depends on fluid density, which depends on temperature and sometimes pressure. These factors must be compensated for in calibration.
The chapter warns that ultrasonic meters should be located away from sources of cavitation such as pumps and valves.
13.8 Vortex Shedding Meters 🌪️
A vortex shedding meter uses vortices produced by fluid flowing past a blunt object.
The blunt object is called a bluff body.
Principle
When fluid flows past a bluff body, vortices are shed alternately from each side.
The faster the flow, the faster the vortices are formed.
So:
vortex shedding frequency ∝ flow rate
The meter counts the vortices to determine the flow rate.
How vortices are detected
Inside a vortex, pressure changes occur because kinetic energy increases and pressure energy decreases.
Pressure sensors downstream of the bluff body detect these pressure pulses.
The sensors are often piezo-electric crystals, which are sensitive enough to detect the small pressure changes.
Output
Like turbine meters, vortex shedding meters naturally produce a pulse signal. This can also be converted to a 4–20 mA analogue signal.
Best applications
Vortex meters are best suited for liquid flow measurement.
They have good accuracy when Reynolds numbers are around:
10^4 \text{ to } 10^6
Limitations
They are unsuitable for:
- slurries
- fluids with suspended solids
They are also invasive because the bluff body sits inside the flow. This causes a significant pressure/head loss.
So vortex meters are useful, but they disturb the flow.
13.9 Mass Flowmeters / Coriolis Flowmeters 🌀
Mass flowmeters in this chapter operate using the Coriolis effect.
Unlike most flowmeters, they measure mass flow rate directly, not volumetric flow rate.
This is important because mass flow is often more useful than volume flow, especially when density changes.
How a Coriolis meter works
The meter contains a continuous tube that is vibrated mechanically.
Fluid flowing through the vibrating tube causes a slight twist due to the Coriolis effect.
The amount of twist is measured, often optically, and is directly proportional to the mass flow rate.
So:
more mass flow → more twisting → higher measured signal
Why this is powerful
Most meters measure volume per time, such as m³/s.
A Coriolis meter measures mass per time, such as kg/s.
That means it is suitable for many difficult applications where density, phase, or composition may vary.
Applications
Coriolis meters are suitable for:
- liquids
- gases
- two-phase flows
- liquids with gas bubbles
- flashing liquids
- liquids with suspended solids
- gases with entrained solids
- difficult process streams
They are especially useful when the flow is multiphase but homogeneous, meaning the relative proportions of phases remain consistent.
Accuracy
They are very accurate for single-phase flow, especially liquids. Because of this, they are increasingly used for custody transfer and fiscal measurement.
Advantages
Coriolis mass flowmeters are:
- direct mass-flow measuring devices
- suitable for difficult fluids
- accurate for single-phase flow
- potentially suitable for multiphase flow
- corrosion-resistant if built from suitable materials
Limitations
The tube must be thin enough to flex and twist, so metal fatigue becomes a concern.
There is also an upper pressure limit because the tube cannot be made infinitely thick.
The meter must be mounted very rigidly. The axis of the meter must be free from vibration. For small pipework this is manageable, but for large pipework it can require:
- concrete foundations
- steel support structures
- expensive installation
Although the meter is described as non-invasive in the sense that there is no obstruction like a turbine blade or bluff body, the flow path can be tortuous, which may cause significant pressure drop.
Quick Comparison Table 🧠
| Flowmeter type | Main idea | Best for | Main weakness |
|---|---|---|---|
| Sight glass | Visual check through window | Simple flow/no-flow indication | No numerical measurement |
| Rotameter | Float rises in tapered tube | Clean fluids, local indication | Must be vertical; calibration fluid-specific |
| Gap meter | Float position changes gap area | Clean fluids with analogue output | Invasive; clean fluids only |
| Turbine meter | Rotor speed proportional to flow | Very accurate clean single-phase flow | Delicate moving parts |
| Electromagnetic meter | Conductive liquid generates voltage in magnetic field | Conductive liquids, slurries | Cannot measure gases, steam, or non-conductive liquids |
| Ultrasonic meter | Sound travel time changes with flow | Large pipes, non-invasive liquid measurement | Sensitive to bubbles, solids, noise, flow profile |
| Vortex meter | Counts vortices shed from bluff body | Liquids with suitable Reynolds number | Pressure loss; poor for slurries |
| Coriolis mass meter | Flow twists vibrating tube | Direct mass flow, difficult fluids | Expensive, pressure drop, mounting issues |
Key Learning Takeaways ✅
The most important lesson from the chapter is that no flowmeter is universally best.
A good flowmeter choice depends on:
- the fluid type
- whether the flow is clean or dirty
- whether the fluid is conductive
- whether it is liquid, gas, steam, slurry, or multiphase
- required accuracy
- acceptable pressure drop
- pipe size
- cost
- maintenance expectations
- installation constraints
For example:
- Use a sight glass when you only need to see if flow exists.
- Use a rotameter for simple local measurement of clean fluids.
- Use a turbine meter when very high accuracy is needed for clean single-phase flow.
- Use an electromagnetic meter for conductive liquids and slurries.
- Use an ultrasonic meter for non-invasive measurement, especially in large pipes.
- Use a vortex meter when vortex shedding is stable and solids are absent.
- Use a Coriolis meter when direct mass flow or difficult multiphase flow measurement is needed.
A sceptical engineering takeaway: do not choose a meter just because the brochure says “accurate”. The real performance depends on whether the meter matches the process conditions and whether the installation is done correctly.