Compressed air flow measurement

Guide: Measuring compressed air flow in distribution systems from the compressor

Why is it so important to measure compressed air flow?

Because we can determine:

  • compressor performance
  • compressed air consumption
  • air leaks through gaps

Not all flow is the same

The term gas flow can basically refer to three different quantities:

  • velocity flow (m/s) – the mean flow velocity of the measured medium
  • mass flow (kg/s) – the mass of air that flows through the pipe per unit of time
  • volumetric flow (m3/h) – the volume of fluid that flows through the pipe per unit of time t.

Volumetric flow as a measure of compressor performance

Volumetric flow is found in compressor data sheets and actually indicates the compressor's performance. For small compressors, the unit l/min is used; for large compressors, the unit m3/h (1 m3 = 1,000 l). The image shows a screenshot of the e-shop www.kompresory-vzduchotechnika.cz, where volumetric flow expresses the amount of air sucked in from the atmosphere and the amount of air flowing into the air receiver (filling capacity).

Display of volumetric flow and compressor performance in the e-shop

Volumetric flow also helps us compare the performance of individual compressors.
We can calculate the specific power, Pspec – it tells us how many kW are needed to produce a unit volumetric flow of 1 m3/min.

Comparison of performance and specific power of compressors

Be careful when comparing volumetric flows – temperature, pressure, and measurement location are also important

Volumetric air flows can only be compared if they are referenced to the same pressure and the same temperature. Therefore, we must be careful about the conditions under which the given flow value applies.

Conversion to standardized conditions

Flows and quantities of gases can only be compared if they are converted to standardized conditions, pressure, and temperature. However, two standards are used.

Standardized conditions for volumetric flow:

Table of standardized conditions for air flow measurement

The difference between the two flows at two different standardized conditions is 8.7%. Are you measuring volumetric flow under conditions that differ significantly from the standardized ones? Only after conversion can you infer the amount of sucked gas, consumed gas, or the amount of leaked gas due to gaps.

Mathematical formula for converting air flow to standardized conditions

p = absolute pressure in bars, V = volume, T = absolute temperature in K (absolute temperature in K = temperature in °C + 274.15).

Properties of gases according to the equation

An important property of gases is that their volume increases with temperature – this is used, for example, in hot air balloons. The simplest description of these properties and the resulting behavior of gases is the ideal gas law:

p.V = m.R.T

where p is pressure, V is volume, m is mass, R is the gas constant, T is the absolute temperature in K (absolute temperature in K = temperature in °C + 274.15)

The equation implies that volume (measured e.g. in cubic meters) and gas density will change with pressure and temperature, but its mass (in kilograms, pounds, etc.) will not change (law of conservation of mass).

What happens during air compression

During compression, pressure and density increase and air volume decreases. Mass remains unchanged – the law of conservation of mass applies to it.

Diagram of air behavior during the compressor compression process

Air mass therefore remains the same. What does this mean for flow measurement?

The image shows the difference between measurement with a mass meter and a volumetric meter:

  • A thermal mass flow meter determines flow based on mass and always shows the same value regardless of temperature and pressure.
  • A vane flow meter measures the flow velocity, which is converted to volumetric flow based on the pipe dimension. The measured value must be converted to standardized conditions.

Comparison of mass and volumetric air flow measurement

Flow Measurement Methods

a) Mass Flow Meters

The advantage of these flow meters is that they directly measure mass flow independent of pressure and temperature, so there is no need for conversion.

Thermal Mass Flow Meters

A sensor consisting of two platinum resistors is installed in the air stream:

  • R1 measures the gas temperature
  • R2 is heated to achieve a constant temperature and is cooled by the flowing gas
  • The greater the need to keep the R2 temperature constant, the greater the mass flow. The power required to keep the element at this temperature is proportional to the gas mass flow.
Principle of thermal mass flow meter sensor

Calorimetric Flow Meters

Air heating in the section between two resistance temperature sensors S1 and S2 is measured in the bypass channel of the heated channel. The heat source H is placed in the center of the channel.

  • At zero flow m0, temperature spreads evenly on both sides of the heat source.
  • With air flow m1, heat from the heating element H is carried in the direction of flow to one of the temperature sensors.
  • This unbalances the bridge and the differential voltage is amplified; this sensor output is proportional to the medium flow.
Functional diagram of a calorimetric flow meter

Coriolis Flow Meters

Coriolis flow meters also belong to mass meters. They also directly measure mass flow by detecting the phase shift of movements of forcibly oscillating measuring tubes. These are precise and expensive instruments.

b) Velocity Flow Meters

These measure the air flow velocity. Volumetric flow can be calculated from velocity based on the cross-section of the pipe where the measured medium flows.

Turbine and Vane Flow Meters

  • flowing air rotates a turbine, vane, or screw wheel
  • rotation speed is proportional to the mean flow velocity

Example of vane and turbine flow meter

Vortex Flow Meter

An object is inserted into the pipe, causing a change in pressure and velocity. The induced change is sensed, for example, by a piezoelectric or capacitive differential sensor and converted into an electrical signal. The object in vortex flow meters can have various shapes and mountings.

Principle of vortex flow meter

Ultrasonic Flow Meter

Flow velocity affects how fast ultrasonic waves propagate in the flowing medium.

  • Two transmitters V1 and V2 and two corresponding receivers P1 and P2 of ultrasonic waves are placed in succession on the pipe.
  • One transmitter V1 transmits in the direction of flow and the other V2 against the direction.
  • The time for the wave to pass is measured.
  • The difference in times required to pass through the medium is proportional to the flow velocity.
Measuring air flow with ultrasonic sensors

Differential Pressure Flow Meters

a) Measurement with an orifice plate:

  • The pipe cross-section is narrowed by a throttling element: orifice plate, nozzle, Venturi nozzle.
  • Pressure is measured before and after the narrowing with a differential pressure gauge.
  • The pressure difference is proportional to the flow velocity.
Principle of flow measurement using orifice plate and differential pressure

b) Measurement with a probe

  • A multi-port probe is inserted into the pipe across the flowing substance.
  • The conversion of kinetic energy of the flowing fluid into pressure energy is used for measurement.
  • The dynamic pressure pdyn is calculated from the measured total pressure pc and static pressure pstat: pdyn = pc – pstat
Measuring flow using a velocity probe in a pipe

The measurement assembly consists of several elements:

  • throttling device – orifice plate, nozzle, Venturi nozzle, Pitot tube
  • differential pressure gauge – sensing the pressure difference across the throttling element
  • manifold – allows connection of the differential pressure gauge, flushing, and venting of the signal lines

There are also compact meters on the market equipped with an orifice plate, valve connection, differential pressure sensor, and intelligent transmitter.

Flow Meter Installation – Selecting a Suitable Location

Select a straight section without fittings for flow meter installation, where there must be no turbulence.

In the image we see:

  • pipe section before the measurement point – inlet section L1
  • pipe section after the measurement point – outlet section L2

The minimum length of the outlet section L2 should usually be five times the pipe diameter, L2 = min. 5× D.

The minimum length of the inlet section L1 varies for individual flow meters:

  • thermal mass flow meters L1 = min. 15× D
  • vortex flow meters L1 = min. 20× D
  • ultrasonic flow meters L1 = min. 10 to 20× D
  • vane and turbine flow meters L1 = min. 15 to 20× D
Recommended lengths of straight pipe sections for flow meter installation

The inlet section must be longer, up to 50× D, if an valve is installed on the pipe or if there is a bend or narrowing on it.

Always check the equipment documentation for the lengths of sections before and after the measurement point. Example of detailed instructions for thermal mass flow meters:

Table of installation lengths for various pipe configurations

Flow Meter Installation – Creating a Measurement Point

A measurement point must always be created for the flow meter. You can find a detailed description of how to create a measurement point in the instrument documentation. Here is an example of a thermal mass flow meter measurement point:

1. Choose one of these options for the measurement point:

Options for creating a measurement point in the pipe

Calibration of Flow Meters

Flow meters used for commercial purposes must be calibrated according to the metrology law.
In calibration laboratories, they verify using a more precise meter whether the flow meter's accuracy is satisfactory.