BIZOMAT MAKEOS · Engineering

Extraction Duct Check (Total Airflow, Duct Velocity, Friction Loss, Fan Pressure)

For a dust or fume extraction system with several hoods on one duct, is the duct velocity high enough to carry the dust, what is the pressure loss, and can the fan supply it?

Check of a local exhaust ventilation duct: the total airflow from the hoods, the duct velocity against the least transport velocity for the dust, the Reynolds number, friction factor and pressure loss in the duct and fittings at the full flow (as the pipe friction tool with air properties), and the fan pressure needed with the hood entry loss, against the fan pressure available.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Number of hoodshoodsNumber of hoods or extraction points open at once.
Airflow per hoodm³/hAirflow each hood needs to capture the contaminant.
Main duct diametermmDiameter of the main duct.
Duct length to the fanmLength of duct from the furthest hood to the fan.
Duct roughnessmmRoughness of the duct (galvanised spiral duct about 0.15 mm).
Fittings loss coefficient (total)Sum of loss coefficients of bends, junctions and the filter connection.
Air densitykg/m³Air density.
Air kinematic viscositycStKinematic viscosity of air (about 15 cSt at 20 °C).
Limits
Least transport velocity for the dustm/sLeast velocity to keep the dust airborne (from your ventilation guidance; heavy dusts need 20 m/s or more).
Hood entry lossPaEntry loss of the hood itself.
Fan pressure available at this flowPaFan pressure from its curve at the total airflow, less the filter loss.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Number of hoods
Illustration: Number of hoodsA row of identical items being counted; Number of hoods is how many there are.nExample: 4 hoodsNumber of hoods
What it is
How many hoods or extraction points draw air through the main duct at the same time, which sets the total airflow.
Units and format
Enter a number in hoods: hoods. The form accepts 1 hoods to 1000 hoods. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 hoods as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Total airflow, duct velocity and pressure loss all rise with it.
Get it right
Count the hoods that can be open together in practice, not every hood connected to the system.
What this means: Airflow per hood
Illustration: Airflow per hoodA pipe with liquid or gas moving through it; Airflow per hood is the volume that passes per unit of time.qExample: 800 m³/hAirflow per hood
What it is
The volume of air each hood must draw to capture the dust or fume at its source, which the tool multiplies by the number of hoods.
Units and format
Enter a number in m³/h: cubic metres per hour. The form accepts 0.000001 m³/h to 10000000 m³/h. Required: the tool does not calculate until every input is valid.
Example
The form opens with 800 m³/h as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Duct velocity rises in proportion and the duct loss roughly with its square.
Get it right
Enter cubic metres per hour per hood: multiply cubic metres per second by 3600.
What this means: Main duct diameter
Illustration: Main duct diameterA circle with a line straight through its centre from edge to edge, marking the diameter Main duct diameter.dmeasured acrossthe centreExample: 250 mmMain duct diameter
What it is
The inside diameter of the main duct carrying the total airflow from the hoods to the fan.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 5000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A smaller duct raises the velocity and the pressure loss steeply; a larger one may let dust settle.
Get it right
Use the inside diameter of a round duct; for a rectangular duct this tool does not apply directly.
What this means: Duct length to the fan
Illustration: Duct length to the fanA bar with a dimension line and arrows from one end to the other, marking the length Duct length to the fan.LExample: 25 mDuct length to the fan
What it is
The length of duct the air travels from the furthest hood to the fan, used for the friction loss along the duct.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 10000 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 25 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The straight-duct friction loss rises in proportion to the length.
Get it right
Measure along the duct route in metres, including vertical runs, not the straight-line distance.
What this means: Duct roughness
Illustration: Duct roughnessA magnified surface profile with peaks and valleys around a mean line; the average deviation from that line is Duct roughness.mean lineεExample: 0.15 mmDuct roughness
What it is
The absolute roughness of the inside duct surface, the average height of the surface bumps that cause friction.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 10 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.15 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A rougher duct raises the friction factor and the duct loss.
Get it right
Enter it in millimetres from duct material data; it is a height, not a relative roughness ratio.
What this means: Fittings loss coefficient (total)
Illustration: Fittings loss coefficient (total)Two bars: a base value and the same value multiplied by Fittings loss coefficient (total), the factor.base valuewith factorΣKExample: 3Fittings loss coefficient (total)
What it is
The total of the loss coefficients for every bend, junction, transition and the filter connection along the duct route, each counted in velocity heads.
Units and format
Enter a plain number with no unit. The form accepts 0 to 1000. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The fittings loss rises in proportion to this total.
Get it right
Add the coefficients for all fittings on the route from the duct fittings maker’s data; do not include the hood entry here.
What this means: Air density
Illustration: Air densityA cube of material: density Air density is its mass divided by the volume it fills.massvolumeρExample: 1.2 kg/m³Air density
What it is
The mass per cubic metre of the air being moved, which depends on its temperature, altitude and moisture.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 5 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.2 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The duct pressure loss rises in proportion to the density.
Get it right
Take it for the actual air temperature and site altitude; hot or high-altitude air is less dense.
What this means: Air kinematic viscosity
Illustration: Air kinematic viscosityFluid layers between a fixed and a moving plate, sliding past each other; Air kinematic viscosity is the fluid’s resistance to that flow.νExample: 15 cStAir kinematic viscosity
What it is
The kinematic viscosity of the air in the duct, used for the Reynolds number and the friction factor.
Units and format
Enter a number in cSt: centistokes (kinematic viscosity, 1 cSt = 1 mm²/s). The form accepts 0.000001 cSt to 1000 cSt. Required: the tool does not calculate until every input is valid.
Example
The form opens with 15 cSt as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Enter centistokes: 1 cSt = 1 mm²/s = 0.000001 m²/s.

Limits

What this means: Least transport velocity for the dust
Illustration: Least transport velocity for the dustA marker moving along a track; Least transport velocity for the dust is the distance it covers per unit of time.vdistance ÷ timeExample: 15 m/sLeast transport velocity for the dust
What it is
The lowest air speed in the duct that keeps the dust or particles carried along without settling, for the type of contaminant extracted.
Units and format
Enter a number in m/s: metres per second. The form accepts 0.000001 m/s to 100 m/s. Required: the tool does not calculate until every input is valid.
Example
The form opens with 15 m/s as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Only moves the pass or fail line for velocity; the duct velocity does not change.
Get it right
Take it from your ventilation design guidance for the specific dust; heavy or sticky dusts need more.
What this means: Hood entry loss
Illustration: Hood entry lossA pressure gauge whose needle moves with Hood entry loss; the needle follows the value you type.pExample: 250 PaHood entry loss
What it is
The pressure lost as air enters the hood itself, added to the duct loss to give the total pressure the fan must provide.
Units and format
Enter a number in Pa: pascals. The form accepts 0 Pa to 100000 Pa. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 Pa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Adds directly to the fan pressure needed.
Get it right
Take it from the hood maker’s data or ventilation design guidance for the hood shape.
What this means: Fan pressure available at this flow
Illustration: Fan pressure available at this flowA pressure gauge whose needle moves with Fan pressure available at this flow; the needle follows the value you type.pExample: 2000 PaFan pressure available at this flow
What it is
The pressure the fan delivers at the total airflow, read from its curve, after the filter or collector loss is taken off.
Units and format
Enter a number in Pa: pascals. The form accepts 0.000001 Pa to 1000000 Pa. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2000 Pa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Only moves the pass or fail line for the fan; the pressure needed does not change.
Get it right
Read the fan curve at the calculated total airflow and subtract the loss of a loaded filter.

Method and formulas

  1. Total airflow = hoods × airflow per hood; velocity = flow ÷ duct area.
  2. Duct loss = (f L ÷ d + ΣK) ρ v² ÷ 2 with f from Colebrook (as the pipe friction tool with air properties).
  3. Fan pressure needed = duct loss + hood entry loss.
  4. Example: 3,200 m³/h at 18.108 m/s; 959.06 Pa in the duct and 1,209.1 Pa in all.

Limitations

  • Full flow taken over the whole duct length; branches carry less and need their own checks.
  • Clean duct; dust build-up and a loaded filter raise the loss.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size the main duct for a workshop extraction system
  • Check a fan before adding a hood
  • Check dust will not settle in a duct

Who it is for

  • Ventilation engineers
  • Safety advisers
  • Plant engineers

What you get

  • Total airflow and duct velocity
  • Duct pressure loss
  • Fan pressure needed

Interpreting the result

  • Duct velocity must stay above the transport velocity everywhere, so a duct that is too large is as bad as one that is too small.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 3024–3027. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

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Open the Extraction Duct Check (Total Airflow, Duct Velocity, Friction Loss, Fan Pressure) calculator