Advanced Exhaust Flow Calculator

Size exhaust ducts using reliable engineering relationships. Compare velocity, density, pressure, and flow outputs instantly. Build cleaner designs with graphs, exports, and practical guidance.

Exhaust Flow Input Form

Use meters for metric or inches for imperial.
Use meters for metric or inches for imperial.
Use meters for metric or inches for imperial.
Use m/s for metric or ft/min for imperial.
Use kg/s for metric or lb/s for imperial.
Use °C for metric or °F for imperial.
Use kPa for metric or psi for imperial.
Use kg/m³ for metric or lb/ft³ for imperial.
Use meters for metric or feet for imperial.
Use mm for metric or inches for imperial.
Use Pa for metric or inH₂O for imperial.
Optional for shaft power estimation.
Use m³ for metric or ft³ for imperial.
Reset

Example Data Table

Item Example Value Unit
Duct shape Round -
Diameter 0.40 m
Velocity 12.00 m/s
Gas temperature 35.00 °C
Absolute pressure 101.325 kPa
Duct length 12.00 m
Roughness 0.15 mm
Volumetric flow result 1.5080 m³/s
Mass flow result 1.7274 kg/s
Estimated pressure loss 43.57 Pa

Formula Used

Round duct area: A = πD² / 4

Rectangular duct area: A = W × H

Volumetric flow rate: Q = A × V

Mass flow rate: ṁ = ρ × Q

Hydraulic diameter: Dh = 4A / P, where P is wetted perimeter.

Dynamic pressure: q = 0.5 × ρ × V²

Reynolds number: Re = ρVDh / μ

Darcy pressure loss: ΔP = f × (L / Dh) × (0.5ρV²)

Fan shaft power: Power = Q × ΔP / η

Mach number: M = V / a, where a is gas sound speed.

How to Use This Calculator

  1. Select metric or imperial units.
  2. Choose round or rectangular duct geometry.
  3. Enter either exhaust velocity or mass flow rate.
  4. Provide gas temperature and absolute pressure.
  5. Choose automatic density or enter density manually.
  6. Add duct length and roughness for pressure loss estimation.
  7. Enter fan pressure rise and efficiency for power estimation.
  8. Optionally add room volume to estimate air changes per hour.
  9. Press the calculate button to show results above the form.
  10. Use the export buttons for CSV and PDF reporting.

Frequently Asked Questions

1. What does this exhaust flow calculator solve?

It estimates exhaust velocity, volumetric flow, mass flow, dynamic pressure, Reynolds number, Mach number, duct friction loss, travel time, air changes, and fan power from one form.

2. When should I use velocity mode?

Use velocity mode when duct speed is already known from a design target, balancing report, or equipment requirement and you want the resulting flow rate.

3. When should I use mass flow mode?

Use mass flow mode when process exhaust is specified by mass discharge, such as heated gas, combustion products, or emissions data, and you need velocity.

4. Why is hydraulic diameter important?

Hydraulic diameter lets rectangular ducts use pressure-loss and Reynolds relationships similar to round ducts. It links area and wetted perimeter into one practical flow dimension.

5. What does Reynolds number tell me?

Reynolds number indicates whether the flow is likely laminar or turbulent. That matters because friction factor and pressure loss change strongly with flow regime.

6. Is the pressure loss result the total system loss?

No. It estimates straight-duct friction loss from length, diameter, roughness, and velocity. Bends, dampers, hoods, filters, and transitions should be added separately.

7. Why can density be automatic or manual?

Automatic density uses absolute pressure and temperature for quick engineering estimates. Manual density is useful when gas composition differs from air or has measured properties.

8. What does the graph show?

The graph shows how volumetric flow and estimated friction loss move as exhaust velocity changes around the solved condition. It helps visualize operating sensitivity.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.