Fans and energy

Series and Parallel Fan Curve Calculator

Combine matched fan curves in series or parallel and compare their resulting operating points.

Calculation inputs

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Whole-number count from 1 to 100. All entered fans are assumed to have the same curve at compatible speed/density.
Parallel adds flow at equal pressure; series adds pressure at equal flow.
One flow and matching fan pressure per line, sorted by strictly increasing CFM. Use actual manufacturer/test data at the selected speed/density and a consistent total/static basis. Example is synthetic, not a real fan.
A known airflow used to define the system friction curve, not an assumed operating point.
Flow-dependent friction component only. Exclude the separate flow-independent term below.
Enter zero for a purely frictional closed air circuit. This is a system-curve constant, not fan static pressure or TESP.

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Formula and source basis

Concepts behind this calculation

Combine identical fan curves in parallel or series, then find their intersections with the actual system curve instead of multiplying a single duty-point airflow.

Identical fans in parallel contribute flow at a shared pressure, stretching the combined curve horizontally. Identical fans in series contribute pressure at a shared flow, stretching it vertically. These are combinations of fan curves, not promises to multiply the installed system airflow.

The combined curve must still intersect the same quadratic-plus-constant system model. Increased flow raises friction resistance, so added parallel fans generally do not produce a proportional flow increase. The ideal combination also omits installation interaction, failed-fan backflow, unequal performance, and sequencing effects that can change real results.

How to use this calculator

  1. Enter Identical fans and select Fan connection.
  2. Provide the single-fan Supplied fan curve at the applicable speed and density.
  3. Enter System reference airflow, Friction pressure at reference airflow, and Flow-independent pressure term, then inspect the combined operating candidates.

Calculation method and applicability

Parallel: add flows at equal pressure. Series: add pressures at equal flow. Intersect the combined fan curve with P_constant + kQ².

Q = combined airflow (CFM); pressure is in. w.g. The number of fans is a count. Series curves add pressure at common flow; parallel curves add flow at common pressure.

Input definitions and units

Identical fans (count)
Whole-number count from 1 to 100. All entered fans are assumed to have the same curve at compatible speed/density.
Fan connection
Parallel adds flow at equal pressure; series adds pressure at equal flow. Choices: Parallel — shared pressure; Series — shared airflow.
Supplied fan curve (CFM, in. w.g.)
One flow and matching fan pressure per line, sorted by strictly increasing CFM. Use actual manufacturer/test data at the selected speed/density and a consistent total/static basis. Example is synthetic, not a real fan.
System reference airflow (CFM)
A known airflow used to define the system friction curve, not an assumed operating point.
Friction pressure at reference airflow (in. w.g.)
Flow-dependent friction component only. Exclude the separate flow-independent term below.
Flow-independent pressure term (in. w.g.)
Enter zero for a purely frictional closed air circuit. This is a system-curve constant, not fan static pressure or TESP.

How to interpret the result

Read combined airflow and pressure at the system intersection, rather than multiplying a single-fan duty point. Multiple intersections still require separate stability and equipment review.

Worked examples

Worked example

Inputs: Two identical fans, each with synthetic points (0 CFM, 2 in. w.g.) and (2,000, 0), in parallel. System friction is 1 in. w.g. at 1,000 CFM, constant term zero.

Calculation: The combined parallel curve doubles flow at each pressure, but the system resistance rises with the square of total flow.

Result: About 1,186.141 CFM at 1.407 in. w.g.; not twice the single-fan 1,000 CFM operating point.

Assumptions and limits

  • Fan data are interpolated linearly only between supplied points. No extrapolation, manufacturer data download or invented fan curve is performed.
  • System resistance is modeled as a quadratic friction term plus a nonnegative flow-independent term. Real equipment, controls and flow regimes may differ.
  • Multiple intersections are all shown. Dynamic stability, stall, surge, transient behavior, noise and safe fan operating range need separate review.
  • All fan/system pressures must use compatible total/static definitions and air-density conditions. The synthetic example is not a real product selection.
  • This ideal combination excludes fan-to-fan interaction, inlet/outlet system effect, unequal fans, failed-fan backflow, control sequencing and actual installation losses.
  • More fans do not guarantee proportionally more system airflow. Series/parallel curve combination still requires the shared system intersection.

FAQs

Should I enter the combined curve in Supplied fan curve?

Enter the curve for one fan. The selected count and connection construct the ideal combined curve; entering an already combined curve would repeat that scaling.

Can I use this model for fans of different sizes?

No. Every entered fan is assumed to share the same curve at compatible speed and density. Unequal fans require a different combination analysis.

Sources

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