Industrial Engineering

Fan Affinity Laws & Sizing Calculator

Scale fan CFM, static pressure and motor brake horsepower across RPM speed variations and geometrically similar impellers using aerodynamic affinity laws.

◈ Local Processing · Inputs Are Not Uploaded

Inputs & Settings

This workspace processes data in the current browser; input is not saved upon refresh.

Results workbench

Fill in the details, then click Generate Results.

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Review details, copy or download, and then continue your work.

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How to use Fan Affinity Laws& Sizing Calculator

  1. Enter Baseline airflow and adjust the options as needed.
  2. Run the tool and inspect its results, evidence and limitations.
  3. Copy or download the result, then verify it against the actual website, source data or business records.

Try a concrete example

At baseline 1450 RPM with 2000 CFM, 1.5 in.wg, 1.2 kW: accelerating to 1750 RPM (ratio 1.207) increases airflow to 2414 CFM, pressure to 2.18 in.wg, and power to 2.11 kW (+75.8%).

How to interpret results

Calculates linear airflow, quadratic static pressure, and cubic brake horsepower scaling based on turbomachinery affinity laws with motor overload warnings.

Frequently asked questions

What are Fan Affinity Laws?

Fan affinity laws are empirical turbomachinery relationships predicting airflow, pressure, and power changes across RPM, impeller geometry, or fluid density.

Why does a 20% speed increase require over 70% more motor power?

Power scales with the cube of speed (P2/P1 = (N2/N1)³). A 1.2x speed multiplier requires 1.2³ = 1.728x power (+72.8%). Increasing speed without verifying motor nameplate capacity risks motor burnout.

What effect does impeller diameter scaling have on performance?

At constant RPM, airflow scales with diameter cubed (Q ∝ D³), pressure with diameter squared (SP ∝ D²), and power with diameter to the fifth power (P ∝ D⁵). Trimming or enlarging impellers causes massive aerodynamic shifts.

When should the air density ratio be adjusted?

Standard conditions assume sea level at 20°C (1.204 kg/m³). High altitudes or hot boiler exhaust reduce air density; while CFM remains constant, static pressure and power decrease proportionally with density.

Are there discrepancies between measured field values and affinity law calculations?

Affinity laws assume turbulent flow and kinematic similarity. Duct resistance shifts, stall/surge regions, or belt slippage can cause 3% to 8% variances in field measurements.

fan affinity laws calculator practical guide and common questions

What does a fan affinity laws calculator do?

Fan affinity laws govern turbomachinery scaling: airflow varies directly with speed and cubed with diameter, static pressure scales with squared speed, and shaft power changes with cubed speed and fifth power of diameter.

Who is this for, and when is it useful?

Industrial ventilation engineers, HVAC system designers and equipment maintenance leads evaluating performance changes before modifying fan speed or impeller size.

How do I use this fan affinity laws calculator?

Enter baseline speed, airflow, static pressure and power, then input target RPM, diameter or air density to calculate new operating points using affinity laws.

How should I interpret the results?

Speeding up a fan requires careful motor rating checks because power increases cubically; a 20 percent speed increase increases required motor horsepower by 72.8 percent.

Where is the work performed, and which services receive data?

Fan speed, pressure and power affinity calculations run locally in your browser using fluid mechanics equations. Equipment operating data is never uploaded to any remote server.