Rotameter Correction Calculator (Density Correction Factor)

A rotameter is calibrated for one fluid, usually water, and reads wrong when the liquid's density changes because the float settles at a different height. This rotameter correction calculator converts the scale reading to actual flow using the float density — see the metal tube rotameter working principle and 10 factors in rotameter selection.

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Type in any field to change it. Press × on a value to calculate that field instead.

How to use the rotameter correction calculator

Enter the scale reading, the density of the calibration fluid (998 kg/m³ for water at 20 °C), the density of the liquid you are measuring and the float density. You get the correction factor, the actual volume flow and the mass flow. Enter a desired actual flow and clear the scale reading to find what the scale should show.

Rotameter density correction formula

Qactual = Qscale × √[ (ρf − ρ2) ρ1 ÷ ((ρf − ρ1) ρ2) ]

Example

A water-calibrated rotameter with a stainless-steel float (8000 kg/m³) reads 10 L/min on a liquid of 800 kg/m³:

  • CF = √[(8000 − 800) × 998 ÷ ((8000 − 998) × 800)] = 1.1326
  • Actual flow = 10 × 1.1326 = 11.33 L/min
  • Mass flow = 544 kg/h

Correction factors for a water-calibrated meter (stainless float)

Liquid Density Correction factor
Petrol (gasoline) 740 kg/m³ 1.183
Ethanol 789 kg/m³ 1.141
Diesel 832 kg/m³ 1.108
Light oil 900 kg/m³ 1.060
Water (cal. fluid) 998 kg/m³ 1.000
Seawater 1025 kg/m³ 0.985
Glycol 50% 1070 kg/m³ 0.961
Sulphuric acid 98% 1840 kg/m³ 0.691

Densities are typical values at about 20 °C; use your actual fluid density.

Notes

  • Correction assumes the same float and tube and a viscosity close to the calibration fluid.
  • For large density differences it is better to order the meter scaled for the actual fluid.

Frequently asked questions

How do I correct a rotameter for a different liquid?

Multiply the scale reading by √[(ρf − ρ2) ρ1 ÷ ((ρf − ρ1) ρ2)], where ρf is the float density, ρ1 the calibration fluid density and ρ2 the actual fluid density.

Does a lighter liquid read high or low?

Low. A lighter liquid gives less buoyancy and drag, so the float sits lower; the actual flow is higher than the scale shows (correction factor above 1).

What about gas rotameters?

Because the float is far denser than any gas, the correction simplifies to Q2 = Q1 × √(ρ1 ÷ ρ2), where density depends on gas, pressure and temperature.

Does viscosity matter?

Yes, for viscous liquids. This correction assumes viscosity close to the calibration fluid; above a few cP the manufacturer's viscosity immunity ceiling should be checked.

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