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.
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.