Mass Flow Meter - Density and Volume Measurements

Density and Volume Measurements

The mass flow of a u-shaped coriolis flow meter is given as:

where Ku is the temperature dependent stiffness of the tube, K a shape-dependent factor, d the width, τ the time lag, ω the vibration frequency and Iu the inertia of the tube. As the inertia of the tube depend on its contents, knowledge of the fluid density is needed for the calculation of an accurate mass flow rate.

If the density changes too often for manual calibration to be sufficient, the coriolis flow meter can be adapted to measure the density as well. The natural vibration frequency of the flow tubes depend on the combined mass of the tube and the fluid contained in it. By setting the tube in motion and measuring the natural frequency, the mass of the fluid contained in the tube can be deduced. Dividing the mass on the known volume of the tube gives us the density of the fluid.

Such an instantaneous density measurement in turn allow us to calculate the flow in volume per time, by dividing mass flow with density.

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