Mass flow meter
The mass flow meter does not measure the volume per unit time (e.g., cubic meters per second) passing through the device; it measures the mass per unit time (e.g., kilograms per second) flowing through the device. Volumetric flow rate is the mass flow rate divided by the fluid density. If the density is constant, then the relationship is simple. If the fluid has varying density, then the relationship is not simple. The density of the fluid may change with temperature, pressure, or composition, for example. The fluid may also be a combination of phases such as a fluid with entrained bubbles.
Actual density can be determined due to dependency of sound velocity on the controlled liquid concentration.
Viscosity
where formula_58 is the Boltzmann constant, formula_59 the molecular mass, and formula_60 a numerical constant on the order of formula_61. The quantity formula_62, the mean free path, measures the average distance a molecule travels between collisions. Even without "a priori" knowledge of formula_60, this expression has interesting implications. In particular, since formula_62 is typically inversely proportional to density and increases with temperature, formula_10 itself should increase with temperature and be "independent" of density at fixed temperature. In fact, both of these predictions persist in more sophisticated treatments, and accurately describe experimental observations. Note that this behavior runs counter to common intuition regarding liquids, for which viscosity typically "decreases" with temperature.