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Apparent viscosity (sometimes denoted η) is the shear stress applied to a fluid divided by the shear rate (
Contents
Application
A single viscosity measurement at a constant speed in a typical viscometer is a measurement of the apparent viscosity of a fluid. In the case of non-Newtonian fluids, measurement of apparent viscosity without knowledge of the shear rate is of limited value: the measurement cannot be compared to other measurements if the speed and geometry of the two instruments is not identical. An apparent viscosity that is reported without the shear rate or information about the instrument and settings (e.g. speed and spindle type for a rotational viscometer) is meaningless.
Multiple measurements of apparent viscosity at different, well-defined shear rates, can give useful information about the non-Newtonian behaviour of a fluid, and allow it to be modeled.
Power-law fluids
In many non-Newtonian fluids, the shear stress due to viscosity,
where
These fluids are called power-law fluids.
To ensure that
where the term
gives the apparent viscosity.