# Generalized Newtonian fluid

A generalized Newtonian fluid is an idealized fluid for which the shear stress, "&tau;", is a function of shear rate at the particular time, but not dependent upon the history of deformation.

:$au = Fleft\left( frac \left\{partial u\right\} \left\{partial y\right\} ight\right)$

where:&part;"u"/&part;"y" is the shear rate or the velocity gradient perpendicular to the plane of shear (SI unit s−1).

The quantity

:

represents an "apparent" or "effective viscosity" as a function of the shear rate (SI unit Pa&sdot;s).

The most commonly used types of generalized Newtonian fluids are:
*Power-law fluid
*Cross fluid
*Carreau fluid
*Second order fluid

ee also

*Navier-Stokes equations
*Fluids
*Cross fluid
*Carreau fluid
*Power-law fluid

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