Generalized Newtonian fluid

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

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where: ∂u/∂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⋅s).

The most commonly used types of generalized Newtonian fluids are:

• Power-law fluid
• Cross fluid
• Carreau fluid
• Second order fluid

See also

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