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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.


:<math>\tau = F\left( \frac {\partial u} {\partial y} \right) </math>


where:
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∂''u''/∂''y'' is the [[shear rate]] or the [[velocity]] [[gradient]] perpendicular to the plane of shear (SI unit s<sup>−1</sup>).
 
The quantity
 
:<math>\mu_{\operatorname{eff}} = { {F \left( \frac {\partial u} {\partial y} \right)}\bigg/{\frac {\partial u} {\partial y}}} </math>
 
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]]
*[[Newtonian fluid]]
*[[Non-Newtonian fluid]]
 
[[Category:Non-Newtonian fluids]]

Revision as of 03:37, 28 February 2014


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