High Quality Content by WIKIPEDIA articles! A Power-law fluid is a type of generalized Newtonian fluid for which the shear stress, , is given by tau = K left( frac {partial u} {partial yright)^n where: K is the flow consistency index (SI units Pa sn), u/ y is the shear rate or the velocity gradient perpendicular to the plane of shear (SI unit s 1), and n is the flow behaviour index (dimensionless). The quantity mu_{operatorname{eff}} = K left( frac {partial u} {partial y} right)^{n-1} represents an apparent or effective viscosity as a function of the shear rate (SI unit Pa s).
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