Cross Fluid
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Cross Fluid
A Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the following equation: :\mu_\mathrm(\dot \gamma) = \mu_\infty + \frac where \mu_\mathrm(\dot \gamma) is viscosity as a function of shear rate, \mu_\infty , \mu_0 , k and ''n'' are coefficients. The zero-shear viscosity \mu_0 is approached at very low shear rates, while the infinite shear viscosity \mu_\infty is approached at very high shear rates. See also * Navier-Stokes equations *Fluid *Carreau fluid *Power-law fluid *Generalized Newtonian fluid A generalized Newtonian fluid is an idealized fluid for which the shear stress is a function of shear rate at the particular time, but not dependent upon the history of deformation. Although this type of fluid is non-Newtonian (i.e. non-linear) in n ... References *Kennedy, P. K., ''Flow Analysis of Injection Molds''. New York. Hanser. {{ISBN, 1-56990-181-3 Non-Newtonian fluids ...
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Generalized Newtonian Fluid
A generalized Newtonian fluid is an idealized fluid for which the shear stress is a function of shear rate at the particular time, but not dependent upon the history of deformation. Although this type of fluid is non-Newtonian (i.e. non-linear) in nature, its constitutive equation is a generalised form of the Newtonian fluid. Generalised Newtonian fluids satisfy the following rheological equation: :\tau = \mu_( \dot ) \dot where \tau is the shear stress, and \dot the shear rate. The quantity \mu_ represents an ''apparent'' or ''effective viscosity'' as a function of the shear rate. The most commonly used types of generalized Newtonian fluids are: *Power-law fluid *Cross fluid *Carreau fluid *Bingham fluid It has been shown that Lubrication theory may be applied to all Generalized Newtonian fluids in both two and three dimensions. See also *Navier–Stokes equations In physics, the Navier–Stokes equations ( ) are partial differential equations which describe the motion of vis ...
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