Carreau fluid
Encyclopedia
Carreau fluid is a type of generalized Newtonian fluid
where viscosity,
, depends upon the shear rate, 
, by the following equation:
Where:
, 
and n are material coefficients.
At low shear rate (
)
Carreau fluid behaves as a Newtonian fluid
and at high shear rate (
) as a power-law fluid
.
The model was first proposed by Pierre Carreau
.
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.\tau = F\left where:...
where viscosity,
, depends upon the shear rate, , by the following equation:Where:
, and n are material coefficients.At low shear rate (
)Carreau fluid behaves as a Newtonian fluid
Newtonian fluid
A Newtonian fluid is a fluid whose stress versus strain rate curve is linear and passes through the origin. The constant of proportionality is known as the viscosity.-Definition:...
and at high shear rate (
) as a power-law fluidPower-law fluid
A Power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid for which the shear stress, τ, is given by\tau = K \left^n where:...
.
The model was first proposed by Pierre Carreau
Pierre Carreau
Pierre J. Carreau is a modern rheologist, the author of the model of Carreau fluid. He is currently teaching at École Polytechnique in Montreal and the founding director of the Applied Research Center on Polymers at this University.-References:...
.
See also
- Navier-Stokes equationsNavier-Stokes equationsIn physics, the Navier–Stokes equations, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of fluid substances. These equations arise from applying Newton's second law to fluid motion, together with the assumption that the fluid stress is the sum of a diffusing viscous...
- FluidFluidIn physics, a fluid is a substance that continually deforms under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids....
- Cross fluid
- Power-law fluidPower-law fluidA Power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid for which the shear stress, τ, is given by\tau = K \left^n where:...
- Generalized Newtonian fluidGeneralized Newtonian fluidA 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.\tau = F\left where:...