# Carreau fluid

This article may be too technical for most readers to understand. (January 2022) |

**Carreau fluid** in physics is a type of generalized Newtonian fluid where viscosity, , depends upon the shear rate, , by the following equation:

Where: , , and are material coefficients.

= viscosity at zero shear rate (Pa.s)

= viscosity at infinite shear rate (Pa.s)

= characteristic time (s)

= power index

The dynamics of fluid motions is an important area of physics, with many important and commercially significant applications.

Computers are often used to calculate the motions of fluids, especially when the applications are of a safety critical nature.

## Carreau Fluid Shear Rates[edit]

- At low shear rate () a Carreau fluid behaves as a Newtonian fluid with viscosity .
- At intermediate shear rates (), a Carreau fluid behaves as a Power-law fluid.
- At high shear rate, which depends on the power index and the infinite shear-rate viscosity , a Carreau fluid behaves as a Newtonian fluid again with viscosity .

## Origin of Carreau Fluid Model[edit]

The model was first proposed by Pierre Carreau.

## See also[edit]

## References[edit]

- Kennedy, P. K.,
*Flow Analysis of Injection Molds*. New York. Hanser. ISBN 1-56990-181-3