# Flow of a Carreau Fluid in a Circular Tube

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A Carreau fluid is a generalized type of Newtonian fluid in which viscosity depends upon shear rate, .

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Contributed by: Housam Binous (December 2010)

Open content licensed under CC BY-NC-SA

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According to the Carreau model, first proposed by Pierre Carreau,

.

For , this reduces to a Newtonian fluid with .

For , we obtain a power-law fluid with .

References:

[1] H. Binous,"Introducing Non-Newtonian Fluid Mechanics Computations with *Mathematica* in the Undergraduate Curriculum,"* Chemical Engineering Education*, 41(1), 2007 pp. 59–64.

[2] J. O. Wilkes, *Fluid Mechanics for Chemical Engineers*, Upper Saddle River, NJ: Prentice Hall, 1999.

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