Non-Newtonian Fluid Model Determination (for power law and Bingham fluids)

model determination for pipe flow of power law and Bingham fluids

Professor Jim Wilkes provides representative values of the volumetric flow rate versus the applied pressure gradient for horizontal flow in a pipe [1]. The pipe radius is equal to 0.01 m. We use these representative values, in conjunction with the analytical expression of the volumetric flow rates determined using Mathematica, to compute the parameters of the constitutive equation for both power law and Bingham fluids.

Reference:
[1] Wilkes, J. O., Fluid Mechanics for Chemical Engineers, Prentice Hall, Upper Saddle
River, 1999.

For a treatment using Mathematica, please visit the following links:

http://library.wolfram.com/infocenter/Articles/6739/

http://library.wolfram.com/infocenter/MathSource/5152/