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Part I (turn in during class on Friday)
1. Open the “Laminar Flow of a Power-Law Fluid in a Horizontal Pipe” demonstration in
Wolfram Mathematica (if you need the instructions for accessing these demonstrations, they
are available in the first weekly assignment on ICON).
This demonstration compares the velocity profiles of a power-law fluid to that of a
Newtonian fluid flowing in a horizontal pipe. You can change n-value, the power-law
exponent, of the fluid.
a) Explain what happens when you change the power-law exponent of the fluid. How do the
profiles change when the fluid is a shear-thinning fluid versus a shear-thickening fluid?
b) Based on what you learned in class about these types of fluids, explain why the velocity
profiles look the way they do.
2. Now open the “Vertical Laminar Flow of a Bingham Liquid Film” demonstration. This
demonstration compares the velocity profiles of a Bingham plastic to that of a Newtonian
fluid. For pipe flow, you can imagine that this is the velocity profile of half the pipe, from the
center of the pipe to the pipe wall.
a) Explain what happens to the velocity profiles when you change the zero-shear viscosity.
b) Explain what happens to the velocity profiles when you change the yield stress.
c) Which variable had a larger impact on the velocity profiles? Explain why this would be
the case. Did you expect this?
CBE:3109 Fluid Flow Weekly Assignment – Due Fri, May 4
Part II (turn in to the ICON dropbox)
Research applications for non-Newtonian fluids (for example, shear thickening fluids in body
armor) and type a summary of two different applications (2-page minimum, 12-point Times New
Roman font, single spaced, 1” margins). You can include pictures or diagrams of your
applications, but these do not count toward the 2-page minimum. Make sure you explain why
using a non-Newtonian fluid, rather than a Newtonian fluid, is important for that application.
Also describe what in your research you found surprising, puzzling, or new. Make sure you
reference your sources properly!
