6. (10 points) Lei designs an experiment to measure the viscosity of a variety of fluids. He fills a gap
between two parallel plates with Fluid X, and then pulls the top plate at a fixed velocity, U, and measures
the force, F, required to maintain a constant velocity. A couple of weeks later, he decides to repeat his
experiments, but this time he decides to pull the top plate at a higher velocity, v = 2U, and measure this
new force, $F_{2U}$. Predict whether
$F_{2U} > 2F_{U}$ or $F_{2U} = 2F_{U}$ or $F_{2U} < 2F_{U}$
For the following situations
a) Fluid X is a Newtonian fluid. (4 points)
b) Fluid X is a non-Newtonian, shear thickening fluid. (3 points)
c) Fluid X is a non-Newtonian, shear thinning fluid. (3 points)
