You would like to determine the pressure drop-flow rate relation for a slurry in a pipeline. To do this, you must determine the rheological properties of the slurry, so you test it in the lab by pumping it through a $1 / 8 \mathrm{in}$. ID pipe that is $10 \mathrm{ft}$ long. You find that it takes $5 \mathrm{psi}$ pressure drop in the pipe to produce a flow rate of $100 \mathrm{~cm}^{3} / \mathrm{s}$ and that $10 \mathrm{psi}$ results in a flow rate of $300 \mathrm{~cm}^{3} / \mathrm{s}$.

(a) What can you deduce about the rheological characteristics of the slurry from these data?

(b) If it is assumed that the slurry can be adequately described by the power law model, what are the values of the fluid properties, as deduced from the data?

(c) If the Bingham plastic model is used instead of the power law model to describe the slurry, what are its properties?