Problem $4$:

A slurry of coal$-$water is drained from a tank through a $17\mathrm{.}3$m long horizontal steel pipe. The

pipe has an inside diameter of $3\mathrm{.}0$in$.$ The open end of the pipe is $2\mathrm{.}5$m below the level of the

tank$.$ The coal slurry acts like a Bingham Plastic with a yield stress of $10$ Pa$,$ a plastic viscosity

of $50$cpoise, and a density of $1800$ kg$/$m$3$

$.$

$($a$)$ At what velocity will pure water drain from the pipe?

$($b$)$ At what velocity will the coal$-$slurry drain from the pipe?

$($Hint: this problem will require you to do an iterative procedure using the velocity$)$

Need help setting up equations does not need iteratively solved