Q$2$:

If a single spherical quartz particle of $100m$ diameter is settled in water, find its drag coefficient $(C_D)$ and settling velocity. Also use Richardson and Zaki's correlation to calculate the drag coefficient $(C_1)$ and settling velocity for a mass of a similar particle setting at a concentration of $25\%$ by volume. Given that quartz density: $2000k\frac{g}{m^3},$ water density: $1000k\frac{g}{m^3}$ and water viscosity: $lx{10}^{-3}$Pas. Note that $g=9\mathrm{.}81\frac{m}{se{c}^2}$

$[30$ Marks$]$