All groups

The batch of two types of powder, $x$ and $Y$ both have the same PSD given in Table $1.$

Spherical incompressible powder particles with:

$35kg$ of powder $x,$ density $1242k\frac{g}{m^3}$

$25kg$ of powder $Y,$ density $2980k\frac{g}{m^3}$

Particle size range is $10m$ to $120m$

Table $1$:

Question $3$: Centrifugation $(20$ marks$)$

For your centrifuge experiments you use only Powder $Y$ which is left over in the elutriation tank. This

has a PSD of $80$ to $120m.$ The experiments are done with a $0\mathrm{.}2m$ long tubular bowl centrifuge which

has an internal radius of $0\mathrm{.}02m$ and the radius of the liquid surface is $0\mathrm{.}01m$ operating at were

performed to produce a satisfactory clarified overflow. If the initial operating speed is $20000rpm,$

answer the following:

i$)$ Calculate the volumetric flow rate that would result in the separation of the solids from the fluid.