Please solve all parts of the question: a$,$ b$,$ c$,$ d and e$.$

To design a continuous flow thickener $($underflow velocity of $10\frac{m}{d}),$ you first perform a

column test with the sludge to measure the gravity flux $($shown below in table and plot$).$

a$.$ For an underflow velocity of $10\frac{m}{d},$

calculate the underflow flux at each solids

concentration shown in the table $($fill in that

column in the table$).$ Show an example

calculation below for the $2\mathrm{.}5k\frac{g}{m^3}$ solids

concentration.

b$.$ Using the information from part $($a$),$ plot the gravity flux and underflow flux lines on one

graph.

c$.$ Calculate the total flux for the continuous flow thickener at each solids concentration

shown in the table. Write the total flux in the column in the table and plot it on the plot

from part $($b$).$ Show an example calculation for the $2\mathrm{.}5k\frac{g}{m^3}$ solids concentration.

d$.$ Using the total flux line in the part $($b$)$ plot, find the limiting flux $(\{$:$G_L)$ in $k\frac{g}{m^2}-d.$

Provide some indication on the plot of how you determined this.

e$.$ Using the part $($b$)$ plot, determine the $C_u$ at critical loading in $k\frac{g}{m^3}.$