Design a continuous gravity decanter to separate three phases with the following physicochemical properties.

a$.$ Fluid A$,$ Density $=1100k\frac{g}{m^3}$

b$.$ Fluid B$,$ Density $=1523k\frac{g}{m^3}$

c$.$ Fluid C$,$ Density $=1325k\frac{g}{m^3}$

Residence time in the continuous gravity decanter can be maintained up to $50$ minutes. Inlet flow consists of a mixture of Fluids A$,$ B and C with total flow rate of $2\mathrm{.}6\frac{m^3}{h}.$ Volume $\%$ of $A$:$B$:$C=75$:$15$:$10$ in the feed. It can be assumed that the height of fluid layers in the continuous gravity decanter is in proportion to the volume $\%.$

Note: We can consider two possibilities i$)$ Separation of B along with mixture of A and $C$ followed by separation of A and $C$ in two separate continuous gravity decanter.

ii$)$ Separation of A$,$ B and C together in a single continuous gravity decanter.

Time required for separation of mixture of liquids in decanter is $t$

$t=\frac{100}{{}_A-{}_B}$

where $t=$ separation time, $h$

${}_A,{}_B=$ densities $of$ liquids A and $B,k\frac{g}{m^3}$

$=$ viscosity $of$ the continuous phase, $cP$