Part A $$ Scale Up

You have developed a stable formulation that is ready to be upscaled to a pilot batch of $500$ L $(=500$ kg$).$ Your formulation recipe can be found here $($link$).$ Currently, you can make a $1$ L $(=1$ kg$)$ batch in the lab using the following equipment:

$$ One $200$ mL beaker $($internal diameter $($ID$)$ of $6$ cm$)$ for mixing GelMaker Hydro and Glycerin.

$$ One $1\mathrm{.}5$ L $($ID $=11$ cm$)$ beaker for mixing the rest of Phase A and mixing in Phase B and C$.$

$$ One $500$ mL $($ID $=8\mathrm{.}5$ cm$)$ beaker for mixing Phase B$.$

$$ One propeller $($Np $=0\mathrm{.}6,$ diameter $=4$ cm$)$ operating at $2500$ rpm for mixing.

$$ One sawblade impeller $($Np $=3,$ diameter $=4$ cm$)$ operating at $4000$ rpm for homogenising.

Assume Phase A density is $1,100$ kg$/$m$3,$ Phase B density is $800$ kg$/$m$3,$ and combined moisturiser density is $1,000$ kg$/$m$3.$ You may assume a constant viscosity value of $0\mathrm{.}05$ Pa$.$s for every phase throughout the whole assignment.

Propose how you will scale the manufacturing up to $500$ L$,$ calculate sizes for pilot$-$scale equipment $($tanks and impellers$)$ and discuss necessary precautions or adjustments you might need to make to your manufacturing procedure. Please include all your thoughts and full calculation procedures. You will get extra marks for considering things like geometric parameters of vessels, baffles, etc.