Design a three$-$phase vertical separator to handle the field production $($Consider separators with slenderness ratio only between $2\mathrm{.}3$ and $3),$ given:

$$ Water oil ratio: $25\%$

$$ Gas$$oil ratio: $5$ MSCF$/$bbl

$$ Operating pressure: $500$ psia

$$ Operating temperature: $100\backslash$deg F

$$ Oil gravity: $32\backslash$deg API

$$ Water specific gravity: $1\mathrm{.}08$

$$ Gas specific gravity: $0\mathrm{.}6$

$$ Oil viscosity: $5$ cP

$$ Oil retention time: $0\mathrm{.}15$ hr

$$ Water retention time: $0\mathrm{.}10$ hr

$$ Drag coefficient: $1\mathrm{.}61$

$$ Z $=0\mathrm{.}93$

$$ Liquid production rate: $6000$ BPD