C$.$ Manufacturing Process Development

Question C $-$ Dimensionless Group for Scale$-$Up $(25\%)$

A prototype gate valve which will control the flow in a pipe system conveying paraffin is to be studied in a model. The pressure drop $P(\frac{M}{L}{T}^2)$ is expected to depend upon the gate opening $h(L),$ the overall depth $d(L),$ the velocity $vv(\frac{L}{T}),$ density $(\frac{M}{L^3})$ and viscosity $(\frac{M}{L}T).$

$\backslash$table$[[,$Density $(\frac{g}{c}{m}^3),$Viscosity $(\frac{g}{c}{m}^{**}(s))$