Estimate the mechanical power requirements for a single$-$screw extrusion system during extrusion of $30\%$ moisture content $($wb$)$ corn meal. The apparent viscosity of the extrudate is $1765$ Pa$.$s at $135$C$,$ and the density is $1200$ kg$/$m$3.$ The diameter of the screw is $7\mathrm{.}5$ cm; the length of the screw is $50$ cm$.$ The channel depth within the barrel is $2$ cm and width is $2\mathrm{.}5$ cm$.$ The system is operating at a flow rate of $300$ kg$/$hr with a screw speed of $75$ rpm$.$ The estimated wall velocity is $0\mathrm{.}3$ m$/$s$.$