A fluid of density and viscosity flows through a section of horizontal convergingdiverging duct. The

A fluid of density ρ and viscosity μ flows through a section of horizontal converging–diverging duct. The duct cross-sectional areas A_inlet, A_throat, and A_outlet are known at the inlet, throat (minimum area), and outlet, respectively. Average pressure P_outlet is measured at the outlet, and average velocity V_inlet is measured at the inlet. 

(a) Neglecting any irreversibilities such as friction, generate expressions for the average velocity and average pressure at the inlet and the throat in terms of the given variables. 

(b) In a real flow (with irreversibilities), do you expect the actual pressure at the inlet to be higher or lower than the prediction? Explain.