A fluid of density ? and viscosity ? flows through a

Chapter 5, Problem 62P

(choose chapter or problem)

Problem 62P

A fluid of density ρ and viscosity μ flows through a section of horizontal converging-diverging duct. The duct cross-sectional areas Ainlet, Athroat, and Aoutlet are known at the inlet, throat (minimum area), and outlet, respectively. Average pressure Poutlet is measured at the outlet, and average velocity Vinlet 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.