A fluid of density p and viscosity u 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 irreversibility 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
irreversibility), do you expect the actual pressure at the
inlet to be higher or lower than the prediction? Explain.
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