Liquid water with a density of 1000 kg/m3 flows through a nozzle. At the inlet of the nozzle, the water has a velocity of 3.0 m/s, and the velocity of the water at the outlet is 40.0 m/s. The cross-sectional area of the inlet is 0.005 m2.
(a) Determine the cross-sectional area of the outlet, assuming that the nozzle operates at steady-state, steady-flow conditions.
(b) Using your equations, for a constant inlet condition, plot the cross-sectional area of the nozzle outlet as the outlet velocity varies from 10.0 m/s to 100.0 m/s.
Given: p= 1000 kg/m3; V1 = 3.0 m/s; V2 = 40 m/s; A1 = 0.005 m2
What will be an ideal response?
(a) m?=?1V1A1=?2V2A2, so
A2=?1V1A1/?2V2=V1A1/V2 = 0.000375 m2
(b)
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