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Problem related to mass flow rate

Water flows via a control volume as illustrated in the figure below. At Section (1) the diameter is 40 mm and the velocity profile is given by the V(r) = 10 (4 – r2) m/s, here r is the  distance from the centerline. At Section (2) the mass flow rate is 10 kg/s and at Section (3) the diameter is about 40 mm and the flow is uniform. Compute the uniform velocity at the section (3). The Density of water is taken as 1000 kg/m3

224_uniform velocity.jpg

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