Q2 (a) Figure 22.1 shows a pipe used to empty water from a reservoir. The flow in the reservoir and pipe is inviscid. Th

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Q2 A Figure 22 1 Shows A Pipe Used To Empty Water From A Reservoir The Flow In The Reservoir And Pipe Is Inviscid Th 1 (53.84 KiB) Viewed 66 times

Q2 (a) Figure 22.1 shows a pipe used to empty water from a reservoir. The flow in the reservoir and pipe is inviscid. The surface of the water in the reservoir is a height h above the base, the top of the pipe is a height he above the base of the reservoir and the pipe exit is a height he below the base of the reservoir. The cross-sectional area of the pipe is Az and the area of the reservoir is A1, as shown, where A1 is sufficiently large in comparison with A2 for the flow to be quasi-steady. At exit from the pipe the flow forms a parallel jet. Find the exit jet velocity in terms of the heights and areas under the following conditions. h2 3=0 h3 Figure 22.1: A pipe emptying a tank 0) Assuming the rate of change of height of the reservoir is negligible [10 marks] (1) Including any effect of the flow in the reservoir. [8 marks) (b) Figure Q2.2 shows the mixing of two liquids of different densities. The first liquid is water with a density of 1000 kgm and enters the mixing tank at a speed of 10 ms-1 through a pipe with diameter 4 cm. The second liquid is alcohol with a density of 789 kgm and enters the mixing tank at a speed of 20 ms-1 through a pipe with diameter 5 cm. The flow leaves through a third pipe with diameter 6 cm. Assuming perfect mixing and steady flow, determine: 0 The exit velocity [4 marks] (ii) The exit density [3 marks)