1 An Upstream Reservoir With Starting Water Level Of 80 M Drains Into A Downstream Reservoir With Starting Water Level 1 (36.17 KiB) Viewed 28 times
1. An upstream reservoir with starting water level of 80 m drains into a downstream reservoir with starting water level of 40 m via a pipe. The pipe has a 450 mm diameter, a 1,000 m length, and a 'C' factor of 120. The upstream and downstream reservoirs each have a cross sectional area of 5 m². a) Determine the steady state flow in the pipe at time f = 0. b) Use the rigid water column model to determine the flow in the pipe and the water levels in the upstream and downstream reservoirs for the first two time steps. c) The plots in Figures Q4 - A and B show the system response when the pipe has a diameter of 450 mm (Figure Q4- A) and when the pipe diameter. is increased to a 750 mm diameter (Figure Q4-B). Explain the difference between these two responses. Base your explanation on the physical i meaning of the mathematical terms in the rigid water column model and the initial amount of linear momentum of the water column att = 0. Pipe Flow-Q (m/s) 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 -0.1 -0.2 0 100 200 300 400 500 Time (sec) Figure Q4-A. System response in a pipe with a 450 mm diameter. 600 700 Q4-A 800 900 1000
Pipe Flow - Q (m/s) 3.0 2.5 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 0 m а 100 200 300 400 500 600 Time (sec) Q4-B 700 800 900 1000
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