Question 2 Figure 2 shows the key engineering elements of a hydroelectric power scheme are an upper and a lower reservoi
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Question 2 Figure 2 shows the key engineering elements of a hydroelectric power scheme are an upper and a lower reservoi
Question 2 Figure 2 shows the key engineering elements of a hydroelectric power scheme are an upper and a lower reservoir and a steel pipeline that conveys water from an upper to a lower reservoir. The pipeline parameters: length L, an internal diameter d, wall thickness t and surface roughness k are shown in Figure 2 below. The flow is controlled by a valve located at the entrance to the lower reservoir, 252 meters below the surface level in the upper reservoir. Under steady flow conditions the valve is fully open and the gauge pressure in the pipeline immediately upstream of the valve at the pressure measurement point 2 is 2220 kN/m². Use water density, water bulk modulus and steel Young's modulus as shown in Figure 2. Z₂ = 252 m L=610 m, d = 1.2 m t = 30 mm, k = 0.82 mm 2. P₂ =2220 kN/m² when ope Figure 2 p=1000 kg/m³ K = 2.05×10 N/m² E=210x10' N/m² a) Determine the steady flow discharge assuming rough turbulent flow and considering head losses due to friction only. [8 marks] 3 b) If the valve is closed instantaneously determine the maximum pressure immediately upstream of the valve at the pressure measurement point 2. [8 marks] c) Given that the hoop stress in the pipe is given by H = - what is the shortest time that pd 2t the valve can be fully closed if the hoop stress in the pipeline is not to exceed OH <55.5×106 N/m². [9 marks]