In Meghalaya state, the city receives the rainwater (SG = 989 kg/m) daily. By exploiting nature...

 

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In Meghalaya state, the city receives the rainwater (SG = 989 kg/m³) daily. By exploiting nature gift from Mother Earth, Alibaba has decided to build up a hydropower station, which consist of a reservoir tank, a lake, two pipes with uniform diameter (0.27 m), and a pair of turbine-generator system. From the hill, the rainwater flows towards the entrance of reservoir tank, which usually opened and closed occasionally to maintain a constant water level. Hence, the pressure inside the reservoir tank is always maintained at 210 kPa. It is discovered that the head losses of pipe 1 and pipe 2 are 3.17 m and 1.21 m during the downflow of rainwater from the reservoir tank to the lake. During the fluid flow, the water flow rate is maintained as 1200 kg/s. It is revealed that the efficiency of turbine and generator is 88.9% and 93.4%, respectively. Reservoir tank 1.52 m Generator 64.62 m Turbine Pipe 2 0.92 m O Lake (a) Calculate the velocities of rainwater inside the pipe 1 and pipe 2. (3 Marks) (b) Calculate the actual turbine head, turbine power output, and electrical power output. (10 Marks) (c) Calculate the outlet turbine pressure. Pipe 1 In Meghalaya state, the city receives the rainwater (SG = 989 kg/m³) daily. By exploiting nature gift from Mother Earth, Alibaba has decided to build up a hydropower station, which consist of a reservoir tank, a lake, two pipes with uniform diameter (0.27 m), and a pair of turbine-generator system. From the hill, the rainwater flows towards the entrance of reservoir tank, which usually opened and closed occasionally to maintain a constant water level. Hence, the pressure inside the reservoir tank is always maintained at 210 kPa. It is discovered that the head losses of pipe 1 and pipe 2 are 3.17 m and 1.21 m during the downflow of rainwater from the reservoir tank to the lake. During the fluid flow, the water flow rate is maintained as 1200 kg/s. It is revealed that the efficiency of turbine and generator is 88.9% and 93.4%, respectively. Reservoir tank 1.52 m Generator 64.62 m Turbine Pipe 2 0.92 m O Lake (a) Calculate the velocities of rainwater inside the pipe 1 and pipe 2. (3 Marks) (b) Calculate the actual turbine head, turbine power output, and electrical power output. (10 Marks) (c) Calculate the outlet turbine pressure. Pipe 1