a a pipeline from a high level water reservoir serves a hydro electric

Question

(a) A pipeline from a high-level water reservoir serves a hydro-electric power station equipped with a Pelton Wheel turbine. The pipeline has diameter 0.5 m and length 1 km. A spear valve at the end of the pipeline produces a jet 0.15 m in diameter, which impacts the buckets on the Pelton Wheel.The jet is 600 m below the surface water level in the reservoir. (i)Given that head losses due to friction in the pipeline can be calculated with friction factor equal to 0.016 and head losses in the spear valve are estimated to be 0.8, calculate the jet velocity (a) A pipeline from a high-level water reservoir serves a hydro-electric power station equipped with a Pelton Wheel turbine. The pipeline has diameter 0.5 m and length 1 km. A spear valve at the end of the pipeline produces a jet 0.15 m in diameter, which impacts the buckets on the Pelton Wheel.The jet is 600 m below the surface water level in the reservoir. (i)Given that head losses due to friction in the pipeline can be calculated with friction factor equal to 0.016 and head losses in the spear valve are estimated to be 0.8-, calculate the jet velocity v,. (H)The buckets split and deflect the incoming jet (Figure Q2a). If the wheel diameter is 2.0 m and its rotational speed is 325 rpm, calculate the force of the jet on a bucket for a bucket angle of 15° (B in Figure Q2a). Ignore losses as the jet interacts with the bucket. The density of the water is 1000 kg/m.
(b) A pipeline conveying oil with density 800 kg/m bends in the horizontal plane through an angle of 60" as shown in Figure Q2b. The pipe diameter increases from 0.3 m at section 1 before the bend to 0.5 m at section 2 after the bend. Friction losses between sections 1 and 2 are estimated to be 0,8, where v, is the velocity at section 1. Calculate the magnitude and direction of the force on the bend for an oil flow rate of 700 litre/s if the gauge pressure at section l is 100 kPa for this flow rate.[10 marks)