i) Water from a reservoir is used to generate electricity at a small hydropower station at an elevation of 500 m below. The water flows freely under the influence of gravity from the reservoir through 5 km of pipe with a 200-mm nominal bore and discharges through a hydro-turbine before discharging into a river. It is proposed to install a second pipe alongside the first to carry an additional flow of water equal to 50%. If the Fanning friction factor in the Darcy equation is assumed to have a constant value of 0.005, determine the minimum inside diameter of the new pipe if the new pipe also flows freely under the influence of gravity. The density of water is assumed to be 1000 kgm–3 ii) The thrust T of a screw propeller is dependent upon the diameter D, speed of advance V, revolutions per second N, fluid density ρ and the co-efficient of viscosity µ. Experiments were performed with various models of propellers. State the dimensionless groups ? Are these similarities attainable?
i) Water from a reservoir is used to generate electricity at a small hydropower station at an elevation of 500 m below. The water flows freely under the influence of gravity from the reservoir through 5 km of pipe with a 200-mm nominal bore and discharges through a hydro-turbine before discharging into a river. It is proposed to install a second pipe alongside the first to carry an additional flow of water equal to 50%. If the Fanning friction factor in the Darcy equation is assumed to have a constant value of 0.005, determine the minimum inside diameter of the new pipe if the new pipe also flows freely under the influence of gravity. The density of water is assumed to be 1000 kgm–3
ii) The thrust T of a screw propeller is dependent upon the diameter D, speed of advance V, revolutions per second N, fluid density ρ and the co-efficient of viscosity µ. Experiments were performed with various models of propellers. State the dimensionless groups ? Are these similarities attainable?
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