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ASAP Hydropower of in-stream turbines (metric units) n=20 in-stream water turbines with a radius of R=1.5[m], drag coefficient cd=0.5 mechanical efficiency =0.9 are placed in

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Hydropower of in-stream turbines (metric units) n=20 in-stream water turbines with a radius of R=1.5[m], drag coefficient cd=0.5 mechanical efficiency =0.9 are placed in a river across its cross-section that flows at U=2.1[ms1] velocity and delivers Q=AriviurU=2600[m3s1] flow. The density of water is uut=1000[kgm3] a) Calculate the horizontal force that the river will impose on the turbines (Fd=21cdwatAturbU2). b) Calculate the power that each turbine will extract from the river (Pturb=FdU). c) Calculate the power the n=20 turbines will generate after counting its mechanical efficiency. d) Calculate the power of the water flowing in the river. The mass flowrate of the river is m= zatQ and the power of that mass flow-rate is given by Priter=21mU2. e) Calculate the velocity of the river after the in-stream turbine. Solution

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