= The large turbine diverts the river flow under a dam as arranged below. System friction...

   

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= The large turbine diverts the river flow under a dam as arranged below. System friction losses are hf = kfv²/(2g), where u is the average velocity in the supply pipe and kf = 3.5. The turbine efficiency is η 0.85. (a) Find an algebraic expression of the turbine output power P as a function of v, and (b) plot P versus v. (c) Find the maximum possible turbine power that can be extracted from the fluid system. Find also the flow rate at which the output power is maximum. (d) Explain, why the turbine output power does not increase monotonically as v increases, but instead reaches a local maximum and then decreases as v increases. Z₁ = 70 m V DA D = 5 m Turbine 210 m 0 m = The large turbine diverts the river flow under a dam as arranged below. System friction losses are hf = kfv²/(2g), where u is the average velocity in the supply pipe and kf = 3.5. The turbine efficiency is η 0.85. (a) Find an algebraic expression of the turbine output power P as a function of v, and (b) plot P versus v. (c) Find the maximum possible turbine power that can be extracted from the fluid system. Find also the flow rate at which the output power is maximum. (d) Explain, why the turbine output power does not increase monotonically as v increases, but instead reaches a local maximum and then decreases as v increases. Z₁ = 70 m V DA D = 5 m Turbine 210 m 0 m

Answer rating: 100% (QA)

Solutions Step 1 PThe Power Developed by the Turbine MW V Velocity ms hf Head lost due to frction in the pipe m kf factor for head loss 35 g acceleration due to gravity ms2 981 Answer to question a Ap... View the full answer