Hw04 - ENGRI 1290 HW04 Due Problem 1 A 500 MW electrical hydro power plant is using a reservoir with head given below The water then rushes inside

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ENGRI 1290 HW04 Due 10/04/2010
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Problem # 1 A 500 MW electrical hydro power plant is using a reservoir with head given below. The water then rushes inside a penstock and falls by an extra 50 m. Because the penstock is a pipe, friction reduces the water velocity. So the efficiency of the penstock is not 100 % but 85%. The water then hits Francis turbines with C p of 80 %. The plant has identical turbines. The mechanical energy is turned into electricity by generators with efficiency 95%. 1. Compute the water energy density at the entrance of the penstock. 2. Compute the water energy density gain in the penstock. 3. What is the energy per kg of water extracted by the turbines? 4. What is the energy per kg of water extracted by the generators? 5. What is the mass flow rate of water through this dam? NB: In this problem we ask for the energy density in J/kg.
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Problem # 1 (continued) The head is 150 m.
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Problem # 2 The Three-gorges dam in China cost 24 billion dollars and can generate the maximum power given
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This note was uploaded on 09/14/2011 for the course ENGRI 1290 taught by Professor Gourdain during the Fall '10 term at Cornell University (Engineering School).

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Hw04 - ENGRI 1290 HW04 Due Problem 1 A 500 MW electrical hydro power plant is using a reservoir with head given below The water then rushes inside

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