Design a geothermal operation to provide electricity for a remote island, at lev

Question

Design a geothermal operation to provide electricity for a remote island, at level of 100 MW power. The island is located at a location that magma close to the earth surface is at 750 C. The Geothermal site has 4 injection wells. Calculate the water flow rate (liter/minutes) in each injection well remove enough heat and generate steam for the turbine-generator system and 100 MW power. The temperature of the steam exiting the turbine is 150 C. The overall efficiency of the geothermal system is 30%. Density of water is 1000 kg/m^3, and heat capacity of water is 4500 J/kg.K.

Explanation / Answer

Answer- given- temperature of the magma at the island of earth surface = 750C

the geothermal power generated is Q = 100MW

density of water is 1000kg/m3

heat capicity of water = 4500 J/Kg.K

overall efficiency of geothermal system = 0.30

the flow rate of stream in geothermal power depends upon the cross section of area of pipe through water moves and thermal efficiency of geothermal power plant

act (%) = W*100 / × h

w= running capacity

m = total mass flow rate

h= reservoir enthalapy

the flow rate of geothermal power is 1500L/min

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