Question

n enterprising farmer with rights to river water on a desert property in northern Arizona decides to build a concentrating solar power plant. He has grand plans for a large CSP plant, and hopes to eliminate 55 MW of waste heat to the river, to save costs associated with other methods of providing a cold sink for his heat engine. The river conditions upstream are Q_i = 2.5 m^3/s and T_i = 18 deg C. The river is 45 m wide and 2.7 m deep. Environmentalists in the area have become alarmed since the Wubani Water Nymph larva is quite sensitive to increases in temperature and is protected under UN preservation rules. If heat losses to the atmosphere and ground are negligible, estimate the downstream river conditions of Q_out and T_out. Some hints: Consider a overall CV enclosing the powerplant, with only upstream river water coming in, and downstream water going out. Make, and state, a reasonable approximation for the inflows and exits. Like our example in class, assume the enthalpy can be estimated with C_pT, and that the velocity and potential energies are relatively unimportant. Start with first law and use the Reynolds Transport Theorem, and then simplify. Use C_p = 4280 J/kgdeg C, and the density of water = 998 kg/m^3

          n enterprising farmer with rights to river water on a desert property in northern Arizona decides to
build a concentrating solar power plant. He has grand plans for a large CSP plant, and hopes to
eliminate 55 MW of waste heat to the river, to save costs associated with other methods of providing a
cold sink for his heat engine. The river conditions upstream are Q_i = 2.5 m^3/s and T_i = 18 deg C. The
river is 45 m wide and 2.7 m deep. Environmentalists in the area have become alarmed since the
Wubani Water Nymph larva is quite sensitive to increases in temperature and is protected under UN
preservation rules. If heat losses to the atmosphere and ground are negligible, estimate the
downstream river conditions of Q_out and T_out. Some hints: Consider a overall CV enclosing the
powerplant, with only upstream river water coming in, and downstream water going out. Make, and
state, a reasonable approximation for the inflows and exits. Like our example in class, assume the
enthalpy can be estimated with C_p*T, and that the velocity and potential energies are relatively
unimportant. Start with first law and use the Reynolds Transport Theorem, and then simplify. Use C_p =
4280 J/kg*deg C, and the density of water = 998 kg/m^3

Added by Michael J.

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