# flash - 1 vapor liquid geothermal water 1 2 3 4 W FIG 1...

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Unformatted text preview: 1 vapor liquid geothermal water 1 2 3 4 W FIG. 1: Geothermal vapor power system. HW problem: 16 February 2009 Problem Statement: A 10 kg/s flow of water at 200 ◦ C, 10 MPa, is avail- able from a geothermal source. The water is flashed to a pressure P 2 , and the saturated vapor from the flash chamber is sent to an isentropic turbine and expanded to 100 kPa. Make a plot of the power out- put vs. P 2 and determine the P 2 which maximizes the power output. Solution: The system is illustrated in Fig. (1). The flash chamber is adiabatic and at pressure P 2 . The flash- ing of the geothermal–source liquid water (i.e., the sudden drop in pressure from P 1 = 10 MPa to P 2 ) should produce a saturated mix, and the vapor and liquid fractions of the mix are removed separately. The first law applied to the flash chamber has ˙ m 1 h 1 = ˙ m 2 h 2 + ˙ m 4 h 4 (1) with h 1 = h (200 ◦ C , 10MPa) = 855 . 9 kJ / kg h 2 = h g ( P 2 ) , h 4 = h f ( P 2 ) and ˙ m 1 = ˙ m 2 + ˙ m 4 (2) It should be easy to see that ˙ m 2 = x 2 ˙ m...
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## This note was uploaded on 09/24/2011 for the course MECH 3020 taught by Professor Mackowski during the Spring '11 term at Auburn University.

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flash - 1 vapor liquid geothermal water 1 2 3 4 W FIG 1...

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