Plz help me determine the rankine cycle Or can someone do the rankine cycle on this and how this works

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Plz help me determine the rankine cycle Or can someone do the rankine cycle on this and how this works
ake in saturated steam produce an exhaust with high liquid content, which causes severe ero-
slon problems.? Even more difficult is the design of a pump that takes in a mixture of liquid
and vapor (point 4) and discharges a saturated liquid (point 1). For these reasons, an alterna-
tive cycle is taken as the standard, at least for fossil-fuel-burning power plants. It is called the
Rankine cycle, and it differs from the cycle of Fig. 8.2 in two major respects. First, the heating
step 1 → 2 is carried well beyond vaporization so as to produce a superheated vapor, and sec-
ond, the cooling step 3 → 4 brings about complete condensation, yielding saturated liquid to
be pumped to the boiler. The Rankine cycle therefore consists of the four steps shown in
Fig. 8.3 and described as follows:
• 1 - 2 A constant-pressure heating process in a boiler. The step lies along an isobar
(the pressure of the boiler) and consists of three sections: heating of subcooled liquid
water to its saturation temperature, vaporization at constant temperature and pressure,
and superheating of the vapor to a temperature well above its saturation temperature.
• 2 → 3 Reversible, adiabatic (isentropic) expansion of vapor in a turbine to the pres-
sure of the condenser. The step normally crosses the saturation curve, producing a wet
exhaust. However, the superheating accomplished in step 1→ 2 shifts the vertical line
far enough to the right on Fig. 8.3 that the moisture content is not too large.
• 3 - 4 A constant-pressure, constant-temperature process in a condenser to produce sat-
urated liquid at point 4.
• 4 - 1 Reversible, adiabatic (isentropic) pumping of the saturated liquid to the pressure
of the boiler, producing compressed (subcooled) liquid. The vertical line (whose length
is exaggerated in Fig 8.3) is very short because the temperature rise associated with
compression of a liquid is small.
Power plants actually operate on a cycle that departs from the Rankine cycle due to
irreversibilities of the expansion and compression steps. Figure 8.4 illustrates the effects of
these irreversibilities on steps 2 → 3 and 4 → 1. The lines are no longer vertical but tend in the
direction of increasing entropy. The turbine exhaust is normally still wet, but with sufficiently
Figure 8.3: Rankine cycle on a TS diagram.
2Nevertheless, nuclear power plants generate saturated steam and operate with turbines designed to eject liquid at
various stages of expansion.
Transcribed Image Text:ake in saturated steam produce an exhaust with high liquid content, which causes severe ero- slon problems.? Even more difficult is the design of a pump that takes in a mixture of liquid and vapor (point 4) and discharges a saturated liquid (point 1). For these reasons, an alterna- tive cycle is taken as the standard, at least for fossil-fuel-burning power plants. It is called the Rankine cycle, and it differs from the cycle of Fig. 8.2 in two major respects. First, the heating step 1 → 2 is carried well beyond vaporization so as to produce a superheated vapor, and sec- ond, the cooling step 3 → 4 brings about complete condensation, yielding saturated liquid to be pumped to the boiler. The Rankine cycle therefore consists of the four steps shown in Fig. 8.3 and described as follows: • 1 - 2 A constant-pressure heating process in a boiler. The step lies along an isobar (the pressure of the boiler) and consists of three sections: heating of subcooled liquid water to its saturation temperature, vaporization at constant temperature and pressure, and superheating of the vapor to a temperature well above its saturation temperature. • 2 → 3 Reversible, adiabatic (isentropic) expansion of vapor in a turbine to the pres- sure of the condenser. The step normally crosses the saturation curve, producing a wet exhaust. However, the superheating accomplished in step 1→ 2 shifts the vertical line far enough to the right on Fig. 8.3 that the moisture content is not too large. • 3 - 4 A constant-pressure, constant-temperature process in a condenser to produce sat- urated liquid at point 4. • 4 - 1 Reversible, adiabatic (isentropic) pumping of the saturated liquid to the pressure of the boiler, producing compressed (subcooled) liquid. The vertical line (whose length is exaggerated in Fig 8.3) is very short because the temperature rise associated with compression of a liquid is small. Power plants actually operate on a cycle that departs from the Rankine cycle due to irreversibilities of the expansion and compression steps. Figure 8.4 illustrates the effects of these irreversibilities on steps 2 → 3 and 4 → 1. The lines are no longer vertical but tend in the direction of increasing entropy. The turbine exhaust is normally still wet, but with sufficiently Figure 8.3: Rankine cycle on a TS diagram. 2Nevertheless, nuclear power plants generate saturated steam and operate with turbines designed to eject liquid at various stages of expansion.
ProMax Problem 5. Single flash geothermal Power Plant
3
Turbine
Pressure let-down valve
Q-1--►
flash drum
Mixer
5-
From production well
y02-
Pump
Q-3
To injection well +
8
Condenser
A single-flash geothermal power plant uses hot geothermal water at 230°C as the heat source. Assume
steady state operating conditions, and use water for the motive fluid. To begin, assume the flow rate of
water from the hot production well is 250 kg/s.
T1 = 230°C (saturated)
P2 = 500 kPa (saturated)
P4 = 10 kPa
Determine all flow rates, power output, and thermal efficiency. Turbine and pump efficiencies are 90%
and 75%.
Investigate using toluene for the working fluid.
Transcribed Image Text:ProMax Problem 5. Single flash geothermal Power Plant 3 Turbine Pressure let-down valve Q-1--► flash drum Mixer 5- From production well y02- Pump Q-3 To injection well + 8 Condenser A single-flash geothermal power plant uses hot geothermal water at 230°C as the heat source. Assume steady state operating conditions, and use water for the motive fluid. To begin, assume the flow rate of water from the hot production well is 250 kg/s. T1 = 230°C (saturated) P2 = 500 kPa (saturated) P4 = 10 kPa Determine all flow rates, power output, and thermal efficiency. Turbine and pump efficiencies are 90% and 75%. Investigate using toluene for the working fluid.
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