A steam power plant working on Rankine cycle uses steam at 50 bar [dry...
Rankine Cycle
The Rankine cycle is a thermodynamic cycle used in steam power plants. It consists of four components: a boiler, a turbine, a condenser, and a pump.
Given Information
In this problem, we are given:
- Steam pressure at the inlet of the turbine: 50 bar [dry saturated]
- Condenser pressure: 0.05 bar
Thermal Efficiency
The thermal efficiency of the Rankine cycle is given by:
η = (W
net / Q
in)
Where:
- W
net is the net work output from the cycle
- Q
in is the heat input to the cycle
The net work output from the cycle is given by:
W
net = W
turbine - W
pumpWhere:
- W
turbine is the work output from the turbine
- W
pump is the work input to the pump
The heat input to the cycle is given by:
Q
in = Q
boiler - Q
condenserWhere:
- Q
boiler is the heat input to the boiler
- Q
condenser is the heat rejected by the condenser
The thermal efficiency can be calculated by using the above equations and the data given.
T-S Diagram
The T-S diagram is a graphical representation of the thermodynamic cycle. The process is represented on the diagram as a series of lines and curves.
The T-S diagram for the Rankine cycle can be plotted using the steam tables. The process can be divided into four parts:
1. Process 1-2: Isentropic expansion in the turbine
2. Process 2-3: Constant pressure heat rejection in the condenser
3. Process 3-4: Isentropic compression in the pump
4. Process 4-1: Constant pressure heat addition in the boiler
The T-S diagram for the Rankine cycle can be plotted using the above information.
Conclusion
In conclusion, the thermal efficiency of the Rankine cycle and the T-S diagram can be calculated using the given information. The Rankine cycle is an important thermodynamic cycle used in steam power plants.