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Carnot Cycle for Scientific Design of Watt Engine

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Presentation on theme: "Carnot Cycle for Scientific Design of Watt Engine"— Presentation transcript:

1 Carnot Cycle for Scientific Design of Watt Engine
P M V Subbarao Professor Mechanical Engineering Department Model for A Scientific Design of PGS

2 Carnot’s Model for Power Generation System
Expansion work

3 Carnot’s Identification of Thermodynamic Cycle for Watts Engine
Burn Coal (to add Heat slowly) Ability to perform The Work (Move piston slowly) Wastage or Ecological Nuisance

4 Carnot’s Model for Power Cycle
1 – 2 : Compressor : Isentropic Compression : s2 = s1 2 – 3 : Boiler: Isothermal Heating : T3 = T2 3 – 4 : Turbines : Isentropic Expansion : s4 = s3 4 – 1 : Condenser: Isothermal Cooling : T1 = T4

5 Air Standard Carnot Cycle
1 2 3 4 Practice on your own……

6 First Law for A Control Volume
Conservation of mass: Conservation of momentum: Conservation of energy:

7 Compressor : Isentropic Process
SSSF: Conservation of mass First Law : No heat transfer during compression.

8 2 – 3 : (Fire Tube) Boiler for Isothermal Steam Generation
QCV 3 2 No work transfer in boiler

9 Identification of Carnot’s High Temperature
for Isothermal Steam Generation, T3 = T2 = Thigh For reversible constant Pressure & Temperature Process

10 Expansion : Adiabatic Process : No wastage
3 4 T Avoid heat transfer during expansion. Ideally zero….

11 4 – 1 : Condenser : Isothermal Cooling : T1 = T4
QCV 4 1 No work transfer in condenser

12 Analysis of Cycle First law for a cycle:
For reversible adiabatic expansion and pumping: Rate of Heat addition

13 Cost to Benefit Ratio Analysis of James Watt Engine using Carnot’s Model for Cycle
Work done per unit volume of the engine: Mean Effective Pressure

14 Engineering of Carnot Cycle
Isotherms

15 Use of Carnot Model for Optimization of Power Plant
Minimize the capital & running costs. Compact and efficient.

16 Selection of A Perspective for Description of Scientific PGS
René Descartes Academic, Philosopher, Mathematician, Scientist (1596–1650) Discourse on; The Method of Rightly Conducting the Reason and Seeking Truth in the Sciences. Published in 1637.

17 Geometrical Route to Define A Naturally Feasible Cycle for A PGS
x

18 Lame’s Curve n=0 n=0.5 0 < n < 0.5

19 Natural Power Generation Cycle
V

20 Natural Power Generation Cycle
Tmax T Tmin Smin Smax S

21 Natural Power Generation Cycle
Tmax T Tmin Smin S Smax

22 Computation of Cyclic Energy Interactions
Net work out put : Heat Input :

23 Cost to Benefit Analysis of Natural Cycle
Efficiency


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