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Carnot Cycle for Scientific Design of Watt Engine
P M V Subbarao Professor Mechanical Engineering Department Model for A Scientific Design of PGS
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Carnot’s Model for Power Generation System
Expansion work
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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
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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
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Air Standard Carnot Cycle
1 2 3 4 Practice on your own……
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First Law for A Control Volume
Conservation of mass: Conservation of momentum: Conservation of energy:
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Compressor : Isentropic Process
SSSF: Conservation of mass First Law : No heat transfer during compression.
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2 – 3 : (Fire Tube) Boiler for Isothermal Steam Generation
QCV 3 2 No work transfer in boiler
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Identification of Carnot’s High Temperature
for Isothermal Steam Generation, T3 = T2 = Thigh For reversible constant Pressure & Temperature Process
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Expansion : Adiabatic Process : No wastage
3 4 T Avoid heat transfer during expansion. Ideally zero….
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4 – 1 : Condenser : Isothermal Cooling : T1 = T4
QCV 4 1 No work transfer in condenser
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Analysis of Cycle First law for a cycle:
For reversible adiabatic expansion and pumping: Rate of Heat addition
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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
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Engineering of Carnot Cycle
Isotherms
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Use of Carnot Model for Optimization of Power Plant
Minimize the capital & running costs. Compact and efficient.
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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.
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Geometrical Route to Define A Naturally Feasible Cycle for A PGS
x
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Lame’s Curve n=0 n=0.5 0 < n < 0.5
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Natural Power Generation Cycle
V
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Natural Power Generation Cycle
Tmax T Tmin Smin Smax S
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Natural Power Generation Cycle
Tmax T Tmin Smin S Smax
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Computation of Cyclic Energy Interactions
Net work out put : Heat Input :
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Cost to Benefit Analysis of Natural Cycle
Efficiency
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