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6 April 2022 U.Aravind, Lect/Mech, LAPC 1
Lakshmi Ammal Polytechnic College
Department of Mechanical Engineering
Subject Code : 4020340
Year & Semester : II / III
Scheme : N
By…
U.Aravind,
Lecturer/Mechanical Engineering,
LAPC, Kovilpatti.
6 April 2022 U.Aravind, Lect/Mech, LAPC 2
Lakshmi Ammal Polytechnic College
Department of Mechanical Engineering
Subject Code : 4020340
Subject Name : Thermal Engineering I
Year & Semester : II / III
Scheme : N
Unit : 2
Thermodynamics Air Cycles
Thermodynamic Air Cycles:
• The thermodynamic cycles consists of
a series of thermodynamic operations,
which takes place in a certain order
and the initial conditions are restored
at the end of the process.
• These process can be plotted on p-V
diagram and T-s diagram.
6 April 2022 U.Aravind, Lect/Mech, LAPC 3
Thermodynamic Air Cycles:
• The area enclosed by the complete curve
in the p-V diagram gives Workdone
during the complete cycle.
• The area enclosed by the complete curve
in the T-s diagram gives Heat Transfer
during the complete cycle.
6 April 2022 U.Aravind, Lect/Mech, LAPC 4
Air Cycle & Air Standard Efficiency:
6 April 2022 U.Aravind, Lect/Mech, LAPC 5
Efficiency of Cycles:
Thermal Efficiency:
6 April 2022 U.Aravind, Lect/Mech, LAPC 6
6 April 2022 U.Aravind, Lect/Mech, LAPC 7
Efficiency of Cycles:
Relative Efficiency:
6 April 2022 U.Aravind, Lect/Mech, LAPC 8
6 April 2022 U.Aravind, Lect/Mech, LAPC 9
6 April 2022 U.Aravind, Lect/Mech, LAPC 10
Thermodynamic Cycles
• Carnot Cycle(Constant Thermal)
• Otto Cycle(Constant Volume)
• Joule/Brayton Cycle(Constant
Pressure)
• Diesel Cycle
• Dual Combustion Cycle
• Rankine Cycle
• Stirling Cycle
• Ericssion Cycle
6 April 2022 U.Aravind, Lect/Mech, LAPC 11
I. Carnot Cycle:
• It is an imaginary cycle
• It is introduced by NL Sadi Carnot
(1824)
• This process consists of two
Isothermal & two Isentropic process
6 April 2022 U.Aravind, Lect/Mech, LAPC 12
I. Carnot Cycle:
6 April 2022 U.Aravind, Lect/Mech, LAPC 13
I. Carnot Cycle:
Process 1-2 : Isothermal Heat Addition
• Air is heated slowly at constant temperature
Process 2-3 : Adiabatic Expansion
• Air is expanded adiabatically and it does
work on piston
• Temperature reduced from T2 to T3
Process 3-4 : Isothermal Heat Rejection
• Air is cooled slowly at constant temperature
Process 4-1 : Adiabatic Compression
• Air is compressed adiabatically
• Temperature raised from T4 to T1
6 April 2022 U.Aravind, Lect/Mech, LAPC 14
6 April 2022 U.Aravind, Lect/Mech, LAPC 15
• Air Standard Efficiency of Carnot
Cycle
𝛈𝐂 =(1 -
𝑻𝟏
𝑻𝟐
) x 100
𝛈𝐂 =(1 -
𝟏
𝒓γ−𝟏) x 100
• Efficiency
𝛈 =
𝑾
𝐐𝐒
x 100
𝑻𝟏 - Lower temperature
𝑻𝟐 - Higher temperature
Problems on Carnot
Cycle
6 April 2022 U.Aravind, Lect/Mech, LAPC 16
1. A carnot engine works between 650 K and 310 K produces 150 KJ
of work. Find a) Thermal Efficiency b) Heat added during the
process.
Given Data:
• LowerTemperature, T1 = 310 K
• Higher Temperature, T2 = 650 K
• Work, W = 150 KJ
To Find:
• Thermal Efficiency, ηC
• Heat added, QS
Solution:
I. To Find Thermal Efficiency, ηC
• Air Standard Efficiency of Carnot Cycle
• 𝛈𝐂 = (1 -
𝑻𝟏
𝑻𝟐
) x 100
= (1 -
𝟑𝟏𝟎
𝟔𝟓𝟎
) x 100 17
6 April 2022 U.Aravind, Lect/Mech, LAPC
𝛈𝐂= 52.307 %
II. To Find Heat added, 𝑄𝑆
Air Standard Efficiency
•𝛈 =
𝑾
𝐐𝐒
x 100
•𝐐𝐒 =
𝑾
𝛈
x 100
=
𝟏𝟓𝟎
𝟓𝟐.𝟑𝟎𝟕
x 100
18
6 April 2022 U.Aravind, Lect/Mech, LAPC
𝐐𝐒= 286.78 KJ
2. The temperature limits for a carnot cycle using air as working
fluid are 500⁰C and 10⁰C. Calculate the efficiency of the cycle and
the ratio of adiabatic expansion. Assume γ = 1.4 for air.
Given Data:
• LowerTemperature, T1 = 10°C = 10 + 273 = 283 K
• Higher Temperature, T2= 500°C = 500 + 273 = 773 K
• γ = 1.4
To Find:
• Efficiency, ηC
• Ratio of Adiabatic expansion, r
Solution:
I. To Find Thermal Efficiency, ηC
• Air Standard Efficiency of Carnot Cycle
• 𝛈𝐂 = (1 -
𝑻𝟏
𝑻𝟐
) x 100
= (1 -
𝟐𝟖𝟑
𝟕𝟕𝟑
) x 100 19
6 April 2022 U.Aravind, Lect/Mech, LAPC
𝛈𝐂= 63.389 %
II. To Find Ratio of adiabatic expansion
Air Standard Efficiency
•𝛈𝐂 =(1 -
𝟏
𝒓γ−𝟏) x 100
• 1 -
𝟏
𝒓γ−𝟏 =
𝛈𝐂
100
•
𝟏
𝒓γ−𝟏 = 1 -
𝛈𝐂
100
•
𝟏
𝒓𝟏.𝟒−𝟏 = 1 -
𝟔𝟑.𝟑𝟖𝟗
100
•
𝟏
𝒓𝟎.𝟒 = 0.36616
•
𝟏
0.36616
= 𝒓𝟎.𝟒
•𝒓𝟎.𝟒
= 2.731
•r = 2.731
𝟏
𝟎.𝟒 20
U.Aravind, Lect/Mech, LAPC
𝒓 = 12.33
6 April 2022 U.Aravind, Lect/Mech, LAPC 21

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Thermal Engineering-I Unit 2 PPT - Thermodynamic Air Cycle - Introduction & Carnot Cycle PPT N Scheme III Sem Diploma Mech

  • 1. 6 April 2022 U.Aravind, Lect/Mech, LAPC 1 Lakshmi Ammal Polytechnic College Department of Mechanical Engineering Subject Code : 4020340 Year & Semester : II / III Scheme : N By… U.Aravind, Lecturer/Mechanical Engineering, LAPC, Kovilpatti.
  • 2. 6 April 2022 U.Aravind, Lect/Mech, LAPC 2 Lakshmi Ammal Polytechnic College Department of Mechanical Engineering Subject Code : 4020340 Subject Name : Thermal Engineering I Year & Semester : II / III Scheme : N Unit : 2 Thermodynamics Air Cycles
  • 3. Thermodynamic Air Cycles: • The thermodynamic cycles consists of a series of thermodynamic operations, which takes place in a certain order and the initial conditions are restored at the end of the process. • These process can be plotted on p-V diagram and T-s diagram. 6 April 2022 U.Aravind, Lect/Mech, LAPC 3
  • 4. Thermodynamic Air Cycles: • The area enclosed by the complete curve in the p-V diagram gives Workdone during the complete cycle. • The area enclosed by the complete curve in the T-s diagram gives Heat Transfer during the complete cycle. 6 April 2022 U.Aravind, Lect/Mech, LAPC 4
  • 5. Air Cycle & Air Standard Efficiency: 6 April 2022 U.Aravind, Lect/Mech, LAPC 5
  • 6. Efficiency of Cycles: Thermal Efficiency: 6 April 2022 U.Aravind, Lect/Mech, LAPC 6
  • 7. 6 April 2022 U.Aravind, Lect/Mech, LAPC 7
  • 8. Efficiency of Cycles: Relative Efficiency: 6 April 2022 U.Aravind, Lect/Mech, LAPC 8
  • 9. 6 April 2022 U.Aravind, Lect/Mech, LAPC 9
  • 10. 6 April 2022 U.Aravind, Lect/Mech, LAPC 10
  • 11. Thermodynamic Cycles • Carnot Cycle(Constant Thermal) • Otto Cycle(Constant Volume) • Joule/Brayton Cycle(Constant Pressure) • Diesel Cycle • Dual Combustion Cycle • Rankine Cycle • Stirling Cycle • Ericssion Cycle 6 April 2022 U.Aravind, Lect/Mech, LAPC 11
  • 12. I. Carnot Cycle: • It is an imaginary cycle • It is introduced by NL Sadi Carnot (1824) • This process consists of two Isothermal & two Isentropic process 6 April 2022 U.Aravind, Lect/Mech, LAPC 12
  • 13. I. Carnot Cycle: 6 April 2022 U.Aravind, Lect/Mech, LAPC 13
  • 14. I. Carnot Cycle: Process 1-2 : Isothermal Heat Addition • Air is heated slowly at constant temperature Process 2-3 : Adiabatic Expansion • Air is expanded adiabatically and it does work on piston • Temperature reduced from T2 to T3 Process 3-4 : Isothermal Heat Rejection • Air is cooled slowly at constant temperature Process 4-1 : Adiabatic Compression • Air is compressed adiabatically • Temperature raised from T4 to T1 6 April 2022 U.Aravind, Lect/Mech, LAPC 14
  • 15. 6 April 2022 U.Aravind, Lect/Mech, LAPC 15 • Air Standard Efficiency of Carnot Cycle 𝛈𝐂 =(1 - 𝑻𝟏 𝑻𝟐 ) x 100 𝛈𝐂 =(1 - 𝟏 𝒓γ−𝟏) x 100 • Efficiency 𝛈 = 𝑾 𝐐𝐒 x 100 𝑻𝟏 - Lower temperature 𝑻𝟐 - Higher temperature
  • 16. Problems on Carnot Cycle 6 April 2022 U.Aravind, Lect/Mech, LAPC 16
  • 17. 1. A carnot engine works between 650 K and 310 K produces 150 KJ of work. Find a) Thermal Efficiency b) Heat added during the process. Given Data: • LowerTemperature, T1 = 310 K • Higher Temperature, T2 = 650 K • Work, W = 150 KJ To Find: • Thermal Efficiency, ηC • Heat added, QS Solution: I. To Find Thermal Efficiency, ηC • Air Standard Efficiency of Carnot Cycle • 𝛈𝐂 = (1 - 𝑻𝟏 𝑻𝟐 ) x 100 = (1 - 𝟑𝟏𝟎 𝟔𝟓𝟎 ) x 100 17 6 April 2022 U.Aravind, Lect/Mech, LAPC 𝛈𝐂= 52.307 %
  • 18. II. To Find Heat added, 𝑄𝑆 Air Standard Efficiency •𝛈 = 𝑾 𝐐𝐒 x 100 •𝐐𝐒 = 𝑾 𝛈 x 100 = 𝟏𝟓𝟎 𝟓𝟐.𝟑𝟎𝟕 x 100 18 6 April 2022 U.Aravind, Lect/Mech, LAPC 𝐐𝐒= 286.78 KJ
  • 19. 2. The temperature limits for a carnot cycle using air as working fluid are 500⁰C and 10⁰C. Calculate the efficiency of the cycle and the ratio of adiabatic expansion. Assume γ = 1.4 for air. Given Data: • LowerTemperature, T1 = 10°C = 10 + 273 = 283 K • Higher Temperature, T2= 500°C = 500 + 273 = 773 K • γ = 1.4 To Find: • Efficiency, ηC • Ratio of Adiabatic expansion, r Solution: I. To Find Thermal Efficiency, ηC • Air Standard Efficiency of Carnot Cycle • 𝛈𝐂 = (1 - 𝑻𝟏 𝑻𝟐 ) x 100 = (1 - 𝟐𝟖𝟑 𝟕𝟕𝟑 ) x 100 19 6 April 2022 U.Aravind, Lect/Mech, LAPC 𝛈𝐂= 63.389 %
  • 20. II. To Find Ratio of adiabatic expansion Air Standard Efficiency •𝛈𝐂 =(1 - 𝟏 𝒓γ−𝟏) x 100 • 1 - 𝟏 𝒓γ−𝟏 = 𝛈𝐂 100 • 𝟏 𝒓γ−𝟏 = 1 - 𝛈𝐂 100 • 𝟏 𝒓𝟏.𝟒−𝟏 = 1 - 𝟔𝟑.𝟑𝟖𝟗 100 • 𝟏 𝒓𝟎.𝟒 = 0.36616 • 𝟏 0.36616 = 𝒓𝟎.𝟒 •𝒓𝟎.𝟒 = 2.731 •r = 2.731 𝟏 𝟎.𝟒 20 U.Aravind, Lect/Mech, LAPC 𝒓 = 12.33
  • 21. 6 April 2022 U.Aravind, Lect/Mech, LAPC 21