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CHAPTER
                      8

Gas Power Cycles
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-1
Modeling is a
powerful
engineering tool
that provides
great insight and
simplicity at the
expense of some
loss in accuracy.




8-1
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-2
The analysis of
many complex
processes can be
reduced to a
manageable level
by utilizing some
idealizations.




8-2
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-6
P-v and T-s diagrams of a
Carnot cycle.




8-3
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-7
A steady-flow Carnot
engine.




8-4
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-8
T-s diagram for
Example 8–1.




8-5
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-10
Nomenclature for
reciprocating engines.




8-6
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-11
Displacement and
clearance volumes
of a reciprocating
engine.




8-7
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-12
The net work
output of a cycle is
equivalent to the
product of the
mean effective
pressure and the
displacement
volume.




8-8
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-13
Actual and ideal cycles in
spark-ignition engines and
their P-v diagrams.




8-9
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-14
Schematic of a two-
stroke reciprocating
engine.




8-10
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-16
Thermal efficiency
of the ideal Otto
cycle as a function
of compression ratio
(k = 1.4).




8-11
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-18
The thermal
efficiency of the
Otto cycle increases
with the specific
heat ratio k of the
working fluid.




8-12
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-21
T-s and P-v
diagrams for the
ideal Diesel cycle.




8-13
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-22
Thermal efficiency of the
ideal Diesel cycle as a
function of compression
and cutoff ratios (k = 1.4).




8-14
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-23
P-v diagram of an
ideal dual cycle.




8-15
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-26
T-s and P-v diagrams of Carnot,
Stirling, and Ericsson cycles.




8-16
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-27
The execution of the
Stirling cycle.




8-17
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-28
A steady-flow Ericsson
engine.




8-18
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-29
An open-cycle gas-turbine engine.




8-19
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-30
A closed-cycle
gas-turbine engine.




8-20
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-31
T-s and P-v
diagrams for the
ideal Brayton cycle.




8-21
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-32
Thermal efficiency
of the ideal Brayton
cycle as a function
of the pressure
ratio.




8-22
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-33
For fixed values of
Tmin and Tmax , the
net work of the
Brayton cycle first
increases with the
pressure ratio, then
reaches a maximum
at rp = (Tmax /Tmin) k/
[2(k – 1)],
            and finally
decreases.




8-23
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-36
The deviation of an
actual gas-turbine
cycle from the ideal
Brayton cycle as a
result of
irreversibilities.




8-24
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-38
A gas-turbine
engine with
regenerator.




8-25
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-39
T-s diagram of a
Brayton cycle with
regeneration.




8-26
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-40
Thermal efficiency of
the ideal Brayton
cycle with and
without
regeneration.




8-27
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-42
Comparison of
work inputs to a
single-stage
compressor (1AC)
and a two-stage
compressor with
intercooling
(1ABD).




8-28
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-43
A gas-turbine
engine with two-
stage compression
with intercooling,
two-stage
expansion with
reheating, and
regeneration.




8-29
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-44
T-s diagram of an
ideal gas-turbine
cycle with
intercooling,
reheating, and
regeneration.




8-30
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-45
As the number of
compression and
expansion stages
increases, the gas-
turbine cycle with
intercooling,
reheating, and
regeneration
approaches the
Ericsson cycle.




8-31
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-48
Basic components of a
turbojet engine and the
T-s diagram for the ideal
turbojet cycle.




        [Source: The Aircraft Gas Turbine Engine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
8-32
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-51
Energy supplied to an
aircraft (from the
burning of a fuel)
manifests itself in various
forms.




8-33
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

FIGURE 8-52
A turbofan engine.




8-34    [Source: The Aircraft Gas Turbine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-53
A modern jet
engine used to
power Boeing 777
aircraft. This is a
Pratt & Whitney
PW4084 turbofan
capable of
producing 84,000
pounds of thrust.
It is 4.87 m (192
in.) long, has a
2.84 m (112 in.)
diameter fan, and
it weighs 6800 kg
(15,000 lbm).




8-35                                    Photo Courtesy of Pratt&Whitney Corp.
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-54
A turboprop engine.




8-36    [Source: The Aircraft Gas Turbine Engine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.



FIGURE 8-55
A ramjet engine.




8-37    [Source: The Aircraft Gas Turbine Engine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-57
Under average
driving conditions,
the owner of a 30-
mpg vehicle will
spend $300 less each
year on gasoline
than the owner of a
20-mpg vehicle
(assuming $1.50/gal
and 12,000
miles/yr).




8-38
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.


FIGURE 8-62
Aerodynamic drag
increases and thus
fuel economy
decreases rapidly
at speeds above
55 mph.




8-39                                 (Source: EPA and U.S. Dept. of Energy.)

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Cengel ch08

  • 1. CHAPTER 8 Gas Power Cycles
  • 2. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-1 Modeling is a powerful engineering tool that provides great insight and simplicity at the expense of some loss in accuracy. 8-1
  • 3. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-2 The analysis of many complex processes can be reduced to a manageable level by utilizing some idealizations. 8-2
  • 4. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-6 P-v and T-s diagrams of a Carnot cycle. 8-3
  • 5. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-7 A steady-flow Carnot engine. 8-4
  • 6. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-8 T-s diagram for Example 8–1. 8-5
  • 7. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-10 Nomenclature for reciprocating engines. 8-6
  • 8. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-11 Displacement and clearance volumes of a reciprocating engine. 8-7
  • 9. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-12 The net work output of a cycle is equivalent to the product of the mean effective pressure and the displacement volume. 8-8
  • 10. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-13 Actual and ideal cycles in spark-ignition engines and their P-v diagrams. 8-9
  • 11. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-14 Schematic of a two- stroke reciprocating engine. 8-10
  • 12. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-16 Thermal efficiency of the ideal Otto cycle as a function of compression ratio (k = 1.4). 8-11
  • 13. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-18 The thermal efficiency of the Otto cycle increases with the specific heat ratio k of the working fluid. 8-12
  • 14. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-21 T-s and P-v diagrams for the ideal Diesel cycle. 8-13
  • 15. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-22 Thermal efficiency of the ideal Diesel cycle as a function of compression and cutoff ratios (k = 1.4). 8-14
  • 16. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-23 P-v diagram of an ideal dual cycle. 8-15
  • 17. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-26 T-s and P-v diagrams of Carnot, Stirling, and Ericsson cycles. 8-16
  • 18. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-27 The execution of the Stirling cycle. 8-17
  • 19. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-28 A steady-flow Ericsson engine. 8-18
  • 20. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-29 An open-cycle gas-turbine engine. 8-19
  • 21. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-30 A closed-cycle gas-turbine engine. 8-20
  • 22. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-31 T-s and P-v diagrams for the ideal Brayton cycle. 8-21
  • 23. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-32 Thermal efficiency of the ideal Brayton cycle as a function of the pressure ratio. 8-22
  • 24. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-33 For fixed values of Tmin and Tmax , the net work of the Brayton cycle first increases with the pressure ratio, then reaches a maximum at rp = (Tmax /Tmin) k/ [2(k – 1)], and finally decreases. 8-23
  • 25. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-36 The deviation of an actual gas-turbine cycle from the ideal Brayton cycle as a result of irreversibilities. 8-24
  • 26. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-38 A gas-turbine engine with regenerator. 8-25
  • 27. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-39 T-s diagram of a Brayton cycle with regeneration. 8-26
  • 28. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-40 Thermal efficiency of the ideal Brayton cycle with and without regeneration. 8-27
  • 29. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-42 Comparison of work inputs to a single-stage compressor (1AC) and a two-stage compressor with intercooling (1ABD). 8-28
  • 30. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-43 A gas-turbine engine with two- stage compression with intercooling, two-stage expansion with reheating, and regeneration. 8-29
  • 31. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-44 T-s diagram of an ideal gas-turbine cycle with intercooling, reheating, and regeneration. 8-30
  • 32. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-45 As the number of compression and expansion stages increases, the gas- turbine cycle with intercooling, reheating, and regeneration approaches the Ericsson cycle. 8-31
  • 33. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-48 Basic components of a turbojet engine and the T-s diagram for the ideal turbojet cycle. [Source: The Aircraft Gas Turbine Engine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.] 8-32
  • 34. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-51 Energy supplied to an aircraft (from the burning of a fuel) manifests itself in various forms. 8-33
  • 35. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-52 A turbofan engine. 8-34 [Source: The Aircraft Gas Turbine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
  • 36. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-53 A modern jet engine used to power Boeing 777 aircraft. This is a Pratt & Whitney PW4084 turbofan capable of producing 84,000 pounds of thrust. It is 4.87 m (192 in.) long, has a 2.84 m (112 in.) diameter fan, and it weighs 6800 kg (15,000 lbm). 8-35 Photo Courtesy of Pratt&Whitney Corp.
  • 37. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-54 A turboprop engine. 8-36 [Source: The Aircraft Gas Turbine Engine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
  • 38. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-55 A ramjet engine. 8-37 [Source: The Aircraft Gas Turbine Engine and Its Operation. © United Aircraft Corporation (now United Technologies Corp.), 1951, 1974.]
  • 39. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-57 Under average driving conditions, the owner of a 30- mpg vehicle will spend $300 less each year on gasoline than the owner of a 20-mpg vehicle (assuming $1.50/gal and 12,000 miles/yr). 8-38
  • 40. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. FIGURE 8-62 Aerodynamic drag increases and thus fuel economy decreases rapidly at speeds above 55 mph. 8-39 (Source: EPA and U.S. Dept. of Energy.)