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Thermodynamics
        Chapter 1

Some Introductory Comments


                    國立成功大學工程科學系
1.1
The Simple Steam Power Plant




                      國立成功大學工程科學系
Figure 1.1 Schematic diagram   of a steam power plant.



                                         國立成功大學工程科學系
A schematic diagram of a recently
installed steam power plant is shown in
Fig1.1. High pressure superheated steam
leaves the drum and enters the turbine. The
steam expands in the turbine and in doing so
does work, which enables the turbine to
drive the electric generator.



                              國立成功大學工程科學系
The steam, now at low pressure, exits
the turbine and enters the heat exchanger,
where heat is transferred from the steam
(causing it to condense) to the cooling
water. The pressure of the condensate
leaving the condenser is increased in the
pump, enabling it to return to the steam
generator for reuse.

                             國立成功大學工程科學系
Figure 1.4 Schematic diagram of a power plant.


                                    國立成功大學工程科學系
When a conventional power plant is
viewed as a whole, as shown in Fig1.4,
fuel and air enter the power plant and
products of combustion leave the unit.
There is also a transfer of heat to the
cooling water, and work is done in the
form of the electrical energy leaving the
power plant.


                             國立成功大學工程科學系
The overall objective of a power plant
is to convert the availability of the fuel
work (in the form of electrical energy) in
the most efficient manner, taking
consideration cost, space, and
environmental concerns.


                             國立成功大學工程科學系
1.3
The Vapor-Compression
  Refrigeration Cycle




                 國立成功大學工程科學系
Figure 1.6 Schematic diagram   of a simple refrigeration cycle.
                                             國立成功大學工程科學系
A simple vapor-compression refrigeration
cycle is shown schematically in Fig. 1.6. The
refrigerant enters the compressor as a slightly
superheated vapor at a low pressure. It then
leaves the compressor and enters the
condenser as a vapor at some elevated pressure,
where the refrigerant is condensed as heat is
transferred to cooling water or to the
surroundings.



                                 國立成功大學工程科學系
The refrigerant then leaves the
condenser as a high-pressure liquid. The
pressure of the liquid is decreased as it
flows through the expansion valve, and is
vaporized in the evaporator as heat is
transferred from the refrigerated space.
This vapor then reenters the compressor.


                             國立成功大學工程科學系
1.6
The Gas Turbine




              國立成功大學工程科學系
Figure 1.11 A turbofan   jet engine.

                                       國立成功大學工程科學系
The basic operation of a gas turbine is
similar to that of the steam power plant,
except that air is used instead of water.
Fresh atmospheric air flows through a
compressor that brings it to a high
pressure. Energy is then added by
spraying fuel into the air and igniting it so
the combustion generates a high-
temperature flow.
This high-temperature, high-pressure
gas enters a turbine, where it expands
down to the exhaust pressure, producing
a shaft work output and (or) discharging
the exhaust gases at high velocity in the
process.
1.7

The Chemical Rocket Engine




                    國立成功大學工程科學系
Figure 1.12 Simplified
schematic diagram of a
liquid-propellant rocket
engine.




     國立成功大學工程科學系
Fig 1.12 shows a simplified schematic
diagram of a liquid-propellant rocket. The
oxidizer and fuel are pumped through the
injector plate into the combustion
chamber where combustion takes place at
high pressure.



                             國立成功大學工程科學系
The high-pressure, high-temperature,
products of combustion expand as they
flow through the nozzle, and as a result
they leave the nozzle with a high velocity.
The momentum change associated with
this increase in velocity gives rise to the
forward thrust on the vehicle.


                              國立成功大學工程科學系
Thermodynamics plays a vital role
in the analysis, development, and
design of all power-producing
systems, refrigerative equipments,
including reciprocating internal-
combustion engines and gas turbine.


                        國立成功大學工程科學系
Thermodynamics
          Chapter 2

Some Concepts and Definitions


                      國立成功大學工程科學系
   Thermodynamics:
    the science of energy and entropy.

   Thermodynamics:
    the science deals with heat and work and
    those properties of substances that bear a
    relation to heat and work.




                                    國立成功大學工程科學系
Basis of thermodynamics:
 Experiments –
 They have been formalized into the 1st,
 2nd, and 3rd laws of thermodynamics.




                               國立成功大學工程科學系
2.1
      Thermodynamics
system and the control volume




                      國立成功大學工程科學系
   System:
    A thermodynamic system comprises a
    device or combination of devices
    containing a quantity of matter that is
    being studied.




                               國立成功大學工程科學系
   Open system (control volume):
    a properly selected region in space so that it
    contains the matter and devices inside a
    control surface.

   Closed system (control mass):
    when a control surface is closed to mass flow,
    no mass can cross its boundary.

   Isolated system:
    when the energy (e.g. heat or work) is not
    allowed to cross the boundary.

                                       國立成功大學工程科學系
Figure 2.2 Example of a control   volume.


                                    國立成功大學工程科學系
Figure 2.1 Example of a control   mass.

                                   國立成功大學工程科學系
Surroundings:
everything external to the control volume,
with the separation given by the control
surface or boundary.




                                國立成功大學工程科學系
2.2
Macroscopic vs. Microscopic
      Point of View




                    國立成功大學工程科學系
   Microscopic:
    there are        molecules for a 25       of
    monatomic gas at atmospheric conditions.
    Thus, we must deal with         equations at
    least (3 position coordinates and 3 velocity
    components). It’s a quite hopeless
    task.



                                  國立成功大學工程科學系
   Macroscopic
    ▲ statistical approach (kinetic theory or
      statistical mechanics)
    ▲ classical thermodynamics

    ▲ Time-averaged influence (gross      or average
      effects) of many molecules which can be
      measured (or experienced).


                                      國立成功大學工程科學系
Continuum concept of the macroscopic view

    This continuum model is valid when the
characteristic length of the system under
consideration is much larger than the mean
free path (λ) of the molecules. In other words,
we are always concerned with volumes that are
very large compared to molecules dimensions.
For example, these are           molecules of in
1     at 1atm,     . λ of air at atmospheric
condition in ~0.1 μm

                                  國立成功大學工程科學系
2.3
Properties and states of a substance




                          國立成功大學工程科學系
   Phase : a q u a n t i t y o f ma t t e r t h a t i s
    homogeneous throughout.

   State:   a state is identified or described by
    certain observable macroscopic properties e.g.
    pressure, temperature).

   Properties:     a property is defined as any
    quantity that depend on the state of the system
    and is independent of the path (i.e. the prior
    history).
                                       國立成功大學工程科學系
   Equilibrium: it implies a state of balance.

   Thermal equilibrium: same temperature.

   Mechanical equilibrium: same pressure.

   Thermodynamic equilibrium: when a system
    is in eq’m regarding all possible changes of
    state


                                     國立成功大學工程科學系
   Intensive properties:
      properties independent of the mass.


   Extensive properties:
      properties dependent on the mass.




                                    國立成功大學工程科學系
2.4
Processes and Cycles




                 國立成功大學工程科學系
   Process:
    the path of the succession of states
    through which the system passes.




                                  國立成功大學工程科學系
Figure 2.3 Example of a system   that may undergo a quasi-equilibrium
process.

                                                  國立成功大學工程科學系
Q: how to describe the state of a system during a
  process when equilibrium does not exist?


A: Quasi-equilibrium process: the deviation
  from thermodynamic equilibrium states is
  infinitesimal.



                                   國立成功大學工程科學系
For non-equilibrium processes, we are
limited to the system before the process
occurs and after the process is completed
and equilibrium is restored.

An isothermal process is a constant –
temperature process, an isobaric (constant-
pressure) process.


                                 國立成功大學工程科學系
A thermodynamic cycle:
a system in a given initial state goes through a
number of different change of state on
processes and returns to its initial state.




                                   國立成功大學工程科學系
2.5
Basic Units for Mass, Length, Time and Force




                               國立成功大學工程科學系
They are related by Newton’s second law of
motion
           F = ma    (Metric SI system)
Where basic units are mass: kilogram (kg)
                     length :meter (m)
                     time :second (s)
                     force :Newton (N)
                     1N=1kg


                                國立成功大學工程科學系
Table 2.1




    Do not confuse “weight” with “mass”, the former is a
    concept of a force.


                                         國立成功大學工程科學系
Example 2.1

     What is the weight of a one kg mass at an
 altitude where the local acceleration of gravity
 is 9.75 m/ ?
Solution:
 Weight is the force acting on the mass, which from
 Newton’s second law is

   F = mg = 1kg9.75 m/     [1N /kg m] = 9.75 N
2.6

Energy




         國立成功大學工程科學系
   Energy can be stored within a system and
    can be transferred (as heat or work for
    example) from one system to another.

    Later in § 5.2
   E = U (internal energy) + KE + PE


                                國立成功大學工程科學系
Identify energy from the molecular viewpoint

 1. Intermolecular potential energy: forces
    between molecules.
 2. Molecular kinetic energy: translational
    velocities of individual molecules.
 3. Intermolecular energy: associated with the
   molecular and atomic structure and related
   force.


                                   國立成功大學工程科學系
Take a diatomic molecule (e.g.        ) for
example: there is translational energy as
molecules may travel in 3 directions, there is
rotational energy as molecules may rotate
about X and Y axes, and there is vibrational
energy as molecules vibrate along the Y axis.




                                國立成功大學工程科學系
Figure 2.4 The   coordinate system for a diatomic molecule.

                                            國立成功大學工程科學系
Although this course is on the
macroscopic viewpoint, it is helpful to
have microscopic perspective in mind
to better understand basic concepts of
thermodynamics.




                           國立成功大學工程科學系
Figure 2.5 Heat   transfer to water.



              國立成功大學工程科學系
2.7

Specific Volume and density




                      國立成功大學工程科學系
   specific volume,  : volume per unit mass (intensive
    property)
   density, ρ: mass per unit volume (kg/ )



         the smallest volume for which the
         mass can be considered a continuum.


                                          國立成功大學工程科學系
Figure 2.6 The   continuum limit for the specific volume.

                                            國立成功大學工程科學系
The continuum assumption simply means that
physical properties of fluid are distributed
continuously throughout space. Every point in
space has limit values for properties such as
v elo city, d en sity, p ressu re, e tc. Th is
assumption is valid when




                                國立成功大學工程科學系
where
 L: some characteristic length of the flow
   field of interest.
λ: mean free path (i.e., the average distance
    a molecule travels before colliding with
    another molecule.)


A commonly used volume unit is the liter (L).
    1L =       (the SI unit for volume is     )


                                  國立成功大學工程科學系
2.8

Pressure




           國立成功大學工程科學系
pressure, P: the normal component
of force per unit area




                        國立成功大學工程科學系
The SI unit for pressure :
 1 Pa (pascal) = 1N/

Two other units: 1 bar = Pa = 0.1 MPa
1atm (standard atmosphere) = 101325 Pa



                             國立成功大學工程科學系
Figure 2.9 Thebalance of forces on a movable boundary relates to
inside gas pressure.

                                               國立成功大學工程科學系
In most eases, we are concerned with
absolute pressure. Most pressure and
vacuum gauges, however, read difference
betw een the absolute pres sure and
atmospheric pressure existing at the gauge.
This is called “gauge pressure”. Pressure
differences are usually measured with a
manometer.



                               國立成功大學工程科學系
Figure 2.11 Illustration
                      of
terms used in pressure
measurement.

   國立成功大學工程科學系
Figure 2.12 Examples of pressure   measurement using a column
of fluid.

                                             國立成功大學工程科學系
Since points A and B are at the same elevation,




                                 (2.2)



 For distinguishing between absolute and gauge
 pressures, the term pascal will refer to
 absolute pressure. Any gauge pressure will be
 indicated as in (2.2)
                                         國立成功大學工程科學系
2.10

The Zeroth Law of Thermodynamics




                       國立成功大學工程科學系
It states that when two bodies have
equality of temperature with a third body,
they in turn have equality of temperature
with each other. It is the basis of
temperature measurement.




                             國立成功大學工程科學系
2.11

Temperature Scales




                國立成功大學工程科學系
   The scale used for measuring temperature in SI
    units is the Celsius scale,   It is based on two
    fixed, easily duplicated points, the ice point
    and the steam point. They are designated 0 and
    100 on the Celsius scale.

   The absolute scale related to the Celsius scale
    is the Kelvin scale, K.


   Students read Summary
                                      國立成功大學工程科學系

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Ch1,ch2

  • 1. Thermodynamics Chapter 1 Some Introductory Comments 國立成功大學工程科學系
  • 2. 1.1 The Simple Steam Power Plant 國立成功大學工程科學系
  • 3. Figure 1.1 Schematic diagram of a steam power plant. 國立成功大學工程科學系
  • 4. A schematic diagram of a recently installed steam power plant is shown in Fig1.1. High pressure superheated steam leaves the drum and enters the turbine. The steam expands in the turbine and in doing so does work, which enables the turbine to drive the electric generator. 國立成功大學工程科學系
  • 5. The steam, now at low pressure, exits the turbine and enters the heat exchanger, where heat is transferred from the steam (causing it to condense) to the cooling water. The pressure of the condensate leaving the condenser is increased in the pump, enabling it to return to the steam generator for reuse. 國立成功大學工程科學系
  • 6. Figure 1.4 Schematic diagram of a power plant. 國立成功大學工程科學系
  • 7. When a conventional power plant is viewed as a whole, as shown in Fig1.4, fuel and air enter the power plant and products of combustion leave the unit. There is also a transfer of heat to the cooling water, and work is done in the form of the electrical energy leaving the power plant. 國立成功大學工程科學系
  • 8. The overall objective of a power plant is to convert the availability of the fuel work (in the form of electrical energy) in the most efficient manner, taking consideration cost, space, and environmental concerns. 國立成功大學工程科學系
  • 9. 1.3 The Vapor-Compression Refrigeration Cycle 國立成功大學工程科學系
  • 10. Figure 1.6 Schematic diagram of a simple refrigeration cycle. 國立成功大學工程科學系
  • 11. A simple vapor-compression refrigeration cycle is shown schematically in Fig. 1.6. The refrigerant enters the compressor as a slightly superheated vapor at a low pressure. It then leaves the compressor and enters the condenser as a vapor at some elevated pressure, where the refrigerant is condensed as heat is transferred to cooling water or to the surroundings. 國立成功大學工程科學系
  • 12. The refrigerant then leaves the condenser as a high-pressure liquid. The pressure of the liquid is decreased as it flows through the expansion valve, and is vaporized in the evaporator as heat is transferred from the refrigerated space. This vapor then reenters the compressor. 國立成功大學工程科學系
  • 13. 1.6 The Gas Turbine 國立成功大學工程科學系
  • 14. Figure 1.11 A turbofan jet engine. 國立成功大學工程科學系
  • 15. The basic operation of a gas turbine is similar to that of the steam power plant, except that air is used instead of water. Fresh atmospheric air flows through a compressor that brings it to a high pressure. Energy is then added by spraying fuel into the air and igniting it so the combustion generates a high- temperature flow.
  • 16. This high-temperature, high-pressure gas enters a turbine, where it expands down to the exhaust pressure, producing a shaft work output and (or) discharging the exhaust gases at high velocity in the process.
  • 17. 1.7 The Chemical Rocket Engine 國立成功大學工程科學系
  • 18. Figure 1.12 Simplified schematic diagram of a liquid-propellant rocket engine. 國立成功大學工程科學系
  • 19. Fig 1.12 shows a simplified schematic diagram of a liquid-propellant rocket. The oxidizer and fuel are pumped through the injector plate into the combustion chamber where combustion takes place at high pressure. 國立成功大學工程科學系
  • 20. The high-pressure, high-temperature, products of combustion expand as they flow through the nozzle, and as a result they leave the nozzle with a high velocity. The momentum change associated with this increase in velocity gives rise to the forward thrust on the vehicle. 國立成功大學工程科學系
  • 21. Thermodynamics plays a vital role in the analysis, development, and design of all power-producing systems, refrigerative equipments, including reciprocating internal- combustion engines and gas turbine. 國立成功大學工程科學系
  • 22. Thermodynamics Chapter 2 Some Concepts and Definitions 國立成功大學工程科學系
  • 23. Thermodynamics: the science of energy and entropy.  Thermodynamics: the science deals with heat and work and those properties of substances that bear a relation to heat and work. 國立成功大學工程科學系
  • 24. Basis of thermodynamics: Experiments – They have been formalized into the 1st, 2nd, and 3rd laws of thermodynamics. 國立成功大學工程科學系
  • 25. 2.1 Thermodynamics system and the control volume 國立成功大學工程科學系
  • 26. System: A thermodynamic system comprises a device or combination of devices containing a quantity of matter that is being studied. 國立成功大學工程科學系
  • 27. Open system (control volume): a properly selected region in space so that it contains the matter and devices inside a control surface.  Closed system (control mass): when a control surface is closed to mass flow, no mass can cross its boundary.  Isolated system: when the energy (e.g. heat or work) is not allowed to cross the boundary. 國立成功大學工程科學系
  • 28. Figure 2.2 Example of a control volume. 國立成功大學工程科學系
  • 29. Figure 2.1 Example of a control mass. 國立成功大學工程科學系
  • 30. Surroundings: everything external to the control volume, with the separation given by the control surface or boundary. 國立成功大學工程科學系
  • 31. 2.2 Macroscopic vs. Microscopic Point of View 國立成功大學工程科學系
  • 32. Microscopic: there are molecules for a 25 of monatomic gas at atmospheric conditions. Thus, we must deal with equations at least (3 position coordinates and 3 velocity components). It’s a quite hopeless task. 國立成功大學工程科學系
  • 33. Macroscopic ▲ statistical approach (kinetic theory or statistical mechanics) ▲ classical thermodynamics ▲ Time-averaged influence (gross or average effects) of many molecules which can be measured (or experienced). 國立成功大學工程科學系
  • 34. Continuum concept of the macroscopic view This continuum model is valid when the characteristic length of the system under consideration is much larger than the mean free path (λ) of the molecules. In other words, we are always concerned with volumes that are very large compared to molecules dimensions. For example, these are molecules of in 1 at 1atm, . λ of air at atmospheric condition in ~0.1 μm 國立成功大學工程科學系
  • 35. 2.3 Properties and states of a substance 國立成功大學工程科學系
  • 36. Phase : a q u a n t i t y o f ma t t e r t h a t i s homogeneous throughout.  State: a state is identified or described by certain observable macroscopic properties e.g. pressure, temperature).  Properties: a property is defined as any quantity that depend on the state of the system and is independent of the path (i.e. the prior history). 國立成功大學工程科學系
  • 37. Equilibrium: it implies a state of balance.  Thermal equilibrium: same temperature.  Mechanical equilibrium: same pressure.  Thermodynamic equilibrium: when a system is in eq’m regarding all possible changes of state 國立成功大學工程科學系
  • 38. Intensive properties: properties independent of the mass.  Extensive properties: properties dependent on the mass. 國立成功大學工程科學系
  • 39. 2.4 Processes and Cycles 國立成功大學工程科學系
  • 40. Process: the path of the succession of states through which the system passes. 國立成功大學工程科學系
  • 41. Figure 2.3 Example of a system that may undergo a quasi-equilibrium process. 國立成功大學工程科學系
  • 42. Q: how to describe the state of a system during a process when equilibrium does not exist? A: Quasi-equilibrium process: the deviation from thermodynamic equilibrium states is infinitesimal. 國立成功大學工程科學系
  • 43. For non-equilibrium processes, we are limited to the system before the process occurs and after the process is completed and equilibrium is restored. An isothermal process is a constant – temperature process, an isobaric (constant- pressure) process. 國立成功大學工程科學系
  • 44. A thermodynamic cycle: a system in a given initial state goes through a number of different change of state on processes and returns to its initial state. 國立成功大學工程科學系
  • 45. 2.5 Basic Units for Mass, Length, Time and Force 國立成功大學工程科學系
  • 46. They are related by Newton’s second law of motion F = ma (Metric SI system) Where basic units are mass: kilogram (kg) length :meter (m) time :second (s) force :Newton (N) 1N=1kg 國立成功大學工程科學系
  • 47. Table 2.1 Do not confuse “weight” with “mass”, the former is a concept of a force. 國立成功大學工程科學系
  • 48. Example 2.1 What is the weight of a one kg mass at an altitude where the local acceleration of gravity is 9.75 m/ ? Solution: Weight is the force acting on the mass, which from Newton’s second law is F = mg = 1kg9.75 m/ [1N /kg m] = 9.75 N
  • 49. 2.6 Energy 國立成功大學工程科學系
  • 50. Energy can be stored within a system and can be transferred (as heat or work for example) from one system to another. Later in § 5.2  E = U (internal energy) + KE + PE 國立成功大學工程科學系
  • 51. Identify energy from the molecular viewpoint 1. Intermolecular potential energy: forces between molecules. 2. Molecular kinetic energy: translational velocities of individual molecules. 3. Intermolecular energy: associated with the molecular and atomic structure and related force. 國立成功大學工程科學系
  • 52. Take a diatomic molecule (e.g. ) for example: there is translational energy as molecules may travel in 3 directions, there is rotational energy as molecules may rotate about X and Y axes, and there is vibrational energy as molecules vibrate along the Y axis. 國立成功大學工程科學系
  • 53. Figure 2.4 The coordinate system for a diatomic molecule. 國立成功大學工程科學系
  • 54. Although this course is on the macroscopic viewpoint, it is helpful to have microscopic perspective in mind to better understand basic concepts of thermodynamics. 國立成功大學工程科學系
  • 55. Figure 2.5 Heat transfer to water. 國立成功大學工程科學系
  • 56. 2.7 Specific Volume and density 國立成功大學工程科學系
  • 57. specific volume,  : volume per unit mass (intensive property)  density, ρ: mass per unit volume (kg/ ) the smallest volume for which the mass can be considered a continuum. 國立成功大學工程科學系
  • 58. Figure 2.6 The continuum limit for the specific volume. 國立成功大學工程科學系
  • 59. The continuum assumption simply means that physical properties of fluid are distributed continuously throughout space. Every point in space has limit values for properties such as v elo city, d en sity, p ressu re, e tc. Th is assumption is valid when 國立成功大學工程科學系
  • 60. where L: some characteristic length of the flow field of interest. λ: mean free path (i.e., the average distance a molecule travels before colliding with another molecule.) A commonly used volume unit is the liter (L). 1L = (the SI unit for volume is ) 國立成功大學工程科學系
  • 61. 2.8 Pressure 國立成功大學工程科學系
  • 62. pressure, P: the normal component of force per unit area 國立成功大學工程科學系
  • 63. The SI unit for pressure : 1 Pa (pascal) = 1N/ Two other units: 1 bar = Pa = 0.1 MPa 1atm (standard atmosphere) = 101325 Pa 國立成功大學工程科學系
  • 64. Figure 2.9 Thebalance of forces on a movable boundary relates to inside gas pressure. 國立成功大學工程科學系
  • 65. In most eases, we are concerned with absolute pressure. Most pressure and vacuum gauges, however, read difference betw een the absolute pres sure and atmospheric pressure existing at the gauge. This is called “gauge pressure”. Pressure differences are usually measured with a manometer. 國立成功大學工程科學系
  • 66. Figure 2.11 Illustration of terms used in pressure measurement. 國立成功大學工程科學系
  • 67. Figure 2.12 Examples of pressure measurement using a column of fluid. 國立成功大學工程科學系
  • 68. Since points A and B are at the same elevation, (2.2) For distinguishing between absolute and gauge pressures, the term pascal will refer to absolute pressure. Any gauge pressure will be indicated as in (2.2) 國立成功大學工程科學系
  • 69. 2.10 The Zeroth Law of Thermodynamics 國立成功大學工程科學系
  • 70. It states that when two bodies have equality of temperature with a third body, they in turn have equality of temperature with each other. It is the basis of temperature measurement. 國立成功大學工程科學系
  • 71. 2.11 Temperature Scales 國立成功大學工程科學系
  • 72. The scale used for measuring temperature in SI units is the Celsius scale, It is based on two fixed, easily duplicated points, the ice point and the steam point. They are designated 0 and 100 on the Celsius scale.  The absolute scale related to the Celsius scale is the Kelvin scale, K.  Students read Summary 國立成功大學工程科學系