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Energy Systems + Thermofluids 3
Lectures | Tutorials | Practicals
KEITH VAUGH - Lecture 2
KEITH VAUGH
BASIC CONCEPTS
Lecture 2
Keith Vaugh BEng (AERO) MEng
Reference text: Chapter 2 - Fundamentals of Thermal-Fluid Sciences, 3rd Edition
Yunus A. Cengel, Robert H. Turner, John M. Cimbala
McGraw-Hill, 2008
KEITH VAUGH
Identify the unique vocabulary associated with
thermodynamics through the precise definition of basic
concepts to form a sound foundation for the development
of the principles of thermodynamics.
Explain the basic concepts of thermodynamics such as
system, state, state postulate, equilibrium, process, and
cycle.
Review concepts of temperature, temperature scales,
pressure and, absolute and gauge pressure.
OBJECTIVE
S
KEITH VAUGH
SYSTEMS &
CONTROL
VOLUMES
System: A quantity of matter or a region in space
chosen for study.
Surroundings: The mass or region outside the system.
Boundary: The real or imaginary surface that separates
the system from its surroundings.
The boundary of a system can be fixed or movable.
Systems may be considered to be closed or open.
KEITH VAUGH
KEITH VAUGH
Closed system (Control mass)
A fixed amount of mass, and no
mass can cross its boundary
If energy is not allowed to cross
the boundary, then that system
is called an isolated system
KEITH VAUGH
Open system (control volume)
A properly selected region in space.
It usually encloses a device that involves mass flow
such as a compressor, turbine, or nozzle.
Both mass and energy can cross the boundary of a
control volume.
Control surface
The boundaries of a control volume. It can be real or
imaginary.
An open system (a control volume)
with one inlet and one exit.
KEITH VAUGH
A control volume with real and
imaginary boundaries
A control volume with fixed and
moving boundaries
KEITH VAUGH
Property: Any characteristic of a system. Some familiar
properties are pressure P, temperature T, volume V, and
mass m. Properties are considered to be either intensive or
extensive.
Intensive properties: Those that are independent of the
mass of a system, such as temperature, pressure, and
density.
Extensive properties: Those whose values depend on the
size or extent of the system.
Specific properties: Extensive properties per unit mass.
PROPERTIES
OF A SYSTEM
KEITH VAUGH
Intensive or Extensive?
To identify whether a property is either, divid
the system into two equal parts. Each part will
have the same value of intensive property but
half the value of the extensive property
m
V
T
P
ρ
½m
½V
T
P
ρ
½m
½V
T
P
ρ
{
{
Extensive
properties
Intensive
properties
KEITH VAUGH
CONTINUUM
Matter is made up of atoms that are widely spaced in the gas phase. Yet it is
very convenient to disregard the atomic nature of a substance and view it as
a continuous, homogeneous matter with no holes, that is, a continuum.
The continuum idealisation allows us to treat properties as point functions
and to assume the properties vary continually in space with no jump
discontinuities.
This idealisation is valid as long as the size of the system we deal with is
large relative to the space between the molecules.
This is the case in practically all problems we will encounter in this module.
In this lecture series we will limit our consideration to substances that can be
modelled as a continuum.
KEITH VAUGH
Despite the large gaps between molecules, a
substance can be treated as a continuum
because of the very large number of
molecules even in an extremely small volume
KEITH VAUGH
DENSITY &
SPECIFIC
GRAVITY
Density
Specific weight: The weight of a unit volume of a
substance
Specific gravity: The ratio of density of a substance to the
density of some standard substance at a specific
temperature
Specific volume
KEITH VAUGH
Equilibrium - A state of balance. In an equilibrium state there are no
unbalanced potentials (or driving forces) within the system.
Thermal equilibrium - If the temperature is the same throughout the
entire system.
Mechanical equilibrium - If there is no change in pressure at any point of
the system with time.
Phase equilibrium - If a system involves two phases and when the mass
of each phase reaches an equilibrium level and stays there.
Chemical equilibrium - If the chemical composition of a system does not
change with time, that is, no chemical reactions occur.
STATE &
EQUILIBRIUM
Thermodynamics deals with equilibrium states
KEITH VAUGH
A system at two different states
A closed system reaching thermal
equilibrium
KEITH VAUGH
The state of nitrogen is fixed by two
independent, intensive properties
The State Postulate
The number of properties required to fix the
state of a system is given by the state postulate:
The state of a simple compressible system is
completely specified by two independent,
intensive properties.
Simple compressible system is a system that
involves no electrical, magnetic, gravitational,
motion, and surface tension effects.
KEITH VAUGH
Process: Any change that a system undergoes from one
equilibrium state to another.
Path: The series of states through which a system passes
during a process.
To describe a process completely, one should specify the
initial and final states, as well as the path it follows and the
interactions with the surroundings.
PROCESSES &
CYCLES
KEITH VAUGH
Quasistatic or quasi-equilibrium process
When a process proceeds in such a manner
that the system remains infinitesimally close
to an equilibrium state at all times, i.e.
properties in one part of the system do not
change faster than those in another part.
Nonquasi-equilibrium process
When a process proceeds in such a
manner that the system rapidly changes and
cannot maintain an equilibrium state.
KEITH VAUGH
Process diagrams plotted by using thermodynamic properties as
coordinates are very useful in visualising the processes.
Some common properties that are used as coordinates are
temperature T, pressure P, and volume V (or specific volume 𝝂).
The prefix iso- is often used to designate a process for which a
particular property remains constant.
Isothermal process
A process during which the temperature T remains constant.
Isobaric process
A process during which the pressure P remains constant.
Isochoric (or isometric) process
A process during which the specific volume 𝝂 remains constant.
Cycle
A process during which the initial and final states are identical.
KEITH VAUGH
BASIC CONCEPTS
Lecture 2 - part 2
Keith Vaugh BEng (AERO) MEng
Reference text: Chapter 2 - Fundamentals of Thermal-Fluid Sciences, 3rd Edition
Yunus A. Cengel, Robert H. Turner, John M. Cimbala
McGraw-Hill, 2008
KEITH VAUGH
The term steady implies no change with time. The opposite of
steady is unsteady, or transient.
A large number of engineering devices operate for long periods
of time under the same conditions, and these are classified as
steady-flow devices.
Steady-flow process
A process during which a fluid flows through a control volume
steadily.
Steady-flow conditions can be closely approximated by devices
that are intended for continuous operation such as turbines,
pumps, boilers, condensers, and heat exchangers or power
plants or refrigeration systems
THE STEADY-
FLOW PROCESS
KEITH VAUGH
During a steady-flow process, fluid
properties within the control volume
may change with position but not
with time
Under steady-flow conditions, the
mass and energy contents of a
control volume remain constant
KEITH VAUGH
TEMPERATURE &
THE ZEROTH
LAW
If two bodies are in thermal equilibrium with a third body,
they are also in thermal equilibrium with each other.
By replacing the third body with a thermometer, the zeroth
law can be restated as two bodies are in thermal
equilibrium if both have the same temperature reading
even if they are not in contact.
Two bodies reaching thermal
equilibrium after being brought into
contact in an isolated enclosure
KEITH VAUGH
All temperature scales are based on some easily
reproducible states such as the freezing and boiling
points of water: the ice point and the steam point.
Ice point: A mixture of ice and water that is in
equilibrium with air saturated with vapour at 1 atm
pressure (0°C or 32°F).
Steam point: A mixture of liquid water and water
vapour (with no air) in equilibrium at 1 atm pressure
(100°C or 212°F).
TEMPERATURE
SCALES
KEITH VAUGH
Celsius scale: in SI unit system
Fahrenheit scale: in Imperial unit system
Thermodynamic temperature scale: A temperature
scale that is independent of the properties of any
substance.
Kelvin scale (SI) Rankine scale (E): A temperature
scale nearly identical to the Kelvin scale is the ideal-gas
temperature scale. The temperatures on this scale are
measured using a constant-volume gas thermometer.
KEITH VAUGH
P versus T plots of the experimental
data obtained from a constant-volume
gas thermometer using four different
gases at different (but low pressures)
KEITH VAUGH
Comparison of temperature scales
T(K) = T(C) + 273.15
T(R) = T(F) + 459.67
T(R) = 1.8T(K)
T(F) = 1.8T(C) + 32
The reference temperature in the original
Kelvin scale was the ice point, 273.15 K,
which is the temperature at which water
freezes (or ice melts)
The reference point was changed to a
much more precisely reproducible point,
the triple point of water (the state at
which all three phases of water coexist in
equilibrium), which is assigned the value
273.16 K.
KEITH VAUGH
A normal force exerted by a fluid per unit area
PRESSURE
KEITH VAUGH
Absolute pressure
The actual pressure at a given position. It is measured relative to absolute vacuum (i.e.,
absolute zero pressure).
Gauge pressure
The difference between the absolute pressure and the local atmospheric pressure. Most
pressure-measuring devices are calibrated to read zero in the atmosphere, and so they
indicate gage pressure.
Vacuum pressures
Pressures below atmospheric
pressure.
KEITH VAUGH
Variation of Pressure with Depth
The pressure of a fluid at rest increases
with depth (as a result of added weight).
Free-body diagram of a rectangular
fluid in equilibrium.
KEITH VAUGH
In a room filled with a gas, the variation
of pressure with height is negligible
Pressure in a liquid at rest increases
linearly with distance from the free
surface
When the variation of density
with elevation is known
KEITH VAUGH
The pressure is the same at all points on a horizontal plane in a given
fluid regardless of geometry, provided that the points are
interconnected by the same fluid
KEITH VAUGH
Pascal’s Law
The pressure applied to a
confined fluid increases the
pressure throughout by the same
amount
Lifting of a large weight by a small
force by the application of Pascal’s law
The area ratio is called the Ideal
mechanical advantage of the
hydraulic lift
KEITH VAUGH
The Barometer and Atmospheric Pressure
Atmospheric pressure is measured by a device called a barometer; thus, the
atmospheric pressure is often referred to as the barometric pressure.
A frequently used pressure unit is the standard atmosphere, which is defined as the
pressure produced by a column of mercury 760 mm in height at 0°C (ρHg = 13,595
kg/m3) under standard gravitational acceleration (g = 9.807 m/s2).
The basic manometer
The length or the
cross-sectional area
of the tube has no
effect on the height of
the fluid column of a
barometer
KEITH VAUGH
The Manometer
It is commonly used to measure small and
moderate pressure differences. A manometer
contains one or more fluids such as mercury,
water, alcohol, or oil
The basic manometer
In stacked-up fluid layers, the pressure
change across a fluid layer of density ρ
and height h is ρgh
KEITH VAUGH
Measuring the pressure drop across a
flow section or a flow device by a
differential manometer
Other pressure measurement devices
KEITH VAUGH
Systems and control volumes
Properties of a system
Density and specific gravity
State and equilibrium
The state postulate
Processes and cycles
The state-flow process
Temperature and the zeroth law of thermodynamics
Temperature scales
Pressure
Variation of pressure with depths

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L2 - Basic Concepts 2023 UD.pptx

  • 1. Energy Systems + Thermofluids 3 Lectures | Tutorials | Practicals KEITH VAUGH - Lecture 2
  • 2. KEITH VAUGH BASIC CONCEPTS Lecture 2 Keith Vaugh BEng (AERO) MEng Reference text: Chapter 2 - Fundamentals of Thermal-Fluid Sciences, 3rd Edition Yunus A. Cengel, Robert H. Turner, John M. Cimbala McGraw-Hill, 2008
  • 3. KEITH VAUGH Identify the unique vocabulary associated with thermodynamics through the precise definition of basic concepts to form a sound foundation for the development of the principles of thermodynamics. Explain the basic concepts of thermodynamics such as system, state, state postulate, equilibrium, process, and cycle. Review concepts of temperature, temperature scales, pressure and, absolute and gauge pressure. OBJECTIVE S
  • 4. KEITH VAUGH SYSTEMS & CONTROL VOLUMES System: A quantity of matter or a region in space chosen for study. Surroundings: The mass or region outside the system. Boundary: The real or imaginary surface that separates the system from its surroundings. The boundary of a system can be fixed or movable. Systems may be considered to be closed or open.
  • 6. KEITH VAUGH Closed system (Control mass) A fixed amount of mass, and no mass can cross its boundary If energy is not allowed to cross the boundary, then that system is called an isolated system
  • 7. KEITH VAUGH Open system (control volume) A properly selected region in space. It usually encloses a device that involves mass flow such as a compressor, turbine, or nozzle. Both mass and energy can cross the boundary of a control volume. Control surface The boundaries of a control volume. It can be real or imaginary. An open system (a control volume) with one inlet and one exit.
  • 8. KEITH VAUGH A control volume with real and imaginary boundaries A control volume with fixed and moving boundaries
  • 9. KEITH VAUGH Property: Any characteristic of a system. Some familiar properties are pressure P, temperature T, volume V, and mass m. Properties are considered to be either intensive or extensive. Intensive properties: Those that are independent of the mass of a system, such as temperature, pressure, and density. Extensive properties: Those whose values depend on the size or extent of the system. Specific properties: Extensive properties per unit mass. PROPERTIES OF A SYSTEM
  • 10. KEITH VAUGH Intensive or Extensive? To identify whether a property is either, divid the system into two equal parts. Each part will have the same value of intensive property but half the value of the extensive property m V T P ρ ½m ½V T P ρ ½m ½V T P ρ { { Extensive properties Intensive properties
  • 11. KEITH VAUGH CONTINUUM Matter is made up of atoms that are widely spaced in the gas phase. Yet it is very convenient to disregard the atomic nature of a substance and view it as a continuous, homogeneous matter with no holes, that is, a continuum. The continuum idealisation allows us to treat properties as point functions and to assume the properties vary continually in space with no jump discontinuities. This idealisation is valid as long as the size of the system we deal with is large relative to the space between the molecules. This is the case in practically all problems we will encounter in this module. In this lecture series we will limit our consideration to substances that can be modelled as a continuum.
  • 12. KEITH VAUGH Despite the large gaps between molecules, a substance can be treated as a continuum because of the very large number of molecules even in an extremely small volume
  • 13. KEITH VAUGH DENSITY & SPECIFIC GRAVITY Density Specific weight: The weight of a unit volume of a substance Specific gravity: The ratio of density of a substance to the density of some standard substance at a specific temperature Specific volume
  • 14. KEITH VAUGH Equilibrium - A state of balance. In an equilibrium state there are no unbalanced potentials (or driving forces) within the system. Thermal equilibrium - If the temperature is the same throughout the entire system. Mechanical equilibrium - If there is no change in pressure at any point of the system with time. Phase equilibrium - If a system involves two phases and when the mass of each phase reaches an equilibrium level and stays there. Chemical equilibrium - If the chemical composition of a system does not change with time, that is, no chemical reactions occur. STATE & EQUILIBRIUM Thermodynamics deals with equilibrium states
  • 15. KEITH VAUGH A system at two different states A closed system reaching thermal equilibrium
  • 16. KEITH VAUGH The state of nitrogen is fixed by two independent, intensive properties The State Postulate The number of properties required to fix the state of a system is given by the state postulate: The state of a simple compressible system is completely specified by two independent, intensive properties. Simple compressible system is a system that involves no electrical, magnetic, gravitational, motion, and surface tension effects.
  • 17. KEITH VAUGH Process: Any change that a system undergoes from one equilibrium state to another. Path: The series of states through which a system passes during a process. To describe a process completely, one should specify the initial and final states, as well as the path it follows and the interactions with the surroundings. PROCESSES & CYCLES
  • 18. KEITH VAUGH Quasistatic or quasi-equilibrium process When a process proceeds in such a manner that the system remains infinitesimally close to an equilibrium state at all times, i.e. properties in one part of the system do not change faster than those in another part. Nonquasi-equilibrium process When a process proceeds in such a manner that the system rapidly changes and cannot maintain an equilibrium state.
  • 19. KEITH VAUGH Process diagrams plotted by using thermodynamic properties as coordinates are very useful in visualising the processes. Some common properties that are used as coordinates are temperature T, pressure P, and volume V (or specific volume 𝝂). The prefix iso- is often used to designate a process for which a particular property remains constant. Isothermal process A process during which the temperature T remains constant. Isobaric process A process during which the pressure P remains constant. Isochoric (or isometric) process A process during which the specific volume 𝝂 remains constant. Cycle A process during which the initial and final states are identical.
  • 20. KEITH VAUGH BASIC CONCEPTS Lecture 2 - part 2 Keith Vaugh BEng (AERO) MEng Reference text: Chapter 2 - Fundamentals of Thermal-Fluid Sciences, 3rd Edition Yunus A. Cengel, Robert H. Turner, John M. Cimbala McGraw-Hill, 2008
  • 21. KEITH VAUGH The term steady implies no change with time. The opposite of steady is unsteady, or transient. A large number of engineering devices operate for long periods of time under the same conditions, and these are classified as steady-flow devices. Steady-flow process A process during which a fluid flows through a control volume steadily. Steady-flow conditions can be closely approximated by devices that are intended for continuous operation such as turbines, pumps, boilers, condensers, and heat exchangers or power plants or refrigeration systems THE STEADY- FLOW PROCESS
  • 22. KEITH VAUGH During a steady-flow process, fluid properties within the control volume may change with position but not with time Under steady-flow conditions, the mass and energy contents of a control volume remain constant
  • 23. KEITH VAUGH TEMPERATURE & THE ZEROTH LAW If two bodies are in thermal equilibrium with a third body, they are also in thermal equilibrium with each other. By replacing the third body with a thermometer, the zeroth law can be restated as two bodies are in thermal equilibrium if both have the same temperature reading even if they are not in contact. Two bodies reaching thermal equilibrium after being brought into contact in an isolated enclosure
  • 24. KEITH VAUGH All temperature scales are based on some easily reproducible states such as the freezing and boiling points of water: the ice point and the steam point. Ice point: A mixture of ice and water that is in equilibrium with air saturated with vapour at 1 atm pressure (0°C or 32°F). Steam point: A mixture of liquid water and water vapour (with no air) in equilibrium at 1 atm pressure (100°C or 212°F). TEMPERATURE SCALES
  • 25. KEITH VAUGH Celsius scale: in SI unit system Fahrenheit scale: in Imperial unit system Thermodynamic temperature scale: A temperature scale that is independent of the properties of any substance. Kelvin scale (SI) Rankine scale (E): A temperature scale nearly identical to the Kelvin scale is the ideal-gas temperature scale. The temperatures on this scale are measured using a constant-volume gas thermometer.
  • 26. KEITH VAUGH P versus T plots of the experimental data obtained from a constant-volume gas thermometer using four different gases at different (but low pressures)
  • 27. KEITH VAUGH Comparison of temperature scales T(K) = T(C) + 273.15 T(R) = T(F) + 459.67 T(R) = 1.8T(K) T(F) = 1.8T(C) + 32 The reference temperature in the original Kelvin scale was the ice point, 273.15 K, which is the temperature at which water freezes (or ice melts) The reference point was changed to a much more precisely reproducible point, the triple point of water (the state at which all three phases of water coexist in equilibrium), which is assigned the value 273.16 K.
  • 28. KEITH VAUGH A normal force exerted by a fluid per unit area PRESSURE
  • 29. KEITH VAUGH Absolute pressure The actual pressure at a given position. It is measured relative to absolute vacuum (i.e., absolute zero pressure). Gauge pressure The difference between the absolute pressure and the local atmospheric pressure. Most pressure-measuring devices are calibrated to read zero in the atmosphere, and so they indicate gage pressure. Vacuum pressures Pressures below atmospheric pressure.
  • 30. KEITH VAUGH Variation of Pressure with Depth The pressure of a fluid at rest increases with depth (as a result of added weight). Free-body diagram of a rectangular fluid in equilibrium.
  • 31. KEITH VAUGH In a room filled with a gas, the variation of pressure with height is negligible Pressure in a liquid at rest increases linearly with distance from the free surface When the variation of density with elevation is known
  • 32. KEITH VAUGH The pressure is the same at all points on a horizontal plane in a given fluid regardless of geometry, provided that the points are interconnected by the same fluid
  • 33. KEITH VAUGH Pascal’s Law The pressure applied to a confined fluid increases the pressure throughout by the same amount Lifting of a large weight by a small force by the application of Pascal’s law The area ratio is called the Ideal mechanical advantage of the hydraulic lift
  • 34. KEITH VAUGH The Barometer and Atmospheric Pressure Atmospheric pressure is measured by a device called a barometer; thus, the atmospheric pressure is often referred to as the barometric pressure. A frequently used pressure unit is the standard atmosphere, which is defined as the pressure produced by a column of mercury 760 mm in height at 0°C (ρHg = 13,595 kg/m3) under standard gravitational acceleration (g = 9.807 m/s2). The basic manometer The length or the cross-sectional area of the tube has no effect on the height of the fluid column of a barometer
  • 35. KEITH VAUGH The Manometer It is commonly used to measure small and moderate pressure differences. A manometer contains one or more fluids such as mercury, water, alcohol, or oil The basic manometer In stacked-up fluid layers, the pressure change across a fluid layer of density ρ and height h is ρgh
  • 36. KEITH VAUGH Measuring the pressure drop across a flow section or a flow device by a differential manometer Other pressure measurement devices
  • 37. KEITH VAUGH Systems and control volumes Properties of a system Density and specific gravity State and equilibrium The state postulate Processes and cycles The state-flow process Temperature and the zeroth law of thermodynamics Temperature scales Pressure Variation of pressure with depths

Editor's Notes

  1. Other pressure measurement devices Bourdon tube: Consists of a hollow metal tube bent like a hook whose end is closed and connected to a dial indicator needle. Pressure transducers: Use various techniques to convert the pressure effect to an electrical effect such as a change in voltage, resistance, or capacitance. Pressure transducers are smaller and faster, and they can be more sensitive, reliable, and precise than their mechanical counterparts. Strain-gage pressure transducers: Work by having a diaphragm deflect between two chambers open to the pressure inputs. Piezoelectric transducers: Also called solid-state pressure transducers, work on the principle that an electric potential is generated in a crystalline substance when it is subjected to mechanical pressure.