mae 431 energy systems i - university at buffalo · aircraft - high velocity jet transportation -...
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MAE 431 ENERGY SYSTEMS I
http://www.eng.buffalo.edu/Courses/mae431
ENERGY SOURCES TYPE DISADVANTAGE ADVANTAGE COAL Deep Mine Strip Mine
Heat Energy 12,000Btu/lb Chemical
Environtal Damage Occupational Danger
Cheap, Abundant
NATURAL GAS Conventional Shale Gas
Heat Energy 950 Btu/ft3
Chemical
Well sealing Water clean up Difficult in ransportation
Cheap Abundant
OIL Conventional Shale Oil
Heat Energy 18,000 Btu/lb Chemical
Very Transportable Limited Supply
Expensive Politically Sensitive
GEOTHERMAl Heat Energy Limited Supply No Fuel Cost NUCLEAR FISSION Heat Energy Radioactive waste
Capital Cost Fuel cost
FUSION Heat Energy Not Commercial Long Development (50 yr)
Fuel Cost Low Radiation Unlimited Supply
SOLAR Thermal Heat Energy 200-250 Btu/ft2 hr
Large Area Required Unavailable Periods
No Fuel Cost
BIOFUELS Heat Energy Oil replacement HYDRO Potential Limited Locations No Fuel Cost WIND Kinetic Energy
> 30 mph required Limited Locations Unavailable Periods
No Fuel Cost
SOLAR Photovoltaic Radiation Energy 200-250 Btu/ft2 hr
Large Area Required Unavailable Periods
No Fuel Cost
WAVE AND TIDE Kinetic Energy Limited Locations Capital Cost
No Fuel Cost
ELECTRICITY?
HYDROGEN?
ENERGY SYSTEMS ENERGY SOURCE TYPE ENERGY SYSTEMS COAL Deep Mine Strip Mine
Heat Energy 12,000Btu/lb
Steam Electric Heating Synfuel
NATURAL GAS Conventional Shale Gas
Heat Energy 950 Btu/ft3
Gas Turbine Electric Gas Turbine Mechanical Combined Cycle Heating
OIL Conventional Shale Oil
Heat Energy 18,000 Btu/lb
Gasoline Engine Diesel Engine Heating Aircraft Gas Turbinel
GEOTHERMAl Heat Energy Steam Electric NUCLEAR FISSION Heat Energy Steam Electric FUSION Heat Energy Steam Electric SOLAR Thermal Heat Energy
200-250 Btu/ft2hr Steam Electric
BIOFUELS Heat Energy Oil Substitute HYDRO Potential Energy Electric WIND Kinetic Energy
> 30 mph required Electric
SOLAR Photovoltaic Radiation Energy 200-250 Btu/ft2 hr
Electric
WAVE AND TIDE Kinetic Energy Electric
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Gas Power Cycles Brayton Cycle Gas Turbine Aircraft - high velocity jet Transportation - mechanical powerStationary power - mechanical power
Otto Cycle - spark ignition engines Diesel engines
- trucks, locomotives, stationary powerCompression Systems
- Process Industry, Air toolsVapor Power Cycles
Rankine Cycle steam and nuclear plantsOrganic Cycle systems
Refrigeration CyclesVapor compression - air conditioning, refrigerationHeat PumpsReverse Brayton Cycle - air conditioning, cryogenics
Non-Reacting MixturesGas MixturesPsychrometrics
Non-Reacting MixturesGas MixturesPsychrometrics
Reacting MixturesCombustion
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Chapter 1 ConceptsThermodynamic system, properties, state
point, process, cycle, heat and work.Thermodynamic problem solving technique.
Chapter 3 Fluid PropertiesReal gases - steam, air, refrigerants tablesIdeal gases, Equations of stateFirst Law in Closed Systems
Chapter First LawFirst Law for processes and cycles
Chapter 6 Second LawStatement and CorollariesHeat EnginesReversible engines and refrigeratorsCarnot Cycle
Chapter 7 EntropySecond Law and heat enginesThe Entropy propertyIsentropic processEntropy change calculation
Course SummaryREVIEW OF THERMODYNAMICSChapters 1-6, about 3 weeks
Chapter 4 Closed SystemsFirst Law in closed Systems
Chapter Control VolumesMass balance in Open SystemsFirst Law in Open Systems
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Chapter 9 Gas Power CyclesBrayton (gas turbine) cycleOtto (spark ignition engine) cycleDiesel cycle
Chapter 10 Vapor Power CyclesRankine (steam power) reheat,
superheat and regeneration cycles
Chapter 11 Refrigeration CyclesVapor Compression CycleHeat PumpsReversed Brayton Cycle
Course SummaryENERGY SYSTEM TOPICSChapters 7-13, about 11 weeks
Chapter 12 Property RelationshipsUsing equations of stateMaxwell RelationsProperty Evaluation
Chapter 13 MixturesProperties of mixtures.
Chapter 15 Reacting MixturesReaction mass balances.Reacting energy balances.Combustion
Chapter 8 Exergy, AvailiabilityAvailability in Energy SystemsExergy
Chapter 14 Gas- Vapor MixturesProperties of air water vapor mixtures.Psychrometrics
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8
inQ
turbinecompressorWW = outputnet
W
Aero-derivative Gas Turbine
PowerTurbine
GasGenerator
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Furnas Hall J79-GE-8A Fighter Turbojet EngineFirst flight 1955, 17,000 built, replaced 1960Compressor (right end), Combustor (red) Turbine (left end)
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Furnas Hall J79-GE-8A Fighter Turbojet EngineCombustor (red) and Turbine Stages
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Gas Turbine TechnologiesThermodynamics
- process design, T, p and mass flowAerodynamics
- compressor and turbine bladesStress AnalysisVibrationBearing and Lubrication SupplyRotordynamicsManufacturing ProcessesMechanical DesignControls and instrumentation
Energy Systems are not all thermodynamics. Thermodynamics is the beginning of Energy System design – Process Design.
This Course: Thermodynamics of Energy SystemsProcess Design of Energy Systems
Gas Turbine Engineering TasksDesign RequirementsDevelopmentDesignDevelopment TestingManufactureShop TestingField TestingInstallationMaintenanceOperationRevamp
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Thermodynamics OverviewThermodynamics
Thermodynamics is the study of the relationship between allforms of Energy beginning historically with the relationship between Heat and Work.
Laws of Thermodynamics ( fundamental observations)Mass Balance (should be a law)
Mass can not be created or destroyed and is conserved.
First Law (Energy Balance)Heat and work are equivalentProperty energy is definedEnergy can change form, can not be destroyed, and is conserved
Second LawHeat can not be converted completely to work.Property entropy defined.Ideal and actual heat engine efficiency.
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Thermodynamics Concepts
Thermodynamic SystemPropertiesState Point ProcessCycleHeatWorkEnergy
First Law - Energy Balance lead the analysis
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Thermodynamic
HEATWORK
MASS
Control Volume
3 Types of SYSTEMSClosedOpenUnsteady
CONCEPTSSystemPropertiesState PointProcessCycle
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CLOSED THERMODYNAMIC SYSTEMNON FLOW SYSTEM
A mass of material. Heat and Work can
cross the system boundaries. Mass can not.
Examples:A closed tank.A piston cylinder.Internal Combustion Cylinder
WorkHeat
CONCEPTSSystemPropertiesState PointProcessCycle
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OPEN THERMODYNAMIC SYSTEMSTEADY FLOW SYSTEM
A fixed region in space. Mass, heat and work can cross the system boundaries.Examples:
turbine, compressors,boilers, heat exchangers
Mass inMass out
HeatWork
CONCEPTSSystemPropertiesState PointProcessCycle
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UNSTEADY FLOW THERMODYNAMIC SYSTEM
A variable region in space.Mass, heat and work cancross the system boundaries
Examples:A filling tank.An emptying tankPiston-Cylinder Filling
WorkHeat
Mass
CONCEPTSSystemPropertiesState PointProcessCycle
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Thermodynamic PropertiesTemperaturePressure VolumeInternal EnergyEnthalpyEntropy
vmassV ft,m
lbm/ft,kg/m/lbft/kg,m
pressureAmbient pressure Gagepressure Absolute lb/in bar, s,atmosphere kPa,
459.69FR273.15CK
32.C1.8FRK, absolute, C,F,
33
33
33
2
oo
oo
oo
oooo
×=−
−
−
+=−
+=
+=
+×=
−
VolumeV Density ρ
lumeSpecificVo v
Pressure p
eTemperatur
CONCEPTSSystemPropertiesState PointProcessCycle
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Thermodynamic Properties
smS KkJ/
FBTU/lbm C,kJ/kghmH
BTU kJ,
FBTU/lbm C,kJ/kg pressure,constant at heat specificc
dTcdh pvuh
BTU/lbm kJ/kg,
o
oo
oop
p
×=−
−
×=−
=+=
−
Entropy SEntropy Specific s
Enthalpy H
Enthalpy Specific h
BTU kJ,FBTU/lbm C,/kgm kG/jg,
olume,constant vat heat specifcc dTcdu
BTU/lb kJ/kg,
oo3v
v
−
−=
−
ergyInternalEn U
gyternalEnerSpecificIn u
CONCEPTSSystemPropertiesState PointProcessCycle
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THERMODYNAMIC STATE POINT
Properties are measured.
Equations and models are fitted to the data resulting in :
Tables of Property ValuesEquations of StateComputer property modules
Two properties define thestate point of a single phasefluid.
One property defines the state point of a multiphasefluid.
absisa property
ordinate property
(T,p,v,u,h,s)
CONCEPTSSystemPropertiesState PointProcessCycle
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THERMODYNAMIC PROCESSA thermodynamic process is an interaction between a thermodynamic system and
its surroundings which results in a change in the state point of the system
Reversible ProcessA process is reversible if the state points of all affectedthermodynamic systems, including the external systemor surroundings, are returned to their original state point values.
Examples:- movement of a frictionless pendulum- transfer of work to potential energy without loss- movement of a frictionless spring
Irreversible ProcessA process which can not be reversed bringing all the affected
thermodynamic properties back to their original values is irreversible.
Examples:
- applying brakes to a moving wheel
- mixing hot and cold water
- transfer of heat through a finite temperature difference
WorkHeat
CONCEPTSSystemPropertiesState PointProcessCycle
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THERMODYNAMIC CYCLE
A thermodynamic system undergoesa cycle when the system is subjected to a seriesof processes and all of the state point properties of the system are returned to their initial values.
p
vinitial point
dependent.path is that ederiviativ a al,differentiinexact an is δ
WQ
LawFirst
WW
cycleprocessnetcycle
cycleprocess
netcycle
∫∫
∑
∑
δ=δ
=
=
CONCEPTSSystemPropertiesState PointProcessCycle
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1. Problem StatementCarbon dioxide is contained in a cylinder
with a piston. The carbon dioxide is compressedwith heat removal from T1,p1 to T2,p2. The gasis then heated from T2, p2 to T3, p3 at constant volume and then expanded without heat transfer to the original state point.
2. Schematic
3. Select Thermodynamic Systemopen - closed - control volume
a closed thermodynamic systemcomposed to the mass of carbondioxide in the cylinder
4. Property Diagramstate points - processes - cycle
T1,p1
T3,p3
T2,p2
5. Property Determination
T2,p2
1 2 3 T pvuhs
p
v
p
v
6. Laws of ThermodynamicsQ=? W=? E=? material flows=?
2CO
Thermodynamic Problem Solving Technique
QW
QW
surroundingsW
CONCEPTSSystemPropertiesState PointProcessCycle
Q
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∂∂
+∂∂
τ+
∂∂
+∂∂
τ+
∂∂
+∂∂
τ−
∂∂
τ+∂∂
τ+∂∂
τ−
∂∂
+∂∂
+∂∂
∂∂
−
∂
∂+
∂∂
+∂∂
−=
∂∂
+∂∂
+∂∂
+∂∂
ρ
ρ+
τ
∂∂
+τ∂∂
+τ∂∂
−
∂∂
ρ+∂∂
ρ+∂∂
ρ−∂∂
−=ρ∂∂
ρ+
τ
∂∂
+τ∂∂
+τ∂∂
−
∂∂
ρ+∂∂
ρ+∂∂
ρ−∂∂
−=ρ∂∂
ρ+
τ
∂∂
+τ∂∂
+τ∂∂
−
∂∂
ρ+∂∂
ρ+∂∂
ρ−∂∂
−=ρ∂∂
−
=
∂∂
+∂∂
+∂∂
+
∂∂
+∂∂
+∂∂
+∂∂
yw
zv
xw
zu
xv
yu
zw
yv
xu
zw
yv
xu
TpT
zq
yq
xq
zTw
yTv
xTu
tTc
ENERGY
fzyxz
wwyvv
xwu
zpw
t
fzyxz
vwyvv
xvu
ypv
t
fzyxz
uwyuv
xuu
xpu
t
directions zy,x,MOMENTUM
0zwρ
yvρ
xuρ
zρw
yρv
xρu
tρ
CONTINUITY
yzxzxyzzyyxx
p
zyxv
zzzxzxz
yzyyyxy
xzxyxxx
EQUATION SUMMARY - 3D, viscous, variable density, unsteady