Jet Fuel Characteristics

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Performance Engineer OperationsFlight Operations Engineering

    Dave Lawicki

    Performance Engineer OperationsFlight Operations Engineering

    Dave Lawicki

    May 2002May 2002

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Why this Subject?Why this Subject?

    Provide a brief introduction to aviation fuel

    definitions and characteristics Familiarize you with terminology and industry

    jargon

    Address operational concerns related to fuel Inform you of research work and possible future

    fuels

    Exchange some insight into the Energy of Flight

    Provide a brief introduction to aviation fuel

    definitions and characteristics Familiarize you with terminology and industry

    jargon

    Address operational concerns related to fuel Inform you of research work and possible future

    fuels

    Exchange some insight into the Energy of Flight

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    TopicsTopics

    Oil Distillation

    Types of Aviation Fuel Specifications

    Composition of Fuel Fuel Properties

    Non-Normal Situations

    Alternative Fuels

    Oil Distillation

    Types of Aviation Fuel Specifications

    Composition of Fuel

    Fuel Properties

    Non-Normal Situations

    Alternative Fuels

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Distillation of Crude OilDistillation of Crude Oil

    Diesel fuelDiesel fuel

    CokeCokeSulfur Sulfur Bunker oilBunker oil

    LPGLPG

    Jet fuel (about 5 U.S. gallons)Jet fuel (about 5 U.S. gallons)

    Co-generationCo-generation

    GasolineGasoline

    1 Barrel of Crude = 42 U.S. gallons1 Barrel of Crude = 42 U.S. gallons

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Types of Aviation FuelTypes of Aviation Fuel

    Aviation Gasoline - AvGas

    Turbine Fuels

    Aviation Gasoline - AvGas

    Turbine Fuels

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Aviation Gasoline (AvGas)Aviation Gasoline (AvGas)

    Reciprocating Engines Only

    Rated by Octane - 80/87, 100/130,115/145 - Red, Blue, Purple

    Commercial Specification -ASTM D 910

    Reciprocating Engines Only

    Rated by Octane - 80/87, 100/130,115/145 - Red, Blue, Purple

    Commercial Specification -ASTM D 910

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Turbine FuelsTurbine Fuels

    Jet A Kerosene Type,freeze point -40C (U.S.domestic only)

    Jet A-1 Kerosene Type,freeze point -47C

    Jet B Wide Cut, freeze

    point -50C

    Jet A Kerosene Type,freeze point -40C (U.S.domestic only)

    Jet A-1 Kerosene Type,freeze point -47C

    Jet B Wide Cut, freezepoint -50C

    Commercial GradesCommercial Grades

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Jet Fuel CharacteristicsJet Fuel Characteristics

    JP-4 Wide Cut, similar to Jet B JP-5 Higher flash point for carrier

    operations

    JP-7 Thermally Stable for SR-71higher temperatures

    JP-8 Kerosene Type, similar to

    Jet A-1 JP-9 Missile fuel (higher energy

    per unit volume)

    JP-4 Wide Cut, similar to Jet B

    JP-5 Higher flash point for carrieroperations

    JP-7 Thermally Stable for SR-71higher temperatures

    JP-8 Kerosene Type, similar to

    Jet A-1 JP-9 Missile fuel (higher energy

    per unit volume)

    Military Grades (U.S.)Military Grades (U.S.)

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Commercial Turbine FuelCommercial Turbine Fuel

    Industry/Governmentspecifications

    American Society forTesting and Materials(ASTM)

    Industry/Governmentspecifications

    American Society forTesting and Materials(ASTM)

    ASTM D1655 Jet A, Jet A-1, Jet BASTM D1655 Jet A, Jet A-1, Jet B

    SpecificationsSpecifications

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Commercial Turbine FuelCommercial Turbine FuelSpecificationsSpecifications

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Commercial Turbine FuelCommercial Turbine Fuel

    International Air TransportAssociation (IATA guidance material)IATA ADD76-1 Kerosene Types andWide Cut

    Aviation Fuel Quality Requirementsfor Jointly Operated Systems(AFQRJOS) Check List, Jet A-1, Jet B(non-U.S.)

    International Air TransportAssociation (IATA guidance material)IATA ADD76-1 Kerosene Types andWide Cut

    Aviation Fuel Quality Requirementsfor Jointly Operated Systems(AFQRJOS) Check List, Jet A-1, Jet B(non-U.S.)

    Specifications (cont.)Specifications (cont.)

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    British - DERD.2494 (AVTUR) Canadian - CAN/CGSB 3.23-M86

    French - AIR 3405/C

    Russian - GOST 10227-86 T-1, TS-1(TS-1 freeze point -50 to -60C)

    Romanian - 3754/73, CS-3, STAS 5639

    British - DERD.2494 (AVTUR) Canadian - CAN/CGSB 3.23-M86

    French - AIR 3405/C

    Russian - GOST 10227-86 T-1, TS-1(TS-1 freeze point -50 to -60C)

    Romanian - 3754/73, CS-3, STAS 5639

    Kerosene TypesKerosene TypesJet A-1 SpecificationsJet A-1 Specifications

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Wide CutWide Cut

    British - DERD.2486 (AVTUR)

    Canadian - CAN/CGSB 3.22-M86

    French - AIR 3407/B

    Russian - GOST 10227-86, T-2 German - TL 9130-006 Issue 6

    British - DERD.2486 (AVTUR)

    Canadian - CAN/CGSB 3.22-M86

    French - AIR 3407/B

    Russian - GOST 10227-86, T-2 German - TL 9130-006 Issue 6

    Jet B SpecificationsJet B Specifications

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Engine ManufacturesEngine Manufactures

    General Electric - SpecificationNo. D50TF2

    Pratt & Whitney - Service BulletinNo. 2016

    Rolls-Royce - Appendix 2 to EngineOperating Manual

    FAA/JAA Approved Airplane FlightManual

    General Electric - SpecificationNo. D50TF2

    Pratt & Whitney - Service BulletinNo. 2016

    Rolls-Royce - Appendix 2 to EngineOperating Manual

    FAA/JAA Approved Airplane FlightManual

    SpecificationsSpecifications

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Airplane Flight ManualAirplane Flight Manual

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Airplane Flight ManualAirplane Flight Manual

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Airplane Flight ManualAirplane Flight Manual

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Airplane Flight ManualAirplane Flight Manual

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Turbine Fuel CompositionTurbine Fuel Composition

    Four groups of Hydrocarbons in Jet Fuel:Four groups of Hydrocarbons in Jet Fuel:

    HH

    HH HH HH HH HH

    HHCC CC CC CC CC

    HH HH HH HH HH

    Paraffins, Isoparaffins, Cycloparaffins Paraffins, Isoparaffins, Cycloparaffins

    Aromatics Aromatics

    Naphthalenes Naphthalenes

    Olefins Olefins

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Other Fuel ConstituentsOther Fuel Constituents

    Sulfur - corrosion and emissions

    Gums - filter clogging andsticky valves

    Water - corrosion and filter clogging

    Naphthenic Acid - corrosion

    Sulfur - corrosion and emissions

    Gums - filter clogging andsticky valves

    Water - corrosion and filter clogging

    Naphthenic Acid - corrosion

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Fuel AdditivesFuel Additives

    Approved Additives only

    Antioxidents Metal Deactivators

    Fuel System Icing Inhibitors

    Corrosion Inhibitors

    Static Dissipators

    Approved Additives only

    Antioxidents Metal Deactivators

    Fuel System Icing Inhibitors

    Corrosion Inhibitors

    Static Dissipators

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Turbine Fuel PropertiesTurbine Fuel Properties

    Density (Specific Gravity SG)

    Lower Heating Value (LHV)

    Viscosity

    Lubricity

    Low Temperature

    Volatility

    Electrical

    Bulk modulus

    Thermal Oxidation Stability

    Material Compatibility

    Toxicity

    Density (Specific Gravity SG)

    Lower Heating Value (LHV)

    Viscosity

    Lubricity

    Low Temperature

    Volatility

    Electrical

    Bulk modulus

    Thermal Oxidation Stability

    Material Compatibility

    Toxicity

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Density, Specific GravityDensity, Specific Gravity

    Density = Mass/Volume

    Specific Gravity (SG) also known as RelativeDensity

    Typical Jet A, Jet A-1: SG = 0.815

    Typical Jet B: SG = 0.764 Varies with temperature API = (141.5/SG) - 131.5 SG measured with hydrometer per

    ASTM D1298 Airplane Densitometers

    Density = Mass/Volume

    Specific Gravity (SG) also known as RelativeDensity

    Typical Jet A, Jet A-1: SG = 0.815

    Typical Jet B: SG = 0.764 Varies with temperature API = (141.5/SG) - 131.5

    SG measured with hydrometer per ASTM D1298

    Airplane Densitometers

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Lower Heating Value (LHV)Lower Heating Value (LHV)

    LHV = Net Heat of Combustion (BTU/lb)

    Jet A: 18,484 - 18,645 (ave. 18564) Density relationship to LHV

    Performance analysis based on18,580 BTU/lb

    Boeing Airplane Performance Monitoringprogram (APM) input

    LHV = Net Heat of Combustion (BTU/lb)

    Jet A: 18,484 - 18,645 (ave. 18564) Density relationship to LHV

    Performance analysis based on18,580 BTU/lb

    Boeing Airplane Performance Monitoringprogram (APM) input

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    APM Program DocumentationAPM Program Documentation Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Fuel Lower Heating Value EstimationFuel Lower Heating Value Estimation Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    ViscosityViscosity

    Fuel line pressure drop and

    pumping capabilities Low temperatures increase

    viscosity

    Measuring units areCentistokes (mm /sec)

    Fuel line pressure drop and

    pumping capabilities Low temperatures increase

    viscosity

    Measuring units areCentistokes (mm /sec)

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Fuel LubricityFuel Lubricity

    Controls, valves, bearing, pumps

    Low viscosity preventshydrodynamic film

    Absorbs into surface - Boundarylayer lubricants

    Refining removes lubricants(thermally stable fuels, SR-71)

    Corrosion inhibitors augment Lubricity

    Controls, valves, bearing, pumps

    Low viscosity preventshydrodynamic film

    Absorbs into surface - Boundarylayer lubricants

    Refining removes lubricants(thermally stable fuels, SR-71)

    Corrosion inhibitors augment Lubricity

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Low Temperature PropertiesLow Temperature Properties

    Freeze Point (wax crystals disappear)

    Pour Point (1.5 inch cylinder test)(4C to 20C below Freeze Point)

    Cloud Point (haze forms)

    Fuel will not flow when indicatedtemperature is below pour point

    Fuel starts to solidify when recoverytemperature is below pour point

    Operational Considerations

    Freeze Point (wax crystals disappear)

    Pour Point (1.5 inch cylinder test)(4C to 20C below Freeze Point)

    Cloud Point (haze forms)

    Fuel will not flow when indicatedtemperature is below pour point

    Fuel starts to solidify when recoverytemperature is below pour point

    Operational Considerations

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Operational ConsiderationsOperational Considerations

    Pilots must maintain fuel temperature at least 3Cabove fuel freeze point

    Low temperature operations is a concern for fueltransfer, boost pump inlets and in fuel lines

    The rate at which the fuel temperature declines is

    a function of air temperature, airplane geometry,fuel management schedule and time

    Fuel temperature will approach the recovery

    temperature Recovery Temperature is slightly lower than TAT

    TAT and Recovery Temperature are a function ofambient air temperature and Mach

    Pilots must maintain fuel temperature at least 3Cabove fuel freeze point

    Low temperature operations is a concern for fueltransfer, boost pump inlets and in fuel lines

    The rate at which the fuel temperature declines is

    a function of air temperature, airplane geometry,fuel management schedule and time

    Fuel temperature will approach the recovery

    temperature Recovery Temperature is slightly lower than TAT

    TAT and Recovery Temperature are a function ofambient air temperature and Mach

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Lowest Fuel TemperaturesLowest Fuel Temperatures

    F u e

    l T e m p e

    r a t u r e

    C

    Initial fuel temperature = +5C

    Jet A Freeze Point

    Minimum Recovery Temperature

    Jet A-1 Freeze Point

    Range-Nautical Miles

    Initial fuel temperature = -18C

    74710

    0

    -10

    -20

    -30

    -40

    -50

    -60

    0 500 1,000 1,500 2,000 2,500 3,000 3,500 4,000 4,500 5,000

    C A L C

    C H E

    C K

    A P R

    A P R

    F U E

    C A P Y

    R E V I S E D

    D A T E

    D 6 - 4 2 3 8 6

    F I G . 3 5

    P A

    G E 1 3 A

    L O WE

    S T F

    U E L T E M P E R A

    T U R E

    S I N

    O U T B

    O A R D M A I N T A N K

    S O F 7 4 7 A

    S A

    F U N

    C T I O N

    O F R A N

    G E

    T H E B

    O E I N

    G C O M P

    A N Y

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Increasing use of Polar RoutesIncreasing use of Polar Routes Fuel PropertiesFuel Properties

    Hong Kong

    Chicago

    UnitedStates

    Canada

    Russia

    Mongolia

    China ArcticOcean

    PacificOcean

    Japan

    777 Demonstration Flight:15 hours 22 minutes total flight timeAt 10 hours into the flight, OAT = -64C, TAT = -35C,Recovery Temp = -38C. The lowest fuel temperature was-32C at 11 hours into the flight.

    777 Demonstration Flight:15 hours 22 minutes total flight timeAt 10 hours into the flight, OAT = -64C, TAT = -35C,Recovery Temp = -38C. The lowest fuel temperature was-32C at 11 hours into the flight.

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Actual Fuel vs. SpecificationActual Fuel vs. Specification

    Specification: Jet A -40C, Jet A-1 -47C,Jet B -50C

    Freeze Point of actual fuel varies from day-to-dayand airport-to-airport

    Actual delivered fuel might have freeze point asmuch as 40% better than specification

    Pilot must observe specification value unless testresults are known

    Specification: Jet A -40C, Jet A-1 -47C,Jet B -50C

    Freeze Point of actual fuel varies from day-to-dayand airport-to-airport

    Actual delivered fuel might have freeze point asmuch as 40% better than specification

    Pilot must observe specification value unless testresults are known

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Operational Response to Cold FuelOperational Response to Cold Fuel

    Increase Mach (.01 Mach is 0.5C)

    Divert around cold air mass

    Descend to lower (warmer) altitude(extreme cases may require 25,000 ft at .85 Mach)

    Dispatch with known fuel freeze point

    Increase Mach (.01 Mach is 0.5C)

    Divert around cold air mass

    Descend to lower (warmer) altitude(extreme cases may require 25,000 ft at .85 Mach)

    Dispatch with known fuel freeze point

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Cold Fuel Flow ResearchCold Fuel Flow Research Fuel PropertiesFuel Properties

    Bay 1Bay 2

    Thermocouplerake

    Thermocouple

    rakes

    Boost pumpinlet

    Flapper valves

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    0

    35

    -100 -80 -60 -40 -20 0

    90 min450 min 2 min

    Temperature ( o F)

    Low-convection,mushy zone

    Bulk tank temperature(airplane probe)

    H e i g h

    t a b o v e t a

    n k b o t

    t o m

    ( i n c h

    e s )

    Fuel pour point

    102 < q total < 103 W/m 2

    with

    20 W/m2

    latentheat release

    qtotal 30 W/m 2

    Fuel PropertiesFuel PropertiesCold Fuel Flow ResearchCold Fuel Flow Research

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Cold Fuel SummaryCold Fuel Summary

    Fuel Tank tests at cold temperatures

    Computer Models of tank cooling - FuelTemperature Prediction Program (FTPP)

    IATA is reviewing ASTM/GOST testing procedures

    Fuel additives being considered

    Fuel Freeze points are being monitored in U.S.

    IATA team to audit fuel quality around the world Future system to monitor fuel freeze points at

    airports on-line, real time. (Phase Technology)

    Fuel Tank tests at cold temperatures

    Computer Models of tank cooling - FuelTemperature Prediction Program (FTPP)

    IATA is reviewing ASTM/GOST testing procedures

    Fuel additives being considered

    Fuel Freeze points are being monitored in U.S.

    IATA team to audit fuel quality around the world Future system to monitor fuel freeze points at

    airports on-line, real time. (Phase Technology)

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    VolatilityVolatility

    Tendency to change from liquid

    to vapor Reid vapor pressure

    Relative to Jet A-1 at 60F:

    Jet B vapor pressureis 1,750% higher

    AvGas vapor pressureis 4,600% higher

    Tendency to change from liquid

    to vapor Reid vapor pressure

    Relative to Jet A-1 at 60F:

    Jet B vapor pressureis 1,750% higher

    AvGas vapor pressureis 4,600% higher

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    ElectricalElectrical

    Dielectric constant

    (fuel quantity) Electrical Conductivity

    Dielectric constant

    (fuel quantity) Electrical Conductivity

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Flammability and IgnitionFlammability and Ignition

    Flammabilityvs. Altitude

    Flash Point

    Flammabilityvs. Altitude

    Flash Point

    CharacteristicsCharacteristics

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Bulk ModulusBulk Modulus

    Fuel is used as hydraulic fluid in

    servo valves Jet A-1: 193 kpsi

    Airplane hydraulic fluid (Skydrol):210 kpsi

    Fuel is used as hydraulic fluid in

    servo valves Jet A-1: 193 kpsi

    Airplane hydraulic fluid (Skydrol):

    210 kpsi

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Thermal Oxidation StabilityThermal Oxidation Stability

    Gums and Deposits

    Fuel additives to reduce thermaldegradation(thermally stable fuels only, SR-71)

    Commercial grades controlledby specification

    Gums and Deposits

    Fuel additives to reduce thermaldegradation(thermally stable fuels only, SR-71)

    Commercial grades controlledby specification

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Material CompatibilityMaterial Compatibility

    Metals

    Satisfactory Aluminum and alloys Carbon steels

    Stainless steels

    Unsatisfactory

    Bronze Nickel Copper

    Zinc Cadmium

    Metals

    Satisfactory Aluminum and alloys Carbon steels

    Stainless steels

    Unsatisfactory

    Bronze Nickel Copper

    Zinc Cadmium

    Packing and gaskets Satisfactory

    Nylon Polyethylene

    Packing and gaskets Satisfactory

    Nylon Polyethylene

    Unsatisfactory Fluorothene

    Vinylite

    Teflon

    Unsatisfactory Fluorothene

    Vinylite

    Teflon

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    ToxicityToxicity

    Not highly toxic

    Handle with Care

    Not highly toxic

    Handle with Care

    Fuel PropertiesFuel Properties

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Non-Normal SituationsMixing of FuelsNon-Normal SituationsMixing of Fuels

    Jet A and Jet B - Ok, increased

    volatility Mixing Jet A and Jet A-1 raises

    freeze point significantly towards

    that of Jet A AvGas - Vapor pressure, boil off,

    cavitation, fueling dangers, hot

    section deposits, lubrication Diesel/heating oils - Cold flow,

    viscosity, freeze point

    Jet A and Jet B - Ok, increased

    volatility Mixing Jet A and Jet A-1 raises

    freeze point significantly towards

    that of Jet A AvGas - Vapor pressure, boil off,

    cavitation, fueling dangers, hot

    section deposits, lubrication Diesel/heating oils - Cold flow,

    viscosity, freeze point

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Airplane FuelsNet Heat of CombustionAirplane FuelsNet Heat of Combustion

    44.644.6

    44.444.4

    44.244.2

    44.044.0

    43.843.8

    43.643.6

    43.443.4

    43.043.0

    42.842.8

    42.642.6

    42.442.4

    42.242.2

    42.042.0

    N e

    t H e a

    t , M J

    / k g

    N e

    t H e a

    t , M J / k g

    Av. GasAv. Gas Jet A,Jet A-1Jet A,

    Jet A-1JP-5JP-5 JP-7JP-7 Thermally StableThermally StableJet B,

    JP-4Jet B,JP-4

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Airplane FuelsVapor PressureAirplane FuelsVapor Pressure

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Future FuelsFuture Fuels

    Hydrogen

    Methane Synthetic Fuels

    (about 4 times more

    expensive)

    Hydrogen

    Methane Synthetic Fuels

    (about 4 times more

    expensive)

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    When The Tank Runs Dry...When The Tank Runs Dry...Alternative FuelsAlternative Fuels

    00 66 1212 1818 2424 3030 3636 4242 4848

    A pound of hydrogen has almost three times the energy of a poundof conventional fuel.A pound of hydrogen has almost three times the energy of a poundof conventional fuel.

    Liquid hydrogen

    Liquid methane

    Jet fuel

    Thousands of BTUsper poundThousands of BTUsper pound

    l h

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Questions?Questions?

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    J F l Ch i iJet Fuel Characteristics

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    Jet Fuel CharacteristicsJet Fuel Characteristics

    Fuel Energy Content Versus Fuel Density (continued)

    correction for density and LHV should be made. The LHVcorrection is difficult since The LHV for the particular fuel loadcan only be determined after the flight by laboratory analysis. Itmay be possible, however, to combine density and energyeffects into a single correction, based on Figure 1 variation,which could be referenced to density only. However, this may beunnecessarily complicated, particularly since the fuel density of

    the destination airport is probably unknown. Our generalrecommendation on tankering fuel is that this should not be doneunless the price advantage is really significant. This would allowfor unknowns such as wear and tear on airframe, wheels, tires,engines, etc.., and for fuel density and energy content variations.