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    MIT OpenCourseWarehttp://ocw.mit.edu

    2.61 Internal Combustion EnginesSpring 2008

    For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

    http://ocw.mit.edu/http://ocw.mit.edu/termshttp://ocw.mit.edu/termshttp://ocw.mit.edu/
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    2.61 Internal Combustion Engines Lecture 1

    Engines

    -There are two types of engines:1. Internal combustion - combustion occurs in the working fluid

    - open cycle the working fluid is replenished in each cycle- ie) exhaust gas is dumped into the atmosphere

    2. External combustion use of heat exchanger to transfer energy to theworking fluid

    - Open or closed cycle

    - Ex) steam engine, sterling engine

    History

    1860 Lenoir engine- air and fuel were hand pumped-spark, or ignition was a candle / kerosene lamp done all by hand- operated at about 10 RPM

    - 500 sold- 2 stroke-ignition occurs while still in the expansion stage

    limited expansion ratiolow efficiency (

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    Other Developments

    1870 Petroleum industry1888 Pneumatic tires1905 Spark plugs (Champion)1920 Internal Combustion Engine (ICE) takes over steam engine for transportation

    - main advantage dont need to carry around water1920-1960 steady development1960 Emission standards start

    Heagen Smith smog mechanism1970 Fuel crisis

    1980 Global competition1990 Greenhouse gases2000 Fuel and CO2

    4 stroke engine

    intake exhaustcompression(work in)

    expansion(work out)

    2 Stroke engine

    pressurizedintake

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    Engine Size-Piston bore ranges from 1 cm to 1m (large diesels)

    -heat loss and friction are surface phenomenon

    bigger engine, less losses

    Engine GeometryCrank radius aConnecting rod length l

    Displacement volume - lB

    Vd4

    2

    =

    Compression ratio (geometric) -c

    CDR

    VVVC

    +=

    Piston position - 222 sincos)( alas ++=

    Instantaneous volume - SB

    VV C4

    )(2

    +=

    [ ]5.022 )sin(cos1)1(2

    11 ++= RRC

    V

    VR

    C

    Piston velocity

    a

    Rs

    =

    5.022

    2

    )sin(2

    sinsin)(

    where and N=RPMN 2=

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    Pressures normally aspirated 4 stroke SI

    Heat release normally aspirated 4 stroke SI

    Pressure - normally aspirated 4-stroke Diesel

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    MIT OpenCourseWarehttp://ocw.mit.edu

    2.61 Internal Combustion EnginesSpring 2008

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    Lecture 9

    SI Engine Combustion

    Movie of SI engine combustion

    The spark discharge

    The SI combustion flame propagation process

    Heat release phasing

    Heat release analysis from pressure data

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    Square piston flow visualization engine

    Bore 82.6 mm

    Stroke 114.3 mmCompression ratio 5.8

    Operating condit ion

    Speed 1400 rpm

    0.9

    Fuel propane

    Intake pressure 0.5 bar

    Spark timing MBT

    Fig. 3.1 in Constanzo, Vincent M. A Visualization Study ofMixture Preparation Mechanisms for Port Fuel Injected

    Spark Ignition Engines. Masters Thesis, MIT. June 2004.

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    Flame Propagation (Fig 9-14)

    1400 rpm

    0.5 bar inlet pressure

    Image removed due to copyright restrictions. Please see Fig. 9-14 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Burn duration

    Burn duration as CA-deg. : measure of burn progressin cycle

    For modern fast-burn engines under medium speed,

    part load condition: 0-10% ~ 15

    o

    0-50% ~ 25o

    0-90% ~ 35o

    As engine speed increases,burn duration as CA-deg. :

    Increases because there is less time per CA-deg. Decreases because combustion is faster due to

    higher turbulence

    Net effect: increases approximately as rpm0.2

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    Spark dischargecharacteristics

    Fig.9-39

    Schematic of voltage and

    current variation with

    time for conventional coil

    spark-ignit ion system.

    Image removed due to copyright restrictions. Please see Fig. 9-39 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Flame Kernel Development (SAE Paper 880518)

    Single cycle flame sequenceFlame from 4 consecutive cycles at f ixed

    time after spark

    =1,spk= 40oBTC,

    1400 rpm, vol. eff. = 0.29

    Image removed due to copyright restrictions. Please see Pischinger, Stefan, and John B.

    Heywood. A Study of Flame Development and Engine Performance with Breakdown

    Ignition Systems in a Visualization Engine.Journal of Engines 97 (February 1988): 880518.

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    Energy associated

    with Spark Discharge,Combustion and Heat

    Loss

    SAE Paper 880518

    Image removed due to copyright restrictions. Please see Pischinger, Stefan, and John B.

    Heywood. A Study of Flame Development and Engine Performance with Breakdown

    Ignition Systems in a Visualization Engine.Journal of Engines 97 (February 1988): 880518.

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    Schematic of SI engine flame propagation

    Fig. 9-4 Schematic of flame propagation in SI engine: unburned gas (U) to left of

    flame, burned gas to right. A denotes adiabatic burned-gas core, BL denotesthermal boundary layer in burned gas.

    Heat transfer

    Work

    transfer

    Image removed due to copyright restrictions. Please see Fig. 9-4 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Combustion produced pressure riseFlame

    ub

    ub

    m m

    Flame

    time t time t + t

    1. Pressure is uniform, changing with time

    2. For mass m: hb = hu (because dm is allowed to expand against

    prevailing pressure)

    3. T rise is a function of fuel heating value and mixture composition e.g. at = 1, Tu ~ 700 K, Tb ~ 2800 K

    4. Hence burned gas expands: b ~ u ; Vb ~ 4 Vu

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    Combustion produced pressure rise5. Since total volume is constrained. The pressure must

    rise by p, and all the gas in the cylinder is compressed.

    6. Both the unburned gas ahead of flame and burned gas

    behind the flame move away from the flame front

    7. Both the unburned gas and burned gas temperatures

    rise due to the compression by the newly burned gas

    8. Unburned gas state: since heat transfer is relatively

    small, the temperature is related to pressure byisentropic relationship

    Tu/Tu,0 = (p/p0)(

    u-1)/

    u

    9. Burned gas state:

    u

    Flame

    Early burned gas,higher Tb

    Later burned gas,

    lower Tb

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    Thermodynamic

    state of charge

    Fig. 9-5 Cylinder pressure,

    mass fraction burned, and

    gas temperatures as

    function of crank angle

    during combustion.

    Image removed due to copyright restrictions. Please see Fig. 9-5 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Optimum Combustion Phasing

    Heat release schedule has to phase correctly withpiston motion for optimal work extraction

    In SI engines, combustion phasing controlled by spark

    Spark too late heat release occurs far into expansion and workcannot be fully extracted

    Spark too early Effectively lowers compression ratio increased heat transfer losses Also likely to cause knock

    Optimal: Maximum Brake Torque (MBT) timing MBT spark timing depends on speed, load, EGR, ,temperature, charge motion,

    Torque curve relatively flat: roughly 5 to 7oCA retard

    from MBT results in 1% loss in torque

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    Spark timing effects

    Fig. 9-3 (a) Cylinder pressure versus crank angle for overadvanced spark timing

    (50o

    BTDC), MBT timing (30o

    BTDC), and retarded t iming (10o

    BTDC). (b) Effectof spark advance on brake torque at constant speed and A/F, at WOT

    Image removed due to copyright restrictions. Please see Fig. 9-3 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Control of spark timing

    WOT

    Fig. 15-3

    Fig. 15-17

    Images removed due to copyright restrictions. Please see Fig. 15-3 and 15-17 in Heywood,

    John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Obtaining combustion information from engine

    cylinder pressure data

    1. Cylinder pressure affected by:

    a) Cylinder volume change

    b) Fuel chemical energy release by combustion

    c) Heat transfer to chamber wallsd) Crevice effects

    e) Gas leakage

    2. Obtaining accurate combustion rate information requiresa) Accurate pressure data (and crank angle indexing)

    b) Models for phenomena a,c,d,e, above

    c) Model for thermodynamic properties of cylinder contents

    3. Available methods

    a) Empirical methods (e.g. Rassweiler and Withrow SAE800131)

    b) Single-zone heat release or burn-rate modelc) Two-zone (burned/unburned) combustion model

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    Typical

    piezoelectricpressure

    transducer spec.

    Kistler 6125

    6.2mm

    Image and data table removed due to copyright restrictions. Please see

    http://www.intertechnology.com/Kistler/pdfs/Pressure_Model_6125B.pdf

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    Sensitivity of NIMEP to crank angle phase error

    SI engine;1500 rpm, 0.38 bar intake pressure

    -15

    -10

    -5

    0

    5

    10

    15

    -3 -2 -1 0 1 2 3

    Crank angle phase error (deg)

    Percent error in NIMEP

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    Simple heat release analysis

    Single zone, perfect gas, idealized model

    Other effects:

    Crevice effect

    Blowby

    Real gas properties

    Non-uniformities (significant difference between burned and

    unburned gas) Unknown residual fraction

    v gross ht loss

    v

    gross

    b

    f

    gross ht loss

    1Q

    d(mc T) Q Q pV

    d

    PVmc T1

    whence

    Mass fraction burned:

    pV

    Qx

    m L

    pV Q1

    HV

    1

    = + +

    =

    =

    =

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    Cylinder pressure

    Fig. 9-10 (a) Pressure-volume diagram; (b) log p-log(V/Vmax) plot; 1500 rpm,MBT timing, IMEP = 5.1 bar, = 0.8, rc = 8.7, propane fuel.

    Image removed due to copyright restrictions. Please see Fig. 9-10 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Ad i l

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    Burned mass analysis Rassweiler and Winthrow

    (SAE 800131)

    0

    f

    u b

    1/ nu,0 u

    1/ nb,f b

    u,0 b,f

    b 0 f

    During combustion v = v v

    Unburned gas volume, back tracked

    to spark (0)

    V V (p /p )

    Burned gas volume, forward tracked

    to end of combustion (f)

    V V (p /p )

    Mass fraction bunred

    V Vx 1

    V V

    +

    =

    =

    = =

    1/n 1/n0 0

    b

    1/n 1/nf f 0 0

    Hence, after some algebra

    p V p Vx

    p V p V

    =

    Advantage: simple

    Need only p(), p0, pfand n

    xb

    always between 0 and 1

    Image removed due to copyright restrictions. Please see Rassweiler, Gerald M., and

    Lloyd Withrow. Motion Pictures of Engine Flames Correlated with Pressure Cards.

    SAE Transactions 33 (1938): 185-204. Reprinted as SAE Technical Paper 800131.

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    Results of heat-release analysis

    Fig. 9-12 Results of heat-release analysis showing the effects of heat

    transfer, crevices and combustion inefficiency.

    Pintake

    Image removed due to copyright restrictions. Please see Fig. 9-12 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    2.61 Internal Combustion EnginesSpring 2008

    For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

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    Lecture 10

    SI Combustion (continue)

    SI Engine Knock

    Entrainment-and-Burn Model for SI engine combustion

    Cycle-to-cycle fluctuation of SI engine heat release

    SI engine knock

    Spark knock and surface ignition

    Spark knock mechanism

    Knock chemistry and fuel effects

    Knock control

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    Model of turbulent combustion

    Fig. 14-12

    Schematic of entrainment-and-burn model

    Image removed due to copyright restrictions. Please see Fig. 14-2 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    SI engine flame propagation

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    SI engine flame propagation

    Entrainment-and-burn model

    Rate of entrainment:

    Rate at which mixture burns:

    = + b

    t /e

    u f L u f T

    dmA S A u (1 e )

    dt

    Laminar diffusion

    through flame front

    Turbulent entrainment

    L

    Tb

    b

    beLfu

    b

    S;

    mmSA

    dt

    dm =

    +=

    Laminar frontal burning Conversion of entrained mass

    into burned mass

    Critical parameters: uT and T

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    Cycle-to-cycle variations

    Crank angle (oATDC) Crank angle (oATDC)

    Fig. 9-31

    Measured cylinder pressure and calculated gross heat-release rate for ten

    cycles in a single-cylinder SI engine operating at 1500 rpm, = 1.0, MAP = 0.7

    bar, MBT timing 25

    o

    BTC

    Image removed due to copyright restrictions. Please see Fig. 9-31 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    C l t l h i b ti h i

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    Cycle-to-cycle change in combustion phasing

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    SI ENGINE CYCLE-TO-CYCLE VARIATIONS

    Phases of combustion1. Early flame development

    2. Flame propagation

    3. Late stage of burning

    Factors affecting SI engine cycle-to-cycle variations:

    (a) Spark energy deposition in gas (1)

    (b) Flame kernel motion (1)(c) Heat losses from kernel to spark plug (1)

    (d) Local turbulence characteristics near plug (1)

    (e) Local mixture composition near plug (1)(f) Overall charge components - air, fuel, residual (2, 3)

    (g) Average turbulence in the combustion chamber (2, 3)

    (h) Large scale features of the in-cylinder flow (3)

    (i) Flame geometry interaction with the combustion chamber (3)

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    Cycle distributions

    Charge variations

    Charge andcombustion

    phasing

    variation

    Very Slow-burn cycles Partial burn substantial combustion

    inefficiency (10-70%)

    Misfire significant combustioninefficiency (>70%)

    (No definitive value for threshold)

    Fig,. 9-33 (b)

    Fig,. 9-36 (b)

    Images removed due to copyright restrictions. Please see Fig. 9-33b and 9-36b in Heywood,

    John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    MIT OpenCourseWarehttp://ocw.mit.edu

    2.61 Internal Combustion EnginesSpring 2008

    For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

    http://ocw.mit.edu/http://ocw.mit.edu/termshttp://ocw.mit.edu/termshttp://ocw.mit.edu/
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    Auto-ignition and knock

    1. Knock and surface ignition

    2. Knock fundamentals

    3. Fuel factor

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    Abnormal Combustion:

    Knock and surface-Ignition

    Image removed due to copyright restrictions. Please see: Fig. 9-58 in Heywood, John B. Internal CombustionEngine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    SI Engine Knock

    1.

    Knock is most critical at WOT and at low speed because of itspersistence and potential for damage.Part-throttle knock is atransient phenomenon and is a nuisance to the driver.

    2.

    Whether or not knock occurs depends on engine/fuel/vehiclefactors and ambient conditions (temperature, humidity). Thismakes it a complex phenomenon.

    3.

    To avoid knock with gasoline, the engine compression ratio islimited to approximately 12.5 in PFI engines and 13.5 in DISIengines. Significant efficiency gains are possible if thecompression ratio could be raised. (Approximately, increasing

    CR by 1 increases efficiency by one percentage point.)

    4.

    Feedback control of spark timing using a knock sensor isincreasingly used so that SI engine can operate close to itsknock limit.

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    Knock damaged pistons

    Images removed due to copyright restrictions. Please see p. 6 in "The Internal Combustion: Modeling Considers All Factors."Lawrence Livermore National Lab, December 1999.

    Also see any other photos of knock damage to pistons, such as: http://cameronassociates.org.uk/assets/images/autogen/a_Piston_Damage.jpg

    From Lichty, Internal Combustion Engines From Lawrence Livermore website

    https://www.llnl.gov/str/pdfs/12_99.1.pdfhttps://www.llnl.gov/str/pdfs/12_99.1.pdfhttp://cameronassociates.org.uk/assets/images/autogen/a_Piston_Damage.jpghttp://cameronassociates.org.uk/assets/images/autogen/a_Piston_Damage.jpghttp://cameronassociates.org.uk/assets/images/autogen/a_Piston_Damage.jpghttp://cameronassociates.org.uk/assets/images/autogen/a_Piston_Damage.jpghttps://www.llnl.gov/str/pdfs/12_99.1.pdf
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    End Gas Geometry, Knock, and Pressure Signal(SAE 960827,Stiebels, Schreiber, and Sakak)

    Images (12 sapart) of flame

    luminescence

    and pressuretrace; RON= 90,

    2400 rpm, ign. at

    35o BTC; white

    circle indicating

    first autoignition

    Images removed due to copyright restrictions. Please see Stiebels, B., et al. "Development of a New Measurement Technique for theInvestigation of End-gas Autoignition and Engine Knock." SAE Transactions105 (February 1996): 960827.

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    Knock Fundamentals

    Knock originates in the extremely rapid release of much of the fuel

    chemical energy contained in the end-gas of the propagating

    turbulent flame, resulting in high local pressures. The non-

    uniform pressure distribution causes strong pressure waves or

    shock waves to propagate across and excites the acoustic modes

    of the combustion chamber.

    When the fuel-air mixture in the end-gas region is compressed to

    sufficiently high pressures and temperatures, the fuel oxidation

    processstarting with the pre-flame chemistry and ending with

    rapid heat releasecan occur spontaneously in parts or all of the

    end-gas region.

    Most evidence indicates that knock originates with the auto-

    ignition of one or more local regions within the end-gas.

    Additional regions then ignite until the end-gas is essentially fully

    reacted. The sequence of processes occur extremely rapidly.

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    Knock chemical mechanism

    CHAIN BRANCHING EXPLOSION

    Chemical reactions lead to increasing number of radicals,

    which leads to rapidly increasing reaction rates

    Formation of Branching AgentsChain Initiation

    RO

    2 +

    RH

    ROOH +

    R

    RH +

    O2 R+HO2RO2 RCHO +RO

    Chain PropagationDegenerateBranching

    R+O2 RO2, etc. ROOH

    RO+

    OH

    RCHO +

    O2 RCO +

    HO2

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    FUEL FACTORS

    The auto-ignition process depends on the fuelchemistry.

    Practical fuels are blends of a large numberof individual hydrocarbon compounds, each

    of which has its own chemical behavior.

    A practical measure of a fuels resistance to

    knock is the octane number. High octanenumber fuels are more resistant to knock.

    Types of hydrocarbons(See text section 3.3)

    NAPHTHENES

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    PARAFFINS

    Butane

    Cyclohexane Cyclopentane

    OLEFINS

    AROMATICS

    ISOMERS

    Benzene

    Cis-2-Butane

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    Knock tendency of

    individualhydrocarbons

    Image removed due to copyright restrictions. Please see: Fig. 9-69 in

    Heywood, John B. Internal Combustion Engine Fundamentals.

    New York, NY: McGraw-Hill, 1988.

    Fig 9-69

    Critical compression ratio for

    incipient knock at 600 rpm and

    450 K coolant temperature for

    hydrocarbons

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    Fuel anti-knock rating(See table 9.6 for details)

    Blend primary reference fuels (iso-octane and normal heptane) so

    its knock characteristics matches those of the actual fuel.

    Octane no. = % by vol. of iso-octane

    Two different test conditions: Research method: 52oC (125oF) inlet temperature, 600 rpm

    Motor method: 149oC (300oF) inlet temperature, 900 rpm

    Research ON

    ON

    Motor ON

    Sensitivity

    Road ON = (RON+MON) /2

    Engine

    severityLess severe test condition scale

    More severe test condition

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    Octane requirement

    From Balckmore and Thomas, Fuel Economy of the Gasoline Engine, Wiley 1977.

    Remark: these are old data; modern engine octane requirement relates more to MON

    100

    OctaneRequiremen

    t

    95

    90

    85OctaneRequirement,RON

    7 8 9 10 11

    Engine on test stand

    103

    102

    101

    10099

    98

    97

    96

    95

    94

    93

    92

    91

    Compression Ratio 90

    897.0 8.0 9.0 10.0

    Compression Ratio

    Represents data from at least ten

    cars of the same make and model

    As above, from at least five cars

    Cars on the road

    Slope ~ 5~

    Figure by MIT OpenCourseWare. Adapted from Blackmore, D. R., and Thomas, A. Fuel Economy of the Gasoline

    Engine: Fuel, Lubricant, and Other Effects. London, England: Macmillan, 1977.

    O t R i t I

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    Octane Requirement Increase

    18

    14

    10

    6

    2

    50 100 150 200

    0

    0-2

    No additive (ORI = 15)

    Deposit controlling additive (ORI = 10)

    Clean combustion chamber only

    Clean combustion chamber and intake valves

    Test 1 (no additive)

    Test 2 (with additive)

    Test 3 (with additive)

    Deposit removal

    Octanerequirem

    entincrease(ORI)

    Hours of operation

    ACS Vol. 36, #1, 1991

    Figure by MIT OpenCourseWare.

    K k t l t t i

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    Knock control strategies

    1. Provide adequate cooling to the engine

    2.

    Use intercooler on turbo-charged engines3. Use high octane gasoline

    4. Anti-knock gasoline additives

    5.

    Fuel enrichment under severe condition

    6. Use knock sensor to control spark retard so as to

    operate close to engine knock limit

    7. Fast burn system

    8. Gasoline direct injection

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    Anti-knock Agents

    Alcohols

    Methanol CH3OH

    Ethanol C2H5OH

    TBA (Tertiary Butyl Alcohol) (CH3)3COH

    Ethers

    MTBE (Methyl Tertiary Butyl Ether) (CH3)3COCH3

    ETBE (Ethyl Tertiary Butyl Ether) (CH3

    )3

    COC2

    H5

    TAME (Tertiary Amyl Methyl Ether) (CH3)2(C2H5)COCH3

    MIT OpenCourseWare

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    MIT OpenCourseWarehttp://ocw.mit.edu

    2.61 Internal Combustion EnginesSpring 2008

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    SI Engine Mixture Preparation

    1. Requirements

    2. Fuel metering systems

    3. Fuel transport phenomena4. Mixture preparation during engine transients

    5. The Gasoline Direct Injection engine

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    MIXTURE PREPARATION

    Fuel

    Fuel Air

    Metering Metering

    Air

    EGRMixing Control

    EGR

    Combustible

    Mixture

    Engine

    MIXTURE PREPARATION

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    MIXTURE PREPARATION

    Parameters Impact

    -Fuel Properties - Driveability

    -Air/Fuel Ratio - Emissions-Residual Gas - Fuel Economy

    Fraction

    Other issues: Knock, exhaust temperature, starting and

    warm-up, acceleration/ deceleration transients

    Equivalence ratio and EGR strategies

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    Equivalence ratio and EGR strategies

    (No emissions constrain)

    Enrichment to Enrichment to prevent

    improve idle stability knocking at high load

    Rich=1

    Lean for good fuel economyLean

    Load

    EGR to decrease

    NO emission andEGR pumping loss

    No EGR toNo EGR to maximize air

    improve idle flow for powerstability

    Load

    R i t f th 3 t l t

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    Requirement for the 3-way catalyst

    Image removed due to copyright restrictions. Please see: Fig. 11-57 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    FUEL METERING

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    FUEL METERING

    Carburetor A/F not easily controlled

    Fuel Injection Electronically controlled fuel metering

    Throttle body injection

    Port fuel injection

    Direct injection

    Injectors

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    Injectors

    PFI injectors

    Single 2-, 4-,, up to 12-holes

    Injection pressure 3 to 7 bar Droplet size:

    Normal injectors: 200 to 80 m

    Flash Boiling Injectors: down to 20 m

    Air-assist injectors: down to 20 m

    GDI injectors

    Shaped-spray

    Injection pressure 50 to 150 bar

    Drop size: 15 to 50 m

    PFI Injector targeting

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    PFI Injector targeting

    Fuel Injector

    Intake Valve

    70

    7

    40

    Geometrical Issues

    Arrangement of fuel injector and intake valve

    Figure by MIT OpenCourseWare.

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    Enginemanagement

    system

    From Bosch Automotive

    Handbook

    Image removed due to copyright restrictions. Please see anyillustration of an engine control system, such as that in the

    Bosch Automotive Handbook. London, England: John Wiley & Sons, 2004.

    Fuel Metering

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    g

    A/F ratio measured by

    sensor (closed loop operation)

    feedback on fuel amount to keep =1

    Feed-forward control (transients): To meter the correct fuel flow for the targeted A/F target, need to

    know the air flow Determination of air flow (need transient correction)

    Air flow sensor (hot film sensor)

    Speed density method

    Determine air flow rate from MAP (P) and ambient temperature

    (Ta) using volumetric efficiency (v) calibration

    Nma = VD

    2

    v (N,) Displacement vol. VD,rev. per second N,

    =PRTa

    gas constant R

    ENGINE EVENTS DIAGRAM

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    ENGINE EVENTS DIAGRAM

    Intake Exhaust Injection

    BC TC BC TC BC TC BC TC BC

    Ign Ign

    Cyl.#4TC BC TC BC TC BC TC BC TC

    Ign Ign

    Cyl.#3

    TC BC TC BC TC BC TC BC TC

    Ign Ign

    Cyl.#2

    BC TC BC TC BC TC BC TC BC

    Ign Ign

    Cyl.#1

    0 180 360 540 720 900 1080 1260 1440

    Cyl. #1 CA (0 o is BDC compression)

    Effect of Injection

    Ti i HC

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    Timing on HC

    Emissions

    Engine at 1300 rpm

    275 kPa BMEP

    Image removed due to copyright restrictions. Please see: Stache, I., and

    Alkidas, A. C. "The Influence of Mixture Preparation on the HC ConcentrationHistories from an S.I. Engine Running Under Steady-state Conditions."

    SAE Transactions106 (October 1997): 972981.

    Injection

    timing refers

    to start of

    injection

    Mixture Preparation in PFI engine

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    Mixture Preparation in PFI engine

    Image removed due to copyright restrictions. Please see: Nogi, Toshiharu, et al. "Mixture Formation of Fuel InjectionSystems in Gasoline Engines." SAE Transactions97 (February 1988): 880558.

    Intake flow phenomena in mixture preparation(At low to moderate speed and load range)

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    (At low to moderate speed and load range)

    Reverse Blow-down Flow

    IVO to EVC:

    Burned gas flows from exhaust port because Pe>Pi

    IVO to Pc = Pi: Burned gas flows from cylinder into intake system until cylinder and

    intake pressure equalize

    Forward Flow

    Pc

    = Pito BC:

    Forward flow from intake system to cylinder induced by downward piston

    motion

    Reverse Displacement Flow

    BC to IVC:

    Fuel, air and residual gas mixture flows from cylinder into intake due to

    upward piston motion

    Note that the reverse flow affects the mixture preparation

    process in engines with port fuel injection

    Mixture Preparation in Engine Transients

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    Mixture Preparation in Engine Transients

    Engine Transients

    Throttle Transients

    Accelerations and decelerations Starting and warm-up behaviors

    Engine under cold conditions

    Transients need special compensationsbecause:

    Sensors do not follow actual air delivery into cylinder

    Fuel injected for a cycle is not what constitutes the

    combustible mixture for that cycle

    Manifold pressure charging in thrott le transient

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    p g g

    Image removed due to copyright restrictions. Please see: Aquino, C. F. "Transient A/F Control Characteristics of the 5

    Liter Central Fuel Injection Engine." SAE Transactions90 (February 1981): 810494.

    Fuel-Lag in Throttle Transient

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    g

    The x-Model

    dMf=

    xmf Mf

    dt

    mc =(1- x)mf +Mf

    mf =Injected fuel flow rate

    mc =Fuel delivery rate

    to cylinder

    Mf =Fuel mass inpuddle

    mf

    .

    xmf

    .

    Mf/

    Mf

    Figure by MIT OpenCourseWare.

    Fuel transient in throttle opening

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    p g

    Image removed due to copyright restrictions. Please see Fig. 7-28 in Heywood, John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig 7-28

    Uncompensated A/F behavior in throttle transient

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    Engine start

    up behavior

    2.4 L, 4-cylinder

    Image removed due to copyright restrictions. Please see: Fig. 1 in Santoso, Halim, and Cheng, Wai K. engine

    "Mixture Preparation and Hydrocarbon Emissions in the First Cycle of SI Engine Cranking."

    SAE Journal of Fuels and Lubricants111 (October 2002): 2002-01-2805. Engine starts

    with Cyl#2

    piston in mid

    stroke of

    compression

    Firing order1-3-4-2

    Pertinent Features of DISI Engines

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    1. Precise metering of fuel into cylinder Engine calibration benefit: better driveability and

    emissions2. Opportunity of running stratified lean at part load

    Fuel economy benefit (reduced pumping work; lowercharge temperature, lower heat transfer; better

    thermodynamic efficiency)3. Charge cooling by fuel evaporation

    Gain in volumetric efficiency

    Gain in knock margin (could then raise compression

    ratio for better fuel economy) Both factors increase engine output

    Toyota DISI Engine (SAE Paper 970540)

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    Images removed due to copyright restrictions. Please see: Harada, Jun, et al. "Development of Direct-injection

    Gasoline Engine." SAE Journal of Engines106 (February 1997): 970540.

    Charge cooling by in-air fuel evaporation

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    Images removed due to copyright restrictions. Please see: Anderson, R. W., et al. "Understanding the Thermodynamics of

    Direct-injection Spark-ignition (DISI) Combustion Systems: An Analytical and Experimental Investigation." SAE Journal of Engines105 (October 1996): 962018.

    Full load performance benefit

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    Images removed due to copyright restrictions. Please see: Iwamoto, Y., et al. "Development of

    Gasoline Direct Injection Eengine." SAE Journal of Engines106 (February 1997): 970541.

    Part load fuel economy gain

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    Images removed due to copyright restrictions. Please see Kume, T., et al. "Combustion Control Technologies for

    Direct Injection SI Engine." SAE Journal of Engines105 (February 1996): 960600.

    DISI Challenges

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    1. High cost

    2. With the part-load stratif ied-charge concept :

    High hydrocarbon emissions at light load

    Significant NOx emission, and lean exhaust not amenable to3-way catalyst operation

    3. Particulate emissions at high load

    4. Liquid gasoline impinging on combustion chamber walls

    Hydrocarbon source Lubrication problem

    5. Injector deposit

    Special fuel additive needed for injector cleaning

    6. Cold start behavior

    Insufficient fuel injection pressure

    Wall wetting

    MIT OpenCourseWarehttp://ocw.mit.edu

    http://ocw.mit.edu/http://ocw.mit.edu/
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    2.61 Internal Combustion EnginesSpring 2008

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    Diesel Engine Combustion

    1. Characteristics of diesel combustion

    2. Different diesel combustion systems

    3. Phenomenological model of dieselcombustion process

    4. Movie of combustion in diesel systems

    5. Combustion pictures and planar laser

    sheet imaging

    DIESEL COMBUSTION PROCESS

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    PROCESS

    Liquid fuel injected into compressed charge

    Fuel evaporates and mixes with the hot airAuto-ignition with the rapid burning of the fuel-

    air that is premixed during the ignition delay

    periodPremixed burning is fuel rich

    As more fuel is injected, the combustion is

    controlled by the rate of diffusion of air into theflame

    DIESEL COMBUSTION PROCESS

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    NATURE OF DIESEL COMBUSTION

    Heterogeneous liquid, vapor and air

    spatially non-uniform

    turbulent

    diffusion flame

    The Diesel Engine

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    Intake air not throttled

    Load controlled by the amount of fuel injected

    >A/F ratio: idle ~ 80

    >Full load ~19 (less than overall stoichiometric)

    No end-gas; avoid the knock problem

    High compression ratio: better efficiency

    Combustion:

    Turbulent diffusion flame Overall lean

    Diesel as the Most Efficient Power Plant

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    Theoretically, for the same CR, SI engine has higher f; butdiesel is not limited by knock, therefore it can operate at

    higher CR and achieves higher f Not throttled - small pumping loss

    Overall lean - higher value of - higher thermodynamicefficiency

    Can operate at low rpm - applicable to very large engines

    slow speed, plenty of time for combustion

    small surface to volume ratio: lower percentage of parasiticlosses (heat transfer and friction)

    Opted for turbo-charging

    Large Diesels: f~ 55%

    ~ 98% ideal efficiency !

    Disadvantages of Diesel Engines

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    Cold start difficulty

    Noisy - sharp pressure rise: cracking noise

    Inherently slower combustion

    Lower power to weight ratio

    Expensive components

    NOx and particulate matters emissions

    Diesel Engine Characteristics

    (compared to SI engines)

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    Better fuel economy

    Overall lean, thermodynamically efficient

    Large displacement, low speed lower FMEP

    Higher CR

    > CR limited by peak pressure, NOx emissions, combustion andheat transfer loss

    Turbo-charging not limited by knock: higher BMEP over domain of

    operation, lower relative losses (friction and heat transfer)

    Lower Power density Overall lean: would lead to smaller BMEP

    Turbocharged: would lead to higher BMEP

    > not knock limited, but NOx limited

    > BMEP higher than SI engine

    Lower speed: overall power density (P/VD) not as high as SI engines

    Emissions: more problematic than SI engine

    NOx: needs development of efficient catalyst

    PM: regenerative and continuous traps

    Applications

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    Small (7.5 to 10 cm bore; previously mainly IDI; new

    ones are high speed DI)

    passenger cars Medium (10 to 20 cm bore; DI)

    trucks, trains

    Large (30 to 50 cm bore; DI) trains, ships

    Very Large (100 cm bore)

    stationary power plants, ships

    Common Direct-Injection Compression-Ignition Engines(Fig. 10.1 of text)

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    Image removed due to copyright restrictions. Please see Fig. 10-1 in Heywood, John B. Internal Combustion Engine

    Fundamentals.New York, NY: McGraw-Hill, 1988.

    (a) Quiescent chamber with multihole nozzle typical of larger engines

    (b) Bowl-in-piston chamber with swirl and multihole nozzle; medium to small size engines

    (c) Bowl-in-piston chamber with swirl and single-hole nozzle; medium to small size engines

    Common types of small Indirect-injection diesel engines(Fig. 10.2 of text)

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    Image removed due to copyright restrictions. Please see Fig. 10-2 in Heywood, John B. Internal Combustion EngineFundamentals.New York, NY: McGraw-Hill, 1988.

    (a) Swirl prechamber (b) Turbulent prechamber

    Common Diesel Combustion Systems (Table 10.1)

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    Image removed due to copyright restrictions. Please see Table 10-1 in Heywood, John B. Internal Combustion

    Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Typical Large Diesel Engine Performance Diagram

    140

    Max Pressure120

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    Max Pressure

    Scavenge Air Pressure (gauge)

    Exh. Temp, Turbine Inlet and Outlet

    Specific air quantity

    Specific fuel consumption

    Compression

    Pressure

    120100

    80

    60

    40

    20

    2.5

    2.0

    1.5

    1.0

    0.5

    (g/kWh)

    (kg/kWh)

    (oC)

    (bar)

    (bar)

    Sulzer RLB 90 - MCR 1

    Turbo-charged 2-stroke Diesel

    1.9 m stroke; 0.9 m bore

    Rating:0 Speed: 102 Rev/ min

    500

    Piston speed 6.46 m/s

    BMEP: 14.3 bar

    Configurations

    4 cyl: 11.8 MW (16000 bhp)

    5 cyl: 14.7 MW (20000 bhp)

    6 cyl: 17.7 MW (24000 bhp)

    450

    400

    350

    300

    250

    200

    13

    12

    11

    10

    9

    7 cyl: 20.6 MW (28000 bhp) 8

    7 8 cyl: 23.5 MW (32000 bhp) 210

    9 cyl: 26.5 MW (36000 bhp)

    10 cyl: 29.4 MW (40000 bhp)

    205

    200

    195

    190

    12 cyl: 35.3 MW (48000 bhp) 185180

    4 6 10 14

    8

    12

    BMEP (bar)

    16

    Diesel combustion processdirect injection

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    1)

    Ignition delayno significant

    heat release

    2)

    Premixed rapid combustion

    3)

    Mixing controlled phase of

    combustion

    4)

    Late combustion phase

    Note:

    (2) is too fast;

    (4) is too slow

    Rate of Heat Release in Diesel Combustion(Fig. 10.8 of Text)

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    Image removed due to copyright restrictions. Please see Fig. 10-9 in Heywood, John B. Internal CombustionEngine Fundamentals. New York, NY: McGraw-Hill, 1988.

    A Simple Diesel Combustion Concept (Fig. 10-8)

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    Image removed due to copyright restrictions. Please see Fig. 10-8 in Heywood, John B. Internal Combustion

    Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    MIT OpenCourseWarehttp://ocw.mit.edu

    2.61 Internal Combustion Engines

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    2.61 Internal Combustion EnginesSpring 2008

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    Diesel injection, ignition, and fuel air mixing

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    1. Fuel spray phenomena

    2. Spontaneous ignition

    3. Effects of fuel jet and charge motion on mixing-

    controlled combustion

    4. Fuel injection hardware5. Challenges for diesel combustion

    DIESEL FUEL INJECTION

    The fuel spray serves multiple purposes:

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    The fuel spray serves multiple purposes: Atomization

    Fuel distribution

    Fuel/air mixingTypical Diesel fuel injector Injection pressure: 1000 to 2200 bar

    5 to 20 holes at ~ 0.15 - 0.2 mm diameter

    Drop size 0.1 to 10 m For best torque, injection starts at about 20o BTDC

    Injection strategies for NOx control

    Late injection (inj. starts at around TDC)

    Other control strategies:Pilot and multiple injections, rate shaping, water emulsion

    Diesel Fuel Injection System

    (A Major cost of the diesel engine)

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    (A Major cost of the diesel engine) Performs fuel metering

    Provides high injection pressure

    Distributes fuel effectively Spray patterns, atomization etc.

    Provides fluid kinetic energy for charge mixing

    Typical systems: Pump and distribution system (100 to 1500 bar)

    Common rail system (1000 to 1700 bar)

    Hydraulic pressure amplification Unit injectors (1000 to 2500 bar)

    Piezoelectric injectors (to 1800 bar)

    Electronically controlled

    EXAMPLE OF DIESEL INJECTION

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    (Hino K13C, 6 cylinder, 12.9 L turbo-charged diesel

    engine, rated at 294KW@2000 rpm)

    Injection pressure = 1400 bar; duration = 40oCA

    BSFC 200 g/KW-hr

    Fuel delivered per cylinder per injection at rated

    condition

    0.163 gm ~0.21 cc (210 mm3)

    Averaged fuel flow rate during injection

    64 mm3/ms

    8 nozzle holes, at 0.2 mm diameter

    Average exit velocity at nozzle ~253 m/s

    Fuel Atomization Process

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    Liquid break up governed by balance between

    aerodynamic force and surface tension

    gasu2

    d

    Webber Number (Wb ) =

    Critical Webber number: Wb,critical ~ 30; diesel fuel

    surface tension ~ 2.5x10-2 N/m

    Typical Wb at nozzle outlet > Wb,critical; fuel shattered

    into droplets within ~ one nozzle diameter

    Droplet size distribution in spray depends on further

    droplet breakup, coalescence and evaporation

    Droplet size distribution

    f(D) Size distribution:f(D)dD b bilit f f i di

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    f(D)dD = probability of f inding

    particle with diameter in

    the range of (D, D + dD)

    1=

    f(D)dD

    D 0

    Average diameter Volume distribution

    1 dV f(D) D

    3

    D =

    f(D) D dDV dD =

    0

    f(D)D3dD0

    Sauter Mean Diameter (SMD)

    f (D) D 3dD

    D 32 = 0

    f (D) D 2dD0

    Droplet Size Distribution

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    Image removed due to copyright restrictions. Please see Fig. 10-28 in Heywood, John B. Internal Combustion

    Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig. 10.28 Droplet size distribution measured well downstream; numbers on the curves are

    radial distances from jet axis. Nozzle opening pressure at 10 MPa; injection into air at 11 bar.

    Droplet Behavior in Spray

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    Small drops (~ micron size) follow gas stream;

    large ones do not

    Relaxation time d2

    Evaporation time d2

    Evaporation time small once charge is ignited

    Spray angle depends on nozzle geometry and

    gas density : tan(/2) (gas/liquid)

    Spray penetration depends on injectionmomentum, mixing with charge air, and droplet

    evaporation

    Spray Penetration: vapor and liquid (Fig. 10-20)

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    Shadowgraph image

    showing both liquid

    and vapor penetration

    Image removed due to copyright restrictions. Please see Fig. 10-20 in Heywood, John B. Internal Combustion

    Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Back-lit image

    showing liquid-

    containing core

    Auto-ignition Process

    PHYSICAL PROCESSES (Physical Delay)

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    Drop atomization

    Evaporation

    Fuel vapor/air mixing

    CHEMICAL PROCESSES (Chemical Delay)

    Chain initiation

    Chain propagationBranching reactions

    CETANE IMPROVERS

    Alkyl Nitrates 0.5% by volume increases CN by ~10

    Ignition Mechanism: similar to SI engine knock

    CHAIN BRANCHING EXPLOSION

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    CHAIN BRANCHING EXPLOSION

    Chemical reactions lead to increasing number of radicals,

    which leads to rapidly increasing reaction rates

    Formation of Branching Agents

    ChainInitiation RO2 +RH ROOH +R

    RH +

    O2 R +HO2 RO2 RCHO +RO

    ChainPropagation DegenerateBranching

    R +O2 RO2,etc. ROOH RO +OHRCHO +

    O2 RCO +

    HO2

    Cetane Rating

    (Procedure is simi lar to Octane Rating for SI Engine; for details,

    see10 6 2 of text)

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    see10.6.2 of text)

    Primary Reference Fuels:

    Normal cetane (C16H34): CN = 100

    Hepta-Methyl-Nonane (HMN; C16H34): CN = 15

    (2-2-4-4-6-8-8 Heptamethylnonane)

    Rating:

    Operate CFR engine at 900 rpm with fuel

    Injection at 13o BTC

    Adjust compression ratio until ignition at TDC

    Replace fuel by reference fuel blend and change blend proportion to

    get same ignition point

    CN = % n-cetane + 0.15 x % HMN

    Ignition Delay

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    Igniti on delays measured in a

    small four-stroke cycle DI

    diesel engine with rc=16.5, as aImage removed due to copyright restrictions. Please see Fig. 10-36 in Heywood, John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988. function of load at 1980 rpm, at

    various cetane number

    (Fig. 10-36)

    Fuel effects on Cetane Number (Fig. 10-40)

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    Image removed due to copyright restrictions. Please see Fig. 10-40 in Heywood, John B. Internal Combustion

    Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Ignition Delay Calculations

    Difficulty: do not know local conditions (species concentrationand temperature) to apply kinetics information

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    a d e pe a u e) o app y e cs o a o

    Two practical approaches:

    Use an instantaneous delay expression

    (T,P) = P-nexp(-EA/ T)

    and solve ignition delay (id) from

    1=

    tsi

    +id

    1

    dttsi (T(t),P(t)) Use empirical correlation of id based on T, P at an appropriate

    charge condition; e.g. Eq. (10.37 of text)

    1 1

    21.2 0.63

    id(CA) =

    (0.36 +

    0.22Sp(m/s))expEA(

    R~

    T(K)

    17190)) +

    (P(bar) 12.4

    )

    EA (Joules per mole) = 618,840 / (CN+25)

    Diesel Engine Combustion

    Air Fuel Mixing Process

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    Importance of air utilization

    Smoke-limit A/F ~ 20

    Fuel jet momentum / wall interaction has a larger influenceon the early part of the combustion process

    Charge motion impacts the later part of the combustion

    process (after end-of-injection)

    CHARGE MOTION CONTROL

    Intake created motion: swirl, etc.

    Not effective for low speed large engine

    Piston created motion - squish

    Interaction of fuel jet and the chamber wall

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    Sketches of outer vapor boundary

    of diesel fuel spray from 12

    successive frames (0.14 ms apart)Image removed due to copyright restrictions. Please see Fig. 10-21 in

    of high-speed shadowgraphHeywood, John B. Internal Combustion Engine Fundamentals. New York,NY: McGraw-Hill, 1988. movie. Injection pressure at 60

    MPa.

    Fig. 10-21

    Interaction of fuel jet with air swirl

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    Schematic of fuel jet air swirl interaction;

    is the fuel equivalenceImage removed due to copyright restrictions. Please see Fig. 10-22in

    ratio distributionHeywood, John B. Internal Combustion Engine Fundamentals. New York,

    NY: McGraw-Hill, 1988.

    Fig. 10-22

    Rate of Heat Release in Diesel Combustion(Fig. 10.8 of Text)

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    Image removed due to copyright restrictions. Please see Fig. 10-9 in Heywood, John B. Internal Combustion

    Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    DIESEL FUEL INJECTION HARDWARE

    High pressure system

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    High pressure system

    precision parts for flow control

    Fast action high power movements

    Expensive system

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    CHALLENGES IN DIESEL COMBUSTION

    Heavy Duty Diesel Engines

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    Heavy Duty Diesel Engines NOx emission

    Particulate emission Power density

    Noise

    High Speed Passenger Car Diesel Engines

    All of the above, plus

    Fast burn rate

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    Diesel Emissions and Control

    Diesel emissions

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    Diesel emissions

    Regulatory requirements Diesel emissions reduction

    Diesel exhaust gas after-treatment

    systems

    Clean diesel fuels

    Diesel Emissions

    CO not significant until smoke-limit is reachedOverall fuel lean

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    higher CR favors oxidation

    HC not significant in terms of mass emission

    Crevice gas mostly air Significant effects:

    Odor

    Toxics (HC absorbed in fine PM)

    Mechanisms:Over-mixing, especially during light load

    Sag volume effect

    NOx very important

    No attractive lean NOx exhaust treatment yet PM very important

    submicron particles health effects

    Demonstration of over-mixing effect

    Diesel HC

    emissionmechanisms

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    Images removed due to copyright restrictions. Please see: Fig. 11-35 and 11-36 in Heywood, John B.

    Internal Combustion Engine Fundamentals.New York, NY: McGraw-Hill, 1988.

    Effect of nozzle sac vol. on HC emissions

    NOx mechanisms

    NO: Extended Zeldovich mechanismN2 + O NO + N

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    N2 ONO N

    N + O2NO + O

    N + OH

    NO + H Very temperature sensitive: favored at high temperature

    Diffusion flame: locally high temperature

    More severe than SI case because of higher CR

    NO2 : high temperature equilibrium favors NO, but NO2 isformed due to quenching of the formation of NO by mixingwith the excess air

    NO + HO2

    NO2 + OH

    NO2 + ONO + O2

    Gets 10-20% of NO2 in NOx

    NOx formation in Diesel engines

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    Images removed due to copyright restrictions. Please see: Fig. 11-15 and 11-16 in Heywood, John B.

    Internal Combustion Engine Fundamentals.New York, NY: McGraw-Hill, 1988.

    Normalized NO concentration fromcylinder dumping experiment. NOx and NO emissions as a funct ion of

    Injection at 27o BTC. Note most of the overall equivalence ratio . Note that NO2

    NO is formed in the diffusion phase of as a fraction of the NOx decreases with

    burning increase of .

    Diesel combustion

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    Image removed due to copyright restrictions. Please see: Flynn, Patrick F., et al. "Diesel Combustion: An Integrated View Combining Laser

    Diagnostics, Chemical Knetics, and Empirical Validation." SAE Journal of Engines108 (March 1991): SP-1444.

    Particulate Matter (PM)

    As exhaust emission:

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    visible smoke

    collector of organic and inorganic materialsfrom engine

    Partially oxidized fuel; e.g. Polycyclic Aromatic

    Hydrocarbons (PAH)Lubrication oil (has Zn, P, Cu etc. in it)

    Sulfates (fuel sulfur oxidized to SO2, and

    then in atmosphere to SO3 which hydratesto sulfuric acid (acid rain)

    Particulate Matter

    In the combustion process, PM formed

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    initially as soot (mostly carbon)

    partially oxidized fuel and lub oil condenseon the particulates in the expansion,

    exhaust processes and outside the engine

    PM has effective absorption surface area of200 m2/g

    Soluble Organic Fraction (SOF) 10-30%

    (use dichloromethane as solvent)

    Elementary soot particle structure

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    Image removed due to copyright restrictions. Please see: Fig. 11-41 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

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    Source: Environmental Protection Agency, www.epa.gov.

    PM formation processes

    NucleationDehydrogenation

    Oxidation

    http://www.epa.gov/http://www.epa.gov/
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    Surface growth

    Agglomeration

    Adsorption,

    condensation

    Dehydrogenation

    Oxidation

    Time

    DehydrogenationOxidation

    In-cylinder

    Inatmosp

    here

    Diesel NOx/PM regulation

    1

    US

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    0.01

    0.1

    2007

    1991-93

    1990

    PM

    (g/bhp-hr)

    1994

    1998

    2004

    US

    Euro II (1998)

    Euro III(2000)

    Euro IV(2005)

    Euro V(2008)Euro VI (proposed-2013)

    EU

    0.1 1 10

    NOx (g/bhp-hr)

    (Note: Other count ries regulations are originally in terms of g/KW-hr)

    Diesel Emissions Reduction

    1. Fuel injection: higher injection pressure; multiple

    pulses per cycle, injection rate shaping; improved

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    pu ses pe cyc e, jec o a e s ap g; p o ed

    injection timing control

    2.

    Combustion chamber geometry and air motionoptimization well matched to fuel injection system

    3. Exhaust Gas Recycle (EGR) for NOx control

    Cooled for impact4. Reduced oil consumption to reduce HC contribution

    to particulates

    5. Exhaust treatment technology: NOx, PM

    6. Cleaner fuels

    Effect of EGR

    1.35 L single cylinder engine,

    Direct Injection, 4-stroke

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    Images removed due to copyright restrictions. Please see: Uchida, Noboru, et al. "Combined Effects of EGR and Supercharging on Diesel

    Combustion and Emissions." SAE Journal of Engines102 (March 1993): 930601.

    Split Injection

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    Images removed due to copyright restrictions. Please see: Nehmer, D. A., and Reitz, R. D. "Measurement of the Effect of Injection

    Rate and Split Injections on Diesel Engine Soot and NOx Emissions." SAE Journal of Engines103 (February 1994): 940668.

    PM Control

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    Images removed due to copyright restrictions. Please see: Zelenka, P., et al. "Ways Toward the Clean

    Heavy-duty Diesel." SAE Journal of Engines 99 (February 1990): 900602.

    Post injection filter regeneration

    Regeneration needs ~550oC

    Normal diesel exhaust under city

    d i i 150 200 C

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    Image removed due to copyright restrictions. Please see: Fig. 8 in Salvat, O., et al.

    "Passenger Car Serial Application of a Particulate Filter System on a Common

    Rail Direct Injection Diesel Engine." SAE Journal of Fuels and Lubricants109

    (March 2000): SP-1497.

    Increase exhaust gas temperature by injection of

    additional fuel pulse late in cycle.

    driving ~150-200oC

    Need oxidation catalyst (CeO2) to

    lower light off temperature

    Control engine torque

    Minimized fuel penalty

    Peugeot SAE 2000-01-0473

    Diesel particulate filters use porous ceramics

    and catalyst to collect and burn the soot

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    Please see slide 9 in Johnson, Tim. "Diesel Exhaust Emission Control." Environmental Monitoring, Evaluation, and Protection in

    New York: Linking Science and Policy, 2003.

    State-of-the Art SCR system has NO2 generation and

    oxidation catalyst to eliminate ammonia slip

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    Image removed due to copyright restrictions. Please see p. 9 in "Recent Developments in Integrated Exhaust Emission

    Control Technologies Including Retrofit of Off-Road Diesel Vehicles." Manufacturers of Emissions Controls Association,

    February 3, 2000.

    Integrated DPF and NOx trap

    http://www.arb.ca.gov/msprog/offroad/techreview/MECA-ci.pdfhttp://www.arb.ca.gov/msprog/offroad/techreview/MECA-ci.pdfhttp://www.arb.ca.gov/msprog/offroad/techreview/MECA-ci.pdfhttp://www.arb.ca.gov/msprog/offroad/techreview/MECA-ci.pdf
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    Image removed due to copyright restrictions. Please see: Fig. 3 in Nakatani, Koichiro, et al. "Simultaneous PM and NOx

    Reduction System for Diesel Engines." SAE Journal of Fuels and Lubricants111 (March 2002): SP-1674.

    From Toyota SAE Paper 2002-01-0957

    Clean Diesel Fuels

    1. Lower sulfur levels

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    350 ppm15 ppm

    2. Lower percentage aromatics

    3. Oxygenated fuels

    4. Higher cetane number5. Narrower distillation range

    Diesel Emission Control

    Summary

    Emission regulations present substantial

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    Emission regulations present substantial

    challenge to Diesel engine system Issues are:

    performance and sfc penalty

    cost

    reliability

    infra-structure support

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    Engine Heat Transfer

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    1. Impact of heat transfer on engine operation

    2. Heat transfer environment

    3. Energy flow in an engine

    4. Engine heat transfer Fundamentals Spark-ignition engine heat transfer

    Diesel engine heat transfer

    5. Component temperature and heat flow

    Engine Heat Transfer

    Heat transfer is a parasitic process that

    contributes to a loss in fuel conversion

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    efficiency

    The process is a surface effect

    Relative importance reduces with:

    Larger engine displacement

    Higher load

    Engine Heat Transfer: Impact

    Efficiency and Power: Heat transfer in the inlet decrease volumetricefficiency. In the cylinder, heat losses to the wall is a loss of

    availability.

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    Exhaust temperature: Heat losses to exhaust influence theturbocharger performance. In- cylinder and exhaust system heat

    transfer has impact on catalyst light up.

    Friction: Heat transfer governs liner, piston/ ring, and oiltemperatures. It also affects piston and bore distortion. All of these

    effects influence friction. Thermal loading determined fan, oil and

    water cooler capacities and pumping power.

    Component design: The operating temperatures of critical engine

    components affects their durability; e.g. via mechanical stress,

    lubricant behavior

    Engine Heat Transfer: Impact

    Mixture preparation in SI engines: Heat transfer to the fuel

    significantly affect fuel evaporation and cold start calibration

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    Cold start of diesel engines: The compression ratio of dieselengines are often governed by cold start requirement

    SI engine octane requirement: Heat transfer influences inlet

    mixture temperature, chamber, cylinder head, liner, piston andvalve temperatures, and therefore end-gas temperatures, which

    affect knock. Heat transfer also affects build up of in-cylinder

    deposit which affects knock.

    Engine heat transfer environment

    Gas temperature: ~300 3000oK

    Heat flux to wall: Q /A

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    Materials limit:

    Cast iron ~ 400oC

    Aluminum ~ 300oC

    Liner (oil film) ~200oC

    Hottest components Spark plug > Exhaust valve > Piston crown > Head

    Liner is relatively cool because of limited exposure to burned

    gas

    Source Hot burned gas

    Radiation from particles in diesel engines

    Energy flow diagram for an IC engine

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    Image removed due to copyright restrictions. Please see: Fig. 12-3 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Energy flow distribution for SI and Diesel

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    Image removed due to copyright restrictions. Please see Table 12-1 in Heywood, John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Energy distribution in SI engine

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    Images removed due to copyright restrictions. Please see: Fig. 12-4 in Heywood, John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Heat transfer process in engines

    Areas where heat transfer is important

    Intake system: manifold, port, valves

    In cylinder: cylinder head piston valves liner

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    In-cylinder: cylinder head, piston, valves, liner

    Exhaust system: valves, port, manifold, exhaust pipe Coolant system: head, block, radiator

    Oil system: head, piston, crank, oil cooler, sump

    Information of interest

    Heat transfer per unit time (rate)

    Heat transfer per cycle (often normalized by fuel heating

    value)

    Variation with time and location of heat flux (heat transferrate per unit area)

    Schematic of temperature distribution and heat flow across

    the combustion chamber wall (Fig. 12-1)

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    Image removed due to copyright restrictions. Please see: Fig. 12-1 in Heywood, John B.Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Combustion Chamber Heat Transfer

    Turbulent convection: hot gas to wall

    .Q =Ahg(Tg Twg )

    Conduction through wall

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    .

    Q =A (Twg Twc)tw

    Turbulent convection: wall to coolant.

    Q =Ahc (Twc Tc )

    Overall heat transfer.

    Q = Ah(T g Tc )

    Overall thermal resistance: three resistance in series

    1 1 t 1= + w +h hg hc ( alum ~180 W/m-k

    cast iron ~ 60 W/m-k

    stainless steel ~18 W/m-k)

    Turbulent Convective Heat Transfer Correlation

    Approach: Use Nusselt- Reynolds number correlations similar tothose for turbulent pipe or flat plate flows.

    e.g. In-cylinder:

    Nu =hL

    = a(Re) 0 .8

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    Nu = = a(Re)

    h = Heat transfer coefficient

    L = Characteristic length (e.g. bore)

    Re= Reynolds number, UL/

    U = Characteristic gas velocity

    = Gas thermal conductivity

    = Gas viscosity

    = Gas density

    a = Turbulent pipe flow correlation coefficient

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    IC Engine heat transfer

    Heat transfer mostly from hot burned gasThat from unburned gas is relatively small

    Flame geometry and charge motion/turbulence

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    Flame geometry and charge motion/turbulence

    level affects heat transfer rate

    Order of MagnitudeSI engine peak heat flux ~ 1-3 MW/m2

    Diesel engine peak heat flux ~ 10 MW/m2

    For SI engine at part load, a reduction inheat losses by 10% results in animprovement in fuel consumption by 3%Effect substantially less at high load

    SI Engine Heat Transfer

    Heat transfer dominated by that

    from the hot burned gas

    Burned gas wetted area determine

    b li d / fl t

    Unburned Zone

    Burned Zone

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    Heat transfer

    by cylinder/ flame geometry

    Gas motion (swirl/ tumble) affects

    heat transfer coefficient

    Burned zone: sum over area wetted Qb = Aci,bhb(Tb Tw,i)by burned gas i

    Unburned zone: sum over area Qu = Aci,uhu(Tu Tw,i) wetted by unburned gas i

    Note: Burned zone heat f lux >> unburned zone heat f lux

    Acij

    Cooling Surface Area

    Figure by MIT OpenCourseWare.

    SI engine heat transfer environment

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    Image removed due to copyright restrictions. Please see Fig. 14-9 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig. 14-9 5.7 L displacement, 8 cylinder engine at WOT, 2500 rpm; fuel equivalence

    ratio 1.1; GIMEP 918 kPa; specif ic fuel consumption 24 g/kW-hr.

    SI engine heat flux

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    Images removed due to copyright restrictions. Please see: Gilaber, P., and P. Pinchon. "Measurements and Multidimensional

    Modeling of Gas-wall Heat Transfer in a S.I. Engine." SAE Journal of Engines97 (February 1988): 880516.

    Heat transfer scaling

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    Image removed due to copyright restrictions. Please see: Fig. 12-25 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Nu correlation: heat transfer rate 0.8N0.8

    Time available (per cycle) 1/N

    Fuel energy BMEP

    Thus Heat Transfer/Fuel energy BMEP-0.2N-0.2

    Diesel engine heat transfer

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    Image removed due to copyright restrictions. Please see Fig. 12-13 in Heywood, John B.

    Internal Combustion Engine Fundamentals.New York, NY: McGraw-Hill, 1988.

    Fig. 12-13 Measured surface heat fluxes at di fferent locations in cylinder head andliner of naturally aspirated 4-stroke DI diesel engine. Bore=stroke=114mm; 2000

    rpm; overall fuel equivalence ratio = 0.45.

    Diesel engine radiative heat transfer

    Fig. 12-15Radiant heat flux as

    Image removed due to copyright restrictions. Please see: Fig. 12-15 in Heywood, John B. fraction of total heat flux

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    g py g g y

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988. over the load range ofseveral different diesel

    engines

    Heat transfer effect on component temperatures

    Temperature distribution in head

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    Image removed due to copyright restrictions. Please see Fig. 12-20 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig. 12-20 Variation of cylinder head temperature with measurement location n SI

    engine operating at 2000 rpm, WOT, with coolant water at 95oC and 2 atmosphere.

    Heat transfer paths from piston

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    Image removed due to copyright restrictions. Please see: Fig. 12-24 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig. 12-24 Heat outflow form various zones of piston as percentage of heat flow in

    from combustion chamber. High-speed DI diesel engine, 125 mm bore, 110 mm

    stroke, CR=17

    Piston Temperature Distribution

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    Image removed due to copyright restrictions. Please see Fig. 12-19 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Figure 12-19

    Isothermal contours (solid lines) and heat flow paths (dashed lines) determined from measured

    temperature distribution in piston of high speed DI diesel engine. Bore 125 mm, stroke 110

    mm, rc=17, 3000 rev/min, and full load

    Thermal stress

    Simple 1D example : column constrained at ends

    T2>T1 induces

    compressionStress-strain relationship

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    Stress strain relationshipT1 stress

    x=[x-(y+z)]/E + (T2-T1)

    REAL APPLICATION - FINITE ELEMENT ANALYSIS

    Complicated 3D geometry

    Solution to heat flow to get temperature distribution Compatibility condition for each element

    Heat Transfer Analysis

    Example of Thermal

    Stress Analysis:Piston

    Design

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    Images removed due to copyright restrictions. Please see Castleman, Jeffrey L. "Power Cylinder Design Variables and Their

    Effects on Piston Combustion Bowl Edge Stresses." SAE Journal of Engines102 (September 1993): 932491.

    Thermal-Stress-Only

    Loading Structural Analysis

    Power Cylinder Design

    Variables and TheirEffects on Piston

    Combustion Bowl Edge

    Stresses

    J. Castleman, SAE 932491

    Heat Transfer Summary

    1.

    Magnitude of heat transfer from the burned gas much greater than inany phase of cycle

    2. Heat transfer is a significant performance loss and affects engine

    operation

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    Loss of available energy

    Volumetric efficiency loss

    Effect on knock in SI engine

    Effect on mixture preparation in SI engine cold start

    Effect on diesel engine cold start

    3. Convective heat transfer depends on gas temperature, heat transfer

    coefficient, which depends on charge motion, and transfer area,

    which depends on flame/combustion chamber geometry

    4. Radiative heat transfer is smaller than convective one, and it is only

    significant in diesel engines

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    Engine Friction and Lubrication

    Engine friction

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    terminology

    Pumping loss

    Rubbing friction loss

    Engine Friction: terminology

    Pumping work: Wp Work per cycle to move the working fluid through the engine

    Rubbing friction work: Wrf

    Accessory work: Wa

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    Total Friction work: Wtf = Wp + Wrf + Wa

    Normalized by cylinder displacement MEP

    tfmep = pmep + rfmep + amep

    Net output of engine

    bmep = imep(g) tfmep

    Mechanical efficiency m = bmep / imep(g)

    Friction components

    1.

    Crankshaft friction Main bearings, front and rear bearing oil seals

    2. Reciprocating friction

    C ti d b i i t bl

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    Connecting rod bearings, piston assembly3. Valve train

    Camshafts, cam followers, valve actuation mechanisms

    4. Auxiliary components

    Oil, water and fuel pumps, alternator5. Pumping loss

    Gas exchange system (air filter, intake, throttle, valves,

    exhaust pipes, after-treatment device, muffler)

    Engine fluid flow (coolant, oil)

    Engine Friction

    Fig. 13-1

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    Comparison of major categories of

    Image removed due to copyright restrictions. Please see: Fig. 13-1 in frict ion losess: fmep at dif ferentHeywood, John B. Internal Combustion Engine Fundamentals. loads and speeds for 1.6 L four-New York, NY: McGraw-Hill, 1988.

    cylinder overhead-cam automotive

    Spark Ignit ion (SI) and

    Compression-Ignition (CI) engines.

    Pumping loss

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    Image removed due to copyright restrictions. Please see: Fig. 13-15 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig. 13-15 Puming loop diagram for SI engine under f iring

    conditions, showing throttling work Vd(pe-p i), and valve flow work

    Sliding friction mechanism

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    Image removed due to copyright restrictions. Please see: Fig. 13-4 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Energy dissipation processes:

    Detaching chemical binding between surfaces Breakage of mechanical interference (wear)

    Bearing Lubrication

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    Image removed due to copyright restrictions. Please see: Fig. 13-2 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Stribeck Diagram

    for journal bearing

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    Image removed due to copyright restrictions. Please see: Fig. 13-3 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Motoring break-down analysis

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    Image removed due to copyright restrictions. Please see: Fig. 13-14 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Fig. 13-14

    Motored fmep versus engine speed for engine breakdown tests.

    (a) Four-cyl inder SI engine.

    (b) Average results for several four- and six-cylinder DI diesel engines

    Breakdown of engine mechanical fr iction

    1 F.A. Martin, Friction in Internal Combustion

    Engines, I.Mech.E. Paper C67/85, Combust ion

    Engines Frict ion and Wear, pp.1-17,1985.

    T. Hisatomi and H. Iida, Nissan Motor Companys

    New 2.0 L. Four-cylinder Gasoline Engine, SAE

    Trans. Vol. 91, pp. 369-383, 1982; 1st engine.

    2nd engine

    18

    19Piston + Rod

    Piston

    Rings

    RingsTypical

    4800 r/min

    4800 r/min

    Full Load

    Rod

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    2nd engine.

    M. Hoshi, Reducing Friction Losses in Automobile

    Engines, Tribology International, Vol. 17, pp 185-

    189, Aug. 1984.

    J.T. Kovach, E.A. Tsakiris , and L.T. Wong, Engine

    Friction Reduction for Improved Fuel Economy,

    SAE Trans. Vol. 91, pp. 1-13, 1982

    19

    20

    21

    Mechanical Friction (%)

    Rings + Piston + Rod

    RodRings + Piston

    Piston + RodRings

    Motoringr/min

    Motoringr/min

    4800 r/min

    Full Load

    6000

    4000

    2000

    2000

    4000

    Valvetrain

    Crankshaft

    100806040200

    Figure by MIT OpenCourseWare.

    Valve train friction

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    Image removed due to copyright restrictions. Please see illustrations of "Valve Timing-gear Designs."

    In the Bosch Automotive Handbook. London, England: John Wiley & Sons, 2004.

    Valve train friction depends on: Total contact areas

    Stress on contact areas

    Spring and inertia loads

    Low friction valve train

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    Image removed due to copyright restrictions. Please see: Fig. 13-25 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Valve train friction reduction

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    Engine speed (x1000 rpm)

    Friction loss reduction by new lighter valve train system,

    JSAE Review 18 (1977), Fukuoka, Hara, Mori, and Ohtsubo

    Courtesy of Elsevier, Inc., http://www.sciencedirect.com. Used with permission.

    Piston ring pack

    http://www.sciencedirect.com/http://www.sciencedirect.com/
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    Image removed due to copyright restrictions. Please see: Fig. 13-17 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Hydrodynamiclubrication of the

    piston ring

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    Image removed due to copyright restrictions. Please see: Fig. 13-18 in Heywood, John B.

    Internal Combustion Engine Fundamentals. New York, NY: McGraw-Hill, 1988.

    Friction force and associated power loss

    150

    100

    50Force(N)

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    0

    0

    800

    600

    400

    200

    TDC TDC TDCBDC BDC

    Crank Angle

    Intake Compression Expansion Exhaust

    Power(N

    -m/s)

    Figure by MIT OpenCourseWare.

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    Bore distortion

    4thOrder

    Cylinder Distortion

    2ndOrder 2ndOrder 3rdOrder

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    1

    4 Order 2 Order

    2ndOrder

    3rdOrder 4thOrder

    2 Order 3 Order

    2 3 4

    Three orders of bore distortion.

    Top deck of hypothetical engine.

    Figure by MIT OpenCourseWare.

    Lubricants

    Viscosity is a strong function of temperature

    Multi-grade oils (introduced in the 1950s)

    Temperature sensitive polymers to stabilize

    viscosity at high temperatures

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    y g p

    Cold: polymers coiled and inactive

    Hot: polymers uncoiled and tangle-up:

    suppress high temperature thinning

    Stress sensitivity: viscosity is a function of

    strain rate

    Viscosity

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    Image removed due to copyright restrictions. Please see: Linna, Jan-Roger, et al. "Contribution of Oil Layer Mechanism to the

    Hydrocarbon Emissions from Spark-ignition Engines." SAE Journal of Fuels and Lubricants106 (October 1997): 972892.

    Modeling of engine friction

    Overall engine friction model:

    tfmep (bar) = fn (rpm, Vd, , B, S, .)

    See text, ch. 13, ref.6; SAE 900223, )

    Detailed model

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    Detailed model

    tfmep = (fmep)components

    With detailed modeling of component friction as a function of rpm, load,

    FMEP distribution

    Image removed due to copyright restrictions. Please see: Patton, Kenneth J., et al. "Development and Evaluation of a Friction

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    Model for Spark-ignition Engines." SAE Journal of Engines98 (February 1989): 890836.

    Distr ibution of FMEP for a 2.0L I-4 engine; B/S = 1.0, SOHC-rocker arm, flat

    fol lower, 9.0 compression ratio

    C = crankshaft and seals

    R = reciprocating components

    V = valve train components

    A = Auxiliary components

    P = Pumping loss

    MIT OpenCourseWarehttp://ocw.mit.edu

    2.61 Internal Combustion EnginesSpring 2008

    For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

    http://ocw.mit.edu/http://ocw.mit.edu/termshttp://ocw.mit.edu/termshttp://ocw.mit.edu/
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    Engine Turbo/Super Charging

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    Super and Turbo-charging

    Why super/ turbo-charging?

    Fuel burned per cycle in an IC engine is air limited

    (F/A)stoich = 1/14.6

    f,v fuel conversion and volumetricefficienciesfm QHV

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    fm f QHV mf fuel mass per cycleTorq = QHV fuel heating value2nR nR 1 for 2-stroke, 2 for 4-stroke engine

    N revolution per second

    Power =

    Torq

    2N VD engine displacementa,0 air densityFmf =(A)Va,0VD

    Super/turbo-charging: increase air density

    Super- and Turbo- Charging

    Purpose: To increase the charge density Supercharge: compressor powered by engine output

    No turbo-lag

    Does not impact exhaust treatment

    Fuel consumption penalty

    T b h d b h t t bi

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    Turbo-charge: compressor powered by exhaust turbine Uses wasted exhaust energy

    Turbo- lag problem

    Affects exhaust treatment

    Intercooler Increase charge density (hence output power) by cooling the

    charge

    Lowers NOx emissions

    Exhaust-gas turbocharger for trucks

    1.Compressor housing, 2. Compressor

    impeller, 3. Turbine housing, 4. Rotor, 5.

    Bearing housing, 6. inflowing exhaust gas, 7.

    Charge-air pressure regulation with Out-flowing exhaust gas, 8. Atmospheric fresh

    wastegate on exhaust gas end. 1.Engine,air, 9. Pre-compressed fresh air, 10. Oil inlet,

    2. Exhaust-gas turbochager, 3. Wastegate 11. Oil return

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    Images removed due to copyright restrictions. Please see illustrations of "Charge-air Pressure Regulation with Wastegate on Exhaust

    Gas End", and "Exhaust-gas Turbocharger for Trucks." In the Bosch Automotive Handbook. London, England: John Wiley & Sons, 2004.

    From Bosch Automotive Handbook

    Compressor: basic thermodynamics

    Compressor efficiency c

    W = Widealc Wactual

    T

    Wideal =mcpT1

    T

    T

    2

    1

    1

    1

    1

    2

    m

    P2

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    1

    T2 =P2

    T1

    P1

    1 1 P2

    Wactual = mcpT1 1c P1

    Wactuals T2 =T1 +

    mcp

    P1

    1

    22

    Ideal

    process

    Actual

    process

    Turbine: basic thermodynamics

    Turbine efficiency t4

    W

    t =

    W

    actual

    Wideal3

    mWideal =mcpT3

    1

    T

    T

    4

    3

    T 1

    P3

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    T4 =P4

    T3

    P3

    1

    P Wactual = tmcpT3

    1

    P3

    4

    Wactuals T4 =T3

    mcp

    P4

    4

    3

    4

    Ideal

    process

    Actual

    process

    Properties of Turbochargers

    Power transfer between fluid and shaft RPM3

    Typically operate at ~ 60K to 120K RPM

    RPM limited by centrifugal stress: usually tip

    velocity is approximately sonic

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    Flow devices, sensitive to boundary layer (BL)

    behavior

    Compressor: BL under unfavora