Engine Performance and Testing

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    Engine Performance andEngine Performance and

    TestingTesting

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    Performance ParametersPerformance ParametersPowerPower

    Indicated powerIndicated power

    Brake powerBrake power

    Friction powerFriction power

    EfficiencyEfficiency

    AirAir--standard efficiencystandard efficiency

    Indicated thermal efficiencyIndicated thermal efficiency

    Brake thermal efficiencyBrake thermal efficiency

    Mechanical efficiencyMechanical efficiency

    Volumetric efficiencyVolumetric efficiency

    RelativeefficiencyRelativeefficiency

    SpeedSpeed

    Fuel consumptionFuel consumption

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    Indicated powerIndicated power

    Therateofwork done by the gason the piston

    The indicated power is given by

    ppmimi -- Indicated mean effective pressure (AverageIndicated mean effective pressure (Averagepressure acting on piston during powerpressure acting on piston during power

    stroke)stroke)

    ll -- stroke lengthstroke length

    aa -- crosssectional area ofcylindercrosssectional area ofcylinder

    nn -- noofworking strokes : n = N for 2noofworking strokes : n = N for 2--strokeenginesstrokeengines

    = N/2 for 4= N/2 for 4--strokeenginesstrokeengines

    lankpIP mi!

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    Measurement ofIndicatedMeasurement ofIndicatedpowerpower -- Engine indicatorsEngine indicators

    In the nineteenth and early twentieth centuries amechanical device known as an engine indicatorwas usedto produce indicator cardsor diagramsforslow-runningsteam and gasreciprocating engines.

    Theworkofhigh speed engines isstill evaluated from

    tracesofpressureobtained with electronic sensors and

    displayed on electronic monitors and through digital

    techniques.

    h-average height ofthe diagram = Net area/length

    S-spring constant

    Shv

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    Measurement ofIndicatedMeasurement ofIndicatedpowerpower Morse TestMorse Test

    Assume a 4 cylinderengineAssume a 4 cylinderengine

    All cylindersworkingAll cylindersworking

    IP=IP1+IP2+IP3+IP4 = BP(1IP=IP1+IP2+IP3+IP4 = BP(1--4 )+FP4 )+FP----------------(1)(1)I Cylinder is cutI Cylinder is cutIP2+IP3+IP4 = BP(2IP2+IP3+IP4 = BP(2--33--4)+FP4)+FP ----------------(2)(2)

    (1)(1) (2) = IP1 = BP(1(2) = IP1 = BP(1--4 )4 )-- BP(2BP(2--33--4)4)

    Similarly IP2 = BP(1Similarly IP2 = BP(1--4 )4 )-- BP(1BP(1--33--4)4)IP3 = BP(1IP3 = BP(1--4 )4 )-- BP(1BP(1--22--4)4)

    IP4 = BP(1IP4 = BP(1--4 )4 )-- BP(1BP(1--22--3)3)

    Now IP = IP1+IP2+IP3+IP4Now IP = IP1+IP2+IP3+IP4

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    Brake powerBrake power

    Availablework at crankshaftAvailablework at crankshaft

    NN Engine Speed in r.p.mEngine Speed in r.p.m TT-- TorqueTorque

    60NT2B

    T

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    Measurement of TorqueMeasurement of Torque --Prony brake dynamometerProny brake dynamometer

    W dT !

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    Measurement of TorqueMeasurement of Torque --Hydraulic dynamometerHydraulic dynamometer

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    Friction PowerFriction Power

    The brake power differsfrom theindicated power in that it accountsfor

    theeffect ofall oftheenergy losses(friction losses and energy required topump gas into and out oftheengine)

    T

    he difference between the two isreferred to as thefriction power, FP

    ThusFP = IP BP

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    Measurement of frictionMeasurement of frictionpowerpower -- Willans line methodWillans line method

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    Mechanical efficiencyMechanical efficiency

    Mechanical efficiency dependson pumping lossesMechanical efficiency dependson pumping losses(throttle position) and frictional losses (engine(throttle position) and frictional losses (enginedesign and enginespeed)design and enginespeed)

    Typical valuesfor automobileengines are:Typical valuesfor automobileengines are:90% @2000 RPM and 75% @ max speed90% @2000 RPM and 75% @ max speed

    Throttling increases pumping power and thus theThrottling increases pumping power and thus themechanical efficiency decreases, at idle themechanical efficiency decreases, at idle the

    mechanical efficiency approaches zeromechanical efficiency approaches zero

    IP

    BP=m

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    Thermal efficienciesThermal efficienciesThe thermal efficiency is defined as:

    Thermal efficiencies can be given in termsofThermal efficiencies can be given in termsof

    brakeor indicated valuesbrakeor indicated values

    Indicated thermal efficiencies are typicallyIndicated thermal efficiencies are typically50% to 60% and brake thermal efficiencies are50% to 60% and brake thermal efficiencies are

    usually about 30%usually about 30%

    Relativeefficiency compares thermal efficiencyRelativeefficiency compares thermal efficiency

    with airstandard efficiencywith airstandard efficiency

    HVfin

    th

    Qm

    W

    Q

    W=

    inputheatofrate

    outputpower= =

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    Volumetric efficiencyVolumetric efficiency

    Due to theshort cycle time at high enginespeeds andflowrestrictions airflow through the intake valveless than ideal amount ofairenters the cylinder

    Theeffectivenessofan engine to induct air into thecylinders ismeasured by the volumetric efficiency

    nV

    m=airltheoretica

    inductedairactual=

    da

    av

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    Measurement of Air flow rateMeasurement of Air flow rate

    a

    .

    a

    a

    wd

    ad

    AVm

    2gHC

    2gHCV

    !

    !

    !

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    Specific Fuel Consumption

    For transportation vehiclesfuel economy isgenerally given as kmpl

    In engine testing thefuel consumption is

    measured in termsof thefuel massflowrate

    Thespecific fuel consumption,sfc, is a measure

    ofhowefficiently thefuel supplied to theengine

    is used to produce power

    BP

    m=BSFC f

    hrkW

    g:units

    IP

    m=ISFC f

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    Useful expressionsUseful expressions