Turbofan Engines

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    Inlet

    Ideal Turbofan Cycle

    totalm

    1 2 34 5 6

    7h

    7c

    Total thrust is generated by both cold and hot jets..

    corem&

    fanm&

    fanm&

    totalm&

    corem& corem

    &

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    Analysis of fan

    = 0,003 prp fanp = 0,003 TT fanp

    Inlet

    2 3

    a

    irm

    fanm

    corem

    Design Parameter : Stagnation pressure ratio

    ( ) ( )fanppcorefan TcmW ,00 11 +=

    Analysis of Fan

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    Analysis of Compressor

    = 0,0,004 prrp comppfanp = 0,0,004 TT comppfanp

    ( )comppfanppcorecompressor TcmW ,0,00 1 =

    Inlet

    Design Parameter : Stagnationpressure ratio

    3

    airm

    fanm

    corem

    4

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    Inlet

    airm

    fanm

    corem

    4 5

    ( )( )comppfanpccpcorefuel fTcmVHm ,0,0,00 1 +=

    ( )

    cc

    p

    comppfanpcc

    Tc

    VHf,0

    0

    ,0,0,0

    =

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    Com!ine" #as Dynami$ % &'ermo"ynami$ SSSF mo"el for &ur!ine

    Inlet

    airm

    fanm

    corem

    5 (

    ( ) ( )turbpccpcoreturbine TcfmW ,00,0 11 +=

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    ( ) ( ) ( )

    ( ) cc

    fanpcomppfanp

    turbp f ,0

    ,0,0,0

    ,0 1

    111

    1

    +

    ++=

    =

    0,0,00( TT turbpcc

    1

    ,0,0

    =

    turbpturbpr

    = 0,0,0,00( prrrp turbpcomppfanp

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    )igor of *ot +et

    = 0,0,00( TT turbpcc

    = 0,0,0,00( prrrp turbpcomppfanp

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    Com!ine" #as Dynami$ % &'ermo"ynami$ SSSF mo"el for *ot

    o--le

    ( ) ( ) hcorecore hfmhfm 0.0( 11 +=+

    hTT 0.0(=

    0(

    2

    ..2

    11 TMT hh =

    +

    ( ) ( ) ( )( )

    +

    ++=

    0

    ,0

    ,0,0,0

    ,00(1

    1111 T

    fT

    cc

    fanpcomppfanp

    cc

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    ( ) ( ) ( )( )

    +

    +

    ++

    =

    2

    .

    0

    ,0

    ,0,0,0

    ,0

    .

    2

    11

    1

    1111

    h

    cc

    fanpcomppfanp

    cc

    h

    M

    Tf

    T

    A/aila!le life at t'e inlet to t'e no--le ill "e$i"e t'e

    magnitu"e of T7h.

    == 0,0,0,00(0. prrrpp turbpcomppfanph

    =

    +

    0,0,0,0

    12

    .2

    11

    prrrMp turbpcomppfanph

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    =

    11

    2

    1

    0,0,0,0.

    p

    prrrM turbpcomppfanph

    ( ) ( ) ( )( )

    +

    +

    ++

    =

    2

    .

    0,0

    ,0

    ,0,0,0

    .

    2

    11

    1

    1111

    h

    cc

    cc

    fanpcomppfanp

    h

    M

    Tf

    T

    ( ) ( ) ( )( )

    +

    ++

    =

    1

    0,0,0,0

    0,0

    ,0

    ,0,0,0

    .

    1

    1111

    p

    prrr

    Tf

    T

    turbpcomppfanp

    cc

    cc

    fanpcomppfanp

    h

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    ==

    11

    2 0,0,0,0....

    T

    TRTRTMV turbpcomppfanphhhh

    =

    1

    1

    2 0,0,0,0

    ,0,0

    ,0

    .T

    TRTV turbpcomppfanp

    comppfanp

    cc

    h

    comppfanp

    cc

    h

    TT

    ,0,0

    ,0

    .

    =

    =

    T

    T

    TT

    turbpcomppfanp

    turbpcc

    h

    0,0,0,0

    0,0,0

    .

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    20

    211 acM

    TT +=

    =

    1

    1

    2 0,0,0,0

    ,0,0

    ,0

    .

    T

    TcV turbpcomppfanp

    comppfanp

    cc

    h

    +

    = 12

    111

    2 2,0,0,0

    ,0,0

    ,0

    et acturbpcomppfanp

    comppfanp

    cc

    hot McV

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    Com!ine" #as Dynami$ % &'ermo"ynami$ SSSF mo"el for Col"

    o--le

    ccorecore hmhm 0.03

    = =

    + 0,0

    2

    ..2

    11 TMT fanpcc

    = TTc.

    1

    0,0

    03

    1

    03

    03.

    =

    =

    prpT

    ppTT

    fanp

    c

    1

    0,0

    0,0.

    = pr pTT fanpfanpc

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    ==

    1

    1

    2 0,0...

    T

    TRTRTMV fanpccc

    =

    + 0,0

    2

    ..2

    11 TMT fanpcc

    =

    +

    T

    TM fanpc

    0

    ,0

    2

    .2

    11

    =

    11

    2 0,0

    2

    .T

    TM fanpc

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    +

    == 12

    11

    1

    2 2,0.. acfanpcccoldjet McRTMV

    +

    = 1

    2

    11

    1

    2 2,0,0,0

    ,0,0

    ,0

    acturbpcomppfanp

    comppfanp

    cc

    hotjet McV

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    #eneration of &'rust : &'e Capa$ity

    { } ( ){ }achotjetcoreaccoldjetcorecorestreamTfanstreamTtotalT

    VVfmVVm

    FFF

    ++=

    +=

    1,,,

    Propulsi/e Poer or &'rust Poer: actotalTp VFP ,=

    Spe$ifi$ &'rust !ase" on $ore flo S

    core

    totalT

    core m

    FS

    ,=

    Spe$ifi$ &'rust !ase" on total flo S

    ( )+

    =

    1

    ,

    core

    totalT

    total

    m

    FS

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    &'rust atio

    atio of spe$ifi$ t'rust of $ore stream to spe$ifi$ t'rust offan stream

    fan

    core

    fan

    fan

    core

    core

    FF

    m

    Fm

    F

    FR ==

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    &'rust Spe$ifi$ Fuel Consumption TSFC

    totalT

    fuel

    F

    mTSFC

    ,

    =

    ( ){ } { }

    ( ){ } { }accoldjetachotjet

    jetcoldcoreachotjetcore

    fuel

    VVVVf

    f

    VVmVVfm

    mTSFC

    ++=

    ++=

    1

    1

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    A/iation Appre$iation

    Propulsion ffi$ien$y

    +ett'eofPoerineti$A/aila!le

    PowerThrustpropulsion =

    ( ){ } { }[ ]2222,

    12

    accoldjetachotjetcore

    actotalTpropulsion

    VVVVfm

    VF

    ++=

    ( ){ } { }212221

    2VVVVf

    VScoldjetachotjet

    accorepropulsion

    ++=

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    Performan$e Analysis of &ur!ofan

    6perational Parameters : Flig't 7a$' num!er % Am!ient

    $on"itions

    Design )aria!les : Fan Pressure atio, 8ypass atio,

    Compressor Pressure atio, Com!ustion C'am!er

    &emperature atio

    Fan ffe$ts :

    Fan Pressure atio

    8ypass atio

    Fan Stream &'rust )s &otal &'rust

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    ac

    total

    V

    S

    ac

    core

    V

    S

    TSFC

    9tility of of Fan 8ypass atio

    r!p!fan"#.$ r!p!comp"&$

    Tma'"( Mac".7$

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    Fan ffe$ts : Fan Pressure atio: 7a$; 0.5

    r!p!comp"&$.

    =4.0Tma'"(

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    ffe$t of Flig't 7a$' um!er : Compa$tness

    Spe

    $ifi$&'rus

    t