MENG4662 Chapter 2 Rankine Cycle

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    Power Plant TechnologyMENG 4662

    1

    Mohy S. MansourProfessor,

    Mechanical Engineering Department

    AUC

    Mohy Mansour - AUC

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    Power Plant

    2

    POWERCYCES

    Mohy Mansour - AUC

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    Types

    Mohy Mansour - AUC3

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    Heat Engines

    Efficiency = Power/Heat ae

    5

    Heat Added

    Mo

    hyMansour-AUC

    Heat

    Engine

    Heat Rejected

    QoA

    QoR

    Power

    Wo

    TH

    TL

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    Reversed yc!e

    Coefficient of Performance = Heat/Power

    "

    Heat Rejected

    Mo

    hyMansour-AUC

    Re#rigerator

    orHeat P$%p

    Heat A&sor&ed

    QoH

    QoL

    Power

    Wo

    TH

    TL

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    Mo

    hyMansour-AUC

    E(terna! o%&$stionEngines

    )nterna! o%&$stionEngines

    Heat Engines

    *tea% Power

    P!antRotary Reciprocating

    +asT$r&ine Petro!,

    *)-iese!,

    )

    Wan.e!Engine

    Ran.ine yc!e

    /raytonyc!e

    0ttoyc!e

    -iese!yc!e

    -$a!

    yc!e

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    Ran.ine yc!e

    MohyMans

    our-AUC

    *tea%

    +enerator/oi!er

    T$r&ine

    ondenserP$%p

    Heat Added,Qo/

    T$r&inePower

    WoT

    HeatRejected,QoP$%p Power, W

    oP

    *tea%,%o

    Water, %o

    %o

    %o

    %o

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    Ran.ine yc!e

    MohyMans

    our-AUC

    yc!e P$%p 12

    Adia&atic Reversi&!e 6 )sentropic /oi!er 23

    onstant Press$re Heat Added

    T$r&ine 34

    Adia&atic Reversi&!e 6 )sentropic ondenser 41

    onstant Press$re Heat Rejected

    T

    *

    *tea%+enerator

    /oi!er

    T$r&ine

    ondenserP$%p

    HeatAdded,Qo/

    T$r&inePower

    WoT

    P$%p Power,WoP

    *tea%,%o

    Water, %o

    %o

    %o

    %o

    HeatRejected, Qo

    1

    2

    3

    4

    P

    P/

    1

    2

    3

    4

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    Ran.ine yc!e

    yc!e Ana!ysis

    P$%p 12

    !ater enters the pump at state " as saturate li#ui an iscompresse isentropically to the operating pressure of the

    $oiler%

    &he pump follows the '''( process, then

    Q7 W7 6 %7 8 9:2; :1 < 9V22; V1

    2< =2 g9>2 >1

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    Ran.ine yc!e

    yc!e Ana!ysis

    P$%p 12

    ) = * an +inetic an potential energies are neglecte, then

    * - ! = m 8h. h" 0 1 * 1 *0?

    !P= m h" h. 0 +!

    wP= h" h. +2/+g

    &his e#uation is use to etermine h.if wP is +nown% 3therwiseh.is calculate as,

    (rom 4 5 constant 6ncompressi$le0

    wp= -4 P

    7 P

    C0 = -4 P

    . P

    "0 +2/+g

    then h.= h"1 4"p. p"0 +2/+g11

    MohyMans

    our-AUC

    *tea%+enerator

    /oi!er

    T$r&ine

    ondenserP$%p

    HeatAdded,Qo/

    T$r&inePower

    WoT

    P$%p Power,WoP

    *tea%,%o

    Water, %o

    %o

    %o

    %o

    HeatRejected, Qo1

    2

    3

    4

    =2

    1

    vdpwP

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    Ran.ine yc!e

    yc!e Ana!ysis

    /oi!er 9*tea% +enerator< 23

    !ater enters the $oiler as compresse li#ui at state . anlea4es as saturate or superheate 4apor at state 8% &he $oiler

    follows the '''( process, then

    )7- ! = m 8h8 h. 0 1 V8. V.

    .0 /. 1 g98 9.0?

    :o wor+ an +inetic an potential energies are neglecte, then

    )7- ! = m 8h8 h. 0 1 * 1 *0?

    )7= m h8 h. 0 +!

    #7= h8 h. +2/+g

    12

    MohyMans

    our-AUC

    *tea%+enerator

    /oi!er

    T$r&ine

    ondenserP$%p

    HeatAdded,Qo/

    T$r&inePower

    WoT

    P$%p Power,WoP

    *tea%,%o

    Water, %o

    %o

    %o

    %o

    HeatRejected, Qo1

    2

    3

    4

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    Ran.ine yc!e

    yc!e Ana!ysis

    T$r&ine 34

    &he superheate 4apor at state 8 enters the tur$ine, where ite;pans isentropically an prouces wor+ $y rotating the shaft

    connecte to an electric generator% &he tur$ine follows the

    '''( process, then

    ) - !&= m 8h

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    Ran.ine yc!e

    yc!e Ana!ysis

    ondenser 41

    'team is conense at constant pressure in the conenser,&he conenser follows the '''( process, then

    )C- ! = m 8h" h< 0 1 V". V