07.si thermo 8e chap 8 lecture m

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    EXERGY

    Copyright 2015 The McGraw-Hill Education. Peri!!ion re"uired #or reproduction or di!play.

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    Objectives

    E$aine the per#orance o# engineering de%ice! in light

    o# the !econd law o# therodynaic!. &e#ine exergy' which i! the a$iu u!e#ul wor( that

    could )e o)tained #ro the !y!te at a gi%en !tate in a

    !peci#ied en%ironent.

    &e#ine reversible work' which i! the a$iu u!e#ul

    wor( that can )e o)tained a! a !y!te undergoe! a

    proce!! )etween two !peci#ied !tate!.

    &e#ine the e$ergy de!truction' which i! the wa!ted wor(

    potential during a proce!! a! a re!ult o# irre%er!i)ilitie!.

    &e#ine the second-law efficiency. &e%elop the e$ergy )alance relation.

    *pply e$ergy )alance to clo!ed !y!te! and control

    %olue!.

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    EXERGY: WORK POTENTIAL OF ENERGY

    The u!e#ul wor( potential o# a

    gi%en aount o# energy at !oe!peci#ied !tate i! called exergy,

    which i! al!o called the availability

    or available energy.

    * !y!te i! !aid to )e in the dead!tatewhen it i! in therodynaic

    e"uili)riu with the en%ironent it

    i! in.

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    * system delivers the maximum possible work as it undergoes a reversible process

    from the specified initial state to the state of its environment, that is, the dead state.

    Thi! repre!ent! the useful work potential o# the !y!te at the !peci#ied !tate and i!

    called exergy.

    E$ergy repre!ent! the upper liit on the aount o# wor( a de%ice can deli%er without

    %iolating any therodynaic law!.

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    Exergy (Wor Pote!ti"#$ Associ"te%

    &it' Ki!etic "!% Pote!ti"# E!ergy

    Exergy of kinetic energy:

    Exergy of potential energy:

    The e$ergie! o# (inetic and

    potential energie! are e"ual to

    the!el%e!' and they are entirely

    a%aila)le #or wor(.

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    REER)I*LE WORK AN+ IRREER)I*ILITY

    *! a clo!ed

    !y!te e$pand!'

    !oe wor( need!

    to )e done to pu!h

    the ato!phericair out o# the way

    W!urr.

    or con!tant-%olue

    !y!te!' the total

    actual and u!e#ul

    wor(! are identicalWu=W.

    Reversib#e &or Wrev:The maximum amount of

    useful work that can be produced or the

    minimum work that needs to be supplied! as asystem undergoes a process between the

    specified initial and final states"

    The di##erence )etween

    re%er!i)le wor( and

    actual u!e#ul wor( i! theirre%er!i)ility.

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    T'e R"te o, Irreversibi#ity o, "

    -e"t E!gi!e

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    Irreversibi#ity %.ri!g t'e

    /oo#i!g o, "! Iro! *#oc

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    )E/ON+0LAW EFFI/IEN/Y

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    General de#inition o# e$ergy e##iciency4

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    )eco!%0L"& E,,icie!cy o, Resist"!ce -e"ters

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    EXERGY /-ANGE OF A )Y)TE1

    Exergy o, " Fixe% 1"ss: No!,#o&

    (or /#ose% )yste2$ Exergy

    E$ergy o# a clo!ed !y!te

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    Clo!ed !y!te

    e$ergy per unit

    a!!

    E$ergy

    change o#

    a clo!ed

    !y!te

    hen the propertie! o# a !y!te are

    not uni#or' the e$ergy o# the !y!te i!

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    Exergy o, " F#o& )tre"2: F#o& (or )tre"2$ Exergy

    E$ergy o# #low energy

    low

    e$ergy

    E$ergy change o# #low

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    Wor Pote!ti"# o,

    /o23resse% Air i! " T"!

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    Exergy /'"!ge +.ri!g "

    /o23ressio! Process

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    EXERGY TRAN)FER *Y

    -EAT4 WORK4 AN+ 1A))

    Exergy by -e"t Tr"!s,er4 QE$ergy tran!#er

    )y heat

    hen teperature i!

    not con!tant

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    Exergy Tr"!s,er by Wor4 W

    Exergy Tr"!s,er by 1"ss4 m

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    T-E +E/REA)E OF EXERGY PRIN/IPLE

    AN+ EXERGY +E)TR5/TION

    The exergy of an isolated system during a process always decreases or, in

    the limiting case of a reversible process, remains constant" 6n other word!' it

    never increa!e! and exergy is destroyed during an actual proce!!. Thi! i!

    (nown a! the%ecre"se o, exergy 3ri!ci3#e.

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    Exergy +estr.ctio!

    E$ergy de!troyed i! apositive #uantity #or

    any actual proce!! and )ecoe! $ero #or a

    re%er!i)le proce!!.

    E$ergy de!troyed repre!ent! the lo!t wor(

    potential and i! al!o called the irreversibility

    or lost work"

    Can the e$ergy change

    o# a !y!te during a

    proce!! )e negati%e7

    Con!ider heat tran!#er #ro a !y!te to

    it! !urrounding!. How do you copare

    e$ergy change! o# the !y!te and the

    !urrounding!7

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    EXERGY *ALAN/E: /LO)E+ )Y)TE1)

    The e$ergy change o#

    a !y!te during a

    proce!! i! e"ual to thedi##erence )etween the

    net e$ergy tran!#er

    through the !y!te

    )oundary and the

    e$ergy de!troyed

    within the !y!te)oundarie! a! a re!ult

    o# irre%er!i)ilitie!.

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    The heat tran!#er to

    a !y!te and wor(

    done )y the !y!te

    are ta(en to )epo!iti%e "uantitie!.

    %ki! the heat tran!#er through the )oundary at teperature Tkat location k"

    E$ergy

    de!troyed

    out!ide !y!te

    )oundarie! can

    )e accounted #or

    )y writing an

    e$ergy )alance

    on the e$tended

    !y!te that

    include! the

    !y!te and it!

    iediate

    !urrounding!.

    E$ergy

    )alance #or

    a clo!ed

    !y!te

    when heat

    tran!#er i! tothe !y!te

    and the

    wor( i! #ro

    the !y!te.

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    Ge!er"# Exergy *"#"!ce ,or /#ose% )yste2s

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    Exergy +estr.ctio! %.ri!g -e"t /o!%.ctio!

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    The e$ergy )alance applied on the extended

    system !y!te 8 iediate !urrounding!

    who!e )oundary i! at the en%ironent

    teperature o# T0gi%e!

    Exergy +estr.ctio! +.ri!g Ex3"!sio! o, )te"2

    *lternati%e ethod o# e$ergy

    de!truction calculation4

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    +ro33i!g " -ot Iro! *#oc i!to W"ter

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    Wor Pote!ti"# o, -e"t Tr"!s,er *et&ee! T&o T"!s

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    EXERGY *ALAN/E: /ONTROL OL51E)

    The rate o# e$ergy change within the

    control %olue during a proce!! i!

    e"ual to the rate o# net e$ergy tran!#er

    through the control %olue )oundary

    )y heat' wor(' and a!! #low inu! the

    rate o# e$ergy de!truction within the)oundarie! o# the control %olue.

    E * # , )t % F# ) t

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    Exergy *"#"!ce ,or )te"%y0F#o& )yste2sMo!t control %olue! encountered in practice !uch a! tur)ine!' copre!!or!' no99le!'

    di##u!er!' heat e$changer!' pipe!' and duct! operate !teadily' and thu! they e$perience

    no change! in their a!!' energy' entropy' and e$ergy content! a! well a! their %olue!.

    There#ore' d&C:;dt =0 and d'C:;dt =0 #or !uch !y!te!.

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    ,,

    Reversib#e Wor

    The e$ergy de!troyed i! 9ero only #or a re%er!i)le proce!!' and

    re%er!i)le wor( repre!ent! the a$iu wor( output #or wor(-

    producing de%ice! !uch a! tur)ine! and the iniu wor( input #orwor(-con!uing de%ice! !uch a! copre!!or!.

    The e$ergy )alance relation! pre!ented a)o%e can )e u!ed to

    deterine the re%er!i)le wor( Wre%)y !etting the e$ergy de!troyed

    e"ual to 9ero. The wor( W in that ca!e )ecoe! the re%er!i)le wor(.

    )eco!% L"& E,,icie!cy o, )te"%y F#o& +evices

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    )eco!%0L"& E,,icie!cy o, )te"%y0F#o& +evicesThe second-law efficiency o# %ariou! !teady-#low de%ice! can )e deterined #ro it!

    general de#inition' 66< E$ergy reco%ered;E$ergy e$pended. hen the change! in

    (inetic and potential energie! are negligi)le and the de%ice! are adia)atic4

    Heate$changer

    Tur)ine

    Copre!!or

    Mi$ing

    cha)er

    )eco!% #"& "!"#ysis o, " ste"2 t.rbi!e

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    )eco!%0#"& "!"#ysis o, " ste"2 t.rbi!e

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    Exergy +estroye% +.ri!g 1ixi!g

    o, F#.i% )tre"2s130 (=;in

    < 20C

    200 (Pa 0C

    10C

    150C

    /' i / % Ai )t ) t

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    /'"rgi!g " /o23resse% Air )tor"ge )yste2

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    ).22"ry

    E$ergy4 or( potential o# energy E$ergy wor( potential a!!ociated with (inetic and potential energy

    >e%er!i)le wor( and irre%er!i)ility

    ?econd-law e##iciency

    E$ergy change o# a !y!te E$ergy o# a #i$ed a!!4 @on#low or clo!ed !y!te e$ergy

    E$ergy o# a #low !trea4 low or !trea e$ergy

    E$ergy tran!#er )y heat' wor(' and a!! The decrea!e o# e$ergy principle and e$ergy de!truction

    E$ergy )alance4 Clo!ed !y!te!

    E$ergy )alance4 Control %olue! E$ergy )alance #or !teady-#low !y!te!

    >e%er!i)le wor( ?econd-law e##iciency o# !teady-#low de%ice!

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