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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