Tesis Julio Vega

Embed Size (px)

Citation preview

  • 5/23/2018 Tesis Julio Vega

    1/75

    N I V E R S I D A D N A C I O N A L D E L C E N T R O D E LP E R

    FACULTAD DE INGENIERA MECNICA

    TESIS

    PRESENTADO POR:

    JULIO ENRIQUE VEGA ANGELES

    Para optar el ttulo de Ingeniero Me!nio

    "UANCA#O $ PER

    %&'(

    OPTIMIZACION DE LOS PROCESOS DE COMBUSTION

    DEL HORNO PETROLERO 311 H 1, PARA MEJORAR SUEFICIENCIA, EN LA REFINERIA IQUITOS-PETROPERU

  • 5/23/2018 Tesis Julio Vega

    2/75

    ASESOR:

    Ing. EDMUNDO MUICO CASAS

    127

  • 5/23/2018 Tesis Julio Vega

    3/75

    DEDICATORIA

    128

  • 5/23/2018 Tesis Julio Vega

    4/75

    CONTENIDO

    ASESOR:.....................................................................................................127

    DEDICATORIA............................................................................................128

    CONTENIDO...............................................................................................129

    RESUMEN...................................................................................................131

    INTRODUCCIN.........................................................................................132

    CAPITULO I

    PLANTEAMIENTO DEL ESTUDIO..............................................................134

    CAPITULO II

    MARCO TEORICO.......................................................................................141

    CAPITULO III

    METODOLOGA...........................................................................................174

    CAPITULO IV

    PRESENTACIN DE RESULTADOS..........................................................184

    Cap!"# 1:

    DISCUSIN E INTERPRETACIN DE RESULTADOS.............................188

    129

  • 5/23/2018 Tesis Julio Vega

    5/75

    CONCLUSIONES........................................................................................19$

    RECOMENDACIONES...............................................................................197

    %I%LIOGRA&IA............................................................................................198

    130

  • 5/23/2018 Tesis Julio Vega

    6/75

    RESUMEN

    E'( )a*a+# )('p#,-( a "a' p#"/a' 0 (,-(,/a' -( a#))# (,()/#

    /#,'-()a,-# !,a 5!( (' p)(#/!pa/6, !,-a" (" /!-a-# -(" /#,'!# -(

    "#' )(/!)'#' ,# )(,#a*"(' 0 "a /#,a,a/6, 5!( ('#' /a!'a,.

    Pa)a "# /!a" '( a )(a"a-# !,a A!-#)a 0 !,a P)#p!('a pa)a "a

    #pa/6, -( "#' p)#/('#' -( /#*!'6, -(" #),# p()#"()# 311 1 -(

    "a )(;,()a I5!#'

  • 5/23/2018 Tesis Julio Vega

    7/75

    INTRODUCCIN

    E" )a*a+# -( ('' /## ('!-a,( (' p)#p#,() 0 /#,)*!) -( '

    /#,#/(,#' a-5!)-#' (, "a ;a/!"a- -( I,(,()a M(/>,/a 0 a-(>'

    -( "a' p)>//a' )(a"a-a' (, "a )(;,()a -( I5!#' ?P()#p()=.

    P#) (" /#,(,# (,)( "a &a/!"a- -( I,(,()a M(/>,/a -( "a UNCP 0

    P()#p()= ## p#) (" /!a" '( )(a"a, p)>//a' p)( p)#;('#,a"(' '( (,(

    /#,#/(,# -( "a )("a/6, -( "#' p)#/('# 5!( )(a"a (, "a /#*!'6, -("

    #),# p()#"()# 311 1 -( "a R(;,()a -( I5!#' P()#p()=. @ a*(,-#

    )('a-# (, **"#)a;a ('p(/a"a-a 5!( a;)a: D(" #a" -( (,()a

    !"a-a (, !,a )(;,()a "a pa)-a >' p#)a,( 8B a 9B -(" #a""'' -( "a a!-#)a (,()/a -(" #),# -a /## )(;()(,/a 5!( ("

    p)#/('# -( /#*!'6, ,/-( (, "a #pa/6, -( "a (;/(,/a -(" #),#.

    E'( )a*a+# -( ('' '( --( (, /,/# /ap!"#':

    En ! C"#$%&!' 1 '( p)('(,a (" P"a,(a(,# -(" ('!-# -#,-( '( -a a

    /#,#/() (" p)#*"(a -( ,('a/6, "#' #*+(#' p"a,(a-#' "a p6(''

    -( "a ,('a/6, 0 "a -((),a/6, -( "a' a)a*"(' -( ('!-# /#, '!'

    )('p(/a #p()a/#,a"a/6,.

    En ! C"#$%&!' ( '( a*"a a/()/a -( "a' /#,'-()a/#,(' (,()a"(' -("

    #),# 0 '! p)#/('# -( /#*!'6,.

    En ! C"#$%&!' 3 '( -('a))#""a "a (#-#"#a 5!( '( !'# (, "a p)('(,(

    ,('a/6, ,-/a,-# (" p# 0 ,(" -( ,('a/6, (" -'(# -( "a

    ,('a/6, "a p#*"a/6, -( ('!-# "#' ,')!(,#' -( )(/#"(//6, -(

    -a#' -'(# 0 a"-a/6, -( "#' '#' 0 (" p)#/(-(,# -( "a

    ,('a/6,.

    En ! C"#$%&!' ) '( p)('(,a "#' )('!"a-#' #*(,-#' (, "a ,('a/6,

    a-(>' -( "#' /!a-)#' /#pa)a#' /## ('a*a ;!,/#,a,-# (" #),# 0

    5!( (+#)a' '( )(a"6 (, (" p)#/('# -( /#*!'6,.

    En ! C"#$%&!' * S( )(a"a "a -'/!'6, ( ,()p)(a/6, -( )('!"a-#'

    -a,-# a /#,#/() "a /#pa)a/6, -(" p)#/('# -( /#*!'6, a,(' 0

    -('p!' -( p"a,(a) "a (+#)a (, "#' p)#/('#' -( /#*!'6, ;,a"a,-#

    /#, "a' /#,/"!'#,(' 0 )(/#(,-a/#,(' -(" p)('(,( )a*a+#

    133

  • 5/23/2018 Tesis Julio Vega

    9/75

    CAPITULO I

    PLANTEAMIENTO DEL ESTUDIO

    +.1 TEMA DE INESTIACIN

    E" p)('(,( )a*a+# -( ,('a/6, *!'/a #pa/6, -(

    p)#/('#' -( /#*!'6, -(" #),# p()#"()# 311 1 pa)a (+#)a) '!

    (;/(,/a (, "a R(;,()a IFUITOS

    *!'/a,-# p()a,(,((,( (" (+#)a(,# -( "#' p)#/('#' 0 (,

    /#,'(/!(,/a "a #pa/6, -( '!' ,'a"a/#,(' -( !/a'

    a,()a'. E, "a ,-!')a p()#"()a "#' #),#' '( /a)a/()a, p#) '()

    (5!p#' ,(,'#' (, /#,'!# -( /#*!'*"( 5!( (""#' '#'

    p)#-!/(,.

    134

  • 5/23/2018 Tesis Julio Vega

    10/75

    La (a"!a/6, ''(>/a -('-( (" p!,# -( 'a (,()/# -(

    "#' p)#/('#' -( (,()a/6, 0 -')*!/6, -( ap#) /#,'!0(, !,

    pa'# p#)a,( (, (" "#)# -( a"a' (;/(,/a' (, (" a,>"'' -( ('#'

    p)#/('#' (" *a"a,/( -( /a"#) (' "a ,;#)a/6, ;!,-a(,a" pa)a

    ap)(/a) /#))(/a(,( "#' p!,#' -( (;/(,/a 0 a/!a) (, *a'( a ".

    D('-( (" p!,# -( 'a (,()a" (, "a #p()a/6, 0

    a,(,(,# '( -(*(, ap)#(/a) a" ># "#' *(,(;/#'

    p#(,/a"(' 5!( "a (/,#"#a p!(-a #;)(/() a" #),# 'a/a,-# (,a+a

    -( "a ;"(*"-a- 5!( ('a p()a ', '!p()a) (" !*)a" -( "a'

    /#,-/#,(' -( -'(# p!('a' p#) "a ()#-,>/a -(" p)#/('# ("

    p# -( /#*!'*"( "a (/,#"#a -( "#' 5!(a-#)(' (" ''(a -(

    #,#)(# 0 /#,)#" -( "a /#*!'6, "a /#,;!)a/6, 0 ((,'6, -(

    "#' !*#' "#' a()a"(' -( /#,')!//6, 0 "a' ,#)a' 5!( )(, "a

    ,-!')a p()#"()a

    E, #-a a/-a- ,-!')a" '( a-#pa, ;#)a' 0 aa#'

    -()'#' -(p(,-(,-# -( "#' ;a/#)(' a"(' /## -(a,-a -(

    p)#-!/#' 'a';a//6, a" /"(,( "a -'p#,*"-a- -( #*(,() )(/!)'#'

    ;,a,/()#' 0 "a' p#'*"-a-(' -( #*(,/6, -( a()a p)a a"('

    /## a()a"(' (,()a )(/!)'#' !a,#' (/. P#) ('# ,#'

    (,/#,)a#' ;)(,( a !,a (p)('a 5!( -('a))#""a '!' a/-a-('

    ,-!')a"(' -( a/!()-# a "a -'p#,*"-a- -( '!' /#,-/#,('H >' a!,

    (p)('a' "#*a"a-a' /#, a0#) '6, -( '!' a/-a-('

    p)#-!/a'.

    135

  • 5/23/2018 Tesis Julio Vega

    11/75

    +.3 PROBLEMA ENERAL

    C6# #pa) "#' p)#/('#' -( /#*!'6, -(" #),# p()#"()# 311

    1 pa)a (+#)a) '! (;/(,/a (, "a )(;,()a I5!#'< PETROPERUJ

    +.) OBJETIO ENERAL

    Opa) "#' p)#/('#' -( /#*!'6, -(" #),# p()#"()# 311 1

    a)a,-# "a' /#,-/#,(' -( #p()a/6, pa)a (+#)a) '! (;/(,/a (, "a

    )(;,()a IFUITOS

  • 5/23/2018 Tesis Julio Vega

    12/75

    R(a"a) !, -a,6'/# -(" /#,'!# (,()/# (, (" '(/#)

    -)#/a)*!);()#.

    Ip"((,a) "a' )(/#(,-a/#,(' -(" -a,6'/# 0 "a' (-a' -(

    a#))# -( (,()a (, "a' ;a'(' -( p)#-!//6, )a,';#)a/6,

    -')*!/6, 0 /#()/a"a/6, -( /#*!'*"('.

    I,)#-!/) ''(a' -( /#(,()a/6, /#, (" ;, -( ("(a) "a (;/(,/a

    (, (" !'# -( /#*!'*"(' p)a)#' )(-!/) "#' /#'#' (,()/#' 0

    )(-!/) (" pa/# a*(,a" (, a5!(""a' ,'a"a/#,(' /#, /#,'!#'

    p#)a,(' -( ("(/)/-a- 0 /a"#).

    D('a))#""a) !, p)#)aa -( a#))# -( (,()a (, /##)-,a/6, /#,

    "#' (,(' )('p#,'a*"(' -(" '(/#): M,'()# -( E,()a 0 M,a'

    MEM PETROPERU COMPAAS PETROLERAS (/. C#, "#'

    ('!-#' )(a"a-#' p#) (" M,'()# -( E,()a 0 M,a' (" '(/#) -(

    a0#) /#,'!# (,()/# (' (" pa)5!( a!###) (" '# 5!( '(

    a '# ,/)((,a-# (, "#' ="#' a#' 0 /#, (""# "a -(a,-a -(

    /#*!'*"('. D(a,-a 5!( ,# 'a';a/(, "a' )(;,()a' -(" ('a-#

    a/(,-# 5!( "a p#)a/6, -( /#*!'*"(' '(a !, )!*)# -( -;/

    #*"a#)# pa)a (" ('a-# P()!a,#.

    P#) ('# "a R(;,()a -( I5!#' -('(#'a -( #;)(/() (+#)(' '()/#' 0

    '() >' /#p(a a #')a-# ,()' (, )(a"a) a!-#)a'

    (,()/a' (, '!' ,'a"a/#,(' /#, (" ;, -( (+#)a) '! (;/(,/a (,

    (" /#,'!# -( (,()a -(,)# -( '!' p)#/('#' p)#-!/#'.

    +.*.1 LOROS ALCANZADOS

    137

  • 5/23/2018 Tesis Julio Vega

    13/75

    Opa) "#' p)#/('#' -( /#*!'6, -(" #),# p()#"()# 311 1 "

    /!a" '( /#,'!6 a)a,-# "a' /#,-/#,(' -( #p()a/6, -(" #),#

    /#, "# /!a" '( (+#)# '! (;/(,/a.

    +.*.( BENEFICIOS

    C#, "a #pa/6, -( "#' p)#/('#' -( /#*!'6, -(" #),#

    p()#"()# 311 1 (-a,( "a a)a/6, -( "a' /#,-/#,(' -(

    #p()a/6, '( "#)a a!(,a) "a (;/(,/a "# /!a" ;a/"a "a

    #pa/6, -(" ;!,/#,a(,# -( #),# -a "a )(;,()a.

    +.*.3 ALCANCES

    E" p)('(,( )a*a+# /#p)(,-( "a #pa/6, -(" #),#

    p()#"()# -( "a )(;,()a I5!#' PETROPERU 5!( a*, '(

    /#,'-()a (" /#,'!# "a /a)a /)!-a (" p()6"(# /#,'!-# (" ap#)

    (-# a-(>' -( "#' a'(' (, "a /(,(a 0 p#) !"# '!

    (;/(,/a.

    +.*.) LIMITACIONES

    E" ('!-# '( (,;#/a a "a' /#,-/#,(' -( #p()a/6, -( #),#

    p()#"()# /#, 5!( /!(,a "a )(;,()a I5!#' PETROPERU /## #-#

    )a*a+# -( ,('a/6, '( !# "a/#,(' (, -a#' 5!( '#,

    /#,'-()a-#' (')a/#' pa)a "a (p)('a p()# ,# ;!( !,a "a,(

    p#)5!( '( ap)#(/6 -( #)a' a"(),aa' pa)a /!",a)

    'a';a/#)a(,( (" )a*a+# -( ,('a/6,.

    +.5 HIPTESIS

    138

  • 5/23/2018 Tesis Julio Vega

    14/75

    A" #pa) "a' /#,-/#,(' -( #p()a/6, -( "#' p)#/('#' -(

    /#*!'6, (, (" #),# p()#"()# 311 1 '( (+#)a)> '! (;/(,/a (,

    "a )(;,()a IFUITOSp-a /#*,a/6,5!/a (,)( !,p#)a-#) -( (,()a/#*!'*"( 5!/a 0!, #-a,(/#*!)(,((,/a)a-a -( "*()a)"a(, ;#)a -( "! 0 /a"#).

    La #pa/6, -("p)#/('# -( /#*!'6,

    '( (-)> (, "a/#*,a/6, 5!/a6pa.

    M(+#)a (, '!(;/(,/a.

    La (;/(,/a -( !,#),# (' (" p#)/(,a+(

    -(" /a"#) "*()a-# (, "a""aa 5!( (' a*'#)*-#p#) (" ;"!-# /a"(,a-#.

    La (;/(,/a '( (-)>(, (,#' p)--a' -(

    /a"#).

    &!(,(: ("a*#)a/6, p)#pa.

    TABLA 1.1: O#"0'n"!09"07n ; "0"!2

    139

  • 5/23/2018 Tesis Julio Vega

    15/75

    C#, "a ;,a"-a- -( /#p"(a) "a /#p)(,'6, -( "a p6('' 0 -( '!'

    a)a*"(' (, "a a*"a 1.2 '( ,/"!0( !,a ',#p'' -( "a' a)a*"(' 5!(

    -('/)*( "a a)a*"( (" ,-/a-#) (" ,')!(,# 0 "a ;!(,( -( -#,-( '(

    #a)> "a ,;#)a/6,.

    T"!" 1.(: S0n'#202 ; !"2 "0"!2

    "0"!2 In;0";' In2%&8n%' F&n%

    Opa) "a'/#,-/#,('-( "#'

    p)#/('#' -(/#*!'6,

    Combustible +O2+QSC=H2O+CO2+QC

    D6,-(:

    QSC: calor sensibledel combustible,

    QC: Calor decombustin

    Da#' -( "#',')!(,#' -(

    (--aR(')# -( Da#'

    P();#)a,/(

    -(" #),#p()#"()#

    M(+#)a (, '!(;/(,/a.

    *E (%) = (Qsr Qsc) ! "c #$C & '

    D6,-(:

    Qsc = calorsensible del

    combustible, cal!#Qsr = calor sensibledel "luido ue salede la ona radiante,cal!#

    "c = "lu-o decombustible, .!#

    PCI = Podercalorfico inferior,kcal/kg

    R(')# -( -a#''6)/#'

    R(')# -( -a#'A/!a"('

    P();#)a,/(-(" #),#p()#"()#

    &!(,(: ("a*#)a/6, p)#pa.

    140

  • 5/23/2018 Tesis Julio Vega

    16/75

    CAPITULO II

    MARCO TEORICO

    +.= ANTECEDENTES

    141

  • 5/23/2018 Tesis Julio Vega

    17/75

    S(=, Caa) 2BB7 (, '! T('' A!-#)a 0 P)#p!('a -( !, p"a, -(

    A#))# E,()/# (, (" #),# P1 3BB189 -( "a p"a,a PARSONS

    -( "a )(;,()a La L*()a- '(a"a 5!( ('( )a*a+# )('p#,-( a "a'

    p#"/a' 0 (,-(,/a' -( a#))# (,()/# -(;,-a' p#) (" pa' #-a

    ( 5!( (' p)(#/!pa/6, !,-a" (" /!-a-# -(" /#,'!# -( "#'

    )(/!)'#' ,# )(,#a*"(' 0 "a /#,a,a/6, 5!( ('#' /a!'a,. P#) "#

    (,/#,a-# '( a )(a"a-# !,a A!-#)a 0 P)#p!('a -( !, P"a,

    A#))# E,()/# (, (" #),# P

  • 5/23/2018 Tesis Julio Vega

    18/75

    D(*-# a 5!( G!a(a"a ,# (' !, pa' (, -#,-( "a' )(;,()a'

    p)#-!/a, (, )a,-(' /a,-a-(' p)#-!/#' p()#"()#' (' ,(/('a)a "a

    p#)a/6, -( '#' -( #)#' pa'(' (,/#,)>,-#'( (, G!a(a"a

    !,a )a, /a,-a- -( (),a"(' # p"a,a' -( a"a/(,a(,# -( ('#'

    p)#-!/#' "#' /!a"(' '#, a"a/(,a-#' (, a,5!(' a#';)/#'

    ()/a"(' (,(,-# '#' a,5!(' /## ;!,/6, p),/pa" ("

    a"a/(,a(,# -( )a,-(' /a,-a-(' -( p)#-!/#' p()#"()#'.

    S( -('/)*(, a*, "#' p#' -( a,5!(' a#';)/#' ()/a"(' 5!(

    '( !"a, (, "a' (),a"(' ('(,(' (, G!a(a"a /## "# '#, "#'

    a,5!(' a#';)/#' ()/a"(' -( (/# ;+# -( (/# ;"#a,( ((),#

    0 -( (/# ;"#a,( ,(),#.

    Ta*, '( a/( !,a -('/)p/6, -( "a' (--a' -( '(!)-a-

    ,-!')a" 5!( '( -(*(, #a) (, "a' (),a"(' # p"a,a' -(

    a"a/(,a(,# -( p)#-!/#' p()#"()#' -(*-# a 5!( a0 5!( #a)

    (, /!(,a 5!( '( ('a a,(+a,-# !, p)#-!/# 5!( (' ,;"aa*"( 0

    p!(-( p#,()'( (, )('# "a -a ' ,# '( !"a (" /#))(/# (5!p# -(

    p)#(//6, p()'#,a" a" !a" '( a/( (,/6, -(" p(")# 5!( p)('(,a

    "a (,()a/6, -( /#))(,( ('>/a "a' -',a' >)(a' 5!( -(*(, (,()

    "a' (),a"(' # p"a,a' -( a"a/(,a(,# '(=, "a L(0 -(

    C#()/a"a/6, -( -)#/a)*!)#' 0 '! R("a(,#. &,a"(,( '(

    p)#/(-( a -('a))#""a) "a (p"/a/6, -( "a' /,/a' /#))(/a' -(

    (-/6, -( p)#-!/# p()#"()# a"a/(,a-# (, !, a,5!( a#';)/#

    ()/a" *a'a-a' (, "a' ,#)a'

    143

  • 5/23/2018 Tesis Julio Vega

    19/75

    +.> BASES TERICAS

    CALENTADOR POR COMBUSTION.

    ?"!"2 S. M. @CHEMICAL PROCESS EQUIPMENT, SELECTION AND

    DESIN, ;40n & &n CALENTADOR POR COMBUSTIO U

    HORNO(' !, ,()/a*a-#) -( /a"#) (, (" 5!( (" ;"!-# -( p)#/('#

    ;"!0( -(,)# -( !*#' 0 '( /a"(,a p#) )a-a/6, p)#/(-(,( -( !,a

    ""aa -( /#*!'6, 0 p#) /#,(//6, -('-( "#' a'(' /a"(,(' -(

    ('a.

    D00; "! 'n' n %2 #"%2:

    S(//6, RADIANTE:-#,-( "#' !*#' ('>, (, p)('(,/a -( "a ""aa.

    E, ('a pa)( "a )a,''6, -( /a"#) (' p#) )a-a/6, (, !, 8B ap)#

    0 !, 2B p#) /#,(//6, -( "a /)/!"a/6, -( a'(' /a"(,('

    a")(-(-#) -( "#' !*#'.

    S(//6, -( CONECCION:L#' !*#' ('>, ;!()a -(" a"/a,/( -( "a

    ""aa. L#' a'(' /a"(,( '( -)(//#,a, a )a' -(" pa5!(( -( !*#'.

    E" /a"#) )a,'-# (' p#) )a-a/6, -(" CO2 0 2O (, "#' a'('

    /a"(,(' a-(>' -(" /a"#) p#) /#,(//6,. L#' !*#' ('>, (5!pa-#'

    /#, a"(a' pa)a (+#)a) "a' /#,-/#,(' -( )a,''6, -( /a"#).

    S(//6, -( BLINDAJESIELD La' p)()a' ;"a' -( !*#' -(" >)(a

    -( /#,(//6, '#, "a #,a -( COFUE SOC (, (""a "#' !*#' ,#

    (,(, a"(a' )(/*(, "a 'a /a,-a- -( /a"#) p#) a*#'

    (/a,'#'.

    144

  • 5/23/2018 Tesis Julio Vega

    20/75

    A;8

  • 5/23/2018 Tesis Julio Vega

    21/75

    &. 1.1 #),# p# /a+a

    T&'2 '09'n%"!2. C"!n%"80n%' 208#!

    L#' !*#' ('>, #,a-#' #)#,a"(,( (, "a pa)(- "a()a" >'

    "a)a (, !,a /apa 'p"(. S( p!(-(, #,a) a)a' '()(' -( !*#' (,

    pa)a"("# (, ;!,/6, -(" /a!-a". S( /#"#/a, a !,a -'a,/a -( "a pa)(-

    -( 1$ (/(' (" ->()# -( !*()a

    T&'2 '09'n%"!2. C"!n%"80n%' ;'!

    E, ('( /a'# ('>, "#' !*#' #,a-#' (, (" /(,)# /#"a-#' '#*)(

    '#p#)('.

    T&'2 %0"!2. C"!n%"80n%' ;'!

    146

  • 5/23/2018 Tesis Julio Vega

    22/75

    L#' !*#' '( /#"#/a, ()/a"(,( (, (" /(,)# -(" #),#.

    Ca"(,>,-#'( "a()a"(,(.

    TIPO CILNDRICO ERTICAL.

    C#,''(, (, !, /a'/# /",-)/# a'"a-# /#"#/a-# ()/a"(,( /#,

    p'# a'"a,( 0 (/# (,()a"(,( p"a,#. L#' 5!(a-#)(' '( '=a,

    (, (" '!("#. L#' !*#' '( '=a, ()/a"(,( /#, ;"!+# a'/(,-(,(()#' 5!( -(*(, ;+a)'( -( a,(a,# 0 -(p(,-(,

    -( "a' p)(;()(,/a' -(" -'(a-#) # -( "a p#"/a -( "a (p)('a. C##

    )("a (,()a"(' '#,:

    " T0#' ; &n0;";.A a0#) )a,';()(,/a -( /a"#) a0#) (,-(,/a a

    !"a) #),#' p# /a+a. E" !'# -( /a"(,a(,# -#*"( # 'p"(

    -(p(,-( -(" )a-# -( /#,)#" ,(/('a)#.

    T0#' ; C'8&2%0!.D(p(,-( -( "a -'p#,*"-a- 0 /#'(.

    P'n%"/ ; G2' ; "0.D(p(,-( -(" p# -( /#*!'*"( 0

    -(" -'(# -(" 5!(a-#). A (,#) p#)/(,a+( -( (/('# (+#)

    (;/(,/a -(" #),#. Va"#)(' -( )(;()(,/a '#, -( 2$ a 3B -( (/('#

    -( a)(.

    ; F!&/' ; ng$" ";0"n%.S( -(;,( /## "a )("a/6, (,)( (" /a"#)

    (,()a-# 0 (" >)(a -( "#' !*#' )a-a,(' p#) !,-a- -( (p#. A

    a0#) ;"!+# a0#) (' "a -;()(,/a -( (p()a!)a' (,)( (" ;"!-# 0 "a

    '!p();/( -(" !*#. S (" /#(;/(,( -( )a,''6, -( /a"#) -(,)# -(

    !*# (' *!(,# a0#) p!(-( '() (" ;"!+# -( (,()a )a-a,(.

    Va"#)(' p/#' -( ;"!+#' -( (,()a )a-a,( '#,:

    S00' F!&/' ; Eng$" R";0"n%, B%&-4%(

    D('"a/6, -( /)!-# 1B.BBB

  • 5/23/2018 Tesis Julio Vega

    24/75

    N8' ; 40!"2 ; %&'2 ; '&.L#' !*#' -( /#5!( '(

    !"a, pa)a )(-!/) (" ;"!+# -( /a"#) (, "a' /apa' ,;()#)(' -( "a

    '(//6, -( /#,(//6,. S#, !*#' ', a"(a' 0 '!("( '() !,a # -#'

    /apa'.

    4 E400n0" ;! 'n'. La (;/(,/a -( !, #),# (' (" p#)/(,a+( -("

    /a"#) "*()a-# (, "a ""aa 5!( (' a*'#)*-# p#) (" ;"!-# /a"(,a-#.

    L#' a"#)(' a, -( 7B a" 9$ . La ;!(,( -( "a ,(;/(,/a '#,: La'

    p)--a' -( /a"#) (, "a' pa)(-(' -(" #),# !, 2 (' a"#) a/(pa*"(

    (, (" -'(# 0 "a' p()--a' (, "#' a'(' p)#-!/-#'. La (p()a!)a

    -( 'a"-a -( "#' a'(' a -( '() -( $B a 7$ & 2$ a 4B C '!p()#) a

    "a -(" ;"!-# -( (,)a-a.

    BALANCE DE ENERA EN HORNOS

    M"n&"! ; O#"0'n2 PETROPERU (++5 @HORNOS EN LA

    INDUSTRIA PETROLERA,'(a"a 5!( (" *a"a,/( -( (,()a (' !,a

    (/("(,( ())a(,a -( -a,6'/# p()( /!a,;/a) "a (,()a

    p()--a 0 ap)#(/a-a (, /a-a '(//6, -(" #),#. Da a /#,#/() "#'

    )(,-(,#' 0 "a -')*!/6, -( ;"!+#' #a"(' -( /a"#) (, (" (-)

    (5!aa(,( "#' /a"#)(' -( ,)('# 0 'a"-a (, !, ('a-#

    ('a/#,a)# /#,(,(,((,( -(;,-# pa)a '() )(p)('(,a# -( "a

    #p()a/6, #),# (p"/a,-# /6# '( ,()( /a-a !,-a- -( (,()a

    (,)(a-a p#) (" /#*!'*"( #a,-# -( )(;()(,/a !,a (p()a!)a

    *a'( pa)a:

    149

  • 5/23/2018 Tesis Julio Vega

    25/75

    B"!"n gn"! ; ng$"

    C"!'2 ; n%";" K C"!'2 ; 2"!0;". 1

    C"!'2 ; En%";" K Q Q2 Q"2 Q" Q"% (

    C"!'2 ; S"!0;" K Qg2 Qg Q02 Q0g Q Q2 3

    D6,-(:

    F/ /a"#) -( /#*!'6, /a".

    F'/ /a"#) '(,'*"( -(" /#*!'*"( /a".

    Fa' /a"#) '(,'*"( -(" a)( '(/# /a".

    Fa /a"#) '(,'*"( -( "a !(-a- -(" a)( /a".

    Fa /a"#) '(,'*"( -(" ap#) -( a#a/6, /a".

    F'/ /a"#) '(,'*"( -(" ;"!-# 5!( ,)('a a "a #,a /#,(/a /a".

    F' /a"#) '(,'*"( -( a'(' -( /(,(a '(/#' /a".

    F /a"#) '(,'*"( -( "a !(-a- -( "#' a'(' -( /(,(a /a".

    F' /a"#) p()--# p#) ,5!(a-#' '6"-#' /a".

    F /a"#) p()--# p#) ,5!(a-#' a'(#'#' /a".

    F)/ /a"#) p()--# p#) )a-a/6, 0 /#,(//6, p#) "a' pa)(-(' /a".

    F') /a"#) '(,'*"( -(" ;"!-# 5!( 'a"( -( "a #,a )a-a,( /a".

    150

  • 5/23/2018 Tesis Julio Vega

    26/75

    C#,'-()a,-# !, #),# p/# -#,-( (" ;"!-# a /a"(,a) ,)('a p#) "a

    #,a /#,(/a 0 '!*'(/!(,((,( pa'a a "a #,a )a-a,(. E'

    p#'*"( ('a*"(/() !,a )("a/6, (,)( "#' /a"#)(' -( (,)a-a 0 'a"-a

    5!( p()a, -((),a) (" /a"#) -(" ;"!-# a "a 'a"-a -(" #),# F')

    /## )('!"a-# -( "a '!a a"(*)a/a -( "#' -(>' /a"#)('.

    % 0 C (, A

    Q2 KQ Q2 Q"2 Q" Q"% Q2 - Qg2 - Qg - Q02 - Q0g

    Q

    )

    E400n0" g!'"! ;! 'n'

    E" /a"#) ap)#(/a-# (, (" #),# E,()a =" '( -((),a

    ,-)(/a(,( /!a,;/a,-# 0 -('/#,a,-# #-a' "a' p)--a' -(

    (,()a a" /a"#) -( /#*!'6,. L#' )('!"a-#' -( ('a (#-#"#a (,

    (,()a" '#, *a'a,( /#,;a*"(' p()# (" # 0 )(p)('(,a-a- -(

    '!' )('!"a-#' -(p(,-()> -( "a /#,;a*"-a- -( (-/6, 0

    />"/!"# -( "#' -(>' /a"#)('.

    E" />"/!"# -)(/# -( F') (' (,#' /#,;a*"( ( ,-!/( a ;)(/!(,('

    ())#)('H (p"/a-# p#)5!( "a' a"a' (p()a!)a' -(" ;"!-# (,()a, !,

    (5!"*)# -,>/# -( -#' ;a'(' "5!-# W ap#) /!0a' p)#p#)/#,(' 0

    /#p#'/#,(' (,()a"(,( '#, -('/#,#/-a'.

    U,a ( -((),a-# F') (-a,( "#' a"#)#' '( a/( p#'*"(

    /a"/!"a) "a (,()a =" 0 "a (;/(,/a "#*a" -(" #),#:

    151

  • 5/23/2018 Tesis Julio Vega

    27/75

    Eng$" %0! K Q2 Q2 *

    E400n0" K Q2 Q2 4 . PCI G 1++ 5

    F&n;"8n%'2 ; !" C'8&2%07n

    M"n&"! ; O#"0'n2 PETROPERU (++5 @HORNOS EN LA

    INDUSTRIA PETROLERA,-(;,( 5!( "a /#*!'6, (' !,a ;#)a

    pa)/!"a) -( #-a/6, -#,-( '!/(-( "a )>p-a /#*,a/6, 5!/a -(

    -#' '!'a,/a' !,a (, /#,-/6, -( /#*!'*"( p#)a-#) -(

    (,()a 5!/a )(-!/#) 0 "a #)a (, /#,-/6, -( /#*!)(,(

    #-a,( (,/a)a-a -( "*()a)"a (, ;#)a -( "! 0 /a"#).

    E, !,a /#*!'6, /#*!'*"( 0 (" /#*!)(,( -('apa)(/(,

    pa)/a"(,( pa)a -a) #)(, a ,!(#' p)#-!/#' a )a' -(

    /(,#' -( )(a//#,(' 5!/a' 5!( (, !, p),/p# /#,;#)a, !,

    (5!"*)# -( /#p!('#' )a,'#)#' 0 ;,a"(' -#,-( /#('(, >##'

    )a-/a"(' "*)(' -()a-#' #)>,/#' pa)/a"(,( #-a-#' p)#-!/#'

    ;,a"(' -( /#*!'6, 0 #"/!"a' -( /#*!'*"( ,a/a' ',

    5!(a) a-(>' -( ,)6(,# 0 #(,# (/(-(,( -(" a)(.

    E, (" /a'# -( /#*!'*"(' a!;)a-#' /## (" /a)*6, ,()a" # "#'

    p()6"(#' )('-!a"(' a*, '( p)#-!/(, 6-#' -( a!;)( SO2 0

    SO3 (, p)#p#)/#,(' *a'a,( (,#)(' a "#' p)#-!/#' a0#)a)#'

    a,(' (,/#,a-#'.

    152

  • 5/23/2018 Tesis Julio Vega

    28/75

    E, #-# p)#/('# -( /#*!'6, #/!))(, )(a//#,(' 5!/a'

    (,a)/a-a' (, "#' p),/p#' ()#-,>/#' *a'a-#' (, "a

    /#,'()a/6, -( "a a()a 0 "a (,()a -#,-( "#' ("((,#' 5!/#'

    ('(,(' (, "#' )(a//#,a,(' 0 p)#-!/#' '!(, '(,-#

    (a/a(,( "#' '#' (, ,=()# 0 a'a p()# '( (,/!(,)a,

    a)!pa-#' 0 (,"aa-#' -( a,()a -',a.

    E" /a"#) "*()a-# (, "a /#*!'6, ,# (,( a '() #)a /#'a 5!( ("

    (/(-(,( )/# #*(,-# a" #-;/a) "a (')!/!)a -( "a' #"/!"a'

    (,)( "#' )(a/#' 0 p)#-!/#'.

    Agn%2 P"%00#"n%2 ; &n P'2' ; C'8&2%07n

    Pa)a 5!( #/!))a !, p)#/('# -( /#*!'6, -(*(, /#,/-)

    '!">,(a(,( )(' a(,(': " ! '8&2%0!, ! '8&n%

    !" ng$" ; "%0"07nH "a a!'(,/a -( !,# -( (""#' a/(

    p#'*"( '! -('a))#""#.

    C'8&2%0! Agn% R;&%'S( -(,#,a /#*!'*"( a #-a

    '!'a,/a /#, "a /apa/-a- -( a)-() ;>/"(,( (, p)('(,/a -(

    #(,# -(" a)( /!0a (,()a 5!/a (' !"a-a pa)a "a #*(,/6,

    -( /a"#) "! ! #)a' ;#)a' -( (,()a.

    C'8&n% Agn% OG0;"n%S!'a,/a 5!( pa)/pa a/a(,(

    (, "a /#*!'6, "#)a,-# "a #-a/6, -(" /#*!'*"(. E" #(,#

    (' (" /#*!)(,( !,()'a" -a-a '! ;a/"-a- -( ap)#'#,a(,# a

    pa)) -(" a)(.

    153

  • 5/23/2018 Tesis Julio Vega

    29/75

    Eng$" ; A%0"07n Agn% ; 0gn007n E,()a '!,')a-a

    ,a!)a" # ,(,/#,a"(,( pa)a ,/a) (" p)#/('# -( /#*!'6, 5!(

    p!(-( '() !,a /'pa ("/)/a /a"#) # a"=, (;(/# -( /#5!( #

    /#p)('6, /apa -( ""(a) !,a ;)a//6, p(5!(a -( (/"a a !,a

    (p()a!)a '!p()#) a" p!,# -( ,;"aa/6, a/(,-# "a' (/(' -(

    -(#,a,( pa)a (" (,/(,--#.

    C'n;00'n2 #"" !!" " "' &n" C'8&2%07n S'2%n0;"

    T8#"%&" ; 0n4!"8"07n

    La p)#p#)/6, a)(/#*!'*"( (' -((),a,( pa)a /#,;#)a) !,a

    (/"a p#(,/a"(,( ,;"aa*"(H p)#p#)/#,(' p(5!(a' #

    ()(a-a(,( a"a' -( a)( ,*(, (" -('a))#""# -( !,a /#*!'6,.

    E, a*#' /a'#' (p"/a-# p#)5!( (" /#*!'*"( )('!"a -(a'a-#

    )/# # -(a'a-# p#*)( pa)a a)-() /#, #(,# -(" a)(. A ('#'

    ()(#' '( "(' /#,#/( /## "(' -( ,;"aa*"-a- ,;()#) 0

    '!p()#) 0 (,()a"(,( '( ap"/a pa)a /#*!'*"(' a'(#'#'

    a!,5!( a*, p!(-( !"a)'( pa)a /#*!'*"(' "5!-#'

    ap#)a-#'.

    T8#"%&" ; 0gn007n

    154

  • 5/23/2018 Tesis Julio Vega

    30/75

    La ,;"aa*"-a- -( !, /#*!'*"( ,# a)a,a "a '#'(,*"-a- -( !,

    p)#/('# -( /#*!'6,H pa)a (""# '( p)(/'a a"/a,a) "a (p()a!)a

    -( ,/6,H '#*)( "a /!a" ('( p)#/('# '( a!# '#'(,( (,()a,-#

    /a"#) '!;/(,( (, (" (-# pa)a ;#(,a) "a /#,,!-a- -(" p)#/('#

    -( (,/(,--# a /a-a ,!(a p#)/6, -( /#*!'*"( 5!( aa '!

    ,)('# a" 5!(a-#).

    F0g. 1.3 Rg0'n2 ; '8&2%07n 2'2%n0! 0n2'2%n0!

    C'8&2%07n E2%&0'8%0" 0;"!

    E' !, p)#/('# -( /#*!'6, -(a" ,# ('( -#,-( #/!))( "a

    ,()a//6, p();(/a -( "a' #"/!"a' -( #(,# -(" a)( 0 ("

    /#*!'*"( 0 -#,-( a*#' pa)/pa, (, /a,-a-(' (')/a(,(

    p)(/'a' pa)a /#p"(a) a" 1BB "a #-a/6, -(" /#*!'*"(.

    155

  • 5/23/2018 Tesis Julio Vega

    31/75

    F0g 1.) C'8&2%07n E2%&0'8%0"

    CGHS W W140WO( W 7921N( X CO( W 12 0H(O W7921W140W N( SO(6

    C'8&2%07n C'8#!%"

    S"a) a "a /#*!'6, ('(5!#()a /#,'-()a "a /#,()'6, -("

    1BB -( /#*!'*"(H ', (*a)# a -;()(,/a -( 'a '( a"( -(

    /a,-a-(' -( a)( (, (/('# pa)a "#)a) (" '# #*+(#.

    La )!)#'-a- 5!( -('/)*( "a -(;,/6, -( !,a /#*!'6,

    /#p"(a (/"!0( "a p)('(,/a #a" -( ,5!(a-#' "# 5!( ('

    p)>//a(,( p#'*"( (, "a p)>//a ,-!')a" )a6, p#) "a /!a"

    ('a#' a/#'!*)a-#' a -(,#,a) ('a-#' !0 aa,a-#' -(

    /#,()'6, -(" /#*!'*"( # /#*!'#,(' '(!-#

  • 5/23/2018 Tesis Julio Vega

    32/75

    F0g 1.* C'8&2%07n C'8#!%"

    CGHS9 nG1)9O( 6>(1N( GCO( 1( H(O

    n1*=(1G96>)( N( n-1G1)9O( 9SO(=

    C'8&2%07n In'8#!%" 'G0;"n%

    E' (" p# >' /#=, -( /#*!'6, (, (""a "a' p)#p#)/#,(' -(

    #(,# (, "a (/"a (/(-(, "a' ,(/('a)a' pa)a 5!(a) #-# ("

    /#*!'*"( ', (*a)# "a/#,(' p)#pa' -(" p)#/('# /##

    -(;/(,( !)*!"(,/a a"a ,()a//6, /#*!'*"(< /#*!)(,( *a+a

    -( (p()a!)a -( ""aa # ,'!;/(,( (p# -( )('-(,/a p-(, "a

    /#,()'6, #a" -a,-# #)(, a "a p)('(,/a -( ,5!(a-#' /##

    #,6-# -( /a)*#,# #"", -)6(,# ( -)#/a)*!)#' "*)('.

    F0g 1.5 C'8&2%07n In'8#!%" OG0;"n%

    157

  • 5/23/2018 Tesis Julio Vega

    33/75

    1CGHS9nG1)9&(-8(O( 6>(1N( G-&-CO(

    &CO C CGHS91(-8H(O 8H(n6>(1G1)9&(-

    8(N( 9SO( n-1 6>(1G1)9&(-8(O(>

    C'8&2%07n In'8#!%" R;&%'"

    E'( p# -( /#*!'6, '( /a)a/()a p#) "a ,'!;/(,/a -( a)(

    )a6, p#) "a /!a" '( ( p(--a -( ap)#(/a) a" ># "a (,()a

    5!/a -(" /#*!'*"(. L#' p)#-!/#' -( /#*!'6, a,;('a,

    !,a a)/a-a ;#)a/6, -( #"", #,6-# -( /a)*#,# -)6(,# (

    -)#/a)*!)#' "*)('.

    F0g 1.6 C'8&2%07n In'8#!%" R;&%'"

    1CGHS9G1)9&(-8(O( 6>(1N( G-&-CO(

    &CO C CGHS91(-8H(O 8H(6>(1G1)9&(-

    8(N( SO(1+

    C

  • 5/23/2018 Tesis Julio Vega

    34/75

    E, "#' p)#/('#' -( /#*!'6, (" /a"#) -( )(a//6, a-#pa "a

    -(,#,a/6, -( /a"#) -( /#*!'6, # p#-() /a"#);/#. R(p)('(,a

    "a /a,-a- -( /a"#) "*()a-# p#) !,-a- -( a'a # #"!(, -(

    /#*!'*"( a" 5!(a)'( /#p"(a(,( a p)('6, /#,'a,( 0 !,a

    (p()a!)a -( )(;()(,/a YBZ& /#=,(,( pa)a "#' -)#/a)*!)#'.

    H K H#'; - H"%11

    H K n0.0#'; - n0.0"1(

    S( #*'()a 5!( (" ('a-# (,()/# -( !, ''(a ('>

    #*(),a-# p#) (" /a"#) -( ;#)a/6, -( "a' '!'a,/a' p)('(,('H

    p#) "# a,# (" /a"#) -( /#*!'6, (' "a -;()(,/a (,)( "a

    '!a#)a -( "a' (,()a' -( ;#)a/6, -( "#' p)#-!/#' 0 "a

    '!a#)a -( "a' (,()a' -( ;#)a/6, -( "#' )(a/a,('.

    C## /a"#) -( ;#)a/6, '( (,(,-( "a (,()a ,(/('a)a pa)a ,-!/)

    "a ;#)a/6, -( !,a '!'a,/a a pa)) -( '!' ("((,#'

    /#,'!0(,(' # a pa)) -( '!'a,/a' >' 'p"(' 0 ('a*"('.

    C#,'!0( "a p)#p(-a- ;!,-a(,a" pa)a )(p)('(,a) "a (,()a

    5!/a -( !, ("((,# # !, /#p!('# 0 -(*( ('a) )(;()-a a

    /#,-/#,(' ('>,-a) -( p)('6, 0 (p()a!)a.

    159

  • 5/23/2018 Tesis Julio Vega

    35/75

    F0g 1.= S"!%' Eng%0' & P80% L0" ! C"!' ;

    C'8&2%07n

    V P'; "!'$40' 2' C"!' ; C'8&2%07n B&%'

    E" p#-() /a"#);/# *)!# (p)('a "a /a,-a- -( /a"#) -('p)(,--# p#)

    !, /#*!'*"( (, p)!(*a' -( "a*#)a#)#. E, ('#' (,'a0#' '(

    (p"(a !,a *#*a /a"#))/a -#,-( '( /a"/!"a (" /a"#) "*()a-# (,

    "a /#*!'6, 0 p#'()#) (,;)a(,# -( "#' p)#-!/#' !,a

    (p()a!)a ('>,-a) 2$ZC # 1$YZC !'!a"(,(. A ('a /#,-/6,

    ;,a" (" ap#) -( a!a /a*a -( ('a-# -( ap#) a "5!-#

    /(-(,-# '! /a"#) "a(,( -( /#,-(,'a/6,.

    V P'; "!'$40' 0n40' C"!' ; C'8&2%07n N%'

    160

  • 5/23/2018 Tesis Julio Vega

    36/75

    E" p#-() /a"#);/# ,;()#) # ,(# )(p)('(,a (" /a"#) /(--#

    (/"!'a(,( p#) (" p)#/('# -( /#*!'6, ', /#,a*"a) ("

    /a"#) "a(,( -( /#,-(,'a/6, -(" a!a /#,'-()a-# (, (" p#-()

    /a"#);/# '!p()#).

    La -;()(,/a (,)( "#' p#-()(' /a"#);/#' '!p()#) ( ,;()#) )a-/a

    (/"!'a(,( (, (" (, (" /a"#) -( /#,-(,'a/6, -(" ap#) -( a!a

    p)#-!/-# (, "a /#*!'6,.

    PCS = PCI + m H2O . v H2O13

    D7n;:

    PCS P#-() Ca"#);/# S!p()#) %!"*. PCI P#-() Ca"#);/# I,;()#)

    %!"*.

    2O Ma'a -( a!a "*"* /#*!'*"(.

    [ 2O Ca"#) "a(,( -( ap#)a/6, %!"*.

    E, "a p)>//a ,-!')a" "#' a'(' 'a"(, p#) "a' /(,(a' -(

    (5!p#' /## #),#' /a"-()#' '(/a-#)(' ##)(' -( /#*!'6,

    ,(),a (/. a (p()a!)a' '!p()#)(' a "#' 1BB ZC 5!(-a,-# ;!()a

    /!a"5!() p#'*"-a- -( /#,-(,'a/6, -( a!a.

    +.1+ MARCO CONCEPTUAL

    +.1+.1 D40n00'n2 C'n#%&"!2

    A. HORNO

    161

  • 5/23/2018 Tesis Julio Vega

    37/75

    E,(,-(#' p#) #),#' ,-!')a"(' "#' (5!p#' # -'p#'#'

    !"a-#' (, "a ,-!')a (, "#' 5!( '( /a"(,a, "a' p(a' #

    ("((,#' /#"#/a-#' (, '! ,()#) p#) (,/a -( "a (p()a!)a

    a*(,(. E" /a"(,a(,# p!(-( '()) pa)a -;()(,('

    ap"/a/#,(' /##:

    . &!,-).

    . A*"a,-a) pa)a !,a #p()a/6, -( /#,;#)a-# p#'()#).

    . T)aa) )/a(,( pa)a pa)) -((),a-a' p)#p(-a-('.

    . R(/!*)) "a' p(a' /#, #)#' ("((,#'.

    a0 5!( '(a"a) 5!( ('a -(;,/6, apa)(,((,( /"a)a ,# "#

    (' a,# (, "a p)>//a 0a 5!( (' ;)(/!(,( !"a) #)#' ),#'

    a"(' /##:

    1. E'!;a' pa)a #),#' 5!( #p()(, a *a+a' (p()a!)a'

    ,#)a"(,( ,;()#) a $BB < YBBZC. S, (*a)# '( '!(

    -(,#,a,-# #),# -( )((,-# a !, (5!p# 5!( )(a"a ('(

    )aa(,# a!,5!( '(a a 18BZC 0 '! -'(# '(a -,/# a"

    )a-/#,a" -( !,a ('!;a. E, /a*# '( -(,#,a, ('!;a'

    C#\p() a "#' p)(/a"(,a-#)(' -( a)( -( "#' #),#' a"#' 5!(

    #p()a, a a"a' (p()a!)a'

    162

  • 5/23/2018 Tesis Julio Vega

    38/75

    2. S(/a-()#' a*, -(,#,a-#' ('!;a' -( '(/a-# /!a,-# ("

    '(/a-# '( )(a"a p#) ("(a/6, -( "a (p()a!)a. La (p()a!)a

    -( '(/a-# p!(-( '() ("(a-a 0 a-#pa)'( !,a /,/a -(

    /#,')!//6, '"a) a "a -( "#' #),#'.

    3. %a()a' -( /#5!( pa)a "a' '()(' -( #),#' (, ;#)a -(

    /("-a' !"a-#' (, "a p)#-!//6, -(" /#5!( a pa)) -(" /a)*6, -(

    !""a.

    Pa)a (a) a*](-a-(' -(,#,a)(#' (, ('( -#/!(,#

    #),#' a #-#' a5!(""#' (5!p#' # ,'a"a/#,(' 5!( #p()a, (,

    #-# # (, pa)( -(" p)#/('# a (p()a!)a '!p()#) a "a a*(,(

    )(a">,-#'( (" /a"(,a(,# '#*)( "a' p(a' -( ;#)a -)(/a

    ,-!//6, )(''(,/a p)#pa.. # -( ;#)a ,-)(/a p#)

    )a,''6, -( /a"#) -( #)#' ("((,#' !*#' )a-a,(' !#'

    -( /#*!'6,...

    B. EFICIENCIA

    E40"0", 400n0", &0;"; 2'2%n00!0;";: W& &8'2

    ;0X

    C!a)# ),#' !0 ;)(/!(,((,( !"a-#' (, "#' ->"##' 0

    -(*a(' '#*)( p#"/a '#/a" /#,;#)a, !, /#,+!,# -( /)()#' 5!(

    -a, ;!,-a(,# a "a ;#)a/6, ()(,/a 0 (a"!a/6, -( p#"/a' 0

    p)#)aa' '#/a"(': (;/a/a (;/(,/a (5!-a- 0 '#'(,*"-a-.

    163

  • 5/23/2018 Tesis Julio Vega

    39/75

    E'#' /!a)# /)()#' )(p)('(,a, !, /#,+!,# ,# -( pa!a' 0

    ,#)a' pa)a (" a,>"'' 0 ;#)a/6, -( p#"/a' 0 p)#)aa'. O)#'

    /)()#' "(' p#-)a, /#p"((,a). N# #*'a,( ('#' /!a)#'

    /#,'!0(, !, /#,+!,# p)#)a)# -( /)()#' p#) )("a/#,a)'( /#, "a

    'a )("(a,/a ( pa/#' -( "a' p#"/a' 0 p)#)aa' 0 p#) a*()

    "#)a-# !, !'# /#,(,/#,a" 0 /#=, (, (" -a"## '#*)( p#"/a' 0

    p)#)aa'. R(;"(+a, !, /#,+!,# pa)/!"a)(,( )("(a,( pa)a ("

    a,>"'' -( ,/aa' ap#0a-a' /#, -,()#' p=*"/#' p!(' )(;"(+a,

    a"!,#' a'p(/#' -(" )#" -( E'a-# (, "a p)##/6, -( (5!-a- 0 -(

    "a' -(a,-a' '#*)( "a a,()a (, 5!( '( !'a, "#' )(/!)'#' ;'/a"('

    (;/(,/a 0 (5!-a-. E'#' /!a)# ),#' ;#)a, pa)( -( "a +()a

    /#-a,a -( "#' 5!( pa)/pa, (, "a ;#)a/6, "a ('6, 0 "a

    (a"!a/6, -( p#"/a' 0 p)#)aa'.

    N# #*'a,( ('#' /!a)# /)()#' a, ;)(/!(,((,( !"a-#'

    pa)(/(, ;#)a) pa)( -( !, "(,!a+( a, /#=, 5!( '( a !("#

    a*!#. S#, ),#' 5!( '( !"a, -( !/a' a,()a'H '!'

    -(;,/#,(' (,()a"(' ,/#)p#)a, /#,/(p#' a*!#' -( a" a,()a

    5!( '( p)('a, pa)a ="p"(' ,()p)(a/#,('. La ;a"a -( !,a

    -(;,/6, =,/a -( /a-a /)()# p!(-( /#,)*!) a /#,;!'#,(' a"#'

    (,(,-(,#' 0 )(/#(,-a/#,(' ())6,(a' (, "a -'/!'6, -(

    p#"/a'.

    164

  • 5/23/2018 Tesis Julio Vega

    40/75

    A /#,,!a/6, '( -'/!)>, -( a,()a )('!-a -()'a'

    ,()p)(a/#,(' -( ('#' /)()#'. D#,-( *(, 5!')a#' p)#p#,()

    !,a =,/a -(;,/6, -( "#' /)()#' -/a -(;,/6, '()a !,a ()a

    p)#p!('a (,)( !/a' #)a' 5!( a, (,-# a,('. E, '! "!a)

    )aa#' -( ap#)a) !,a )(/#p"a/6, -( -()'#' (,(,-(,#' -(

    /a-a ),# /#, (" ;, -( ap#)a) '(,'*"-a- /#, )('p(/# a "a'

    )(;()(,/a' 5!( -;()(,(' ,--!#' p!(-(, ('a) a/(,-# a" !'a)

    !, '# ),#. A' '( ('p()a (,()a) !,a a0#) '(,'*"-a- /#,

    )('p(/# a "a' -()'a' a,()a' (, 5!( /a-a /)()# p!(-( '()

    (,(,-(). C#,'-()a#' 5!( ('a '(,'*"-a- p!(-( (+#)a)

    ,!(')#' a,>"'' 0 ->"##'.

    E40"0"

    La pa"a*)a (;/a/a (,( -(" La, (;;/()( 5!( a '! ( ('

    -()a-# -( ;a/()( 5!( ',;/a a/() # "#)a). E" D//#,a)# -( "a

    L(,!a E'pa#"a -( "a R(a" A/a-(a E'pa#"a '(a"a 5!( (;/a/a

    ',;/a )!- a/-a- ;!()a 0 p#-() pa)a #*)a).

    Ma)a M#",() ,()p)(a ('a -(;,/6, 0 '!()( 5!( (;/a/a '(

    ap"/a a "a' /#'a' # p()'#,a' 5!( p!(-(, p)#-!/) (" (;(/# # p)('a)

    (" '()/# a 5!( ('>, -(',a-a'. A"# (' (;/a ' "#)a # a/( "#

    5!( -(*a a/(). L#' -//#,a)#' -(" -#a ,"(' ,-/a,

    -(;,/#,(' '((+a,('. P#) (+(p"# (" ^(*'()_' I,(),a#,a"

    -(;,( (;/a/a

    (;;/a/0 /## (" p#-() -( p)#-!/) "#' )('!"a-#' ('p()a-#'1.

    165

  • 5/23/2018 Tesis Julio Vega

    41/75

    Ap"/a,-# ('a' -(;,/#,(' a "a' p#"/a' 0 p)#)aa' '#/a"(' "a

    (;/a/a -( !,a p#"/a # p)#)aa p#-)a (,(,-()'( /## (" )a-#

    (, 5!( '( a"/a,a, "#' #*+(#' p)#p!('#'.

    U, p)#)aa (' (;/a ' "#)a "#' #*+(#' pa)a 5!( '( -'(a)a.

    U,a #)a,a/6, (;/a /!p"( /a*a"(,( "a '6, 5!( "( -a )a6,

    -( '().

    Pa)a "#)a) #a" /"a)-a- '#*)( "a (;/a/a a/( ;a"a p)(/'a) "# 5!(

    /#,'!0( !, #*+(#. Pa)/!"a)(,( ,(/('a#' ('p!"a) 5!(

    !, #*+(# *(, -(;,-# (p"/a "# 5!( '( *!'/a (,()a) ,/"!0(,-#

    "a /a"-a- -( "# 5!( '( p)#p#,(. A''# !, #*+(# -(*( -("a)

    (" (p# (, 5!( '( ('p()a (,()a) !, -((),a-# (;(/# #

    p)#-!/#. P#) a,# !,a ,/aa )('!"a (;/a ' /!p"( "#'

    #*+(#' ('p()a-#' (, (" (p# p)('# 0 /#, "a /a"-a- ('p()a-a.

    1 T)a-!//6, -( "a a!#)a.

    2 P#) a,# "a ('p(/;/a/6, -( #*+(#' 5!( '( !"a)>, pa)a

    a,a"a) 0 +!a) "a (;/a/a ,(/('a)a(,( -(*( (p"/a) "a /a"-a-

    ('p()a-a 0 (" (p# p)('# pa)a "# 5!( '( p)#p#,( "#)a).

    Ca*( -('a/a) 5!( "a (;/a/a /#,(p"a (" /!p"(,# -( #*+(#'

    ', p#)a) (" /#'# # (" !'# -( )(/!)'#'. U,a -((),a-a ,/aa

    (' >' # (,#' (;/a '(=, (" )a-# (, 5!( /!p"( '!' #*+(#'

    (,(,-# (, /!(,a "a /a"-a- 0 "a #p#)!,-a- 0 ', (,() (, /!(,a

    "#' /#'#'.

    166

  • 5/23/2018 Tesis Julio Vega

    42/75

    D( "#' /!a)# /)()#' p)#p!('#' pa)(/( (') a0#) /#,'(,'# #

    a0#) !,;#)-a- /#, )('p(/# a" ',;/a-# -( (;/a/a. A "# "a)#

    -( -(/#/# ('(' (, 1997 0 1998 p(-#' a -()'#' )!p#' -(

    p)#;('#,a"(' /#p)#(-#' (, (" -'(# 0 ()(,/a -( p#"/a' 0

    p)#)aa' '#/a"(' -(;,) (;/a/a (;/(,/a (5!-a- 0

    '#'(,*"-a-. R(/#p"a#' 2Y2 )('p!('a'. D( ('a' 221 (" 84

    a, ,-/a-# 5!( "a (;/a/a /#))('p#,-( a" /!p"(,# -( (a' 0

    #*+(#' # a "a 'a';a//6, -( "a ,(/('-a- 5!( #6 (" -'(# 0

    -('a))#""# -( "a ,/aa ', p#)a) "#' /#'#' 0 (" !'# -( )(/!)'#'.

    S( p)('(,a, ="p"(' ()'#,(' -( "a -(;,/6, p!(' !/#'

    (p"/a, 5!( "a (;/a/a p"/a /!p") #*+(#' (,(,-# (, /!(,a

    /a"-a- 0# (p# 0 #)#' -(+a, ('a' -(,'#,(' p"/a'. U, 8

    -( "#' 5!( )('p#,-(, a'#/a (5!#/a-a(,( "a (;/a/a /#, a"=,

    +!/# '#*)( /#'#' # (" !'# -( )(/!)'#'. U, 8 a-/#,a" -(;,( "a

    (;/a/a -( #)a a,()a 5!( ;)(/!(,((,( ,/#)p#)a "a -(a 5!( "a

    (;/a/a '( a'#/a /#, "a (,()a/6, -( )('!"a-#' /#,/)(#' # /#, ("

    ap#)( a (+#)a' (, (" *(,('a) '#/a".

    E400n0"

    167

  • 5/23/2018 Tesis Julio Vega

    43/75

    La -(;,/6, 0 "a ,()p)(a/6, -( "a (;/(,/a )('!"a, >'

    /#p"(+a' 5!( (, (" /a'# -( (;/a/a. a0 !/a' >'

    ,()p)(a/#,(' -(" /#,/(p# -( (;/(,/a 0 a"=, )a-# -( p)(+!/#

    (, /#,)a -(" /#,/(p#. E, (" (+()//# -(" INDES '#*)( "a -(;,/6,

    -( "#' /!a)# /)()#' 23$ p()'#,a' -( "#' 2Y2 pa)/pa,('

    /#,/-()#, (, !,a -(;,/6, (,()a" pa)a "a (;/a/a. A" '#

    (p# "a -(;,/6, -( (;/(,/a 5!( >' /#=,(,( ;!( /a-a

    '#"# /#,6 /#, 1B9 )('p!('a'. E'a ;a"a -( /#,'(,'# '#*)( "a

    -(;,/6, -( (;/(,/a '( )(p)#-!/( (, "#' -//#,a)#'. E"

    D//#,a)# -( "a R(a" A/a-(a E'pa#"a ,-/a 5!( "a (;/(,/a ('

    )!- 0 ;a/!"a- pa)a "#)a) !, (;(/# -((),a-#. E'a ;!(,(

    p())a p(,'a) 5!( "a (;/a/a 0 "a (;/(,/a '(a, ',6,a'. Ma)a

    M#",() p)('(,a !,a -(;,/6, /#, !,a a "()a(,( -;()(,(

    5!( pa)(/( '!()) 5!( "a (;/(,/a /a";/a "a a,()a (, 5!( "#'

    #*+(#' '(a, )(a"a-#'H '(a"a 5!( "a (;/(,/a '( ap"/a a "# 5!(

    )(a"a /!p"-a(,( "a ;!,/6, a 5!( ('> -(',a-#.8 E"

    D//#,a)# La)#!''( (p"/a(,( ,/"!0( (, '! -(;,/6, a,# "#'

    ,'!#' !"a-#' /## "#' )('!"a-#' "#)a-#'H '(a"a 5!( "a

    (;/(,/a /#,''( (, "a )!- pa)a "#)a) a"#. R("a/6, ('(,(

    (,)( (" )a*a+# -('a))#""a-# (" (p# ,()-# "a ,()'6, )(a"a-a

    (, a/() a"# 0 (" )('!"a-# "#)a-#. P)#-!/-a-. E" ^(*'()_'

    '!()( 5!( a"# (' (;/(,( ' '( /a)a/()a p#) "a /apa/-a- pa)a

    '("(//#,a) 0 !'a) "#' (-#' >' (;(/#' 0 -( (,#) -('p()-/#

    /#, (" ;, -( ""(a) a /a*# !,a a)(a # "#)a) !, p)#p6'#.

    168

  • 5/23/2018 Tesis Julio Vega

    44/75

    M/a(" S/)(, 1991 '!()( 5!( ' -(;,#' "a (;/a/a (,

    ),#' -(" )a-# -( /!p"(,# -( !,#' #*+(#' p)(-(;,-#'

    )('!"a '() !, ()# ',6,# -( # 0 )(/#,#/( 5!( '( p!(-(

    /#,')!) !,a (--a 5!( '( )(;()a a" "#)# -( a"!, )('!"a-# 5!(

    p!(-( # ,# a*() '-# pa)( -( "#' #*+(#' ,/a"(' -( "a ,/aa.

    S/)(, a,"#

  • 5/23/2018 Tesis Julio Vega

    45/75

    E, "a' ap"/a/#,(' -( (;/(,/a a" a,>"'' -( p#"/a' "a (;/(,/a

    p/a(,( '( a'#/a /#, !,a )("a/6, (,)( (-#' 0 ;,('. S(

    p)#p#,( 5!( !, p)#)aa (' (;/(,( ' /!p"( '!' #*+(#' a"

    (,#) /#'# p#'*"(. E),('# C#(, 0 R#"a,-# &)a,/# 1983 -(;,(,

    "a (;/(,/a /## "a )("a/6, (,)( /#'#' 0 p)#-!/#' #*(,-#'.

    Ma)"a,( L#/((- 0 E)/ a,!'( 1994 '(a"a, 5!( `!,

    ''(a (;/(,( #*(,( >' p)#-!/#' /#, !, -((),a-# /#,+!,#

    -( )(/!)'#' ,'!#' # "#)a ,("(' /#pa)a*"(' -( p)#-!/#' /#,

    (,#' ,'!#' a,(,(,-# a "# -(>' !a".

    C#,;#)( a ('a' -(;,/#,(' ,#'#)#' (,(,-(#' "a (;/(,/a

    /## (" )a-# (, 5!( '( /!p"(, "#' #*+(#' -( !,a ,/aa a"

    (,#) /#'# p#'*"(. E" ,# /!p") /a*a"(,( "#' #*+(#' 0# ("

    -('p()-/# -( )(/!)'#' # ,'!#' a/(, 5!( "a ,/aa )('!"a

    ,(;/(,( # (,#' (;/(,(.

    La )(;()(,/a a /#'#' (, "a -(;,/6, -( (;/(,/a /#))('p#,-( a

    !, (,(,-(,# ap"# -(" /#,/(p#. N# #-# /#'# ,(/('a)a(,(

    (,( 5!( a'#/a)'( /#, !, -('(*#"'# -( -,()#. N# #-# /#'#

    /#))('p#,-( -)(/a(,( a !,a (p)('6, (, !,-a-(' #,(a)a'.

    U, /#'# )(p)('(,a (" -('a'( # (" 'a/);/# -( !, )(/!)'# a,*"(

    # ,a,*"(. P#) a,# p#-)a )(;())'( a" !'# 'a/);/# -( (p# a"

    -('a'( # -(()#)# -( !, )(/!)'# a*(,a" a!,5!( '( ,# '(a

    )a,'a*"( # a" -(()#)# # 'a/);/# -( #)# *(, ,# a,*"( /## ("

    /apa" '#/a" "a '#"-a)-a- /!-a-a,a # "a /#,;a,a (,)( #)#'.

    170

  • 5/23/2018 Tesis Julio Vega

    46/75

    A" p)(!,a) a 2Y2 p)#;('#,a"(' pa)/pa,(' (, "#' /!)'#' INDES

    /6# -(;,)a, !, p)#)aa (;/(,( 7B ,-/a, 5!( (' (;/(,( '

    /!p"( '!' #*+(#' /#, !, !'# a-(/!a-# )a/#,a" ! 6p# -(

    )(/!)'#'H 39 ,-/a, 5!( (' (;/(,( ' /!p"( '!' #*+(#'H

    3Y '(a"a, 5!( !, p)#)aa (' (;/(,( ' a,(+a '!' )(/!)'#'

    a-(/!a-a(,( # )a/#,a"(,(H 19 a;)a, 5!( !, p)#)aa 5!(

    /!p"( '!' #*+(#' /#, (" p)('!p!('# p)#)aa-# )('!"a (;/(,(H

    17 /#,'-()a, 5!( (' (;/(,( ' '( (+(/!a (" p"a, -( )a*a+# (, "a

    ;#)a 5!( ;!( p)('#H 0 9 p()'#,a' '!()(, 5!( (" p)#)aa ('

    (;/(,( ' '( /!p"( (, (" (,#) (p# p#'*"(.

    Eficiencia tcnica ! eficiencia econ"mica

    Pa)a ap#)a) a !,a a0#) /"a)-a- -( (),#"#a /#,(,(

    -;()(,/a) "a (;/(,/a /,/a 0 "a (;/(,/a (/#,6/a. La (;/(,/a

    /,/a (a,a "a )("a/6, (,)( (" p)#-!/# # )('!"a-# (,()a-# 0

    "a /a,-a- -( !, -((),a-# ,'!# !"a-# (, '! (,()a/6,.

    A"!,a' -(;,/#,(' '(a"a, 5!( "a (;/(,/a /,/a -( "a )("a/6,

    (,)( (" p)#-!/# 0 "a (,()a !"a-a (, '! p)#-!//6,. E, /()a'

    ap"/a/#,(' "a (,()a ')( /## !,-a- -( (-/6, 5!( p()(

    ('a) (" /#'# (, !,-a-(' -( (,()a -( -()'a' /,/a' #

    (/,#"#a' -( p)#-!//6,. D;()(,(' ,'!#' '( -(, (, a"!,a

    !,-a- (,()/a pa)a (p)('a) !, /#'# #a" -( "#)a) (" )('!"a-#.

    171

  • 5/23/2018 Tesis Julio Vega

    47/75

    E, "a p)>//a -( a,>"'' -( p#"/a' '#/a"(' "a (;/(,/a /,/a

    '()a !,a (-/6, /!0a' !,-a-(' -( (--a '#, !,-a- -(

    p)#-!/# # "#)# p#) !,-a- -( ,'!#. E+(p"#' p#-)a, '() ,#'

    a/!,a-#' p#) #)a

  • 5/23/2018 Tesis Julio Vega

    48/75

    La (;/(,/a /,/a (-)a (" pa/# 5!( (,( /a-a p)#p!('a

    '#*)( (" ;)a/a'# ('/#"a) 0 (" !'# -(" ,'!# )("(a,( (p# -("

    a(')# (p# -( /#p!a-#)a (#' 0 a()a"(' (/.. A"

    /#pa)a) (" !'# -( !#)(' pa)(' /a'# (, 5!( "#' ('!-a,(' #a,

    !, pap(" (, ap#0a) (" ap)(,-a+( -( '!' /#pa()#' 0 -( pa'#

    (+#)a, '! p)#p# ap)(,-a+( 0 !#)a"(' /#p!a)a-#' '( p#-)a

    (,() 5!( (" !'# -( !#)(' pa)(' )('!"a '() >' (;/(,( 5!( (" !'#

    -( "#' !#)a"(' /#p!a)a-#' (, (" !'# -( (p# -(

    /#p!a-#)a' 0 (#' p()# !0 -(a,-a,( (,#' (;/(,( (, ("

    !'# -(" (p# -(" a(')#. E" !'# -( !,-a-(' ;'/a' -( "#' ,'!#'

    pa)a "a (p)('6, -( (;/(,/a ,#' "a "a /apa/-a- -( /#,/"!) /!>"

    p)#/('# (' (, ),#' (,()a"(' >' (;/(,(.

    (.1+.( D40n00'n2 '#"0'n"!2

    E" p)('(,( )a*a+# -( ,('a/6, '( /#p#,( -( !,a

    a)a*"( -(p(,-(,( 5!( (' "a E;/(,/a -(" #),# 0 "a

    a)a*"( ,-(p(,-(,( #pa/6, -(" p)#/('# -(

    /#*!'6,.

    173

  • 5/23/2018 Tesis Julio Vega

    49/75

    CAPITULO III

    METODOLOA

    +.1 INTRODUCCIN

    La (#-#"#a -( "a ('' (' "a D('/)p/6, (p"/a/6, 0

    +!';/a/6, -( "#' #-#' ap"a, 19Y4. E" p)('(,( /ap!"#

    -('/)*( "a (#-#"#a 5!( '( !"6 pa)a "a )(/#"(//6,

    p)#/('a(,# a,>"'' ( ,()p)(a/6, -( "a ,;#)a/6, 0 "#' -a#'

    ,!)/#' (, (" -('a))#""# -( ('( ('!-#.

    +.( TIPO NIEL DE INESTIACION

    174

  • 5/23/2018 Tesis Julio Vega

    50/75

    E" p# -( ,('a/6, 5!( '( ""(a)> a/a*# '()> -( %0#'

    %n'!7g0" 0a 5!( (,( /## p)#p6'# ap"/a) (" /#,#/(,#

    /(,;/# pa)a '#"!/#,a) "#' -;()(,(' p)#*"(a' 5!( *(,(;/(, a "a

    '#/(-a- 0 -( !, n0! "#!0"%0',0a 5!( /#, ('( )a*a+# *!'/a#'

    ap"/a) "#' )('!"a-#' -( "a ,('a/6, (p()(,a" (, -'(a)

    (/,#"#a' -( ap"/a/6, ,(-aa pa)a "a '#"!/6, -( p)#*"(a'.

    +.(.1 INESTIACIN CORRELACIONAL

    E' -( /a)>/() /#))("a/#,a" -(*-# a 5!( (,( "a ;,a"-a- -(

    /#,#/() "a )("a/6, # )a-# -( a'#/a/6, 5!( ('(, (, ,!(')a'

    a)a*"(' (, ('!-#. Pa)a (a"!a) (" )a-# -( )("a/6, -( ,!(')a'

    a)a*"(' p)()a(,( (-)(#' 0 )(/#()(#' ,;#)a/6, -(

    ,!(')a' a)a*"(' VD: I,/)((,# -( "a P)#-!/-a- 0 VI:

    Opa/6, -( "#' /#'#' -( #p()a/6, 0 a,(,(,# 5!(

    p)('!,a(,( -(/#' 5!( ('>, )("a/#,a-a'.

    P#'()#) a (""# "a' /!a,;/a)(#' 0 a,a"a)(#' '!

    ,/!"a/6, a" /#))("a/6, "a '!'(,a)(#' (, !,a p6(''

    '#(-a a p)!(*a.

    +.3 DISEO DE LA INESTIACIN

    175

  • 5/23/2018 Tesis Julio Vega

    51/75

    Pa)a "a '("(//6, -(" -'(# -( ,('a/6, ( *a' (, "a

    p#"#a -( C"8#!! S%"n! 1>55 '(=, (" /#,/(p# -( "#'

    '#' "a ,('a/6, a )(a"a) /#))('p#,-( a !, D02Y' P

    G#08n%"! 'n &n 2'!' g' -a-# 5!( a" =,/# )!p# "( ap"/a)(

    !,a p)!(*a p)(a a" )aa(,# (p()(,a" E;/(,/a -(" #),#

    a,(' -(" )aa(,# p#'()#) a (""# "( a-,')a) (" )aa(,#

    (p()(,a" P)#/('# -( /#*!'6, -(" #),# pa)a ;,a"(,(

    ap"/a)"( !,a p)!(*a p#'()#) a" )aa(,# E;/(,/a -(" #),#

    -('p!' -(" )aa(,#

    E" -'(# '( -a)aa -( "a '!(,( a,()a:

    D6,-(:

    : E;/(,/a A/!a"

    Q : E;/(,/a E'p()a-a

    O1 : Ca"/!"# a/!a" -( "a E;/(,/a

    O2 : N!(# />"/!"# -( "a E;/(,/a

    +.) POBLACIN MUESTRA DE LA INESTIACIN

    176

  • 5/23/2018 Tesis Julio Vega

    52/75

    Pa)a (;(/#' -(" p)('(,( ('!-# '( /#,'-()a)>, "a'

    -(;,/#,(' -( p#*"a/6, 0 !(')a ('a*"(/-a' p#) ?EIERS1989

    (" /!a" a;)a 5!( "a p#*"a/6, @E2 ! %'%"! ; !8n%'2 2' !

    &"! &8'2 " &n" 0n4n0" "2

  • 5/23/2018 Tesis Julio Vega

    53/75

    F0"2 ; T""/' /#, "a a0!-a -( ('( ,')!(,# p#-)(#'

    #)-(,a) 0 /"a';/a) "#' -a#' /#,'!"a-#' "a' ;/a' a !'a) (, "a

    ,('a/6, '()>,: &/a %*"#)>;/a 0 "a ;/a -( T)a'/)p/6, #

    (!a". C#, a0!-a -( ('a' ;/a' p#-)(#' )(/#"(/a) "#' -a#'

    -( "#' /#'#' '6)/#' -( #p()a/6, -( #),# a*, p#-)(#'

    )(/#"(/a) -a#' # ,;#)a/6, -( "#' a,!a"(' 0 /a>"##'

    '!,')a-#' p#) "#' p)#((-#)(' "a )('6, -( (#' -(

    /#,'!"a ,;#)(' 0 a"!,a' ,#)a' p()!a,a' /#, (" ;, -(

    /#p"((,a) "#' ;!,-a(,#' (6)/#' -( "a p)('(,(

    ,('a/6,.

    F0"2 ; O2"07n '/"2 ; g02%'2 /#, a0!-a -( ('(

    ,')!(,# p#-)(#' )(')a) #-# "# 5!( #/!))( (, !,a

    '!a/6, )(a" /"a';/a,-# 0 /#,',a,-# "#' a/#,(/(,#'

    p(),(,(' -( a/!()-# /#, a"=, ('5!(a p)('# 0 '(=, ("

    p)#*"(a 5!( '( ('!-a /#, ('( p# -( ,')!(,#

    )(/#"(/a)(#' "#' -a#' -(" ('!-# -( (p# 5!( '( )(a"a)a (,

    /ap#.

    +.* OPERATIIZACIN DE ARIABLES

    T"!" 3.(: O#"0'n"!09"07n ; !" "0"! ;#n;0n%

    "0"! D#n;0n%: E;/(,/a -(" #),#

    D40n007n

    'n#%&"!D08n207n In;0";'

    La (;/(,/a -( !,

    #),# (' ("

    E;/(,/a -("

    P)#/('# (,

    *E (%) = (Qsr Qsc) ! "c #$C & '((

    D6,-(:

    178

  • 5/23/2018 Tesis Julio Vega

    54/75

    p#)/(,a+( -("

    /a"#) "*()a-# (, "a

    ""aa 5!( ('

    a*'#)*-# p#) ("

    ;"!-# /a"(,a-#.

    Qsc = calor sensible del combustible,

    cal!#

    Qsr = calor sensible del "luido ue sale de

    la ona radiante, cal!#

    "c = "lu-o de combustible, .!#

    $C = $oder calor/"ico in"erior, cal!.#

    &!(,(: #+a -( )(')# #+a -( /(/ "' #+a -( ,'p(//6, -(" (5!p#

    T"!" 3.3: O#"0'n"!09"07n ; !" "0"! 0n;#n;0n%

    "0"! In;#n;0n%:P)#/('# -( /#*!'6,

    D40n007n 'n#%&"! D08n207n In;0";'

    E' !,a ;#)a -(

    #-a/6, -#,-( '!/(-(

    "a )>p-a /#*,a/6,

    5!/a (,)( !,

    p#)a-#) -( (,()a

    /#*!'*"( 5!/a 0

    !, #-a,(

    /#*!)(,((,/a)a-a -( "*()a)"a (,

    ;#)a -( "! 0 /a"#).

    C#*!'6,

    T)/a

    Combustible + O2+QSC= H2O+CO2+QC

    D6,-(:

    QSC: calor sensible del combustible,

    QC: Calor de combustin

    &!(,(: E"a*#)a/6, p)#pa

    179

  • 5/23/2018 Tesis Julio Vega

    55/75

    +.5 DISEO INSTRUMENTOS DE RECOLECCION DE DATOS

    A,(' -( -'(a) "#' ,')!(,#' -( )(/#"(//6, -( -a#'

    -(;,)(#' a "#' '!+(#' a 5!(,(' '( "(' ap"/a)> "#' ,')!(,#'.

    La !,-a- a (-) (, "a a)a*"( ,-(p(,-(,( "#' p)#/('#' -(

    /#*!'6, -(" #),# p()#"()# 311 1 "#' /!a"(' '( /#,'(!)>, /#,

    "a ,;#)a/6, p)#p#)/#,a-a R(;,()a I5!#' P()#p()=.

    La !,-a- 5!( ;!( (--a (' "a a)a*"( -(p(,-(,( 5!( (' "a

    (+#)a -( "a (;/(,/a -(" #),#.

    +.5.1 INSTRUMENTOS DE ANLISIS DOCUMENTAL

    Pa)a #*(,() (" a)/# (6)/# 0 "#' -a#' -( "#' p)#/('#' -(

    /#*!'6, 0 p#-() #*'()a) "a (;/(,/a -(" #),# '( a !"a-#

    -#' p#' -( ;/a' "a ;/a **"#)>;/a 0 "a ;/a -( )a'/)p/6, #

    (!a" "a' /!a"(' '#, a" /## '( !(')a, (, "a' '!(,(' ;!)a'.

    &IGURA 3.1: &/a %*"#)>;/a

    180

    AUTOR

    TITULO @ SU%TITULO

    EDICIN

    LUGAR DE EDICIN

    EDITORIAL

    AO DE EDICIN NZ PAGINAS

    LOCALIKACIN DE LA O%RA

  • 5/23/2018 Tesis Julio Vega

    56/75

    181

  • 5/23/2018 Tesis Julio Vega

    57/75

    &IGURA 3.2: &/a -( T)a,'/)p/6, # T(!a"

    +.6 ALIDACIN DE LOS INSTRUMENTOS

    La a"-( -( "#' ,')!(,#' '( )(;()( a" )a-# (, 5!( !,

    ,')!(,# )(a"(,( -( "a a)a*"( 5!( p)((,-( (-) pa)a

    ,!(')a ,('a/6, 5!()(#' (-) "#' p)#/('#' -( /#*!'6, -("#),# -( "a )(;,()a I5!#' 0 p#-() #*'()a) "#' /a*#' (, '!

    (;/(,/a.

    Pa)a (" ('!-# -( (p#' '( !"6 #+a' -( )(')#' /#, "a

    ;,a"-a- -( #*(,() ,;#)a/6, p)(/'a -( "#' p)#/('#' -( /#*!'6,

    (, (" #),# ('( ,')!(,# ;!( a"-a-# p#) "a p)#pa )(;,()a -(P()#p()=.

    +.= PROCEDIMIENTO DE LA INESTIACIN

    182

    AUTOR PAGINAS

    TITULO @ SU%TITULO

  • 5/23/2018 Tesis Julio Vega

    58/75

    INICIOTITULO

    PLANTEAMIENTO DEL ESTUDIOTEMA DE INVESTIGACIN

    PRO%LEMA DE INVESTIGACIONPRO%LEMA GENERAL

    O%ETIVO GENERALUSTI&ICACIN

    IPOTESISMARCO TEORICO%ASES TEORICAS

    METODOLOGIATIPO @ NIVEL DE INVESTIGACIN

    DISEO DE LA INVESTIGACINPO%LACIN @ MUESTRA DE LA INVESTIGACIN

    OPERATIVIKACIN DE VARIA%LES

    RESULTADOS DE LA INVESTIGACINANALISIS ESTADISTICO DE LOS RESULTADOSPRUE%A DE IPOTESIS

    INTERPRETACIN DE LOS RESULTADOSCOMPARACIN DE RESULTADOS

    EVALUACIN DE RESULTADOSCONSECUENCIAS TEORICASAPLICACIONES PRACTICAS

    CONCLUCIONESRECOMENDACIONES

    FIN

    TA%LA 3.4: P)#/(-(,# -( "a ,('a/6,

    &!(,(: E"a*#)a/6, p)#pa

    183

  • 5/23/2018 Tesis Julio Vega

    59/75

    CAPITULO I

    PRESENTACIN DE RESULTADOS

    ).1 ANALISIS DEL BALANCE ENERETICO

    P#) "#' -a#' #*(,-#' a)((' -( "#' ,;#)(' p)('(,a-#' 0 "#'

    />"/!"#' )(a"a-#' (, (" '# '( p!(-( -((),a) "a )("a/6, -(

    (,()a -(" #),# 311

  • 5/23/2018 Tesis Julio Vega

    60/75

    D( ('# '( -(-!/( 5!( "a (,()a =" (' -(" $8.87 -(*-# a a)#'

    ;a/#)(' 5!( '( ('!-a)a, a /#,,!a/6,:

    ).1.1. P[RDIDAS POR SOBRE-CARA.

    S( -(*( /#,'-()a) (" ,(" -( /a)a (, )("a/6, /#, "a a)a/6,

    -(" )(,-(,# -( !, #),# (' ap)(/a*"(. D(*-# a 5!( a"

    )a*a+a) /#, !,a /a)a '!p()#) a "a -( -'(# '( p)('(,a)a,

    !,a '()( -( p)#*"(a' a"(' /##:

    a M>' /#,'!# -( /#*!'*"(.

    * D('a'( -( "a' *#5!""a' a#a-#)a'.

    / P)#*"(a' (, (" /#,# -( "a ""aa.

    - Ipa/# -( "a ""aa /#,)a "#' !*#'.

    ( A!(,# -(" (/('# -( a)( pa)a /#,)#"a) "a ;#)a -( "a ""aa

    0 (a) (" pa/# /#,)a "#' !*#'.

    ; D(()#)# (, (" a'"a(,#.

    185

  • 5/23/2018 Tesis Julio Vega

    61/75

    L#' '#' /a!'a, !, a"# p#)/(,a+( -( p)--a (,()/a 0

    )('p#,-(, a" *a+# )(,-(,# -(" #),#.

    E" #),# P

  • 5/23/2018 Tesis Julio Vega

    62/75

    )(-(-#) -( 2212B3.B83

    187

  • 5/23/2018 Tesis Julio Vega

    63/75

    C"#$%&!' 1:

    DISCUSIN E INTERPRETACIN DE RESULTADOS

    1.1 INTERPRETACIN DE LOS RESULTADOS

    E, "a a*"a $.1 '( !(')a "a p)#-!/-a- -( "a ;"#a -(

    '/##p)a' a,(' 0 -('p!' -( "a #pa/6, -( "#' /#'#' -(

    #p()a/6, 0 a,(,(,# a,(' 0 -('p!' -( ap"/a) ("

    )aa(,# (p()(,a" -(" /!a" '( p!(-( #*'()a) 5!( a,(' -(

    "a #pa/6, "a p)#-!/-a- p)#(-# -( "a ;"#a p#) )a'p#)a)

    !,a #,("a-a -( ,()a" ()a -( 1.48B USc#, 0 -('p!' -(

    ap"/a) (" )aa(,# (p()(,a" (' -( 1.B41 USc#,

    ,()p)(a,-# 5!( -('p!' -( ap"/a)"( (" )aa(,# (p()(,a"

    a "a ;"#a -( '/##p)a' "( /!('a (,#' )a,'p#)a) !,a #,("a-a

    -( ,()a".

    188

  • 5/23/2018 Tesis Julio Vega

    64/75

    E, "a p)!(*a -( p6('' '( a a"-a-# "a ()-a- -( "a p6(''

    -( ,('a/6, pa)a "#' ,("(' -( ',;/a,/a -( B.B$ 0 B.B1 (,

    /#,'(/!(,/a ' #pa#' "#' /#'#' -( #p()a/6, 0

    a,(,(,# p#) (-# -( !, R(;"#a(,# -( Ma5!,a)a '(

    "#)a ,/)((,a) "a p)#-!/-a- -( "a ;"#a a/!a" -( '/##p)a'

    -( "a ,()a V#"/a, !,-a- T/"#.

    1.( COMPARACIN DE RESULTADOS

    E, "a '!(,( a*"a '( p)('(,a "#' -a#' -( "a p)#-!/-a-

    #*(,-#' a,(' 0 -('p!' -( "a #pa/6, -( "#' /#'#' -(

    #p()a/6, 0 a,(,(,# -( "a ;"#a -( '/##p)a'.

    COMPARACIN DE RESULTADOS

    I%8 C7;0g'FLOTA ACTUAL FLOTA REPOTENCIADA

    M"" M';!' P';&% M"" M';!' P';&%B1 SC < B1 Ta)#/ EC 13B 13$ A"a' C#p/# ST 71B B937B2 SC < B2 Sa,- EC 14$ 13$ A"a' C#p/# ST 71B B937B3 SC < B3 A"a' C#p/# ST 71B 13Y A"a' C#p/# ST 71B B937B4 SC < B4 A"a' C#p/# ST 71B 134 A"a' C#p/# ST 71B B937B$ SC < B$ ^a,() ST YC 1$$ A"a' C#p/# ST 1B3B 11B1BY SC < BY Sa,- T#)# 7 1$B A"a' C#p/# ST 1B3B 11B1B7 SC < B7 Caa)p""a) R1YBBG 1$$ A"a' C#p/# ST 1B3B 11B1B8 SC < B8 A"a' C#p/# ST 1B2B 1Y$ A"a' C#p/# ST 1B3B 11B1B9 SC < B9 A"a' C#p/# ST 1B2B 1$$ A"a' C#p/# ST 1B3B 11B11B SC < 1B A"a' C#p/# ST 1B2B 1$8 A"a' C#p/# ST 1B3B 11B111 SC < 11 A"a' C#p/# ST 1B2B 1$1 A"a' C#p/# ST 1B3B 11B1

    Ta*"a $.1: P)#-!/-a- a,(' 0 -('p!' -( "a #pa/6, -( "#' /#'#' -(#p()a/6, 0 a,(,(,# -( "a ;"#a -( S/##p)a'

    &!(,(: E"a*#)a/6, p)#pa

    189

  • 5/23/2018 Tesis Julio Vega

    65/75

    D( "a a*"a '( #*'()a 5!( ap"/a,-# (" #-# -( )(;"#a(,# -(

    a5!,a)a '( )(a"a)> !,a ,()'6, (, "a a-5!''/6, -( 11 (5!p#'

    ,!(#' a)/a A"a' C#p/# /#, (""# '( #*(,( a0#) p)#-!/-a- (,#)

    )("a/6, /#'#*(,(;/# 0 p#) (,-( "a )(-!//6, -( "#' /#'#' -( #p()a/6,

    0 a,(,(,# -( "a ;"#a -( '/##p)a'. A-(>' '( "#)a)> !,a

    ('a,-a)a/6, -( "#' (5!p#' 0 '( p#-)> !'a) a "#' (5!p#' a/!a"(' -( "a

    ;"#a /## p)#((-#)(' -( )(p!('#' 0a 5!( a*, '( /!(,a, /#, a0#)

    /a,-a- -( (5!p#' a)/a A"a' C#p/#.

    190

  • 5/23/2018 Tesis Julio Vega

    66/75

    1.3 EALUACIN DE RESULTADOS

    La ap"/a/6, -(" R(;"#a(,# -( Ma5!,a)a (,( /##

    /#,'(/!(,/a !,a )(-!//6, -(" /#'# a,!a" -( #p()a/6, 0

    a,(,(,# p()# a /a*# -( ('# '( -(*( )(a"a) !,a ,()'6, (,

    "a a-5!'/6, -( ,!(#' (5!p#'.

    La' #)a' a,!a"(' -( #p()a/6, -( "#' '/##p)a' '#,

    ap)#a-a(,( -( 4241.3 #)a' /## '( (,( (" *(,(;/# #)a)#

    -( "#' '/##p)a' -( "a ;"#a 0 "#' -( )((p"a# (,#,/(' '( p#-)>

    #*(,() "a /a,-a- -( a()a" 5!( #"a, a,!a"(,( p#) (-#

    -( !,a !"p"/a/6, -( "a' #)a' -( #p()a/6, a,!a"(' 0 (" *(,(;/#

    #)a)#.

    E,#,/(' (" a#))# a,!a" '( /a"/!"a)> /#, "a '!(,( (p)('6,:

    A#))# T#, a,!a"(' C%&"#a

  • 5/23/2018 Tesis Julio Vega

    67/75

    I%8 C7;0g'F!'%" A%&"! F!'%" R#'%n0";"

    M';!' US\ M';!' US\ B1 SC < B1 EC 13B 134 ST 71B B937B2 SC < B2 EC 14$ 134 ST 71B B937B3 SC < B3 ST 71B 134 ST 71B B937B4 SC < B4 ST 71B 134 ST 71B B937B$ SC < B$ ST YC 1$B ST 1B3B 11B1BY SC < BY T#)# 7 1$B ST 1B3B 11B1B7 SC < B7 R1YBBG 1$B ST 1B3B 11B1B8 SC < B8 ST 1B2B 1$B ST 1B3B 11B1B9 SC < B9 ST 1B2B 1$B ST 1B3B 11B11B SC < 1B ST 1B2B 1$B ST 1B3B 11B111 SC < 11 ST 1B2B 1$B ST 1B3B 11B1

    Ta*"a $.2: C% -( "#' (5!p#' -( "a ;"#a 0 (5!p#' ,!(#'

    &!(,(: E"a*#)a/6, p)#pa

    E" (5!p# -( )((p"a# ST 61+ #"a a,!a"(,( 47BB71.7Y #,("a-a'

    5!( )((p"aa,-# (, "a (p)('6, $.1 #*(,(#':

    A#))# T#, a,!a"(' C%&"#a

  • 5/23/2018 Tesis Julio Vega

    68/75

    E'( />"/!"# "# p#-(#' ap)(/a) /#, a0#) -(a""( (, "a '!(,( a*"a:

    #)a' #p()a/6, a,!a"(' ) )()1,3%(,(;/# #)a)# #,)ST 71B 4B 0-3 11+,=3(

    ST1B3B Y$ 0-3 =3,=13

    ANALISIS DE AHORROSCOOPTRAMS

    ),+ ;3 5,* ;3 N&" F!'%"M,()a" #"a-# #, 47BB718 3$$47Y1C% E5!p#' -( "a &"#a USc#, 134 1$C% E5!p#' -( R((p"a# USc#, B937 11B1A#))# p#) E5!p# USc 1894389 14183$U,-a-(' )((p"aa-a' 4 7 14

    A#))# A,!a" USc 7$77$$7 9928447 17$BYBB3Y

    Ta*"a $.3: A#))# a,!a" p#) )((p"aa) "#' (5!p#' -( "a ;"#a -( '/##p)a'

    &!(,(: E"a*#)a/6, p)#pa

    193

  • 5/23/2018 Tesis Julio Vega

    69/75

    1.) APLICACIONES PRCTICAS

    E'a ,('a/6, '( )(a"6 pa)a "a M,()a V#"/a, !,-a- T/"#

    pa)a a' p#-() -a) a /#,#/() 5!( #pa,-# "#' /#'#' -(

    #p()a/6, 0 a,(,(,# '( "#)a ,/)((,a) "a p)#-!/-a- -(

    "a ;"#a a/!a" -( '!' '/##p)a'.

    E'a ,('a/6, p!(-( '() ap"/a) (, -;()(,(' (p)('a'

    ,()a' 5!( (,a, (" '# p)#*"(a -( ,/)((,# -( '!'

    /#'#' -( #p()a/6, 0 a,(,(,# -( '! ;"#a -( /a)a-#)(' a

    "# "a)# -( '!' a#' -( #p()a/6,.

    A' '# ('a ,('a/6, '( p!(-( #a) /## )(;()(,/a

    pa)a #)#' ('!-#' -( ,('a/6, )("a/#,a-#' /#, (" (a.

    194

  • 5/23/2018 Tesis Julio Vega

    70/75

    CONCLUSIONES

    1. E" R(;"#a(,# -( Ma5!,a)a ,#' p()( "a #pa/6, -( "#'

    /#'#' -( #p()a/6, 0 a,(,(,# /#, (" /!a" '( "#)a ,/)((,a) "a

    p)#-!/-a- -( "a ;"#a a/!a" -( '/##p)a'.

    2. C#, (" R(;"#a(,# -( Ma5!,a)a '( )((p"aa #-#' "#' '/##p)a'

    -( "a ;"#a ', )(p#(,/a) ,,!,# -(*-# a 5!( "#' (5!p#' -( "a ;"#a

    a/!a" -( '/##p)a' 0a (,(, !/#' a#' -( #p()a/6, 0 0a pa'a)#,

    p#) >' -( !, O()a!".

    3. La ap"/a/6, -(" R(;"#a(,# -( Ma5!,a)a (,( (,a+a' /,/a' 0

    (/#,6/a'. T/,/a' p#)5!( (" a,(,(,# -( "#' '/##p)a' ('>

    a/#)-( a "a' )(/#(,-a/#,(' -(" ;a*)/a,( 0 (/#,6/a' p#)5!( '(

    "#)a (,() !,a ;"#a ('a,-a)a-a -(*-# a (""# ,# '( /#,'-()a (,()

    /#'#' p#) a,(,() '#/ -( )(p!('#' -( -;()(,(' a)/a'.

    195

  • 5/23/2018 Tesis Julio Vega

    71/75

    4. D( a/!()-# a" a,>"'' C#'#%(,(;/# )(a"a-# pa)a "a a-5!'/6, -(

    "#' '/##p)a' -( )((p"a# -( 42 0-3 (" >' )(,a*"( (, (" ()/a-#

    ;!( (" S/##p)a a)/a A"a' C#p/# ST71B /#, !,a p)#-!/-a- -(

    B.937 USc#, ;)(,( a "#' '/##p)a' a)/a Sa,- TOROY 0 a)/a

    Caa)p""a) R13BBG p!('# 5!( /#, ('#' /!('a >' )a,'p#)a) !,a

    #,("a-a -( ,()a".

    $. D( a/!()-# a" a,>"'' C#'#%(,(;/# )(a"a-# pa)a "a a-5!'/6, -(

    "#' '/##p)a' -( )((p"a# -( Y$ 0-3 (" >' )(,a*"( (, (" ()/a-#

    ;!( (" S/##p)a a)/a A"a' C#p/# ST1B3B /#, !,a p)#-!/-a- -(

    1.1B7 USc#, ;)(,( a "#' '/##p)a' a)/a Sa,- TORO7 0 a)/a

    Caa)p""a) R1YBBG p!('# 5!( /#, ('#' /!('a >' )a,'p#)a) !,a

    #,("a-a -( ,()a".

    Y. La ap"/a/6, -(" #-# )(5!()( !,a ,()'6, (, "a a-5!'/6, -(

    (5!p#' ,!(#' -( 3 9B$ BBB USc.

    7. R(a"a,-# "a #pa/6, -( "#' /#'#' -( #p()a/6, 0 a,(,(,#

    p#) (-# -( !, R(;"#a(,# -( Ma5!,a)a (" a#))# a,!a" -( /#'#'

    (' -( 1 74$ Y24 USc

    8. La ,()'6, )(a"a-a ,/a"(,( pa)a "a a-5!'/6, -( ,!(#'

    (5!p#' '( )(/!p()a)> (, 2.24 a#' 5!(->,-#,#' B7Y a#' -( !"-a-

    5!( (, -,()# )(p)('(,a 1 331 872 USc p!('# 5!( a "a' 12 BBB #)a'

    -( #p()a/6, 3 a#' ap)#a-a(,( )(/#(,-a, "#' (p()#'

    )(a"a) !, O()a!" a "#' '/##p)a'.

    196

  • 5/23/2018 Tesis Julio Vega

    72/75

    RECOMENDACIONES

    1. S( )(/#(,-a ap"/a) (" R(;"#a(,# -( Ma5!,a)a pa)a a'

    #pa) "#' /#'#' -( #p()a/6, 0 a,(,(,#H 0 p#) (,-(

    ,/)((,a) "a p)#-!/-a- -( "a ;"#a -( '/##p)a' -( "a M,()a

    V#"/a, !,-a- T/"#.

    197

  • 5/23/2018 Tesis Julio Vega

    73/75

    BIBLIORAFIA

    1. ESPINOZA MONTES, CIRO. METODOLOGA DE LA

    INVESTIGACIN TECNOLGICA P)()a (-/6, (-#)a" Ia(,

    G)>;/a SAC a)# -( 2B1B.

    2. ROBERTO HERNADEZ SAMPIERI, CARLOS FERNANDEZ

    COLLADO, PILAR BAPTISTA LUCIO. METODOLOGIA DE LA

    INVESTIGACIN F!,a E-/6, (-#)a" M/ G)a\

  • 5/23/2018 Tesis Julio Vega

    74/75

    $. NICHOLS HERBERT REPARACIN @ MANTENIMIENTO DE

    MAFUINARIA PESADA. S(!,-a (-/6, M/# E-#)a" M/ G)a\