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CONDUCTIVIDAD
TABLA DE CONTENIDO
N0PAG.
1.- INDICE DE TABLAS 2
2.- INDICE DE GRAFICOS 3
3.- RESUMEN 4
4.- INTRODUCCION 5
5.- PRINCIPIOS TEORICOS 6
6.- DETALLES EXPERIMENTALES 12
7.- TABULACION DE DATOS Y RESULTADOS 15
.- DISCUSION DE RESULTADOS 21
!.- CONCLUSIONES 22
10.- RECOMENDACIONES 23
11.- BIBLIOGRAFIA 24
12.- APENDICE E"#$%&' (# )*&)+&', G*)/,
2532
Pgina1
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CONDUCTIVIDAD
INDICE DE TABLAS Pg.
TABLA N 1 CONDICIONES EXPERIMENTALES 14
TABLA N 2 DIMENSIONES DE LA BARRAS DE COBRE Y ALUMINIO 14
TABLA N3 DATOS TEORICOS DE LAS BARRASDE COBRE Y ALUMINIO 14
TABLA N 4 TEMPERATURA DE LA BARRA DE ALUMINIO AINTERVALOS DE 10 SEGUNDOS 15
TABLA N 5 TEMPERATURA DE LA BARRA DE COBRE A INTERVALOSDE 10 SEGUNDOS 16
TABLA N 6 TEMPERATURAS DE LA BARRA DE ALUMINIOSUPRIMIENDO DATOS INICIALES Y FINALES 17
TABLA N7 TEMPERATURAS DE LA BARRA DE COBRE SUPRIMIENDODATOS INICIALES Y FINALES 1
TABLA N ALUMINIO 1!
TABLA N ! COBRE 20
TABLA N10 COEFICIENTES DE CONVECCION LIBRE DEL COBRE YALUMINIO 21
TABLA N 11 PRIMERA ITERACIN DEL CALCULO DEL ALUMINIO 21
TABLA N 12 SEGUNDA ITERACIN DEL CALCULO DEL ALUMINIO 22
TABLA N 13 PRIMERA ITERACIN DEL CALCULO DEL COBRE 23
TABLA N 14 SEGUNDA ITERACIN DEL CALCULO DEL COBRE 24
TABLA N 15 TABLA DE RESULTADOS DE LAS ITERACIONES PARA ELALUMINIO 25
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CONDUCTIVIDAD
TABLA N16 TABLA DE RESULTADOS DE LAS ITERACIONES PARA ELCOBRE 25
TABLA N 17 PORCENTAES DE ERROR 26
NDICE DE GRAFICAS
GRFICO N1: Curva d n!ria"in#$ d %a &arra d a%u"ini$
GRFICO N2 : Ln'(T)T*+,(T$)T*+- v. #i"/$ /ara % a%u"ini$
GRFICO N0: Curva d n!ria"in#$ d %a &arra d $&r
GRFICO N: Ln'(T)T*+,(T$)T*+- v. #i"/$ /ara % $&r
GRFICO N3: Di.#ri&ui4n d #"/ra#ura. #ran.i#$ria. /ara un n5"r$ dBi$# n %a &arra d a%u"ini$ (I i#rai4n+
GRFICO N6: Di.#ri&ui4n d #"/ra#ura. #ran.i#$ria. /ara un n5"r$ dBi$# n %a &arra d a%u"ini$ (II i#rai4n+
GRFICO N7: Di.#ri&ui4n d #"/ra#ura. #ran.i#$ria. /ara un n5"r$ d
Bi$# n %a &arra d $&r (I i#rai4n
GRFICO N8: Di.#ri&ui4n d #"/ra#ura. #ran.i#$ria. /ara un n5"r$ dBi$# n %a &arra d $&r (II i#rai4n+
Pgina0
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CONDUCTIVIDAD
09) RES;EN
E& '"#89' (# &/ %*)8)/ #, #& )*&)+&' (# &/ )':(+)898(/( ;$8)/ (#& )'# < (#&/&+$8:8'= /,*:(':', #: #& $;'(' (# &/ #,8,#:)8/ 8:#:/ (#,%#)8/.
L/, )':(8)8':#, (# //"' #: #& &/'/'8' ,':= #$%#/+/ /$8#:# / 21C : / 756$$?@.
D# &/ #%#8#:)8/= ,# '8#:# %// &/ // (# )'# +:/ )':(+)898(/( ;$8)/ (#
407.07!W
m K < %// &/ // (# /&+$8:8'= (# 23!.7W
m K = /'"/:(' +: #'
(# 1.51 < 1.1 %// #& )'# < /&+$8:8' #,%#)89/$#:#.
C'$' #,+&/(' (#& /:*&8,8,= ,# '8#:# +# &/ )':(+)898(/( ;$8)/ (#%#:(# (# &/:/+// (#& $/#8/&.
Pgina
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CONDUCTIVIDAD
9)INTRODCCION
L/ )':(+)898(/( ;$8)/ ,# %+#(# 8$/@8:/ )'$' +:/ /:,##:)8/ (# #:#@/#:# $'&;)+&/, ' *'$',= #: '$/ %/#)8(/ / )'$' ,# )':(+)# &/ #)8)8(/( #: +:/&/$#. L/, ,'&+)8':#, (# &/ L#< (# F'+8# #: ,+ '$+&/)8>: (8##:)8/&= #$%/:(' &/,)':(8)8':#, (# '(# /(#)+/(/,= %#$8# #,'&9# #& %'$/ (# )':(+))8>: (# )/&'+:8(8$#:,8':/& < #,/)8':/8/ %// @#'$#/, %&/:/,= )8&:(8)/, < #,;8)/,.
C':')8(/, #,/, ,'&+)8':#,= %'(*: +,/,# (8,%',889', /,/(', #: &/,$#:)8':/(/, @#'$#/, %// (##$8:/ #& )'#)8#:# (# )':(+)898(/( ;$8)/ (#&$#(8' +# ,# #+8#/. P// #&&'= (##* #:#,# &/ %#)/+)8>: (# #,/ /"' +: ;@8$#:(# )':(+))8>: #,/)8':/8/ < +:8(8$#:,8':/&= &' )+/& #: /&@+:', )/,', )':,8+
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CONDUCTIVIDAD
39)PRINCIPIOS TE
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TcLTf
q
A
CONDUCTIVIDAD
#/ (# &/ ,#))8>: /:,9#,/& / /9;, (#& )+/& +
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T T
f
Distribucin de temperaturascon movimiento del fluido
CONDUCTIVIDAD
D/(' +# #, +:proceso< :' +: mecanismo= :' #8,# +:/ < %/8)+&/ (#/:,##:)8/ (# )/&' %' )':9#))8>:.
L/, : (# #:#@/ < &/ )':,#9/)8>: (# )/:8(/( (# $'98$8#:'.
L/ /:,##:)8/ (# )/&'%' )':9#))8>: ,# )&/,8)/,#@K: &/ '$/ )'$' ,# 8:(+)# #& +"' (# )/&' %'
C':9#))8>: &8# ' :/+/& C':9#))8>: '/(/.
La $nvi4n %i&r $ na#ura%: S# )':,8(#/ )':9#))8>: &8# #: +:/ ,8+/)8>:(':(# :' /< 9#&')8(/( '/(/ < #: &/, :' ',/:#= /+: /< )'8#:#, (#)':9#))8>: (#:' (#& +8(' /, ,8+/)8':#, ,# (#:'$8:/: )':9#))8>: &8#' ':/+/& < ,# '8@8:/ )+/:(' +:/ +#/ (# )+#%' /)K/ ,'# +: +8(' #: &/, +#/< @/(8#:#, (# (#:,8(/(. E: #& )/,' $*, )'$K: #& @/(8#:# (# (#:,8(/( ,#
(## / +:/ @/(8#:# (# #$%#/+/.La $nvi4n !$r>adaE& $'98$8#:' (#& +8(' #, %'(+)' (# &/ /))8>: (# /&@K:agente externo/& ,8,#$/= /& )'$' +:/ '$/= /@8/('= +8:/= #).
E& +"' (# )/&' %' )':9#))8>: #:# &/ ,+%#)8# < #& +8(' /(
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CONDUCTIVIDAD
( ) ( ) 5c caliente friaq h A T T =
D':(#
A E, #& *#/ (# /:,##:)8/ (# )/&'
) E, #& )'#)8#:# (# /:,##:)8/ (# )/&' %' )':9#))8>:
CASO DE RESISTENCIA INTERNA DESPRECIABLE
L/ #,#:)8/ (#& $;'(' (# #,8,#:)8/ 8:#:/ (#,%#)8/ #, &/ ,+%',8)8>: (# +# &/#$%#/+/ (#& ,>&8(' #, #,%/)8/&$#:# +:8'$# #: )+/&+8# 8:,/:# (+/:# #&%')#,' /:,8'8'. E,/ ,+%',8)8>: 8$%&8)/ +# &', @/(8#:#, (# #$%#/+/ (#:' (#&,>&8(' ,': 8:,8@:8)/:#, < +# &/ #$%#/+/ 9/8/ ,'&' #: +:)8>: (#& 8#$%' #,/,+%',8)8>: #, %',8 /"' &/, ,8@+8#:#, )':(8)8':#,
C+#%' (# (8$#:,8':#, %#+#Q/, A&/ )':(+)898(/( ;$8)/ (#& )+#%' B/"' )'#)8#:# (# /:,##:)8/ (# )/&' %' )':9#))8>:.
D':(#
T Tf
Pgina?
Enfriamiento de una pieza forzada de metal
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CONDUCTIVIDAD
Esale E:#@/ +# ,/
Ealm E:#@/ /&$/)#:/(/ #: #& )+#%'
C'#)8#:# (# )':9#))8>:
A, *#/ ,+%#)8/& (#& )+#%'
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T #$%#/+/
8#$%'
D# /)+#(' )': &/ < (# F'+8#= &/ )':(+))8>: (# )/&' #: /+,#:)8/ (# +: @/(8#:# (#
#$%#/+/ 8$%&8)/ &/ #8,#:)8/ (# +:/ )':(+)898(/( ;$8)/ 8::8/. E,/ )':(8)8>: #,)&//$#:# 8$%',8. S8: #$/@'= /+:+# &/ )':(8)8>: :+:)/ ,# ,/8,/)# (# '$/#/)/= ,# /)#)/ $+)' / #&&' ,8 &/ #,8,#:)8/ / &/ )':(+))8>: (#:' (#& ,>&8(' #,%#+#Q/ )'$%//(/ )': &/ #,8,#:)8/ / &/ /:,##:)8/ (# )/&' #:# #& ,>&8(' < ,+,/(#('#,. P' /'/ ,+%':@/ +#= (# #)'= #,# #, #& )/,'.
A& :' '$/ #: )+#:/ &', @/(8#:#, (# #$%#/+/ (#:' (#& ,>&8('= : (# (8+,8>: (# )/&'. E: ,+&+@/= &/ #,%+#,/ (# #$%#/+/ /:,8'8/ ,# (##$8:/ #/&8/:(' +: /&/:)# @&'/&(# #:#@/ #: #& ,>&8('. E,# /&/:)# (## #&/)8':/ &/ 9#&')8(/( (# %;(8(/ (# )/&' #:&/ ,+%#)8# )': &/ /%8(# (# )/$8' (# &/ #:#@/ 8:#:/.
E& /&/:)# (# #:#@/ #: '$/ (# )/&' #,
qacumulacion=qconveccion
P' &/ < (# #:8/$8#:' (# N#': < /)+$+&/)8>: ,# 8#:#
VCdT(t)
dt =hS [T( t)T]
L/ 9/8/ (#%#:(8#:# (# &/ #)+/)8>: (8##:)8/& ,# $'(8)/ )'$' ,8@+#
(t)=T(t)T
D':(# T#, )':,/:# < &/ ,'&+)8>: (# ,# '8#:#
Pgina1@
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CONDUCTIVIDAD
VCd (t)
dt =hS(t)
R#/)'$'(/:(' &', #$8:' < ,#%//:(' 9/8/, +#(/
d(t)(t)
=hSVC
dt
A& 8:#@/ (#,(# &/ )':(8)8>: 8:8)8/& 0J '< &/ )':(8)8>: @#:#/& #: #& 8#$%' t(/
T( t)TT
0T
=ehStVC
L/ #)+/)8>: #%#,#:/ +:/ #,%+#,/ @#:#/& (# +: ,8,#$/ )':(+))8>:= #,/('/:,8'8'= /& 9/8/ &/ #$%#/+/ #: +:)8>: (#& 8#$%' < 8:#)/$8' (# )/&' )': #&$#(8' /$8#:# )':9#)89'.
R#/)'$'(/:(' #& #%':#:#
hStVC
=
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V
Sk)(
t
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D':(#V
s #, &/ &':@8+( )//)#,8)/
Nu"r$ d Bi$#E& :K$#' (# B8' B8J #, +: %/*$#' /(8$#:,8':/& < #%#,#:/ &/ />: #:# #&)'#)8#:# (# /:,##:)8/ )':9#)89/ (# )/&' #: &/ ,+%#)8# (#& ,>&8(' < &/)':(+)/:)8/ #,%#))/ (# #,# ,>&8('.
Pgina11
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CONDUCTIVIDAD
Para un Bi1#, /':/ ,+%':# +:/ (8,8+)8>: (# #$%#/+/, +:8'$#/ /9;, (# +: ,>&8(' #: )+/&+8# $'$#:' (+/:# +: %')#,' /:,8'8'= /, ,#)':)&+&8(' #, $+)' $#:' +# &/ #,8,#:)8/ / &/ )':9#))8>: / /9;, (# &/ )/%/ &$8#(#& +8('.
Bi=
h( Vs)k
H Bi : Mdulo de Biot
;$du%$ d F$urir
Es un nmero adimensionalque caracteriza la conduccin de calor. Conceptualmente es la relacin
entre la velocidad de la conduccin de calor y la velocidad del almacenamiento de energa.
F0=
t
(
V
s
)
2
D':(#
F0: M'(+&' (# F'+8#
: Es la difusividad trmica.
t: T8#$%' )//)#,8)'
L: E, &/ longitud a travs de la que la conduccin de calor ocurre.
Pgina12
El clculo por el mtodo de resistencia interna despreciable producir un
error menor que 5 % siempre que el Biot 0,1.
http://es.wikipedia.org/wiki/N%C3%BAmero_adimensionalhttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Energ%C3%ADahttp://es.wikipedia.org/wiki/N%C3%BAmero_adimensionalhttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Energ%C3%ADa7/26/2019 Conductividad La Firme
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CONDUCTIVIDAD
69)DETALLES EPERI;ENTALES
19 ;ATERIALES
1 B// )8&:(8)/ (# )'#2 B// )8&:(8)/ (# /&+$8:8'3 T#$>$#' (8@8/&4 T#$>$#' (# $#)+8'5 C':>$#'6 C/&8/(' 9#:8#.
7 A)#8#
29 INSTR;ENTOS
Pgina10
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CONDUCTIVIDAD
1. E,+/ #&;)8)/2. G+/:# (# /,#,'3. T/:+# )': /@+/
4. G/:)' (# $#/& )': /8,&/:#
PROCEDI;IENTO EPERI;ENTALE& %')#(8$8#:' +# #/&8/$', %// (##$8:/ #& #%#8$#:' (#(##$8:/)8>: (# &/ )':(+)898(/( ;$8)/ (#& )'# < /&+$8:8' +# #&,8@+8#:#
Pgina1
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CONDUCTIVIDAD
79)TABLACION DE DATOS RESLTADOS
Pgina13
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CONDUCTIVIDAD
TABLA N 1 : C':(8)8':#, #%#8$#:/,
P#,8': A$',#8)/$$?@J
756
T./@+/ CJ 20.
TABLA N2 : D8$#:,8':#, (# &/ //, (# )'# < /&+$8:8'
ALUMINIO(8*$#' $J 0.0515
/&+/ $J 0.15
COBRE(8*$#'$J 0.0505
/&+/$J 0.15
TABLA N09) D/', #>8)', (# &/, //, (# )'# < /&+$8:8'
DATOS TEORICOSMATERIAL COBRE ALUMINIO
(#:,8(/( 2!5 !33 2702C% @ J 35 !03 $J 401 237
TABLA N T#$%#/+/ (# &/ // (# A&+$8:8' / 8:#9/&', (# 10 ,#@+:(',
Pgina16
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CONDUCTIVIDAD
BARRA DE ALUMINIOTi"/$ (.+ T (C+ T 1(C+
0 43. 43.4
10 40 40.420 37 37.430 34.7 34.!40 32. 33.150 31.5 31.460 30 3070 2.! 2!0 27.! 27.!!0 27 27.2
100 26.3 26.4
110 25. 25.!120 25.3 25.2130 24. 24.140 24.5 24.5150 24 24.1160 23. 23.7170 23.5 23.510 23.2 23.21!0 23 23200 22.7 22.210 22.6 22.5220 22.4 22.3230 22.3 22.2240 22.1 22250 22 22260 22 21.!270 21.! 21.20 21. 21.72!0 21.7 21.6300 21.6 21.6310 21.5 21.5
320 21.5 21.4330 21.4 21.4340 21.3 21.3350 21.3 21.2360 21.2 21.2
Pgina17
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CONDUCTIVIDAD
410 21.1 21
TABLA N3 T#$%#/+/ (# &/ // (# C'# / 8:#9/&', (# 10 ,#@+:(',BARRA DE COBRE
Ti"/$ (.+ T 1(C+ T2 (C+
0 !2. !2.210 77.7 77.720 6.1 66.730 60.2 5!.!40 54. 53.650 4!.5 4.660 45.5 45.470 40.4 3!.7
0 37.7 37.2!0 36. 35.6100 34.5 34.2110 33.3 32.6120 32 31.6130 31.1 30.6140 30.2 2!.7150 2!.5 2.!160 2.1 2.2170 27.6 27.710 27 271!0 26.5 26.6200 26.1 26.2210 25. 25.220 25.4 25.4230 25.1 25.1240 24. 24.!250 24.6 24.6260 24.3 24.4270 24.1 24.220 23.! 23.!2!0 23.6 23.7300 23.5 23.6
310 23.3 23.4320 23.2 23.2330 23.1 23340 22.! 23350 22. 22.360 22.7 22.7370 22.6 22.6
Pgina18
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CONDUCTIVIDAD
30 22.5 22.53!0 22.4 22.4400 22.3 22.4410 22.2 22.3420 22.2 22.2430 22.2 22.1440 22.1 22450 22 22460 21.! 22470 21.! 21.!40 21. 21.!4!0 21. 21.
TABLA N6
T#$%#/+/, (#&/ // (# A&+$8:8',+%8$8#:(' (/', 8:8)8/, : &8# (#& )'# < /&+$8:8'
)'#. )':9#))8>:&8#
$2J)'# 252.37
/&+$8:8' 23.67
Pgina22
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CONDUCTIVIDAD
TABLA N11 P8$#/ 8#/)8>: (#& )*&)+&' (#& /&+$8:8'
Ti"/$ (.+ F' Ln'(T)T*+,(T$)T*+-
0 0.0000 0.00010 .1456 -0.16120 16.2!13 -0.32!30 24.436! -0.440 32.526 -0.62!50 40.722 -0.76160 4.73 -0.!070 57.01!5 -1.02!0 65.1651 -1.167
!0 73.310 -1.26100 1.4564 -1.413110 !.6020 -1.507120 !7.7477 -1.634130 105.!33 -1.740140 114.03!0 -1.1150 122.146 -1.!4160 130.3302 -2.045170 13.475! -2.13410 146.6215 -2.251
1!0 154.7672 -2.33200 162.!12 -2.45!210 171.054 -2.567220 17!.2041 -2.6!230 17.34!7 -2.755240 1!5.4!54 -2.!04250 203.6410 -2.!44260 211.766 -2.!7270 21!.!323 -3.0720 22.077! -3.17
2!0 236.2236 -3.2!300 244.36!2 -3.350310 252.514 -3.43320 260.6605 -3.55330 26.061 -3.63340 276.!51 -3.20
Pgina20
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CONDUCTIVIDAD
350 25.0!74 -3.!25360 2!3.2430 -4.043410 333.!712 -4.513
TABLA N12 S#@+:(/ 8#/)8>: (#& )*&)+&' (#& /&+$8:8'
Ti"/$ (.+ F' Ln'(T)T*+,(T$)T*+-
0 0.0000 0.00010 .135 -0.161
2016.276
!-0.32!
3024.415
4-0.4
40 32.553 -0.62!
5040.6!2
3-0.761
604.30
-0.!0
7056.!6!
2-1.02!
065.107
7-1.167
!073.246
2-1.26
100 1.346 -1.413
110!.523
1-1.507
120!7.661
5-1.634
130105.0
00-1.740
140113.!3
5-1.1
150122.07
6!-1.!4
160 130.2154
-2.045
17013.35
3-2.134
10146.4!
23-2.251
Pgina2
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CONDUCTIVIDAD
1!0154.63
0-2.33
200162.76
!2-2.45!
210 170.!077
-2.567
22017!.04
62-2.6!
23017.1
46-2.755
2401!5.32
31-2.!04
250203.46
15-2.!44
260211.60
00
-2.!7
27021!.73
5-3.07
20227.7
6!-3.17
2!0236.01
54-3.2!
300244.15
3-3.350
310252.2!
23-3.43
320260.43
0-3.55
33026.56
!2-3.63
340276.70
77-3.20
35024.4
62-3.!25
3602!2.!
46-4.043
410333.67
6!-4.513
TABLA N10 P8$#/ 8#/)8>: (#& )*&)+&' (#& )'#
T8#$%' ,J F' L:T-TJT'-TJW0 0 0.0000
10 10.207 -0.1451
Pgina23
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CONDUCTIVIDAD
20 20.414 -0.223130 30.621 -0.351140 40.2 -0.460250 51.035 -0.55!660 61.242 -0.64!!70 71.44! -0.7430 1.656 -0.2!3!0 !1.63 -0.!62
100 102.07 -1.0333110 112.27 -1.1330120 122.4 -1.203130 132.6! -1.204140 142.! -1.341150 153.10 -1.4315160 163.31 -1.4!!170 173.51 -1.5510 13.72 -1.62251!0 1!3.!3 -1.6!06200 204.14 -1.746210 214.34 -1.261220 224.55 -1.!102230 234.76 -1.!45!240 244.!6 -2.0214250 255.17 -2.020260 265.3 -2.1466270 275.5! -2.1!2020 25.7! -2.26442!0 2!6.00 -2.3157300 306.21 -2.36!7310 316.41 -2.426!320 326.62 -2.475330 336.3 -2.51!3340 347.03 -2.55!350 357.24 -2.6210360 367.45 -2.6574370 377.66 -2.734430 37.6 -2.77523!0 3!.07 -2.177400 40.2 -2.622410 41.4 -2.!07420 42.6! -2.!575
TABLA N1 S#@+:(/ 8#/)8>: (#& )*&)+&' (#& )'#
T8#$%' ,J F' L:T-TJT'-
Pgina26
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CONDUCTIVIDAD
0 0 0.000010 10.13432 -0.145120 20.2664 -0.223130 30.402!6 -0.351140 40.5372! -0.460250 50.67161 -0.55!660 60.05!3 -0.64!!70 70.!4025 -0.7430 1.0745 -0.2!3!0 !1.20!0 -0.!62100 101.3432 -1.0333110 111.4775 -1.1330120 121.611 -1.203130 131.7461 -1.204140 141.05 -1.341150 152.014 -1.4315160 162.14!1 -1.4!!170 172.234 -1.5510 12.417 -1.62251!0 1!2.5521 -1.6!06200 202.664 -1.746210 212.207 -1.261220 222.!550 -1.!102230 233.0!4 -1.!45!240 243.2237 -2.0214250 253.350 -2.020260 263.4!23 -2.1466270 273.6267 -2.1!2020 23.7610 -2.26442!0 2!3.!53 -2.3157300 304.02!6 -2.36!7310 314.163! -2.426!320 324.2!3 -2.475330 334.4326 -2.51!3340 344.566! -2.55!350 354.7012 -2.6210360 364.356 -2.6574370 374.!6!! -2.734430 35.1042 -2.77523!0 3!5.235 -2.177400 405.372! -2.622410 415.5072 -2.!07420 425.6415 -2.!575
TABLA N13T/&/ (# #,+&/(', (# &/, 8#/)8':#, %// #& /&+$8:8'
Pgina27
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CONDUCTIVIDAD
9/&'#, /,+$8(',
1#/8#/)8>: 2(/8#/)8>: /,+$8('
$J240.0000 23!.75
B8 0.0130 0.0130C/&)+&/('
1#/8#/)8>:
2(/8#/)8>:
%#:(8#:# -0.0130 -0.0130
A&/ $2,J0.0000!3
60.0000!2
@/)/
$J 23!.75 23!.75 (#,98/)8>: 0.01 0.0000
#' -1.1766 -1.1766
TABLA N16T/&/ (# #,+&/(', (# &/, 8#/)8':#, %// #& )'#
9/&'#, /,+$8(',1#
8#/)8>:2(/
8#/)8>: /,+$8('
$J410 407.07!
B8 0.0067 0.0067
Pgina28
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CONDUCTIVIDAD
C/&)+&/('1#
8#/)8>:2(/
8#/)8>:
A&/ $2,J 0.00011!214 0.00011364%#:(8#:# -0.00670 -0.00670
@/)' $J 407.07! 407.07!(#,98/)8': 0.712 0.000
#' -1.516 -1.516
TABLA N17P')#:/"#, (# #'
MATERIAL)'# /&+$8:8'
#%#8$#:/&$J
407.07! 23!.75
#'8)' $J 401.000 237.000D#,98/)8': 6.07! 2.75
E' #&/89' J -1.516 -1.177
DISCSI
7/26/2019 Conductividad La Firme
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CONDUCTIVIDAD
E: #& /:*&8,8, (# )'# < /&+$8:8'= ,# ',#9/ +# &', %8$#', %+:', :'%#,#:/: +:/ #:(#:)8/ &8:#/&= (#8(' / +# /& ,+$#@8 &/ // (# )'# '/&+$8:8' ,# %#,#:/ +:/ )':9#))8>: '/(/= #, %' #&&' +# ,# (#)8(#
//"/ )': &', %+:', +# )+$%&/: (8)/ #:(#:)8/ /&/ N4 < 5J.
D# &/, @/)/, N 2 < 4 ,# 9# +# /$/, 8#:#: #:(#:)8/ #)/ (/:(' +:/
)'#&/)8>: 2 (# 0.!!401 < 0.!274 #,%#)89/$#:#. E,/ )'#&/)8>:
8:(8)/ +# &/ #:(#:)8/ #, &8:#/& %' &' )+/& &/ %#:(8#:# /&&/(/ :', (/)'$' #,+&/(' +: 9/&' /)#/(' (# )'#)8#:# (# )':9#))8>: J.
D# &/, T/&/, N 4 < 5 ,# ',#9/ +# %// +: 8:#9/&' (# #$%#/+/(#,(# 40C /,/ 21. C #& )'# (#$'/ 420 ,.= $8#:/, +# &/ // (#
/&+$8:8' #+8## (# 270 , %// &'@/ (8)' #:8/$8#:'= (# &' )+/& ,#',#9/ +# #& )8&8:(' (# /&+$8:8' ,# #:/ $*, *%8(' +# #& (# )'#.
L', 9/&'#, (# &', )'#)8#:#, (# )':9#))8>: &8# '#:8(', +#':
h!luminio 23.67 $2J < hCo"#e 252.37 $2J (':(# #& /&+$8:8'
8#:# +: $/: %' &' +# #,# ,# #:/$*, *%8(' +# #& )'#.
E: &/, /&/, N 15 < 16 ,# 8#:# K$#afica 23!.75 $ < K$#afica
407.07!$ %// #& A&+$8:8' < #& C'# #,%#)89/$#:#= (':(# #' #, (# 1.1766 < 1.516 #,%#)89/$#:#. O,#9/$', #& +# #'#, #&/89/$#:# %#+#Q'= &/ %#)8,8>: (# :+#,', (/', ,# (##: / :'+' :8:@+:/ %#+/)8>: #: #& +8('= ,# &'@' &/ )':9#))8>: &8#.
D# &/, 8#/)8':#, #/&8/(/, ,# )/&)+&' +: :K$#' (# B8'= #& )+/& #, $#:'+# 0.1 &' +# )'''/ #& +,' (#& $;'(' (# #,8,#:)8/ 8:#:/(#,%#)8/.
Pgina0@
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CONDUCTIVIDAD
CONCLSIONES
E& A&+$8:8' ,# #:/ $*, *%8(' +# #& )'#.
E& A&+$8:8' 8#:# +: $/ ,# /(#)+/(' %// &/(##$8:/)8>: (# &/ )':(+)898(/( ;$8)/ (# /$', ,>&8(', /&+$8:8' : "/ (# &/, //, ,'&8(/,= (# #,/$/:#/ ,# #98/ )':9#))8>: '/(/
T'$/ &/ $/: (# /8,&/$8#:' ;$8)'.
BIBLIOGRAFIA
Pgina02
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CONDUCTIVIDAD
F/: P. I:)'%#/= F+:(/$#:', (# /:,##:)8/ (# )/&'= C+// #(8)8>:=E(8'8/& P#:8)# ?/&&= AQ' 2000= P*@. 44-63= 212-223
APENDICE
Pgina00
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CONDUCTIVIDAD
P// &/ // (# C'#
D##$8:/)8>: (#& )'#)8#:# (# /:,##:)8/ (# )/&'
S# %')#(# / (##$8:/ [ TTT0T]=
0
D':(#
T 20. C T' 40.05C T T8#$%'J C H 8#$%' ,#@+:(',J
D/', (#& T8#$%'J #: &/ /&/ N 7
T 0 J 40.05 C
[ TTT0T]=40.0520.840.0520.8=1.000
T10J37.45 C
[ TTT0T]=37.4520.840.0520.8=0.865
T20J36.2C
[ TTT0T]= 36.220.840.0520.8=0.800
S# (##$8:/ #& )*&)+&' /,/ #& 8#$%' 420 ,#@+:(',
S# (##$8:/ ln[ TTT0T]P// 8#$%' 120 ,#@+:(',
C': +:/ T37.45C= T20.C < T'40.05C
Pgina0
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CONDUCTIVIDAD
ln[37.4520.840.0520.8 ]=0.145
L', #,+&/(', %// &', (#$*, (/', ,# #:)+#:/: #: &/ T/&/ N
L+#@' ,# @*)/ ln[ TTT0T] 9, ZJ= 9# G/)' N 2
ZJ D# &/ @*)/ ,'&' ,# //"// )': &', (/', +# )+$%&/: &/ #:(#:)8/ &8:#/&= &',%8$#', < K&8$', (/', (# &/ T/&/ :' &', +8&8/#$', %// (8,$8:+8 #'#, #: &/'#:)8>: (# &/ %#:(8#:#.
D#(+))8>: (# &/ )+9/ '#:8(/
S# %/# (#& $;'(' (# &/ #,8,#:)8/ 8:#:/ (#,%#)8/
[ h SC%V]&te
[ TTT0T]=
T'$/:(' L: / &/ #%#,8>: /:#8'
ln
[
TTT0T
]=
[
h S
C%V
]&t
E,/ #)+/)8>: 8:(8)/ +# /& ##)+/ &/ @*)/
Pgina03
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CONDUCTIVIDAD
ln [ TTT0T]vst la %endiente se#a[ h SC%V]D':(#
)'#)8#:# (# )':9#))8>: $2,J [(#:,8(/( (# $/#8/& (# &/ // @$3J C%)/%/)8(/( )/&')/ (#& $/#8/& @ J V V'&+$#: (# &/ // $3J S #/ ,+%#)8/& (# &/ // $2J
L/ )+9/ +# ,# '8#:# ,# $+#,/ #: #& GRAFICO N 4
P#:(8#:# $ -0.0067! ,-1
L+#@' 0.00679=[ h SC%V]
S+%#)8# (# &/ //
S=2' (
2
4+'(L
S='(0.0505m)2
2 +'(0.0505m)(0.15m)
S=0.0278m2
V'&+$#: (# &/ //
V=' (
2
4 L
Pgina06
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CONDUCTIVIDAD
V='(0.0505m)2
4 0.15m
V=3.004104 m3
P' &' +# &/ #&/)8>:
( VS)!l=3.004104 m3
0.0278m2 =0.010807m
L+#@' %// +: 9/&' (#& C% < (#:,8(/( (#& )'#
C%35 @-= !33 @$3
R##$%&//:(' #: 1J
0.00679 s1=
h
(385 )K$K)(8933K$m3 ) (0.010807m )
h=252.3718 W
m2K
D##$8:/)8>: (# &/ )':(+)898(/( ;$8)/
S# ,/# +#
h & S
& C% & V=
h & (V/S )k
& [ k & t & C% & (V/S )2 ]D':(#
k
& C%=a < Biot=Bi=
h & (V/ S )k
E:':)#,
Pgina07
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CONDUCTIVIDAD
[ h
& C% &( VS) ]=Bi &
(V /S )2
C'$'
ln [ TTToT]=[ h S
C%V]&t
ln [ TTToT]=Bi &
(V/ S )2& t
P' &' +# /& :/& ,# '8#:# ln[ TTT0T]=Bi*Fo
A& @/)/ ln [ TTT0T]vs* Fo = &/ %#:(8#:# #, Bi
S# /,+$# +: 9/&' (#
/,+$8(' 410 $-
Bi=h *(
V
S)
Kasumido
Bi=
252.3718 W
m2K(0.0003
m3
0.0278m2 )
410 W
m K
Bi=0.00665
?/&&/:(' (8+,898(/( ;$8)/ \J
Pgina08
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CONDUCTIVIDAD
=kasumido
* C%
T#:#$', )'$' (/' #>8)'=8933
K$
m3
a300K < C%=385
)
k$ K
R##$%&//:(' (/',
=
410 W
m K8933
K$
m3 .385
)
k$ K
= 0.00011!214
C/&)+&/:(' #& :K$#' (# F'+8# F'J
Fo= * t
(V
S
)
2
R##$%&//:(' (/', #: &/ #)+/)8>: /:#8'= +#(/
Fo= 1.020704145. t
D':(# 8#$%'
G/)/:(' F' 9,.ln[ TTToT] D# &/ /&/ N 13 ,# '8#:#
P#:(8#:# -B8 -0.0067 ] 9# @*)' N7
A %/8 (#& 9/&' (#& :K$#' (# B8' ,# (##$8:/ &/ )':(+)898(/( ;$8)/
Pgina0?
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CONDUCTIVIDAD
Bi=
h (VS)ke&%e#imental
D#,%#"/:(' #& 9/&' (# #%#8$#:/&
ke&%e#imental= 407.07!W
m K
C'$%//:(' 9/&'#,= #& kasumido + ke&%e#imental = (#,98/)8>: 0.712J %' /:' (##$',
)':8:+/ )': &/ 8#/)8>:.
C':8:+/:(' )': &/ 8#/)8>:= '#:#$', ke&%e#imental= @79@7?2W
m K
(#,98/)8>:0.00005776 )': #,%#)' / +: kasumido=407.079 J
!ora !allaremos el " de error relati#o con respecto al #alor terico
e##o#=|valo# te, #icovalo# e&%e#imentalvalo# te , #ico |.100
e##o#=|401407.079401 |.100
e##o#=1.51
ANLOGAMENTE= #/&8/$', #& $8,$' %')#(8$8#:' (# )*&)+&' %// &/ // (# /&+$8:8'
Pgina@
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CONDUCTIVIDAD
DIAGRAMA DE FLUJO DE CLCULO DE LA CONDUCTIVIDAD TERMICA
Pgina1
N SI?/&&/$', &/ %#:(8#:# - B8C/&)+&/$', #& 9/&'(# ke&%e#imental
kasumido=ke&%e#imental
G/)/ F' 9,.
C/&)+&/ #& :K$#' (#F'+8# / %/8 (#& 9/&'
(# kasumido
A,+$8 9/&' (#)':(+)898(/( ;$8)/
kasumido
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CONDUCTIVIDAD
GRAFICAS
GRFICO N1:C+9/ (# #:8/$8#:' (# &/ // (# /&+$8:8'
0 50 100 150 200 250 300 350 400 4500.000
0.200
0.400
0.600
0.00
1.000
1.200
(T)T*+,(T$)T*+ =. Ti"/$
#i"/$
(T)T*+,(T$)T*+
GRFICO N2: L:T-TJT'-TJW 9, 8#$%' %// #& /&+$8:8'
Pgina2
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CONDUCTIVIDAD
0 50 100 150 200 250 300 350 400 450
-5.000
-4.500
-4.000
-3.500
-3.000
-2.500
-2.000
-1.500
-1.000
-0.5000.000
J - 0.01 - 0.26R^ 0.!!
Ln'(T)T*+,(T$)T*+- =. Ti"/$
#i"/$
Ln'(T)T*+,(T$)T*+-
GRFICO N0:C+9/ (# #:8/$8#:' (# &/ // (# )'#
Pgina0
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CONDUCTIVIDAD
0.000 100.000 200.000 300.000 400.000 500.0000.000
0.200
0.400
0.600
0.00
1.000
1.200 J 16.!1 _-0.!R^ 0.!1
(T)T*+,(T$)T*+ =. Ti"/$
#i"/$
(T)T*+,(T$)T*+
GRFICO N: L:T-TJT'-TJW 9, 8#$%' %// #& )'#
0.000 100.000 200.000 300.000 400.000 500.000
-3.500
-3.000
-2.500
-2.000
-1.500
-1.000
-0.500
0.000
J - 0.01 - 0.2!R^ 0.!
Ln'(T)T*+,(T$)T*+- =. #i"/$
#i"/$
Ln'(T)T*+,(T$)T*+-
Pgina
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CONDUCTIVIDAD
GRFICO N3:D8,8+)8>: (# #$%#/+/, /:,8'8/, %// +: :K$#' (# B8'#: &/ // (# /&+$8:8' I 8#/)8>:J
0.0000 100.0000 200.0000 300.0000 400.0000
-5.000
-4.500
-4.000
-3.500-3.000
-2.500
-2.000
-1.500
-1.000
-0.500
0.000
J - 0.01 - 0.26R^ 0.!!
Ln'(T)T*+,(T$)T*+- =. F$
F$
Ln'(T)T*+,(T$)T*+-
GRFICO N6:D8,8+)8>: (# #$%#/+/, /:,8'8/, %// +: :K$#' (# B8'#: &/ // (# /&+$8:8' II 8#/)8>:J
Pgina3
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CONDUCTIVIDAD
0.0000 100.0000 200.0000 300.0000 400.0000
-5.000-4.500-4.000-3.500-3.000-2.500-2.000-1.500-1.000-0.5000.000
J - 0.01 - 0.26R^ 0.!!
Ln'(T)T*+,(T$)T*+- =. F$
F$
Ln'(T)T*+,(T$)T*+-
GRFICO N7:D8,8+)8>: (# #$%#/+/, /:,8'8/, %// +: :K$#' (# B8'#: &/ // (# )'# I 8#/)8>:J
0 50 100 150 200 250 300 350 400 450 500
-3.5000
-3.0000
-2.5000
-2.0000
-1.5000
-1.0000
-0.5000
0.0000
J - 0.01 - 0.2!R^ 0.!
Ln'(T)T*+,(T$)T*+- =. F$
F$
Ln'(T)T*+,(T$)T*+-
Pgina6
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CONDUCTIVIDAD
GRFICO N8:D8,8+)8>: (# #$%#/+/, /:,8'8/, %// +: :K$#' (# B8'#: &/ // (# )'# II 8#/)8>:J
0 50 100 150 200 250 300 350 400 450
-3.5000
-3.0000-2.5000
-2.0000
-1.5000
-1.0000
-0.5000
0.0000
J - 0.01 - 0.2!R^ 0.!
Ln'(T)T*+,(T$)T*+- =. F$
F$
Ln'(T)T*+,(T$)T*+-
&/, '%#@+:/,
)'$' ,# (#:# / &', @+%', /(8$#:,8':/,= #: )':,8,#:= #"#$%&' 8'
2J #: )':,8,# #& $#'(' (# #,8,#:)8/ 8:#:/= ,# ,+%':# &/, @/(8#:# (# #$%#/+/ :' ,)':,8(#/: (#:' (#& ,'&8('`
3J #, )':(+)898(/(
4J &/ @/)/ (# )':(+)898(/( :' ,/ )+9/`
5J #& 8' 8#:# ,# $#:' (# 10.1
La resistencia trmica de un material representa la capacidad del material de oponerse al flujo
delcalor
La conductividad trmica es una propiedad fsica de los materiales que mide la capacidad
deconduccin de calor.En otras palabras la conductividad trmica es tambin la capacidad de una
sustancia de transferir laenerga cinticade sus molculas a otras molculas adyacentes o asubstancias con las que no est en contacto
La conveccinse produce nicamente por medio de materiales fluidos. Lo que se llamaconveccinen
s! es el transporte de calor por medio del movimiento del fluido
Pgina7
http://es.wikipedia.org/wiki/Calorhttp://es.wikipedia.org/wiki/Propiedad_f%C3%ADsicahttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Energ%C3%ADa_cin%C3%A9ticahttp://es.wikipedia.org/wiki/Fluidohttp://es.wikipedia.org/wiki/Calorhttp://es.wikipedia.org/wiki/Propiedad_f%C3%ADsicahttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Energ%C3%ADa_cin%C3%A9ticahttp://es.wikipedia.org/wiki/Fluido7/26/2019 Conductividad La Firme
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CONDUCTIVIDAD
l coeficiente de pelcula o coeficiente de conveccin! representado "abitualmente como "!
cuantifica la influencia de las propiedades del fluido! de la superficie y del flujo cuando se produce
transferencia de calor por conveccin.
En fsicae ingenierael #mero de $ourier %$o& o 'dulo de $ourier! llamado as en "onor a (osep"
$ourier!es un nmero adimensionalque caracteriza la conduccin de calor.Conceptualmente es la
relacin entre la velocidad de la conduccin de calor y la velocidad del almacenamiento de energa.)e
define como*
http://es.wikipedia.org/wiki/Fluidohttp://es.wikipedia.org/wiki/Convecci%C3%B3nhttp://es.wikipedia.org/wiki/F%C3%ADsicahttp://es.wikipedia.org/wiki/Ingenier%C3%ADahttp://es.wikipedia.org/wiki/Ingenier%C3%ADahttp://es.wikipedia.org/wiki/Joseph_Fourierhttp://es.wikipedia.org/wiki/Joseph_Fourierhttp://es.wikipedia.org/wiki/Joseph_Fourierhttp://es.wikipedia.org/wiki/N%C3%BAmero_adimensionalhttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Energ%C3%ADahttp://es.wikipedia.org/wiki/Energ%C3%ADahttp://es.wikipedia.org/wiki/Fluidohttp://es.wikipedia.org/wiki/Convecci%C3%B3nhttp://es.wikipedia.org/wiki/F%C3%ADsicahttp://es.wikipedia.org/wiki/Ingenier%C3%ADahttp://es.wikipedia.org/wiki/Joseph_Fourierhttp://es.wikipedia.org/wiki/Joseph_Fourierhttp://es.wikipedia.org/wiki/N%C3%BAmero_adimensionalhttp://es.wikipedia.org/wiki/Conducci%C3%B3n_de_calorhttp://es.wikipedia.org/wiki/Energ%C3%ADa