Conductividad La Firme

7/26/2019 Conductividad La Firme

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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;, (#& )+/& +


8/48

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(' /(


9/48

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/& (#& )+#%'

V) 9'&+$#: (# )':'&

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

=

(h

V

Sk)(

t

( VS)2 )

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%ADa


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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>:

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%#:(8#:# -0.0130 -0.0130

A&/ $2,J0.0000!3

60.0000!2

@/)/

$J 23!.75 23!.75 (#,98/)8>: 0.01 0.0000

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TABLA N16T/&/ (# #,+&/(', (# &/, 8#/)8':#, %// #& )'#

9/&'#, /,+$8(',1#

8#/)8>:2(/

8#/)8>: /,+$8('

$J410 407.07!

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Pgina28


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8#/)8>:2(/

8#/)8>:

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@/)' $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


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L', 9/&'#, (# &', )'#)8#:#, (# )':9#))8>: &8# '#:8(', +#':

h!luminio 23.67 $2J < hCo"#e 252.37 $2J (':(# #& /&+$8:8'

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T'$/ &/ $/: (# /8,&/$8#:' ;$8)'.

BIBLIOGRAFIA

Pgina02


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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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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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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

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2

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S=0.0278m2

V'&+$#: (# &/ //

V=' (

2

4 L

Pgina06


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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

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h & (V/ S )k

E:':)#,

Pgina07


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[ h

& C% &( VS) ]=Bi &

(V /S )2

C'$'

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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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=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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Bi=

h (VS)ke&%e#imental

D#,%#"/:(' #& 9/&' (# #%#8$#:/&

ke&%e#imental= 407.07!W

m K

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)':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'

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DIAGRAMA DE FLUJO DE CLCULO DE LA CONDUCTIVIDAD TERMICA

Pgina1

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C/&)+&/ #& :K$#' (#F'+8# / %/8 (#& 9/&'

(# kasumido

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kasumido


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GRFICO N: L:T-TJT'-TJW 9, 8#$%' %// #& )'#

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GRFICO N7:D8,8+)8>: (# #$%#/+/, /:,8'8/, %// +: :K$#' (# B8'#: &/ // (# )'# I 8#/)8>:J

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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/Fluido


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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

Documents

Conductividad La Firme