FLUIDIZACION Y PERDIDAS ATRAVES DE LECHOS POROSOS
ORIANA RIVERA ROLDAN ANGIE LICET LORA GRISALES JULIAN FELIPE CAPERA SAAVEDRA BRIAN CAMILO RIAÑO URREGO
UNIVERSIDAD PONTIFICIA BOLIVARIANA
FACULTAD DE INGENIERIA QUIMICA LABORATORIO OPERACIONES UNITARIAS: MOMENTUM MEDELLIN, COLOMBIA 2016
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FLUIDIZACION Y PERDIDAS ATRAVES DE LECHOS POROSOS
ORIANA RIVERA ROLDAN ANGIE LICET LORA GRISALES JULIAN FELIPE CAPERA SAAVEDRA BRIAN CAMILO RIAÑO URREGO
INFORME DE LABORATORIO N !
P"D# HADER H# ALZATE GIL
UNIVERSIDAD PONTIFICIA BOLIVARIANA
FACULTAD DE INGENIERIA QUIMICA LABORATORIO OPERACIONES UNITARIAS: MOMENTUM MEDELLIN, COLOMBIA
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1.OBJETIVOS 1.1OBJETIVOS FLUIDIZACION 1.1. 1. 1.11 OBJET OBJETIV IVO O GENE GENERA RAL L E$%&'()* + -./.*%)/(+%. '+ & +-". '+ )*%-&)$ $3(')$, .* + -&) )$) &) -.**(+%+ '+ 4&('. )$-+'+%+
1.1. 1. 1.22 OBJE OBJETI TIVO VOS S ESPEC ESPECIF IFIC ICOS OS • C.$%*&(* ) -&*5) '+ -)') '+ *+$(3 5$# V+.-(')' )*) & +-". &+ $+ '+$+) 4&('(7)* • # C.$%*&(* ) -&*5) '+ .*.$(')' 5$# V+.-(')' )*) + /($/. +-".#
1.2 OBJETIVOS PERDIDAS A TRAVES TRAVES DE LECHOS POROSOS 1.2. 1. 2.11 OBJET OBJETIV IVO O GENE GENERA RAL L O8%++* )$ *(-()+$ -)*)-%+*$%(-)$ '+ & +-". +/)-)'.# 1.2. 1. 2.22 OBJE OBJETI TIVO VOS S ESPEC ESPECIF IFIC ICOS OS • C./*+'+* ) "('*9&(-) '+ &) %.**+ +/)-)')# D+%+*/()* ++*(/+%)/+%+ &%.$ '+ -)*;) < '+ (&')-(3 )*) + $($%+/) )(*+=) )(*+=);&) ;&) &+ 4&<+ 4&<+ + -.%*) -.%*)-.* -.**(+ *(+%+ %+ + &) %.**+ %.**+ +/)-) +/)-)') ') -. )(.$ )(.$ *)$-"(;#
2. DATOS L) *9-%(-) $+ '+$)**.3 + + )8.*)%.*(. '+ .+*)-(.+$ &(%)*()$ '+ ) &(5+*$(')' .%(4(-() 8.(5)*()) $+'+ M+'+# E$%+ %*)8)>. ++*(/+%) -.$($%(3 + '.$ )*%+$ .$ -&)+$ +*) ))(7)* + -./.*%)/(+%. '+ & +-". '+ )*%-&)$ $3(')$ + '.'+ )$) &) -.**(+%+ '+ 4&('. )$-+'+%+ ?4&('(7)-(3@ < ))(7)* )$ *'(')$ ) %*)5$ '+ +-".$ .*.$.$ + '.'+ $+ .8$+*5)*9 %.**+ $+-) < %.**+ "&/+')'#
2.1 FLUIDIZACION FLUIDIZACION L) 4&('(7)-(3 +$ &) .+*)-(3 /+'()%+ ) -&) & $3('. 4()/+%+ '(5('('. ) -.%)-%. -. & 4&('. 4.*/) &) /+7-) 4&(') &+ &+'+ /)(&)*$+ -./. %)# A -.%(&)-(3, $+ /.$%*)*9 .$ ')%.$ +-+$)*(.$ )*) .$ -9-&.$ -.**+$.'(+%+$ )*)
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Tabla 1. Datos experimentales para lecho de partículas sólidas (fluidización)
eInici al
0.4 5
Dinter
L
no
tubo
(m) (m) 0.04 1.2 9 2
Z 0[m μ[Pa D p[m] ] s] 0.18
0.004 45
0.001
]
Factor Rotme tro
1000
0.0628
ρ l[kg/m 3
S(+'. eInicial! porosidad inicial del lecho, Dinterno: Diámetro interno, Ltubo ! Longitud del tuo, Z tuo, Z 0! altura inicial del lecho, D p! diámetro de la part!cula, μ! part!cula, μ! "iscosidad "iscosidad dinámica, ρ l l : densidad del #uido. $n esta práctica se pretende conocer la altura de un lecho "ariando un #u%o de &orma ascendente ' descendente para luego oser"ar (ue pasa con el lecho (ue pasa de estar )%o a #uidi*ado, a continuaci+n, se oser"ara los datos eperimentales otenidos entonces:
Tabla Tabla 2. Altura dl l!"# $ d%&r'!%a( d )r(%*'+&lu,# a(!'d't / 12 16 20 24 28 2 6 40 44 48 52 56 60 66 2 8 84 90 96 100
-lu%o scendente /3galmin L3cm ∆in72 0.56 1.0048 1.256 1.502 1.584 2.0096 2.2608 2.512 2.62 .0144 .2656 .5168 .68 4.1448 4.5216 4.8984 5.252 5.652 6.0288 6 28
1.5 1.5 1 .8 2.1 2.4 2. 2. 2 . 2. 2.9 .1 . .4 . 4 .6 5.1 54
18 18 18 18 18 18 18 18 18 18 18 6.1 . 9.5 12. 16.4 22.9 6. 48.2 54 9
Ltotalm 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.061 0.0 0.095 0.12 0.164 0.229 0.6 0.482 0 549
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&+ )$ 5)*()-(.+$ '+ 4&>. 4&+*. '($/(&<+'. -)') 5+7 ")$%) +;)* ) &%. '.'+ + +-". +$ 4(>., %./)'. *+;($%*. '+ ) -)') '+ *+$(3 -)') 5+7 &+ $+ 5)*()8) + 4&>.# L.$ ')%.$ .8%+('.$ 4&+*. .$ $(;&(+%+$:
T)8) # Altura dl l!"# $ d%&r'!%a( d )r(%*'+&lu,# d(!'d't
/ 100 96 90 84 8 2 66 60 56 52 48 44 40 6 2 28 24 20 16 12
-lu%o descendente /3galmin L3cm ∆in72 6.28 6.0288 5.652 5.252 4.8984 4.5216 4.1448 .68 .5168 .2656 .0144 2.62 2.512 2.2608 2.0096 1.584 1.502 1.256 1.0048 0.56
5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 4.8 4.5 .6 .4 2.8 2.5 2.1 1.8 1.5
54.9 48 41 5.5 2 28 26 2 22 20.8 1.8 14.8 12.9 9 0 0 0 0 0 0
Ltotalcm 5.9 51 44 8.5 5 1 29 26 25 2.8 20.8 1.8 15.9 12
2.2 LECHOS POROSOS
S+ -.$('+*) & +-". .*.$., ) &+ +$%9 4.*/)'. .* )*%-&)$ -.%(;&)$ &+ '+>) +%*+ +)$ "&+-.$ . +$)-(.$ (8*+$ < ) %*)5$ '+ +.$ -(*-&) + 4&('.# L.$ ')%.$
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Tabla 4 Datos experimentales de lechos porosos
ρ
ρlm
aire
=gm 1.068
=gm 826
L m 0.2
plocalpa
D cm 25
normal pa 26#6 10125
E '.'+: ρair aire : densidad del aire a la altura de ;edell!n,
ρlm : densidad del
l!(uido en el man+metro, L: altura del lecho, D: diámetro del lecho, local: resi+n de ;edell!n, normal : presi+n normal.
$n esta segunda parte de la práctica se reali*aron dos eperimentos los cuales &ueron: torre seca, en donde solo se hac!a pasar un #u%o de aire "ariale por el lecho ' se e"aluaa el camio de presi+n en el gas. La otra parte corresponde a torre h
Tabla 5 Datos experimentales de flujo en torre seca
Ensay o " 2 3 # $
Torre seca Flujo de Flujo de aire aire 3 (ft /in! (3/s! 0.055108 160 8 0.009144 150 8 0.0660201 140 9 0.0615258 10 9 0.056615 120 9
'
90
0.0424486 9
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Tabla Datos experimentales de flujos en torres h!meda
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Torre Heda Flujo Flujo de de a)ua aire Flujo de 3 3 Ensay (ft /in (ft /i aire o ! n! (3/s! 0.01511 " 80 155 6 0.00914 2 80 150 48 0.066020 3 80 140 19 0.061525 # 80 10 89 0.05661 $ 80 120 59 0.05191 % 80 110 29 0.041942 & 80 100 99 0.042448 ' 80 90 69 0.0554 * 80 80 9 0.0060 "+ 80 0 09 0.028165 "" 80 60 9
-. ODELO DE C/LCULO 0 RESULTADOS
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ρ Part í cula=
Masa Part í cula
?1@
Volumen Part í cula
T) T) &+ + 5.&/+ '+ ) )*%-&), -.$('+*)'. &+ +$ &) +$4+*) +$%9 ')'. .*: Volumen Part í cula=
πd
3
?2@
6
S(+'. V: 5.&/+ < ': '(9/+%*. '+ ) )*%-&), -. .$ ')%.$ '+ ) %)8) 1 + 5.&/+ $+*(): 3
V =
π ( 0.00445 ) 6
4.614$>08 m
C. )$ +-&)-(.+$ ?1@ < ?2@ $+ -)-&)*. . ')%.$ '+ ) $(;&(+%+ %)8):
Tabla " Datos de la partícula fluidizada o a fluidizar
,iensiones de la -artcula 3) # 4.61$>08 p(m 0.00000 $ p(%g) 5 3 & p(kg/m 152.95 ) D p[m] 0.00445
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'+ ) 5+.-(')' '+ 4&('., )*) . -&) $+ %(++ + -&+%) ) 4&+*7) '+ 4.%)-(3 '+ &('. '+$)7)'., ')') .*: ∆ P Lecho A= W Lecho− Empuje
?@ D.'+, P+-".: C)') '+ *+$(3 ) %*)5$ '+ +-".# ?lech
: P+$. P+$. '+ '+ ++-". ".## W Lecho
( 1 ε ) AL ρ Partícula g
=
−
?@ A'+/9$ Empuje=( 1 −ε ) AL ρ Fluido g
?@ R++/)7)'. ?@ < ?@ + ?@, $+ %(++ &+ ) -)') '+ *+$(3 ) %*)5$ '+ +-". +$: ∆ P Lecho A = (1 −ε ) AL ρ Partícula g −( 1− ε ) AL ρ Fluido g ∆ P Lecho=( ρ Partícula− ρ Fluido )∗( 1 −ε )∗ Lg
?6@ ?@
S( $+ $&.+ &+ ) /)$) '+ $3('.$ +*/)+-+ -.$%)%+ '&*)%+ ) 4&('(7)-(3, $+ +;) )
( 1− ε ) L =( 1− ε ) L 0
D.'+, @: @
P.*.$(')' '+ +-".# P (' ' ( ( ( ' "
0
?@
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V s=
Q Au!o
?10@
-.1 L!"# 3)a!ad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
?11@
Aiendo p: presi+n, B: "olumen ' C: temperatura para corregir el #u%o se di"ide en un tiempo t. entonces en tonces la ecuaci+n 11 (uedar!a: P1 " 1 0= P0 " 0 1 12 $n dond donde e el punt punto o cero cero son dato datos s a cond condic icio iones nes estánd estándar ar ' el punt punto o 1 a condiciones reales entonces: P0 " 0 1 " 1= P 1 0 1 Aiendo : P0 E 10125 pa,
P1 E26#6 )
0 2 -,
1 26 - <
4&>. '+ )(*+ &+ $+ +-&+%*) + ) %)8) < 6# E>+/. '+ ) %)8) -.
" 0 0.055108 m s los cálculos serian:
" 0
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Flujo $eal
( )= Pie 3 min
escala∗0,0253
?12@ E+*(/+%)/+%+ ) *+$(3 $+ /('(3 -. & /)3/+%*. + U# -..-(+'. ) )%&*) '+ 4&('. /)./%*(/)./%*(-., ., $& '+$(')' '+$(')' < + 5).* '+ ) ;*)5+')' $+ &+'+ +-.%*)* +-.%*)* ) *+$(3 ++*(/+%) '+ ) $(;&(+%+ /)+*): ∆ P ρ% gh =
?1@
D3'+: 4 -.**+$.'+ -.**+$.'+ ) ) '+$(')' '+ 4&('. /)./%*(-., ": '(4+*+-() '+ )%&*) + + /)3/+%*. < ;: ) ;*)5+')'#
-.2 R(ultad#(4 -.2.1 R(ultad#( &lu%d%a!%*'4
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1(3/s!
Tabla " lechos $ altura de diferencia de
descendente
'lustración 1 porosidad s elocidad (flujo ascendente $ descendente)
5l#!%dad
-.2.1
0.00000 0 0.00000 40 0.00000 50 0.00000 60 0.00000 0 0.00000 80 0.00000 90 0.00001 00 0.00001 09 0.00001 19 0.00001 29 0.00001 9 0.00001 49 0.00001 64
Pe-erien ( Pe-eriental (Pa! Pa! tal .65 .65 448.602 52.0869 59.816 62.540 62.540 62.540 62.540 22.581 4.260 4.260 4.260 2.159
e" e"
(/s! (/s!
0.00158 6 0.002111 0.45 15 0.00268 0.45 94 0.00166 0.45 0.00694 0.45 51 0.004222 0.45 0.00450 0.45 09 0.0052 0.45 88 0.005805 0.45 66 0.006 0.45 45 0.006861 0.45 24 0.589211 0.0089 62 0 0.61485 0.00916 99 81 0.00808 0.64 49 0.45
#esultados de altura de Tabla % % #esultados #esultados de lechos $ diferencia de presión&flujo ascendente presión& flujo
'lustración D* +s +elocidad (flujo ascendente $ descendente)
R(ultad#( 3%'%3a d &lu%d%a!%*'6 R%a7#8 R(ultad#( l!"#( 3)a!ad#(4
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0.06152589
0.08159892 4 0.05042 9
2.6 0.0814 08 65 291.41 0.080922 28 82
0.0566159
0.0699419 4
26.12 0.0469 84 99
0.05 0.0519 191 12 29 9
0.06 0.0641 411 144 44
210.46 0.0684 48 15
0.04194299
0.05828494 5
186.18 0.062248 04 2
0.04244869
0.05245645 1
1.61 0.05602 16 49
0.06602019
1 > 1.05944 > 1.091929 > 1.126691 1 > 1.16449 > 1.20582 4 > 1.251629 8
2.11825 66 2.6050 2.56581 2.464041 1 2.41095 66 2.29516 5
A )*%(* )*%(* '+ .$ ')%.$ '+ ) %)8) ! $+ *+)(73 ) $(;&(+%+ (&$%*)-(3:
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O8%+('.$ .$ *+$&%)'.$ '+ %.**+ +/)-)') $+-), $+ /&+$%*) .$ ')%.$ .8%+('.$ )*) %.**+ +/)-)') "/+'), )*) ) -&) $+ &%((73 );&) )*) "&/+'+-+* < ))(7)* + *.-+$.# L.$ ')%.$ .8%+('.$ $+ /&+$%*) ) -.%(&)-(3: 'lustración 4 #esultados de torre empacada h!meda
Flujo de a)ua(ft3/ in! 80 80
Flujo de aire (3/s! 0.0151 16 0.0091 448
ujo aire corre)ido( 3/s! 0.150569442 0 145126
P (Pa! 0 LO0 (0! 10.26 0.160808 > 28 16 0.96919 898.522 0.155620 > 8 8 0.8092
LO0 ( P/L! .25589 .09490 8
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'lustración 5 lo( */) +s /o (0)
Lo) (4Pe-!/L 5s. Lo) (0! .5 .2 & E 2.52 G 5.1 HI E 0.95
2.9 2.6 2.
>1 .
>1.2
>1.1
>1
>0.9
>0 .8
2 >0.
A partir de la gráfica se determinaron los puntos de carga e inundación los cuales se subrayaron con amarillo (punto de carga) y azul (punto de inundación), el punto de carga se caracteriza por el cambio de pendiente de la recta y el punto de inundación porque es el punto final después del cambio de pendiente.
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> 1.02981 1 > 1.0809 6 > 1.18925 6 > 1.20582 4
2.42929 0 2.5009 82 2.2518 81 2.16011 18
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+-". +-". + 4.*/) 4.*/) '+ 8&*8&> 8&*8&>)$ )$ < $3. $3. -.%)-.%)-%) %) '(*+-% '(*+-%)/+ )/+%+ %+ -. &) +&+ +&+) ) -)%(')' '+ $3('. + &) '+;)') +5.%&*)# •
Se obseró el fenómeno que ocurre en una torre empacada, entendiendo sus caracter!sticas principales, para ello se midieron a diferentes caudales de aire para la torre seca y de aire y agua para la torre "#meda con sus respectias ca!das de presión, para la segunda se obtuieron los puntos de carga y de inundación mencionados anteriormente.
•
$a "umedad en el lec"o, ocasionan aumento en la resistencia al flu%o de aire y por lo tanto en la ca!da de presión. & además que un e'ceso en el flu%o de aire trae como consecuencia la inundación de la torre, y por lo tanto un cese en la operación de la misma.
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