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Department of Chemical & Biomolecular Engineering
THE NATIONAL UNIVERIT!
of IN"A#ORE
Chem$ Eng #roce%% Laorator' II
E(periment )*
)lui+i,ation
Name : Lin Ming Jiang
(A0107784X)
Neo Yong Sheng Rennie
(A0107720R)
Theng Ben Jie Benjamin
(A0107726)
La! "#o$% : "#o$% 8
&a'e o %'* : 06 Ma# 2014
"RA& :
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Experiment F2 Fluidization
Content #age
Content #age Numer
-$ INTRODUCTION
1.1 Aim of Experiment
1.2 Background Information1.2.1 Packed Bed
1.2.2 Minimum Fluidization Velocity
1.2. !"eoretical Approac"
./0
##$%
*$ 1ATERIAL AND #ROCEDURE
2.1 Material& and E'uipment2.2 Additional Experimental Information
2. (afety Precaution&2.# Procedure&
2/3
))
**
.$ CALCULATION AND REULT -4/*-
5$ DICUION
#.1 +ompari&on of Experimental re&ult.2 Error Analy&i&
#. Impro,ement for t"i& experiment
**/*6
22$2-2
2%
6$ CONCLUION *0
7$ RE)ERENCE *2
A##ENDICE A% attache+
2
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Experiment F2 Fluidization
-$ INTRODUCTION
-$-$ Aim of E(periment
!"e aim of t"i& experiment to &tudy t"e follo/ing&0
a. Mec"ani&m of fluidi&ation and atc" fluidi&ation in a &olid$fluid &y&tem.
. Effect of &uperficial fluid ,elocity on t"e ed c"aracteri&tic& and t"e pre&&ure drop
acro&& t"e ed.
c. Effect of particle &ize on t"e minimum fluidi&ation ,elocity and t"e terminal
&ettling ,elocity.
-$*$ Bac8groun+ Information
-$*$-$ #ac8e+ Be+
A packed ed i& u&ually a "ollo/ cylindrical ,e&&el u&ually a pipe or tue t"at i& randomly filled
/it" packing material. !"ey may al&o contain catalytic particle& or ad&orent&. Packed ed& are
typically utilized to impro,e contact et/een t/o p"a&e& $ for our experiment &olid and fluid.
!ype& of packed ed include packed ed reactor& $ tuular reactor& filled /it" &olid cataly&t&.
!"e&e are fre'uently u&ed to catalyze ga& reaction&. !"e ad,antage of u&ing packed ed reactor&
i& a "ig"er con,er&ion compared to ot"er catalytic reactor& per unit /eig"t of cataly&t. !"e
reaction take& place on t"e expo&ed &urface& of t"e cataly&t. Anot"er type of packed ed i& a
packed column u&ed for &eparation proce&&e& &uc" a& a&orption &tripping and di&tillation. !"e
de&ign of packed ed a&ed unit operation& i& "ig"ly influenced y t"e packing matrix /"ic" i&
in turn go,erned y t"e morp"ology and dimen&ion& of t"e particle&. 3ptimum de&ign of
particle& can oo&t catalytic acti,ity and tran&port p"enomena of t"e &y&tem. Farication co&t&
and re&i&tance to p"y&ical /ear and tear are factor& t"at al&o &"ould e taken into account.
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Experiment F2 Fluidization
-$*$* 1inimum )lui+i,ation Velocit'
Flo/ t"roug" a packed ed can e regarded a& fluid flo/ pa&t &ome numer of &umerged
o4ect&. In mo&t ca&e& t"e o4ect& are uniform &p"erical particle& of diameter 5 (V. 6"en t"ere i&
no flo/ t"roug" t"e packed ed t"e net gra,itational force act& do/n/ard. 6"en flo/ egin&
up/ard friction force& act up/ard and counteralance t"e net gra,itational force. For a "ig"
enoug" fluid ,elocity t"e friction force i& large enoug" to lift t"e particle&. At t"e on&et of
incipient fluidization 7packed ed ecome& fluidized8 t"e &uperficial fluid ,elocity i& kno/n a&
t"e minimum fluidization ,elocity 9mf. 9mfincrea&e& /it" particle &ize and particle den&ity and i&
affected y fluid propertie&.
-$*$. Theoretical Approach
6"en a packed ed of particle& i& &u4ected to a &ufficient "ig" up/ard ,elocity flo/ of fluid a
point i& reac" /"en t"e particle& are lifted y t"e fluid t"e &eparation of t"e particle& increa&e&
and t"e ed ecome& fluidized. !"e /eig"t of t"e particle& i& &upported y t"e drag force exerted
y t"e fluid on t"e particle& and t"e particle& ecome freely &u&pended or fluidized.
6"en t"e fluid flo/ed t"roug" t"e ed of particle& t"ere i& a pre&&ure lo&& in t"e fluid due to t"e
frictional re&i&tance increa&e& /it" increa&ing fluid flo/. At t"e point of fluidization t"e up/ard
drag force exerted y t"e fluid on t"e particle& ecome e'ual to t"e apparent /eig"t of t"e
particle& in t"e ed. !"e &uperficial fluid ,elocity at /"ic" t"e packed ed ecome& a fluidized
ed i& kno/n a& t"e minimum fluidization ,elocity
A force alance acro&& t"e fluidized ed can e expre&&ed a& follo/
gAHPA mffpmf = 1 718
6"ere :P ; Pre&&ure drop acro&& t"e ed
A ; +ro&&$&ectional area of ed
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Experiment F2 Fluidization
p ; ?en&ity of particle&
f ; ?en&ity of fluid
3r
( )( )gH
Pfpmf
mf
=
1 728
!o deri,e an e'uation for minimum fluidization ,elocity umf. 6e can e'uate t"e expre&&ion for
pre&&ure lo&& in a fluidized ed 7E'n. 18 /it" t"e expre&&ion for pre&&ure lo&& acro&& a packed
ed. !"e Ergun e'uation i& u&ed for all type& of flo/ in packed ed.
psps D
u
D
u
H
P
2
2
2 817
%-.1
817
1-@
+
=
78
6"ere > ; Bed ,oid fraction
& ; &"ape factor
?p ; particle &ize
u ; (uperficial li'uid ,elocity
; Ci'uid ,i&co&ity
< ; Bed "eig"t
By e'uating t"e expre&&ion of Ergun e'uation /it" t"e pre&&ure lo&& at t"e point of incipient
fluidization a 'uadratic e'uation for minimum fluidization ,elocity umfi& otained.
ps
mff
mf
mf
ps
mf
mf
mf
fsmf
D
u
D
ug
2
22
2 817%-.1
8171-@88717
+
=
7#8
For &mall particle& only t"e laminar flo/ term of Ergun e'uation i& &ignificant. !"e e'uation for
minimum fluidization ,elocity /"en Dep2@
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Experiment F2 Fluidization
=
mf
mffsps
mf
gDu
11-@
22
7-8
In ,ie/ of large particle& t"e laminar flo/ term /ill ecome negligile and u mf ,arie& /it"
&'uare root of t"e particle &ize. !"e e'uation for Dep1@@@
( ) 2=1%-.1
=
f
mffsps
mf
gDu
78
!"roug" plot of pre&&ure drop acro&& t"e ed again&t flo/rate or t"e &uperficial ,elocity 7a&
&"o/n elo/ in Figure.1 t"e minimum fluidization ,elocity could t"e otained grap"ically.
Figure.1: Example of a fluidization plot
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Experiment F2 Fluidization
At fir&t /"en t"ere i& no flo/ t"e pre&&ure drop zero and t"e ed "a& a certain "eig"t. A& /e
proceed along t"e rig"t arro/ in t"e direction of increa&ing &uperficial ,elocity tracing t"e pat"
AB+? t"e pre&&ure drop gradually increa&e& /"ile t"e ed "eig"t remain& fixed. !"i& i& a region
/"ere t"e Ergun e'uation for a packed ed can e u&ed to relate t"e pre&&ure drop to t"e ,elocity.
6"en t"e point B i& reac"ed t"e ed &tart& expanding in "eig"t /"ile t"e pre&&ure drop le,el& off
and no longer increa&e& a& t"e &uperficial ,elocity i& increa&ed. !"i& i& /"en t"e up/ard force
exerted y t"e fluid on t"e particle& i& &ufficient to alance t"e net /eig"t of t"e ed and t"e
particle& egin to &eparate from eac" ot"er and float in t"e fluid. A& t"e ,elocity i& increa&ed
furt"er t"e ed continue& to expand in "eig"t ut t"e pre&&ure drop &tay& con&tant. It i& po&&ile
to reac" large &uperficial ,elocitie& /it"out "a,ing t"e particle& carried out /it" t"e fluid at t"e
exit. !"i& i& ecau&e t"e &ettling ,elocitie& of t"e particle& are typically muc" larger t"an t"e
large&t &uperficial ,elocitie& u&ed.
After fluidization it &ettle& ack into a more loo&ely packed &tate0 t"i& i& /"y t"e con&tant ed
"eig"t on t"e return loop i& larger t"an t"e ed "eig"t in t"e initial &tate. If /e no/ repeat t"e
experiment y increa&ing t"e &uperficial ,elocity from zero /eGll follo/ t"e &et of cur,e& E+?
in ot" direction&. Becau&e of t"i& rea&on /e define t"e ,elocity at t"e point + in t"e figure a&
t"e minimum flui+i,ation 9elocit' V.
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Experiment F2 Fluidization
*$ 1ATERIAL & #ROCEDURE
*$-$ 1aterial% & E:uipment
A &et of t"ree gla&& column& 7-.@) cm I?8 packed /it" &p"erical gla&& ead& of different diameter
&ize& [email protected] 1mm mm8.
1aterial% & E:uipment ;uantit'
Fluidization &etup 2 rotameter /it" different ad4u&tale flo/ rate& 2 differential
pre&&ure meter& and 1 pump for eac" column a total of
column containing particle& of different &ize&
(H ottle& and particle& (e,eral ottle& and an ade'uate 'uantity of particle& for
determining of particle den&ity /ere i&&ued
Mettler P@@@ /eig" &cale 1 7for /eig"ing of particle /eig"t8
Caoratory drying o,en 1 7for e,aporation of /et ottle& and particle&8
Table 1: Materials and Equipment for Fluidization experiment
*$*$ A++itional E(perimental Information
1 ?iameter of column& - cm
2 6eig"t of packed ed in column 1 ** g
6eig"t of packed ed in column 2 * g
# 6eig"t of packed ed in column )1 g
- ?en&ity of /ater at 2@ o+ **).2 Jg=m
Vi&co&ity of /ater at 2@ o+ *.* x 1@$#
Table 2: Given information for calculation in Fluidization experiment
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Experiment F2 Fluidization
*$.$ afet' #recaution
+are mu&t e taken /"en ad4u&ting t"e flo/ rate of t"e fluid to pre,ent t"e o,erflo/ of fluid
and fluidized ed.
Additional precaution& to e o&er,ed during mea&urement of particle den&itie& u&ing
&pecific gra,ity ottle& and petri di&"e&. Hla&&/are may reak /"en not "andled /it" care
and do not touc" t"e roken piece& /it" are "and in t"e e,ent of reakage.
?uring t"e experiment no one &"ould attempt to di&a&&emling or di&mantling any part& of
t"e experimental &etup. A& t"i& experiment in,ol,ed /orking fluid running at "ig" ,elocity
/"ic" may e cau&e unde&irale effect& /"en not "andled properly.
*$5$ #roce+ure
1. !"e initial "eig"t of packed ed in column 1 /a& recorded.
2. !"e needle ,alue connecting to column 1 /a& cracked open.
. Flo/ rate /a& increa&ed &lo/ly at le&& t"an or e'ual to @.1 C=min inter,al&.
#. Flo/ rate inlet pre&&ure outlet pre&&ure and ed "eig"t /ere recoded.-. Flo/ rate /a& increa&ed till con&ecuti,e delta P /ere otained and &lo/ly ad4u&t ack to
zero at le&& t"an or e'ual to @.1 C=min decrement.
. (tep& 1 to - /ere repeated for column 2 and .%. Empty /eig"t of a 2- ml &pecific gra,ity 7(H8 ottle /a& mea&ured and recorded.
). !"e (H ottle /a& filled /it" column 1 pack ed material to approximately 1= of it& ,olume
and /eig"ed.
*. 6ater /a& introduced to t"e (H ottle to fill up t"e 2- ml ottle and final /eig"t /a&
mea&ured.1@. Mea&ured &le particle& and /ater /ere poured into a petri di&" and placed in o,en for
drying.
11. (tep& % to 1@ /ere repeated for column 2 and particle&.
K(H ottle mu&t e capped /"ene,er it& /eig"t i& eing mea&ured
.$ CALCULATION & TABULATION
.1 !alculation for column 1
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Experiment F2 Fluidization
; .@- g=cm;@- Jg=m
+(L,min)
-in -o$' .- (-/i) .- (-a) (m) (m,/)-o#o/i
3
0.00 2.19 2.19 0.00 0.00 0.344 0.000000 0.53
0.10 2.30 2.19 0.11 758.42 0.344 0.000849 0.53
0.20 2.44 2.19 0.25 1723.69 0.344 0.001699 0.53
0.25 2.49 2.19 0.30 2068.43 0.344 0.002123 0.53
0.30 2.55 2.19 0.36 2482.11 0.345 0.002548 0.53
0.35 2.60 2.19 0.41 2826.85 0.347 0.002972 0.54
0.40 2.62 2.19 0.43 2964.75 0.350 0.003397 0.54
0.45 2.62 2.20 0.42 2895.80 0.355 0.003822 0.55
0.50 2.62 2.20 0.42 2895.80 0.361 0.004246 0.55
0.55 2.63 2.20 0.43 2964.75 0.368 0.004671 0.56
0.50 2.62 2.20 0.42 2895.80 0.360 0.004246 0.55
0.45 2.62 2.19 0.43 2964.75 0.353 0.003822 0.54
0.40 2.59 2.20 0.39 2688.96 0.349 0.003397 0.54
0.35 2.55 2.19 0.36 2482.11 0.347 0.002972 0.54
0.30 2.50 2.19 0.31 2137.38 0.346 0.002548 0.53
0.25 2.39 2.19 0.20 1378.95 0.346 0.002123 0.53
0.10 2.28 2.19 0.09 620.53 0.346 0.000849 0.53
0.00 2.22 2.19 0.03 206.84 0.346 0.000000 0.53
Table : Tabulated results column 1 of glass bead size 5"."#cm
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Experiment F2 Fluidization
Figure #: $lot of poro%it' = 9% %uperficial 9elocit' Ufor column 1
From Figure - t"e poro&ity at minimum fluidization >mf ; @.-# m
!"erefore t"eoretical pre&&ure drop for column 1 can e calculated y u&ing e'uationL
And t"e t"eoretical minimum fluidization ,elocity 9mf for column 1 can e otain y u&ing
Ergun e'uationL
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Experiment F2 Fluidization
6"ere
9mfcan t"en e otained y &ol,ing 'uadratic e'uation
!"eoretical 9mffor column 1 ; @.@1@ m=&
.2 !alculation for column 2
=2.#-# g=cm;2#-# Jg=m
+(L,min)
-in -o$' .- (-/i) .- (-a) (m) (m,/)-o#o/i
3
0 2.20 2.20 0.00 0.00 0.353 0.000000 0.43
0.1 2.22 2.21 0.01 68.95 0.353 0.000849 0.43
0.2 2.23 2.21 0.02 137.90 0.353 0.001699 0.43
0.3 2.25 2.21 0.04 275.79 0.353 0.002548 0.43
0.4 2.27 2.21 0.06 413.69 0.353 0.003397 0.43
0.5 2.28 2.21 0.07 482.63 0.353 0.004246 0.43
0.55 2.29 2.21 0.08 551.58 0.353 0.004671 0.43
0.6 2.30 2.21 0.09 620.53 0.353 0.005096 0.43
0.65 2.31 2.21 0.10 689.48 0.353 0.005520 0.43
0.7 2.32 2.21 0.11 758.42 0.353 0.005945 0.43
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Experiment F2 Fluidization
0.75 2.33 2.21 0.12 827.37 0.353 0.006369 0.43
0.8 2.34 2.21 0.13 896.32 0.353 0.006794 0.43
0.85 2.35 2.21 0.14 965.27 0.353 0.007219 0.43
0.9 2.36 2.21 0.15 1034.21 0.353 0.007643 0.43
0.95 2.37 2.21 0.16 1103.16 0.353 0.008068 0.43
1 2.38 2.21 0.17 1172.11 0.353 0.008493 0.43
1.05 2.39 2.21 0.18 1241.06 0.353 0.008917 0.43
1.1 2.40 2.21 0.19 1310.00 0.353 0.009342 0.43
1.15 2.41 2.21 0.20 1378.95 0.353 0.009766 0.43
1.2 2.42 2.21 0.21 1447.90 0.353 0.010191 0.43
1.25 2.43 2.21 0.22 1516.85 0.353 0.010616 0.43
1.3 2.44 2.21 0.23 1585.79 0.353 0.011040 0.43
1.35 2.45 2.21 0.24 1654.74 0.353 0.011465 0.43
1.4 2.46 2.21 0.25 1723.69 0.353 0.011890 0.43
1.45 2.47 2.21 0.26 1792.64 0.353 0.012314 0.43
1.5 2.49 2.21 0.28 1930.53 0.353 0.012739 0.43
1.55 2.51 2.21 0.30 2068.43 0.353 0.013163 0.43
1.6 2.52 2.21 0.31 2137.38 0.353 0.013588 0.43
1.65 2.53 2.21 0.32 2206.32 0.353 0.014013 0.43
1.7 2.54 2.21 0.33 2275.27 0.353 0.014437 0.43
1.75 2.56 2.21 0.35 2413.17 0.353 0.014862 0.43
1.8 2.57 2.21 0.36 2482.11 0.353 0.015287 0.43
1.85 2.58 2.21 0.37 2551.06 0.353 0.015711 0.43
1.9 2.59 2.21 0.38 2620.01 0.353 0.016136 0.43
1.95 2.60 2.21 0.39 2688.96 0.353 0.016561 0.43
2 2.61 2.21 0.40 2757.90 0.353 0.016985 0.43
2.05 2.62 2.21 0.41 2826.85 0.359 0.017410 0.44
2.1 2.62 2.21 0.41 2826.85 0.360 0.017834 0.44
2.15 2.62 2.21 0.41 2826.85 0.362 0.018259 0.45
2.1 2.62 2.21 0.41 2826.85 0.359 0.017834 0.44
2.05 2.61 2.21 0.40 2757.90 0.358 0.017410 0.44
2 2.61 2.21 0.40 2757.90 0.355 0.016985 0.44
1.95 2.60 2.21 0.39 2688.96 0.353 0.016561 0.43
1.9 2.59 2.21 0.38 2620.01 0.352 0.016136 0.43
1.85 2.59 2.21 0.38 2620.01 0.351 0.015711 0.43
1.8 2.57 2.21 0.36 2482.11 0.351 0.015287 0.43
1.75 2.56 2.21 0.35 2413.17 0.351 0.014862 0.43
1.7 2.55 2.21 0.34 2344.22 0.350 0.014437 0.43
1.65 2.54 2.21 0.33 2275.27 0.349 0.014013 0.43
1.6 2.52 2.21 0.31 2137.38 0.349 0.013588 0.43
1.55 2.51 2.21 0.30 2068.43 0.349 0.013163 0.43
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Experiment F2 Fluidization
1.5 2.50 2.21 0.29 1999.48 0.349 0.012739 0.43
1.4 2.47 2.21 0.26 1792.64 0.349 0.011890 0.43
1.3 2.44 2.21 0.23 1585.79 0.349 0.011040 0.43
1.2 2.42 2.20 0.22 1516.85 0.349 0.010191 0.43
1.1 2.39 2.20 0.19 1310.00 0.349 0.009342 0.43
1 2.38 2.20 0.18 1241.06 0.349 0.008493 0.43
0.9 2.36 2.20 0.16 1103.16 0.349 0.007643 0.43
0.8 2.34 2.20 0.14 965.27 0.349 0.006794 0.43
0.7 2.31 2.20 0.11 758.42 0.349 0.005945 0.43
0.6 2.30 2.20 0.10 689.48 0.349 0.005096 0.43
0.5 2.28 2.20 0.08 551.58 0.349 0.004246 0.43
0.4 2.25 2.20 0.05 344.74 0.349 0.003397 0.43
0.3 2.24 2.20 0.04 275.79 0.349 0.002548 0.43
0.2 2.22 2.20 0.02 137.90 0.349 0.001699 0.43
0.1 2.20 2.19 0.01 68.95 0.349 0.000849 0.43
0 2.19 2.19 0.00 0.00 0.349 0.000000 0.43
Table %: Tabulated results column 2 of glass bead size 5".1"cm
Figure &: $lot of
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Experiment F2 Fluidization
Figure ': $lot of e+ height H 9% %uperficial 9elocit' Ufor column 2
From Figure % t"e ed "eig"t at minimum fluidization
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Experiment F2 Fluidization
!"erefore t"eoretical pre&&ure drop for column 2 can e calculated y u&ing e'uation
And t"e t"eoretical minimum fluidization ,elocity 9mffor column 2 can e otain y u&ing
Ergun e'uation &"o/n pre,iou&ly
9mfcan t"en e otained y &ol,ing 'uadratic e'uation
!"eoretical 9mffor column 2 ; @.@@#) m=&
. !alculation for column
=2.#- g=cm;2#- Jg=m
+(L,min)
-in -o$' .- (-/i) .- (-a) (m) (m,/)-o#o/i
3
0.00 2.19 2.19 0.00 0.00 0.310 0.000000 0.42
0.10 2.20 2.20 0.00 0.00 0.310 0.000849 0.42
0.20 2.20 2.20 0.00 0.00 0.310 0.001699 0.42
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Experiment F2 Fluidization
0.30 2.21 2.20 0.01 68.95 0.310 0.002548 0.42
0.40 2.21 2.20 0.01 68.95 0.310 0.003397 0.42
0.50 2.22 2.20 0.02 137.90 0.310 0.004246 0.42
0.60 2.22 2.20 0.02 137.90 0.310 0.005096 0.42
0.70 2.22 2.20 0.02 137.90 0.310 0.005945 0.42
0.80 2.23 2.20 0.03 206.84 0.310 0.006794 0.42
0.90 2.23 2.20 0.03 206.84 0.310 0.007643 0.42
1.00 2.24 2.20 0.04 275.79 0.310 0.008493 0.42
1.10 2.24 2.20 0.04 275.79 0.310 0.009342 0.42
1.20 2.25 2.20 0.05 344.74 0.310 0.010191 0.42
1.30 2.25 2.20 0.05 344.74 0.310 0.011040 0.42
1.40 2.26 2.20 0.06 413.69 0.310 0.011890 0.42
1.50 2.26 2.20 0.06 413.69 0.310 0.012739 0.42
1.60 2.27 2.20 0.07 482.63 0.310 0.013588 0.42
1.70 2.28 2.20 0.08 551.58 0.310 0.014437 0.42
1.80 2.28 2.20 0.08 551.58 0.310 0.015287 0.42
1.90 2.29 2.20 0.09 620.53 0.310 0.016136 0.42
2.00 2.30 2.20 0.10 689.48 0.310 0.016985 0.42
2.10 2.31 2.20 0.11 758.42 0.310 0.017834 0.42
2.20 2.32 2.20 0.12 827.37 0.310 0.018684 0.42
2.30 2.33 2.20 0.13 896.32 0.310 0.019533 0.42
2.40 2.34 2.20 0.14 965.27 0.310 0.020382 0.42
2.50 2.35 2.20 0.15 1034.21 0.310 0.021231 0.42
2.60 2.36 2.21 0.15 1034.21 0.310 0.022081 0.42
2.70 2.36 2.21 0.15 1034.21 0.310 0.022930 0.42
2.80 2.38 2.21 0.17 1172.11 0.310 0.023779 0.42
2.90 2.39 2.21 0.18 1241.06 0.310 0.024628 0.42
3.00 2.40 2.21 0.19 1310.00 0.310 0.025478 0.42
3.10 2.41 2.21 0.20 1378.95 0.310 0.026327 0.42
3.20 2.42 2.21 0.21 1447.90 0.310 0.027176 0.42
3.30 2.43 2.21 0.22 1516.85 0.310 0.028025 0.42
3.40 2.44 2.21 0.23 1585.79 0.310 0.028875 0.42
3.50 2.45 2.21 0.24 1654.74 0.310 0.029724 0.42
3.60 2.46 2.21 0.25 1723.69 0.310 0.030573 0.42
3.70 2.47 2.21 0.26 1792.64 0.310 0.031423 0.42
3.80 2.49 2.21 0.28 1930.53 0.310 0.032272 0.42
3.90 2.50 2.21 0.29 1999.48 0.310 0.033121 0.42
4.00 2.51 2.21 0.30 2068.43 0.310 0.033970 0.42
4.10 2.54 2.21 0.33 2275.27 0.310 0.034820 0.42
4.20 2.55 2.21 0.34 2344.22 0.310 0.035669 0.42
4.30 2.56 2.21 0.35 2413.17 0.310 0.036518 0.42
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Experiment F2 Fluidization
4.40 2.57 2.21 0.36 2482.11 0.310 0.037367 0.42
4.45 2.57 2.21 0.36 2482.11 0.312 0.037792 0.43
4.50 2.57 2.21 0.36 2482.11 0.313 0.038217 0.43
4.55 2.58 2.22 0.36 2482.11 0.315 0.038641 0.43
4.60 2.58 2.22 0.36 2482.11 0.315 0.039066 0.43
4.55 2.58 2.21 0.37 2551.06 0.315 0.038641 0.43
4.50 2.57 2.21 0.36 2482.11 0.314 0.038217 0.43
4.45 2.58 2.22 0.36 2482.11 0.313 0.037792 0.43
4.40 2.58 2.21 0.37 2551.06 0.312 0.037367 0.43
4.35 2.57 2.21 0.36 2482.11 0.312 0.036943 0.43
4.30 2.57 2.21 0.36 2482.11 0.312 0.036518 0.43
4.25 2.57 2.21 0.36 2482.11 0.311 0.036093 0.42
4.20 2.56 2.21 0.35 2413.17 0.311 0.035669 0.42
4.15 2.56 2.21 0.35 2413.17 0.310 0.035244 0.42
4.10 2.54 2.21 0.33 2275.27 0.309 0.034820 0.42
4.00 2.53 2.21 0.32 2206.32 0.309 0.033970 0.42
3.80 2.51 2.21 0.30 2068.43 0.309 0.032272 0.42
3.60 2.49 2.21 0.28 1930.53 0.309 0.030573 0.42
3.40 2.47 2.21 0.26 1792.64 0.309 0.028875 0.42
3.20 2.45 2.21 0.24 1654.74 0.309 0.027176 0.42
3.00 2.44 2.21 0.23 1585.79 0.309 0.025478 0.42
2.80 2.39 2.21 0.18 1241.06 0.309 0.023779 0.42
2.60 2.37 2.20 0.17 1172.11 0.309 0.022081 0.42
2.40 2.35 2.20 0.15 1034.21 0.309 0.020382 0.42
2.20 2.33 2.20 0.13 896.32 0.309 0.018684 0.42
2.00 2.32 2.20 0.12 827.37 0.309 0.016985 0.42
1.80 2.29 2.20 0.09 620.53 0.309 0.015287 0.42
1.60 2.27 2.20 0.07 482.63 0.309 0.013588 0.42
1.40 2.26 2.20 0.06 413.69 0.309 0.011890 0.42
1.00 2.24 2.20 0.04 275.79 0.309 0.008493 0.42
0.50 2.21 2.19 0.02 137.90 0.309 0.004246 0.42
0.00 2.19 2.19 0.00 0.00 0.309 0.000000 0.42
Table #: Tabulated results column of glass bead size 5"."cm
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Experiment F2 Fluidization
Figure ): $lot of
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Experiment F2 Fluidization
Figure (: $lot of poro%it' = 9% %uperficial 9elocit' Ufor column
From Figure ) t"e poro&ity at minimum fluidization >mf ; @.#2 m
!"erefore t"eoretical pre&&ure drop for column can e calculated y u&ing e'uation
And t"e t"eoretical minimum fluidization ,elocity 9mffor column can e otain y u&ing
Ergun e'uation &"o/n pre,iou&ly
9mfcan t"en e otained y &ol,ing 'uadratic e'uation
!"eoretical 9mffor column ; @.@1* m=&
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Experiment F2 Fluidization
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Experiment F2 Fluidization
5$ DICUION
5$- Compari%on of e(perimental re%ult%
%e#imen'a - (-a)
Theo#e'ia -(-a)
%e#imen'a m(m,/)
Theo#e'ia m(m,/)
o$mn1
2964.7468 3264.32 0.003397 0.0103
o$mn2
2826.8516 2863.13 0.017410 0.0048
o$mn9
2482.1136 2566.03 0.037367 0.0169
Table &: Experimental data comparison *it+ t+eoretical values calculated using Ergun
Equation
From t"e ra/ data taulated and grap"& plotted it can e o&er,ed t"at t"e pre&&ure drop NP
increa&e& /it" flo/ rate until t"e minimum fluidization ,elocity /"erey t"e ed expand& andporo&ity increa&e& and t"e pre&&ure drop remain& at t"e &ame ,alue after t"at /it" furt"er
increment of fluid ,elocity.
!"e ed "eig"t& initially remain t"e &ame and increa&ed at t"e minimum fluidization ,elocity and
&tay increa&ing /it" increment in t"e fluid ,elocity a& t"e fluid drag force and uoyancy force
"a& o,ercome t"e gra,itational force. !"e fluid ,elocity i& decrea&ed &lo/ly ack to @ C=min
"o/e,er t"e ed "eig"t i& found &lig"tly "ig"er t"an t"eir original ,alue t"i& could e due to
t"eir inertial force.
A& &"o/n in t"e !ale t"e experimental pre&&ure drop& at t"e minimum fluidization for t"e
column& are only &lig"tly lo/er a& compared to t"e t"eoretical pre&&ure drop&.
!"e minimum fluidization ,elocitie& otained y t"e experimental data are far "ig"er t"an t"e
t"eoretical ,alue& calculated y u&ing Ergun E'uation.
Column #article i,e> ( ?mm@ 1inimum )lui+i,ation 9elocit' Umf ?m%@
1 @.- @.@@*%
2 1 @.@1%#1@
@.@%%
Table ': Minimum fluidization velocit, for t+e columns
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Experiment F2 Fluidization
From !ale % it i& found t"at a& t"e particle &ize increa&e& t"e minimum fluidization ,elocity
al&o increa&e&.
om%a#i/on !e'een Theo# (-oin' AB&) an; %e#imen' (-oin'
AB&) o$mn 1 Re/$'
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Experiment F2 Fluidization
om%a#i/on !e'een Theo# (-oin' AB&) an; %e#imen' (-oin'
AB&) o$mn 2 Re/$'
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Experiment F2 Fluidization
om%a#i/on !e'een Theo# (-oin' AB&) an; %e#imen' (-oin'
AB&) o$mn 9 Re/$'
Ba&ed on t"e compari&on ao,e ot" column 1 and 2 follo/& t"e &"ape 'uite clo&ely to t"e
t"eory.
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Experiment F2 Fluidization
t"e ,alue of @ to t"e moment it egin to fluidize.
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Experiment F2 Fluidization
7$ RE)ERENCE
1. Jing Fa"d 9ni,er&ity of Petroleum Mineral&. +"emical Engineering ?epartment.
+"apter #L Flo/ t"roug" packed fixed and fluidized ed&.
"ttpL==faculty.kfupm.edu.&a=+