Research Project: Modelling and Simulation of Microfluidic Distillation Devices
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Transcript of Research Project: Modelling and Simulation of Microfluidic Distillation Devices
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8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices
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U= :6/-"%(V$"J "&= D0 O8 ,4. 7*). ;$0+90;:.7 *7 .*$:0.$ ;*;.$71 f+:0(. ;$.=0%57 ?%$(
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NN
-0//570%+ 0+ ,4. *G0*: -0$.9,0%+ 07 *775).- ,% +.6:060>:. *+- ,4.$. 07 %+:8
9%+=.9,0%+ 0+ ,407 -0$.9,0%+1 W7 ).+,0%+.- .*$:0.$ ,407 07 =*:0- 70+9. -0//570%+ 07
7)*:: 9%);*$.- ,% 9%+=.9,0%+< *7 ?0:: >. 74%?+ :*,.$ 0+ ,407 7,5-81 J*77 ,$*+7/.$
0+ ,4. $*-0*: -0$.9,0%+ 07 >8 9%+=.9,0%+< 570+6 J*G?.::VU,./*+ -0//570=0,0.7 /%$)5:,09%);%+.+, )0G,5$.7 H.//.9,0=. -0//570=0,8 /%$ ,4. :0D50- ;4*7.I 0+7,.*- %/
)*77 ,$*+7/.$ 9%.//090.+,7 *7 0+ b*)0$.AVP%+A*:.A HN``"I1 34.7. -0//570=0,0.7 *$.
,*(.+ *7 9%+7,*+, *:%+6 ,4. ;0;. :.+6,41 3407 07 +%, .+,0$.:8 *995$*,. 70+9.
-0//570=0,8 07 9%+9.+,$*,0%+ -.;.+-*+,< .7;.90*::8 0+ ,4. :0D50- ;4*7.1 W+%,4.$
0775. 4.$. 07 ,4*, J*G?.::VU,./*+ -0//570=0,8 -*,* /%$ )0G,5$.7 %/ )%$. ,4*+ 2
9%);%+.+,7 *$. -0//095:, ,% D5*+,0/8 .G;.$0).+,*::8< $.75:,0+6 0+ * :*9( %/ $.:0*>:.
-*,*1 34. ;*;.$ 7566.7,7 570+6 9%$$.:*,0%+7 /%5+- 0+ :0,.$*,5$. /%$ ,% .7,0)*,.
-0//570=0,0.71 34. ;*;.$ *:7% *775).7 * :0+.*$07.- )%-.: /%$ =*;%5$ :0D50-
.D50:0>$0* *, ,4. 0+,.$/*9.< ?4094 07 %+:8 =*:0- 0/ ,4. :0D50- 07 9:%7. ,% 0-.*:1 34.
)%-.: $.75:,7 0+ HZX E NI "V-0).+70%+*: -0//.$.+,0*: )*77 >*:*+9. .D5*,0%+7 /%$
.*94 ;4*7.< ?4094 *--7 9%+70-.$*>:. 9%);:.G0,8 0+ 7%:=0+6 9%);*$.- ,% ;$.=0%57
)%-.:71 L+. *-=*+,*6. %/ 4*=0+6 * "V-0).+70%+*: )%-.: 07 ,4*, -0//570%+ .//.9,7
*, ,4. /..- 0+:.,7 *+- ;$%-59, %5,:.,7 9*+ >. )%-.::.- )%$. *995$*,.:81 K, ?0:: >.
0+=.7,06*,.- :*,.$ 0+ ,407 ;*;.$ ?4.,4.$ ,407 *--.- 9%);:.G0,8 07 M57,0/0.-1
A=E=
B./%*3I/$0" !.6&.00$&.*( W >X I.'?0$&.*(
B= G$("00. "&= $0= OAYYZR
3407 ;*;.$ ;$.7.+,7 * )%-.: +.6:.9,0+6 4.*, ,$*+7/.$ *+- /:%? 0+7,*>0:0,0.7*7.- %+ X4.)XWY. 9%+7,*+, *:%+6 ,4. 9%:5)+< ,*(.+ *7 ,4. *=.$*6. >.,?..+ 9%:5)+ .+-71 f+:0(.
;$.=0%57 ?%$(< ,407 9%:5)+ ?*7 %;.$*,.- =.$,09*::8< ,4.$./%$. :0D50- /:%? 07 -5.
,% 6$*=0,8< *+- ?0,4 ,4. ;%$%57 ).-05) /5+9,0%+0+6 ,% (..; ,4. ;4*7.7 7.;*$*,.
,4$%564 9*;0::*$8 ;$.775$.1 34. $.75:, 07 * " -0).+70%+*: )%-.: /%$ .*94 ;4*7.13?% 9*7.7 /%$ :0D50- /:%? ?.$. 9%+70-.$.- /%$ 9%);*$07%+ ?0,4 :0,.$*,5$.1 34.
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N"
/0$7, *775).- i).74 /:%?j< ?0,4 * 9%+7,*+, 9$%77 7.9,0%+*: *$.* ;.$;.+-095:*$ ,%
-0$.9,0%+ %/ /:%?< .D5*: ,% ,4. ).74 9$%77 7.9,0%+*: *$.*1 34. 7.9%+- 9*7.
*775).- * /*::0+6 /0:) 9%+/065$*,0%+< ?4.$. ,4. *$.* %/ /:%? *+- =.:%90,8 *$.
-09,*,.- >8 ,4. /:%? $*,.< ?0,4 /5::8 :*)0+*$ /:%? 9%+-0,0%+71 U0)5:*,0%+ $.75:,774%? ,4*, ,4. /0$7, 9*7. 07 * )%$. *995$*,. $.;$.7.+,*,0%+< 74%?0+6 * "@k
*=.$*6. -.=0*,0%+ ?0,4 .G;.$0).+,*: $.75:,7< ,4%564 ,4. )%-.: 07 %+:8 =.$0/0.-
>*7.- %+ C#3F 9*:95:*,0%+7 *7 %;;%7.- ,% 9%+9.+,$*,0%+ ;$%/0:.71
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N2
C=
B*9"0 9"5"0*#'"(&
C=
-
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NT
`1 X%+7,*+, ;$.775$. HN *,)I *:%+6 A E W:,4%564 ,407 07 +%, ,$5. 70+9. =*;%5$
/:%? 07 .+*>:.- >8 ;$.775$. 6$*-0.+,7 *:%+6 ,4. ;0;.< ,407 6$*-0.+, 07 +%, =.$8
:*$6. *+- 0,7 .//.9, %+ ;48709*: ;$%;.$,0.7 07 *775).- ,% >. +.6:060>:.1
N@1
3.);.$*,5$. 07 * /5+9,0%+ %/ 9%);%70,0%+< 9%+7,*+, *:%+6 ,4. $*-0*: *+-*+65:*$ -0$.9,0%+ E 3407 07 * 70);:0/09*,0%+ -5. ,% ,4. /*9, ,4*, 4.*, >*:*+9.7
*$. +.6:.9,.- 0+ ,4. )%-.:1 K+ $.*:0,8 9%);%70,0%+ H,4$%564 $.:*,0=.
=%:*,0:0,0.7I *$. * /5+9,0%+ %/ ,.);.$*,5$.< ?4094 07 9*:95:*,.- >8 4.*,
>*:*+9.71
C=A=
,*(&%*0 5*0?'"
=,H*'/ !M A+5/62&,+ (1 C2:(*' 2%) 7,P*,) :520/0 ,% &5/ 6,+'(),0&,772&,(% )/C,+/
34. -.=09. 07 * 9%;;.$ 98:0+-.$ ?0,4 * :*8.$ %/ ?09( ,% 650-. :0D50- /:%? %+ ,4.
?*::7 ?40:. =*;%5$ /:%?7 0+ ,4. )0--:.< 0+ ,4. %;;%70,. -0$.9,0%+ %/ :0D50- /:%?1 K+
,4. *G0*: -0$.9,0%+< )*77 ,$*+7/.$ 07 )%7,:8 >8 9%+=.9,0%+ ?40:. 0+ ,4. $*-0*:
-0$.9,0%+< ?. 4*=. .D50)%:*$ -0//570%+ *9$%77 ,4. 0+,.$/*9. *+- /..- .+,.$0+6 ,4.
:0D50- ;4*7. /$%) ,4. %5,.$ $*-0571 W 2Y -0*6$*) %/ %5$ 9%+,$%: =%:5). 57.- ,%
-.$0=. ,4. )%:*$ *+- .+.$68 >*:*+9.7 0+ ,4. :0D50- ;4*7. 07 74%?+ >.:%?
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NO
=,H*'/ 3M N(%&'(7 C(7*6/ ),2H'26
C=C=
B*0$% ;$0$(/"
34. )%:*$ >*:*+9. *9$%77 * 9%+,$%: =%:5). H91=I 07 60=.+ >8S
H+., $*,. %/ )%:*$ /:5G /$%) 91=I l H $*,. %/ )%:*$ *995)5:*,0%+I
V H$*,. %/ )%:*$ 6.+.$*,0%+I m @
$% &5/ X ),'/+&,(%M
Z., $*,. %/ *--0,0%+ m nA ,z
r + "r( )2# r
2
2"$
z+"z
# nA ,z
r + "r( )2# r
2
2"$
z
]4.$. ,4. +W8 .D5*,0%+ G1 34.
/0$7, ,.$) *99%5+,7 /%$ -0//570%+ ?40:. ,4. 7.9%+- ,.$) *99%5+,7 /%$ 9%+=.9,0%+1
nA ,z
= "CLD
AB
#xA
#z+C
Luz
$% &5/ ' ),'/+&,(%M
Z., $*,. %/ *--0,0%+ m nA ,r
r"#"zr+"r
$ nA ,r
r"#"zr
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NR
Y5. ,% *775);,0%+ T< ?. ,*(. $ m $N< ,4. 0++.$ $*-057< *+- $ l n$ m $"< ,4. %5,.$
$*-0571 W, $N< ?. 4*=. )*77 ,$*+7/.$ *9$%77 ,4. 0+,.$/*9.< ?4094 07 60=.+ >8S
nA ,rr r
=kLr1(CA "CAi)
]. *:7% 4*=. * /..- 9%)0+6 0+ /$%) $"< ?4094 07 60=.+ >8
nA ,r
rr+"r
= nA ,F
r2
]4.$. +W.:%?1 K, 74%5:- >. +%,.- ,4*, >8 ,407 .D5*,0%+< 0,
*775).7 ,4*, ,4. /..- .+,.$7 ,4. >5:( :0D50- ;4*7. ?0,4 * $*-0*: =.:%90,8 %/ @.9*57.
70)5:*,0%+7 74%? ,4*, ,4. /..- /:%? $*,. 07 7)*:: 9%);*$.- ,% ,4. :0D50- /:%?
$*,.1 [5$,4.$)%$.< 0, 07 +%, ;%770>:. ,% )%-.: .G*9,:8 /:%? %/ /..- *7 )%).+,5)
>*:*+9.7 *$. +%, 9%+70-.$.- 0+ ,407 )%-.:1
$% &5/ ),'/+&,(%M
Z., $*,. %/ *--0,0%+ m nA ,"#r#z
"+#$ n
A ,"#r#z
"+#
'8 *775);,0%+ 2< ,407 ,.$) 07 +.6:.9,.-1
9++*6*72&,(%
b*,. %/ 6.+.$*,0%+ 07 .D5*: ,% A.$% 70+9. ,4.$. 07 +% 94.)09*: $.*9,0%+1 34. $*,. %/
*995)5:*,0%+ ?0,40+ ,4. 91=1 07 ,4.+ 60=.+ >8S
"CA
"t
r + #r( )2
$ r2
2#%#z
X%)>0+0+6 ,4. *>%=. .D5*,0%+7 80.:-
"CA
"t
r22 #r1
2
2$%$z = #D
AB
dCA
dz+ v
zC
A
&
'(
)
*+r2
2 #r12
2$%
z+$z
# #DAB
dCA
dz+ v
zC
A
&
'(
)
*+r2
2 #r12
2$%
z
+ kLr1 CAi# CA( )+ nA ,Fr2( )$%$z
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N\
U0+9. XW07 .D5*: ,% GWXe< *+- *775)0+6 ,4. 94*+6. 0+ Xe%=.$ :.+6,4 nA 07 7)*::.9*57. /..- 07 %+:8 0+ ,4. :0D50- ;4*7. *+- ,4. ;*$,0*:
-.$0=*,0=. %/ -0//570=0,8 07 -$%;;.- >.9*57. 6*7 -0//570=0,8 07 )%$. %$ :.77
-.;.+-*+, %/ 9%);%70,0%+ oRpS
"yA
"t= #DAB,G
"2yA
"z2+ v
G
"yA
"z+ 2r
1kCG
yAi #yA( ) = 0 H"I
34. )%-.: .D5*,0%+7 HNI *+- H"I *$. $.:*,.- >8 )*77 ,$*+7/.$ ,4$%564 ,4.
0+,.$/*9. >8 .D50)%:*$ 9%5+,.$ -0//570%+1
kLCL(xA "xAi) =kGCG (yAi "yA) H2I
Y(*%)2'8 +(%),&,(%0
34. )%-.: 57.7 Y*+9(?.$,g7 >%5+-*$8 9%+-0,0%+7 /%$ *, ,4. .=*;%$*,%$ *+-
9%+-.+7.$ .+-7< 60=.+ >8 ,4. /%::%?0+6 .D5*,0%+7
vLx
A,in z=0" = vLxA,in"Deff
#xA
#z
$
%&
'
()z=0
+ HTI
"xA
"z z=length=0
HOI
vGyA ,in z=length+ = vGyA ,in" DAB ,G
#yA
#z
$
%&
'
()z=length
" HRI
"yA
"z z=0=0
H\I
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Nc
C=E=
[$#*?% $(9 8.\?.9 +0*J
34. ;$.775$. -0//.$.+9. *9$%77 ,4. =*;%5$V:0D50- 0+,.$/*9. 07 -.79$0>.- >8 ,4.
_%5+6Ve*;:*9. .D5*,0%+S
PL =PG "
2#Lcos$
rp,0 % $%180 HcI
W775)0+6 9%+7,*+, ;$.775$. 0+ ,4. 6*7 ;4*7. *+- * 9%+7,*+, ;$.775$. 6$*-0.+, 0+
,4. :0D50- ;4*7.< ,407 .D5*,0%+ 9*+ >. 57.- ,% /0+- ,4. ;$.775$. -$%; 0+ ,4.
/%::%?0+6 .D5*,0%+1 e0D50- =.:%90,8 07 -.79$0>.- >8 ,4. Y*$98 .D5*,0%+ /%$ /:%?
,4$%564 ;%$%57 ).-0* HY5++ *+- b.*80+0+6 ,4. ,?% .D5*,0%+7 *>%=. :.*-7 ,%S
vL =2K "c #"e( )LrpLength
HN@I
]4.$. ". *+- "9 *$. 75$/*9. ,.+70%+ ,*(.+ *, ,4. .=*;%$*,%$ *+- 9%+-.+7.$
$.7;.9,0=.:8 HY5++ *+- b.*8
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N`
G = GL( )ratioL HN"I
vG=
G
"r1
2C
G
HN2I
C=F=
G""9
34. /..- .+,.$7 ,4$%564 * 4%:. ;.$/%$*,.- 0+ ,4. -.=09.1 U0+9. %5$ )%-.: %+:8
9%+70-.$7 ,4. *G0*: -0).+70%+< ?. *775). ,4*, 0, .+,.$7 ,4. :0D50- ;4*7. ,4$%564
,4. %5,.$ 75$/*9. %/ ,4. :0D50- ;4*7. /$%) *:: -0$.9,0%+7 %/ !< /%$ * :.+6,4 -A[1 K+
)*,4.)*,09*: ,.$)7< ,4. *$.* %/ /:5G /%$ ,4. /..- 07 60=.+ >8S
Afeed =2"r2 # dzF HNTI
]4.$. ,4. W/..-07 .D5*: ,% ,4. *$.* %/ ,4. /..- 0+:., 0+ ,4. .G;.$0).+, *+- -A [< 07
,4. 70A. %/ ,4. .:.).+, 57.- 0+ 7%:=0+6 ,4. -0//.$.+,0*: .D5*,0%+1 34. /..- )%:*$
/:5G 07 ,4.+ %>,*0+.- /$%) .D5*,0%+ HNTI /%$ :.+6,4 -A[*, ,4. /..- :%9*,0%+< *+-
.D5*:7 ,% @ *, *:: %,4.$ ;%0+,71
nA,feed =F
Aat z = zfeed :zfeed + dzF( ) HNOI
C=H= @-76./$0 @%*#"%&."6
3.);.$*,5$. *+- ;$.775$. 07 *775).- ,% >. 9%+7,*+, ,4$%564%5, ,4. -.=09. *+-
;48709*: ;$%;.$,0.7 *$. 9*:95:*,.- 570+6 * ;$.775$. %/ N *,) *+- * ,.);.$*,5$.
.D5*: ,% ,4. *=.$*6. %/ ,4. >%0:0+6 ;%0+,7 %/ ;5$. 9%);%+.+,71
B,P*,) 2%) H20 )/%0,&,/0 *$. *775).- ,% >. *--0,0=.< 60=.+ >8 .D5*,0%+ HNRI *7/5+9,0%+7 %/ ;5$. 9%+9.+,$*,0%+ *+- 9%);%70,0%+
"L= x
iM
i( )# C
L
1000$
*+- HNRI
"G = y iMi( )# C
G
1000$
B,P*,) +(%+/%&'2&,(% 07 60=.+ >8 .D5*,0%+ G ?40:. ;5$. 9%);%+.+,
9%+9.+,$*,0%+7 *$. %>,*0+.- /$%) 9%$$.:*,0%+7 /%5+- 0+ F.$$8g7 >8 ,4. .D5*,0%+*/,.$1
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"@
CL=
1
xi
CL,i
" HN\I
CL,i
=B
1
B2
1+ 1"T
B3
#
$%
&
'(
B4#
$
%%
&
'
((
HNcI
I20 +(%+/%&'2&,(%07 %>,*0+.- /$%) ,4. 0-.*: 6*7 :*?< ?4094 07 =*:0- *, :%?
;$.775$.7
CG=
n
V=
P
RT
HN`I
B,P*,) C,0+(0,&,/0/%$ ;5$. 9%);%+.+,7 *$. (+%?+ ,% =*$8 ?0,4 ,.);.$*,5$. >8
.D5*,0%+ H"@I1 X%+7,*+,7 /%$ ,4. .D5*,0%+ *$. /%5+- >8 $.6$.770%+ %/
.G;.$0).+,*: -*,* %$ -*,* %>,*0+.- /$%) X4.)XWY1
L,pure(T) =ioexp("bT) H"@I
d079%70,0.7 %/ :0D50- )0G,5$.7 9*+ ,4.+ >. 9*:95:*,.- 570+6 ,4. .D5*,0%+7
;$%;%7.- >8 P$5+>.$6 *+- Z077*+ HN`T`I HF%:0+6< "@@NI
ln L ,mix( ) = xAln L,A( ) + xBln L,B( ) + xAxBJAB
H"NI
]4.$. aW' *, * $./.$.+9. ,.);.$*,5$. %/ "`c ^ 9*+ >. /%5+- /$%) 6$%5;
9%+,$0>5,0%+ ).,4%- /%5+- 0+ :0,.$*,5$.1 W:,.$+*,0=.:8< 0, 9*+ *:7% >. .7,0)*,.-
/$%) $.6$.770%+ %/ .G;.$0).+,*: %$ X4.)XWY -*,*1 3407 9%+7,*+, =*$0.7 ?0,4
,.);.$*,5$. >8 ,4. /%::%?0+6 .D5*,0%+S
JAB
(T) =1" 1" JAB,0( )
573"T( )275 H""I
I20 C,0+(0,&,/0 /%$ ;5$. 75>7,*+9.7 *$. %>,*0+.- /$%) ,4. X4*;)*+V#+7(%6
.D5*,0%+< ?4.$. #q^ *$. /%5+- .G;$.77.- >8 .D5*,0%+ H"TI ?0,4 9%+7,*+, r
/%5+- /$%) :0,.$*,5$. HF%:0+6< "@@NI
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"N
G,pure =2.6693"10
#5 MwT
$ 2%
, H"2I
"/K =0.77TC
H"TI
"=0.841Vc
1/ 3
H"\I
d079%70,8 %/ ,4. 6*7 )0G,5$. 07 ,4.+ %>,*0+.- /$%) .D5*,0%+ H"cI< ?4.$. s 0M 07
60=.+ >8 .D5*,0%+ H"`I HF%:0+6< "@@NI
G,mix
=
A ,G
1+yB
yA"AB
+
B,G
1+yA
yB"BA
H"cI
"ij =1
81+
Mi
Mj
#
$%%
&
'((
)1/ 2
1+
i
j
#
$%%
&
'((
1/ 2
Mj
Mi
#
$%
&
'(
1/ 4*
+
,,
-
.
//
2
H"`I
B,P*,) :520/ ),11*0,C,&8*7 * /5+9,0%+ %/ 9%+9.+,$*,0%+ 07 60=.+ >8 ,4. d06+.77
9%$$.:*,0%+S
DAB ,L
= DAB ,L
0 xBD
BA ,L
0 xA
]4.$. -0//570=0,0.7 /%$ -0:5,. 787,.)7 *$. 60=.+ >8 ,4. /%::%?0+6 .D5*,0%+
;$%;%7.- >8 ]0:(. *+- X4*+6. HN`OOI1
DAB,L
0=
7.4 " 10#8
$MB( )
1/ 2
T
BVA,boil
0.6 H2@I
]. +..- ,% *-M57, /%$ ;%$%70,8 >8 ,4. /%::%?0+6 .D5*,0%+1
Deff =
"DAB
#
$ "2D
AB , where #$1/" H2NI
I20 :520/ ),11*0,C,&8 07 %>,*0+.- /$%) .D5*,0%+ H2"I ;$%;%7.- >8 ]0:(. *+-
e.. HN`OOI ?4.$. #W'*+- "W'*$. 60=.+ >8 .D5*,0%+7 H22I *+- H2TI
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""
DAB,G
=
3.03" 0.98 MAB
1/ 2( )[ ] #103T3 / 2
TMAB
1/ 2$AB
2%
D H2"I
"AB
= 0.5 "A+"
B
( ) H22I
"AB
= "A"B H2TI
F*$*).,.$7 9*+ >. /%5+- /$%) :0,.$.*,5$.
4200 &'2%01/' +(/11,+,/%&0 *$. %>,*0+.- /$%) ,4. /%::%?0+6 9%$$.:*,0%+7 /%$
)*77 ,$*+7/.$ 0+ /0G.- >.-7 H3$.8>*:< N`cNI
kG=vG
Sc2 / 3 H2OI
kL=
"vL
#Re$ Sc 2 / 3 H2RI
[%$ :*)0+*$ /:%?< $m N1@` *+- %m "q2< ?40:. /%$ ,5$>5:.+, /:%?< $m "@1T *+- %m
@1cNO1 34. b.8+%:-7 +5)>.$ /%$ /:%? ,4$%564 ;%$%57 ).-0* *+- ,4. U94)0-,
+5)>.$ *$. 74%?+ >.:%?1
Re ="LvLdp
L
H2\I
Sc =
"DAB
/%$ :0D50- *+- 6*7 ;4*7. H2cI
A*'12+/ &/%0,(%0*, .=*;%$*,%$ *+- 9%+-.+7.$ .+-7 *$. /%5+- /$%) :0,.$*,5$. %$
X4.)XWY1 U0+9. %5$ )%-.: 07 ).*+, /%$ 7,.*-8 7,*,. 70)5:*,0%+7< 75$/*9.
,.+70%+7 *, ,4.7. .+-7 9*+ >. 0+;5, *7 70+6:. ;*$*).,.$7
O2:(*' B,P*,) VP*,7,>',*6
X%);%70,0%+7 *, ,4. 0+,.$/*9. /%::%? ,4. $.:*,0%+740;
yi =
"iy
i
"iy
i# *, $ m $N H2`I
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b.:*,0=. =%:*,0:0,8 /%$ 9%);%+.+, 0 07 60=.+ >8 ,4. /%::%?0+6 .D5*,0%+ ?4.$. ,4.
:.*7, =%:*,0:. 9%);%+.+, 74%5:- >. 94%7.+ *7 +9< *:,4%564 ,407 07 M57, * )*,,.$ %/
9%+=.+,0%+1
"i =
Pivap#i
Pnc
vap#nc HT@I
d*;%5$ ;$.775$.7 /%$ ;5$. 9%);%+.+,7 *$. %>,*0+.- /$%) 9%$$.:*,0%+7 /%5+- 0+
F.$$8g7 >8 ,4. .D5*,0%+1
Pivap
= exp E1 +E2
T+E3 ln T( ) +E3T
E4"
#$%
&' HTNI
'8 ,4. )%-0/0.- b*%5:,7 :*? *+- ,4. *775);,0%+ %/ >5>>:. ;%0+, *, *:: ;%70,0%+7. %>.8.-1
Pi
vap"ix i( )# =P HT"I
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%>,*0+.- /$%) X4.)XWY1
"i = f x1,x2 ...xnc( ) HT2I
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"O
4200 &'2%01/' +(/11,+,/%&0
kG=
uG
ScG
2 / 3
kL = "uL
#Re$ Sc2 / 3
V *:;4* m "@1T< >.,* m @1cNO
Re ="LuLdp
L
ScL=
L
"LD
AB ,L
ScG=
G
"GD
AB,G
.580,+27 :'(:/'&,/0
L,pure(T) =ioexp("bT)
ln L,mix( ) = xAln L,A( ) + xBln L,B( ) + xAxBGAB
GAB
(T) =1" 1"GAB,0( )
573"T( )275
Deff = f(xA)
"= xi"
i
i=1
NC
#
CL= "
L,AM
w,AxA+ "
L,BM
w,BxB
CG=
n
V=
P
RT
9%+,772'8 '/72&,(%05,:0
xA+ x
B=1
yA + yB =1
xAi+ x
Bi=1
yAi +yBi =1
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8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices
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"R
900,H%/) O2',2>7/0
YW'@ [$%) .D 2@ *, *=.$*6. 3 [ [$%) .G;.$0).+,*: -*,*
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80+ [$%) .G;.$0).+,*: -*,*
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P X4.)XWY *, *=.$*6. 3 *+- 8
YW'
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b*)0$.AVP%+A*:.A HN``"I -0- +%, ;$.7.+, * 9*7. 7,5-8 /%$ ,407 .G;.$0).+, 7% ?.
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34. $.75:,7 /%$ .,4*+%:V?*,.$ .G;.$0).+,7 -% +%, 74%? *7 6%%- * /0, *7 ,4*, %/
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.=*;%$*,0%+ *+- 9%+-.+7*,0%+ *, ,4. .+-71 K+7,.*-< :0D50- *+- =*;%5$
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2N
F
,$6" 6&?97 X G$("00. OAYYZR3407 7.9,0%+ 07 * 9*7. 7,5-8 %+ .G;.$0).+,7 *+- )%-.: -.=.:%;.- >8 [*+.::0
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F=',*6
y i=
"iy
i
"iy
i# *, $ m $N
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vap#i
Pncvap
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#$%
&'
"i = f(xA)
=7*,) 17(D
uG= G
L( )uL(r
2
2" r
1
2)C
L
r1
2C
G
4200 &'2%01/' +(/11,+,/%&0
Re ="LuLdp
L
ScL=
L
"LDAB ,L
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2"
ScG=
G
"GD
AB,G
kG=
uG
ScG
2 / 3
kL=
"uL
#Re$ Sc 2 / 3
.580,+27 :'(:/'&,/0
L,pure(T) =ioexp("bT)
ln L,mix( ) = xAln L,A( ) + xBln L,B( ) + xAxBGAB
GAB
(T) =1" 1"GAB,0
( )
573"T( )
275
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i
i=1
NC
#
CL= "
L,AM
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w,BxB
CG=
n
V=
P
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xA+ x
B=1
yA + yB =1
xAi + x Bi =1
yAi +yBi =1
F=A
L"6?0&6 $(9 9.6/?66.*(
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22
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2T
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n j =dx
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nj
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2O
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