Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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    -0//.$.+,0*: )*77 >*:*+9. .D5*,0%+ /%$ .*94 ;4*7.< ?4094 07 M57,0/0.- 70+9. )0G0+6

    07 ;$%)%,.- 0+ ,4. :0D50- ;4*7. -5. ,% ,4. ;%$%57 ).-0* *+- 0+ ,4. 6*7 ;4*7. >8

    4064 -0//570%+ $*,.71

    A=C=

    B./%*9.6&.00$&.*( *+ '?0&./*'#*("(& 676&"'6

    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

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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    N2

    C=

    B*9"0 9"5"0*#'"(&

    C=

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

    14/40

    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

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

    16/40

    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

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

    17/40

    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

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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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

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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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

  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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    ""

    DAB,G

    =

    3.03" 0.98 MAB

    1/ 2( )[ ] #103T3 / 2

    TMAB

    1/ 2$AB

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    D H2"I

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    = 0.5 "A+"

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    kG=vG

    Sc2 / 3 H2OI

    kL=

    "vL

    #Re$ Sc 2 / 3 H2RI

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    +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,.$*,5$. %$

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    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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    "2

    b.:*,0=. =%:*,0:0,8 /%$ 9%);%+.+, 0 07 60=.+ >8 ,4. /%::%?0+6 .D5*,0%+ ?4.$. ,4.

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    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

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    Pi

    vap"ix i( )# =P HT"I

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    %>,*0+.- /$%) X4.)XWY1

    "i = f x1,x2 ...xnc( ) HT2I

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  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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    "O

    4200 &'2%01/' +(/11,+,/%&0

    kG=

    uG

    ScG

    2 / 3

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    #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

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    573"T( )275

    Deff = f(xA)

    "= xi"

    i

    i=1

    NC

    #

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    L,AM

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    L,BM

    w,BxB

    CG=

    n

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    P

    RT

    9%+,772'8 '/72&,(%05,:0

    xA+ x

    B=1

    yA + yB =1

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    Bi=1

    yAi +yBi =1

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    "R

    900,H%/) O2',2>7/0

    YW'@ [$%) .D 2@ *, *=.$*6. 3 [ [$%) .G;.$0).+,*: -*,*

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    YW'

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    "\

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  • 8/10/2019 Research Project: Modelling and Simulation of Microfluidic Distillation Devices

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    2@

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    L

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    2"

    ScG=

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