Hilan N., Al-Zoubi H., Darwish N.a.-a Comprehensive Review of Nanofiltration Membranes_ Treatment,...
Transcript of Hilan N., Al-Zoubi H., Darwish N.a.-a Comprehensive Review of Nanofiltration Membranes_ Treatment,...
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ELSEVIER
Desalination 170 (2004) 281-308
DES LIN TION
www.elsevier.com/locate/desal
A com prehen sive review o f nanofil tration mem branes:
Treatment pretreatm ent m odel l ing and atomic force m icroscopy
N . H i l a l a , H . A 1 - Z o u b P , N . A . D a r w i s h b, A . W . M o h a m m a d c, M . A b u A r a b i d
aAdvanced Water Treatment Group, School of Chemical, Environmental an d Min ing Engineering,
The U niversity of Nottingham, NG 7 2RD , United Kingdom
Tel. +44 (115) 951-4168; Fax: +44 (115) 951-4115; em ail: [email protected]
t Department of Ch emical Engineering, College of Engineering, Jordan University of Science and Technology,
PO Box 3030, Irbid, Jordan -
CDepartment o f Chem ical a nd P rocess Engineering, Universiti Kebangsaan Malaysia,
43600 UK M Bangi, Selangor Darul Ehsan, Malaysia
d he
Middle Eas t Desalination Research Centre, PO B ox 21, Al Khuwair, Postal Code 1333, Oman
Rece ived 12 No vem ber 2003; accepted 5 January 2004
b s t r a c t
N an o f i lt r a tio n mem b r an es ( N F) h av e ap p l ica tio n s in sev er a l a r eas. O n e o f th e main ap p l ica tio n s h as b een in w a te r
t r ea tmen t f o r d r in k in g w a te r p r o d u c t io n as w e l l a s w as tew ate r t r ea tmen t . N F can e i th e r b e u sed to t r ea t a ll k in d s o f
wate r including ground, sur face, and w astew ater or used as a pretreatment for desal inat ion . The in troduction of NF as
a p r e t r ea tmen t i s co n s id e r ed a b r eak th r o u g h f o r th e d esa l in a tio n p ro cess . N F mem b r an es h av e b een sh o w n to b e ab le
to remove turb id i ty , microorganisms and hardness , as well as a f ract ion of the d isso lved sal ts . This resu l ts in a
s ignif ican tly lower operat ing pressure and thus provides a much more energy-ef f ic ien t process . S imilar to o ther
mem b r an e p r o cesses , a m a jo r p r o b lem in N F mem b r an e ap p l ica tio n s i s f o u lin g . Sev er a l s tu d ies h av e in v es t ig a ted th e
meeh an is rn s o f f o u lin g in N F mem b r an es an d su g g es ted meth o d s to min imize an d co n t r o l th e f o u l in g o f N F m em -
b r an es. Fo r N F mem b r an e ch ar ac te r iza t io n s an d p r o cess p red ic tio n , mo d e l in g o f N F p r o cesses an d th e u se o f a to mic
f o r ce mic r o sco p y ( A FM) a r e v e r y im p o r tant . Th e ab i l ity to p red ic t th e p e r f o r man ce o f N F p r o cesses w i l l l ead to a lo w er
n u mb e r o f ex p er imen ts , s av in g o f t ime an d mo n ey , an d h e lp to u n d er s tan d th e sep ar a t io n mech a n isms d u r in g N F . A
co mp r eh en s iv e r ev iew o f N F in w a te r t r ea tmen ts i s p resen ted in c lud in g a r ev iew o f th e ap p l ica t io n s o f N F in t r ea tin g
w ate r a s w e l l a s in th e p r e t r ea tmen t p r o cess f o r desal in a tion ; th e mech a n ism as w e l l a s m in imiza t io n o f N F mem b r an e
fouling problem s; and theor ies for modell ing and transpor t o f salt , charged an d noncharge d organic co mpo unds in NF
mem b r an es . Th e r ev iew w i l l a l so ad d r ess th e ap p l ica t io n o f A FM in s tu d y in g th e mo r p h o lo g y o f memb r an e su r f aces
as p a r t o f th e N F mem b r an e ch ar ac te r iza t ion .
Keywords:
Nanof i l t ra t ion ; Pretreatment; Fouling; Modeling; Atomic force microscopy; Desal inat ion
*Con'esponding author.
0011-.9164/04/ - Se e front matter © 2004 Elsevie r B.V. All f ights reserved
doi: 10.1016/j.desal.2004.01.007
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282 N. Hilal e t al . / Desalinat ion 170 2004) 281 -308
1 I n t r o d u c t i o n
The nanof i l tr a t ion (NF) me mb rane i s a type o f
p ressu re -d r iven membrane wi th p roper t ie s in
be tween reve rse osmo s is (RO ) and u l t ra f il t ra t ion
(UF) mem branes . NF o f fe r s seve ral advan tages
such as low operat ion pressure , h igh f lux, h igh
re ten tion o f mu l t iva len t an ion sa lt s and an o r -
gan ic molecu la r above 300 , re la t ive ly low inves t-
me n t and low opera t ion and m ain tenance cost s.
Because o f these advan tages , the app l ica t ions o f
NF wor ldw ide have inc reased [ 1 . T he h i s to ry o f
NF da tes back to the 1970s w hen RO mem branes
with a reasonable water f lux operat ing a t re la-
t ive ly low p ressu res were deve loped . Hence , the
high pressures t radi t ional ly used in RO resul ted
in a cons ide rab le ene rgy cos t . Thus , mem branes
wi th low er re jec t ions o f d i s so lved compon en ts ,
bu t wi th h igher wa te r pe rmeab i l i ty , wo u ld be a
g rea t improve men t fo r sepa ra tion techno logy .
Such low-pressu re RO membranes became
k n o w n a s N F m e m b r a n e s [2 ]. B y t h e s e c o n d h a l f
o f the 1980s, NF had be com e es tab li shed , and the
first application s w ere rep orte d [3,4].
Th is paper rev iews seve ra l a spec ts o f NF
mem branes such as the app l icat ions in t rea tmen t
of ground, surface , and w astewater ; as a pre treat-
m ent for desal inat ion, foul ing, and the separat ion
m e c h a n is m ; a n d m o d e l l i n g o f N F m e m b r a n e s . I n
add i tion , the app l ica t ion o f a tomic fo rce mic ros -
c o p y ( A F M ) i n s t u d y i n g th e m o r p h o l o g y o f t h e
NF mem brane sur faces wi l l a l so be rev iewed .
2 N F m e m b r a n e s i n w a t e r t r ea t m e n t s
In add i t ion to hav ing the capab i l i ty to reduce
the ion ic s treng th o f the so lu t ion , NF mem branes
can remove hardness , organics and par t icula te
con taminants . Man y resea rche rs have u sed NF to
ach ieve those ob jec t ives and the fo l lowing
sec t ions h igh l igh t the i r m a jo r f ind ings.
2 .1 . G r o u n d w a t e r
The so f ten ing o f g round wa te r us ing NF has
been s tud ied by m any inves t iga to rs [4 -8 ]. Schaep
e t a l. [4] used seve ra l d i f fe ren t types o f NF me m-
branes fo r ha rdness remova l . R e ten t ions h igher
than 90 were found fo r mul t iva len t ions,
whereas mo nova len t ions were re ta ined fo r abou t
60-70 . Som bekke e t a l. [5 ] comp ared NF
membranes wi th pe l le t so f ten ing and g ranu la r
ac t iva ted ca rbon fo r so f ten ing wa te r. B o th me th -
ods gave good resu l ts ; howeve r , NF mem branes
h a v e s e v e ra l a d v a n ta g e s f r o m t h e p o i n t o f v i e w o f
heal th aspects and low er investm ent costs .
Rem ova l o f na tu ra l o rgan ic ma t te r (NOM ) and
d is in fec t ion by-p roduc t (D BP) p recurso rs were
also s tudied [9-16] . Ja cang elo e t a l . [11] reported
tha t bo th RO and NF a re used in the US fo r
r e m o v a l o f N O M . To d a t e , N F h a s b e e n em -
p loyed p r imar i ly fo r g roundwate r con ta in ing
re la t ive ly low to tal d i s so lved so l ids bu t w i th h igh
tota l hardness , color , and DB P precursors . Esco-
bar e t a l . [12] found that the re je ct ion of ass imi-
lab le o rgan ic ca rbon was g rea te r than 90 a t
pH 7.5 and greater than 75 a t pH 5.5 by using
TFC-S NF membranes .
The remova l o f pes t ic ides and some mic ro -
po l lu tan ts f rom groun d wa te r has bee n s tud ied by
many resea rche rs [17 -25] . Van de r Brugg en e t a l.
[17 ] show ed tha t the NF70 mem brane can re jec t
pest ic ides such as a trazine , s imazine , d iuron and
isopro tu ron over 90 . S im i la rly , r emova l o f
t r ich lo roe thy lene and te t rach lo roe thy lene can be
ach ieved us ing seve ra l d i f fe ren t types o f NF
mem branes [25 ].
Ke t tunen and Kesk i ta lo [26 ] s tud ied the
remova l o f f luo r ide and a lum inum f rom ground-
water sources in Finland. In addit ion to the
rem oval of hardness , n i t ra tes , i ron and s tront ium,
f luo r ide remov a l was a l so m en t ione d by Pe rvov
e t a l. [27 ]. T he rem ova l o f d i s so lved u ran ium
from na tu ra l wa te rs has been condu c ted by Ra f t
and Wi lken [28] . The mul t iva len t an ion com-
p lexes o f u ran ium were re jec ted to abou t 95 .
F ina lly , a r sen ic remova l and the e f fec t o f pH in
the re jec t ion p rocess w ere s tud ied by U rase e t a l .
[29 ]. I t w as show n tha t the re jec t ion o f a r sen ite
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N. Hil al et al. / Desalination 170 2004) 281-30 8
283
A s ( I l l ) i n c r e as e d w i t h t h e i n c r e a s e o f p H f r o m
5 0 a t p H 3 t o 8 9 a t p H 1 0 , w h i le t h e d e g r e e o f
inc rease 'w i th As(V ) was sma l l e r ; f rom 87 a t
pH 3 to 93 a t pH 10.
2 . 2 . S u r f i t c e w a te r
Surface wa te rs o f t en have a chang in g chemis -
t ry o r compos i t i on due to seasona l changes o r
after d i lu t ion wi th ra in . NF is a re l iable opt ion for
su r face wa te r t rea tmen t , a l t hough the focus i s
he re ra the r on remov a l o f o rgan ics t han on so f t-
en ing [21] . Hardness rem ova l f rom a l ake i n
Ta iwan has bee n s tud i ed by Y eh e t a l . [30 ] u s ing
d i f fe ren t me thods such as a co nven t iona l p rocess
fo l lowed by ozo ne , GAC and pe l l e t so f ten ing ,
a n d a n i n t e g r at e d m e m b r a n e p r o c e s s ( U F / N F ) a n d
the conven t iona l p rocess . So f t en ing was ach i eved
b y a l l p ro c e s se s , b u t w a t e r p r o d u c e d b y t h e m e m -
brane p rocess had the bes t qua l i ty a s measu red by
tu rb id i ty (0 .03 NTU) , t o t a l ha rdness re j ec t i on
(90 ) , and d i sso lved o rgan ics re j ec t i on (75 ) .
R e m o v a l o f D B P p r e c u r so r s a n d N O M f r o m
s u rf a c e w a t e r s o u r c e s h a s b e e n s t u d ie d b y m a n y
invest igators [31-35]. Visvanathan e t a l . [32]
s tud i ed the e f fec t o f t he p re sence o f i ons , ope ra t -
i ng p ressu re , feed , pH, and suspen ded so l id s on
re j ec t ion p roper t i e s , and conc luded tha t h ighe r
p ressu re and suspended so l id s con ten t i nc rease
re j ec ti on , wh i l e re j ec t i ons a re som ewh a t l ower a t
h ighe r i on i c s t reng th . A l so , t hey conc lude tha t
b o t h h ig h a n d l o w p H o f t h e f e e d w a t e r p r o d u c e
low re j ec t i on , wh i l e be t t e r re j ec t i on has been
found a t a pH rang e o f 7 -9 , wh ich ind i ca t es t ha t
pH ad jus tmen t o f the feed m ay no t be requ i red .
R e m o v a l o f o r g a n i c m i c r o p o l l u ta n t s w a s a l so
invest igated by o ther researchers [36,37].
K o y u n c u a n d Y a z g a n [ 37 ] h a d g o o d r e s u l ts i n
t rea t i ng sa l t y and po l lu t ed wa te r f rom Kucuk-
c e k m e c e L a k e i n I s ta n b u l u s i n g t h e T F C - S N F
m e m b r a n e . N F m e m b r a n e s w e r e a l so f o u n d t o b e
ab le to rem ove v i ruses and ba c t e r i a f rom su r faces
qui te successful ly [11,38-41]. Reiss e t a l . [42]
u s e d a n i n t eg r a te d m e m b r a n e s y s t e m o f m i c r o -
f i l t ra t i on wi th NF to remove
B a c i l l u s s u b i l l u s
spores f rom 5 .4 t o 10 .7 l og . Us ing a nove l NF
m e m b r a n e ( N F 2 0 0 ), r e m o v a l o f o r g a n ic s ( u p t o
96 ) in a large NF plant in Paris [43 ,44] w as
a c h ie v e d . N F h a s b e e n a l so u s e d t o r e m o v e b o t h
a rsen i c (V) and a rsen i c ( I I I ) f rom su r face wa te r
[45 -48] . These s tud i es showed tha t (u s ing NF
membranes ) t he re j ec t i on o f As(V) i s re l a t i ve ly
h igh , up to 90 , wh i l e As( I I I ) is j u s t a round
30 .
An inves t i ga t ion o f t he re j ec t i on o f a lky l
p h t ha l a te s u s i n g f o u r t y p e s o f N F m e m b r a n e s w a s
cond uc ted by Ki so e t a l . [49 ]. M onov a len t i ons,
l i ke n i t ra t e s , how ever , we re found to have a l ower
e x t e n t o f r e j e ct i o n b y N F m e m b r a n e s [ 1 9 ,5 0 - 5 2] .
M ol ina r i e t al . [53] com pared re j ec t i on o f seve ra l
po l lu tan t s such as s i l ica , n i tra t e , manga nese and
h u m i c a c i d s b y m e a n s o f R O a n d N F m e m b r a n e s .
At a pH of 8 , RO rejec ted s i l ica , NO 3-, M n 2÷, and
hum ic ac id i n a ra t e equa l t o 98 , 94 , 99 and
9 5 .5 , r e sp e c t iv e l y , w h i l e N F h a d a m u c h l o w e r
reject ion , i .e ., 35 , 6 , 80 and 35 , respect -
i ve ly . Su lfa t e cou ld be rem ove d f rom ch lo ra lka l i
p l an t b r ine s t reams by NF [54 ] . The re su l t s
s h o w e d t h a t t h e N F m e m b r a n e s e f f e c ti v e ly re -
j ec t ed SO~- up to 95 in concen t ra t ed b r ines .
2 . 3 . W a s t e w a t e r
NF i s an e f f i c i en t and e co log ica l ly su it ed
t e c h n o l o g y f o r d e c o n t a m i n a t i o n a n d r e c y c l i n g o f
was t ew a te r genera t ed in man y indus t ri e s . Afonso
and Y af i ez [55] u sed N F to t rea t f i sh mea l was t e -
wa te rs . NF re duce d the o rgan ic l oad in t he was te -
wa te rs and p romoted the i r pa r t i a l desa l ina t ion ,
m a k i n g w a t e r r e u s e p o s s ib l e . A m a j o r p r o b l e m o f
the was t ewa te r t rea tmen t i s t he wa te r recovery
ra t e, wh ich shou ld be c lose t o 100 . To ach ieve
th i s t a rge t , many resea rche rs i nves t i ga t ed an
in t eg ra t ed membrane sys t em [56 -59] . Rau ten -
bach and Linn [56 ] and Rau tenbach e t a l . [57 ]
u s e d a n e w c o n c e p t o f i n t e g r a t e d m e m b r a n e s
c o n s i s t i n g o f R O / N F / h i g h - p r e s s u r e R O . T h e
in t eg ra t i on can ach i eve wa te r recovery ra t e s o f
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284 N . H i l a l e t a l . / D e s a l i n a t i o n 1 7 0 2 0 0 4 ) 2 8 1 - 3 0 8
mo re than 95 in t he case o f dum ps i t e l eacha t e ,
wh ich p romises an a lmos t ze ro d i sch a rge p rocess .
Hafiar le e t a l . [60] invest igated the removal of
c h r o m a te , f r o m w a t e r u s i n g a T F C - S N F m e m -
brane as a poss ib l e a l t e rna t ive to t he conven t iona l
m e t h o d s o f C r ( V I ) r e m o v a l f r o m a n a q u e o u s
so lu t ion . The re su l t s showed tha t t he re j ec t i on
depended on the i on i c s t reng th and pH. Be t t e r
re t en t ion was ob ta ined a t bas i c pH (up to 80 a t
a pH o f 8) . Resu lt s a l so show ed tha t NF i s a ve ry
p r o m i s in g m e t h o d o f t r e a t m e n t f o r w a s t e w a t e r
c h a r g e d w i t h h e x a v a l e n t c h r o m i u m . T h e s a m e
m e m b r a n e w a s u s e d b y K o y u n c u [ 6 1 ] t o t r e a t
op ium a lka lo id p rocess ing indus t ry e f f l uen t s .
App l i ca t i on o f N F in t he t rea tmen t o f t ex ti l e
w a s t e w a t er w a s c o n d u c t e d b y m a n y r e s e a rc h e r s
[62 -65] . Tang and Chen [62 ] u sed NF to t rea t
t e xt il e w a s t e w a t e r w h i c h w a s h i g h l y c o l o r e d w i t h
a h igh load ing o f i no rgan ic sa lt s. A t an ope ra t i ng
pressu re o f 500 kPa , t he f l ux ob ta ined was ve ry
h i g h , w h i l e t h e r e j e c ti o n o f d y e w a s 9 8 a n d t h e
NaC1 re j ec t i on was l e ss t han 14 . Thus , a h igh
q u a l it y o f r e u s e w a t e r c o u l d b e r e c o v e r e d . O n t h e
o the r hand , Vo ig t e t a l . [64 ] sugges t ed a new
TiO2-NF ce ramic membrane to deco lo r t ex t i l e
was t ewa te r u s ing an in t eg ra t ed p i lo t p l an . The
resu lt s show tha t i t i s poss ib l e t o c l ean co lo red
w a s t e w a t er w i t h d y e r e t e n ti o n v a r y i n g f r o m 7 0
to 100 , CO D reduc t ion o f 45 -80 , and sa lt
r e te n t io n o f 1 0 - 8 0 . A n e w c e r a m i c K - N F m e m -
brane was s tud i ed by Webar a t a l . [65 ] w i th
a lmos t t he same resu l t s a s t ha t o f t he T iO2-NF
m e m b r a n e .
Jakobs and Baum gar t en [66 ] show ed tha t NF
cou ld rem ove l ead up to 90 f rom a n i t r ic ac id
so lu tion . A l so , pu r i fi ca t i on o f phosph or i c ac id by
NF (D S5D L NF) was s tud i ed [67 ] u s ing d i ffe ren t
c o m m e r c i a l m e m b r a n e s o f c o m m o n i n d u s t r i a l
u se . The re su l t s show tha t t he re j ec t i on o f impur i -
t ies i s aroun d 99.2 .
3 N F a s p r e t r e a t m e n t f o r d e s a l i n a t i o n
Feed p re t rea tmen t i s one o f t he m a jo r fac to rs
de t e rmin ing the success o r fa i l u re o f a desa l i -
na t ion p rocess . D i f fe ren t me thods o fp re t rea tmen t
f o r d e s a li n a ti o n p r o c e s s w e r e s u g g e s t e d b y m a n y
resea rche rs . Trad i ti ona l p re t rea tmen t i s based on
mec han ica l t rea tmen t (med ia f i l te r s , ca r t r idge f i l -
t e rs ) suppor t ed by ex t ens ive chem ica l t rea tmen t
[68]. In the past , con ven t iona l pre t rea tmen t ( i.e . ,
coagu la t i on , f l occu la t i on , ac id t rea tmen t , pH
ad jus tmen t , add i t i on o f an t i - sea l an t and med ia -
f i lt ra ti on ) was usu a l ly u sed [69 ]. T he m a in p rob -
l em in us ing co nven t iona l p re t rea tmen t i s co r ro -
s ion and co r ros ion p roduc t s . Fo r ex ample , i n t he
ac id dos ing sys t em, co r ro s ion o f me ta l l ic su r faces
a n d c o r r o s i o n p r o d u c t s w i l l r o u g h e n t h e s u r f a c e
o f t he equ ipmen t , wh ich p rov ides ac t i ve s it e s fo r
precip i ta t ion o f m ore sca le depos i t s [69 ,70]. In
add i t ion , t h is p re t rea tmen t i s kno wn to be com-
p lex , l abo r i n t ens ive and space consu ming [71 ].
P ressu re -d r iven me m bran e p rocesses [mic ro -
f i l t ra t ion (MF), u l t raf i l t ra t ion (UF), and NF] are
the new t rends i n des ign ing a p re t rea tmen t sys -
t em. The in t roduc t ion o f NF as a p re t rea tmen t
wi l l l ead to a b reak th ro ugh in t he app l i ca t i on o f
RO and MS F becau se i t has imp l i ca t i ons fo r t he
desa l ina t ion p rocess i t se l f , and no t on ly on
quan t i t y o f t he feed wa te r [68 ]. M F can rem ove
suspended so l id s and low er t he s i lt dens i ty i ndex
(SDI) wh i l e i n UF , no t on ly suspen ded so l id s and
la rge bac t e r ia a re re t a ined , bu t a l so (d i s so lved )
macromolecu les , co l lo ids and smal l bac t e r i a .
Red ondo [72 ] s t rong ly p re fe r red M F o r UF as a
p re t rea tmen t ove r conven t iona l p re t rea tmen t t o
t reat d i ff icul t eff luent water .
Bou -Ha ma d e t a l. [73 ] t e s t ed t h ree p re trea t -
men t me thods (conven t iona l , a beachwel l sea -
wa te r i n t ake sys t em, and MF) p r io r t o RO.
A c c o r d i n g to t h e r e su l ts o f S D I , C O D a n d B O D
remova l and the t o t a l un i t cos t , t he beachwel l
seawate r in t ake and MF sys t ems we re i den t if i ed
as p romis ing t echn iques t o rep l ace conven t iona l
p re t rea tmen t . Ho we ver , a l l o f t he p re t rea tmen t s
m e n t i o n e d d i d n o t l o w e r t h e T D S v a l u e.
Severa l s t ud i es have a l so been c a r r i ed ou t on
the use o f UF m em bran e as p re t rea tmen t [70,71 ,
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74 ,75 ]. \ ran Hoo p e t a l . [74 ] con c luded tha t UF
can p rov ide a feed wa te r qua l i t y w i th a SDI
be low 2 , and opera t i ona l cos t s were v e ry a t t rac -
f ive . The same resu l t s were ob t a ined by A1-
A h m a d a n d A d b u l A l e e m [ 7 0 ] , w h o c o n c l u d e d
tha t the ho l low-f ibe r UF p roce ss p romises t o be a
s imple , easy - to -use , and robus t a l t e rna tive t o t he
c u m b e r s o m e c o n v e n t i o n a l f o rm s o f p r e t r e at m e n t .
T h e s u r f ac e s e a w a te r S D I o f 1 3 - 2 5 w a s r e d u c e d
be low 1 by UF , whereas conven t iona l p re t rea t -
men t fai l ed t o reduce i t be lo w 2 .5 [75 ] . The U F
pre t rea tmen t a l so p rov ide f i l te red wa te r w i th h igh
and cons t an t qua l i t y t ha t enhan ced the re l i ab i l i t y
o f t he RO desa l ina t ion p l an t . T eng e t a l. [76 ]
c o m p a r e d t h e u s e o f U F a n d M F a s a p r e tr e a t-
men t . The re su l ts show tha t t he h ighe r ope ra t i ng
f lu x o f t h e M F p i lo t s y s t e m w a s a c h i e v e d a t t h e
expense o f i nc reas ing t ransmembrane p ressu re ,
w h i c h h a d t o b e k e p t c o n s t an t . H o w e v e r , t he S D I
of t he f il tra t e p rod uced b y the U F p i lo t sys t em
was super io r t o t ha t p roduced by the MF p i lo t
sys t em. In genera l , the f i l tra t e qua l i t y o f t he M F
sys t em was in fe r io r t o tha t o f U F p i lo t sys t em.
Recen t ly , Va i l and Do ussau [77] co nduc ted a
p i lo t t e s t u s ing a new 0 .1 m M ic roza ho l low-
f i be r M F m e m b r a n e a s a p r e tr e a t m e n t to R O o n
Me di t e r ranean seawate r . A p i lo t r i g was op e ra t ed
at d i fferent f luxes ran ging fr om 80 to 140 1/h .m2
wi th and wi thou t fe r ri c ch lo r ide add i t i on . Dur ing
the test, t]hem i c r o f i lt e r w a t e r S D I r e m a i n e d b e l o w
2 under t he op t imized opera t i ng cond i t i ons .
L o n g e r r u n s b e t w e e n c h e m i c a l c l e a n i n g a n d
be t t e r f i l t e red wa te r qua l i t y were ob t a ined wi th
fe r ri c ch lo r ide add i ti on to t he raw seaw ate r and
b y p e r f o r m i n g b a c k w a s h e s w i t h s o d i u m h y p o -
c h lo r it e. A g a i n , t h e s a m e m e m b r a n e u n d e r w e n t
p i lo t te s ts a t t h ree d i f fe ren t l oca t ions on Med i t e r -
ranean seawate r [78 ] . The same resu l t s were
o b t a i n e d b y t h e m e m b r a n e , w h i c h p r o v i d e d
c l a r if i ed wa te r t o RO hav ing a S DI o f 1 .8 o r l e ss,
w h i c h a l l o w s R O o p e r a t io n a t h i g h e r r e c o v e r y ,
enhanc ing the t o ta l sys t em runn ing cos t .
The Casp ian Sea i n Russ i a i s cha rac t e r i sed by
h a v i n g l o w T D S b u t a r e l a t i v e l y h i g h b o r o n
c o n t e n t ( 4 - 5 p p m ) , w h i c h e x c e e d s t h e h y g i e n ic
s t andards in Russ i a (0 .4 -0 .5 ppm) . T o ach ieve the
need ed remov a l o f bo ron , P e rvov e t a l. [79 ]
sugges t ed a t ech no log ica l schem e inc lud ing c l a r i-
f i ca ti on , ac id and an t i sca l an t dosage as a p re t rea t-
men t , and doub le -s t age RO wi th caus t i c dos ing
into the f i rs t s tage produ ct .
NF was used fo r t he f i r st time by Hassan e t a l.
[80] a s p re t rea tm en t fo r seaw a te r reve rse osmos i s
(SWRO), mu l t i s t age f l a sh (MSF) , and seawate r
reve rse osmos i s re j ec t ed in mu l t i s t age f l a sh
( S W R O ~ m ~ - M S F ) p r o c es s e s . In t h e se in t e gr a te d
p r o c e ss e s , N F m i n i m i z e d h a r d n e s s , m i c r o o rg a n -
i sms and tu rb id i ty . A t a p ressu re o f 22 ba r , NF
r e m o v e d h a r d n e s s i o n s o f C a 2+, M g 2+, SO4 -,
HCO3, and to t a l ha rdness by 89 .6%, 94 .0%,
97 .8%, 76 .6% and 93 .3% , re spec t ive ly . In add i -
t io n , N F r e d u c e d t h e m o n o v a l e n t i on s o f C l+, N a÷,
and K÷; each ion was sepa ra t ed by 40 .3% and
overa l l seawa te r TDS by 57 .7%, w h i l e the t o ta l
h a r d n e s s w a s r e m o v e d b y 9 3 . 3 % . T h e p e r m e a t e
thus ob t a ined was fa r supe r io r t o seawa te r a s a
f e e d t o S W R O o r M S F . T h i s m a d e i t po s s ib l e to
opera t e a SWRO and MSF p i lo t p l an t a t a h igh
recovery : 70% a nd 80% , re spec t ive ly .
T h e i n te g r a ti o n o f N F w i t h M S F p r o c e s s e s
mak es i t poss ib l e t o ope ra t e MS F p l an t s on NF-
p r o d u c t
o r S W R r e j ~t e d
f r o m a N F - S W R O u n i t a t
a h igh d is t i l la t ion tem pera ture of 120°C to 160°C
wi th h igh d i s t i l la t e recovery , and a ga in wi thou t
c h e m i c a l a d d i t i o n . T h u s , M S F a n d N F -
S W R O ~ m ~ - M S F c o u l d b e o p e r a t e d a t a t o p
br ine t empera tu re o f 120°C wi thou t any sca l ing
prob lems [81 ] . These i n t eg ra t ed desa l ina t ion
s y s te m s , c o m b i n e d w i t h a r e d u c t i o n o f c h e m i c a l s
a n d e n e r g y , a l lo w s p r o d u c i n g f r e sh w a t e r f r o m
s e a w a t e r a t a 3 0 % l o w e r c o s t c o m p a r e d t o c o n -
ven t iona l SWR O [82] .
NF p re t rea tmen t o f seawa te r i n desa l ina t ion
p l an t s: ( 1 ) p r e v e n t e d S W R O m e m b r a n e f o u l in g
by the remo va l o f t u rb id i ty and bac t e r i a , (2 ) p re -
v e n t e d s c a l i n g ( b o t h i n S W R O a n d M S F ) b y
r e m o v a l o f s c a l e f o r m i n g h a r d n e s s i o n s a n d
( 3 ) l o w e r e d r e q u i re d p r e s s u re t o o p e r a te S W R O
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p lan ts by reduc ing seawate r feed TDS by 30-
6 0% , d e p e n d i n g o n t h e t y p e o f N F m e m b r a n e a n d
operat ing condit ions.
La te r, a dem ons t ra t ion p lan t was bu i l t a t Um m
Lujj , Saudi Arabia , consis t ing of s ix spira l-woun d
N F m o d u l e s ( 8 x 4 0 ) f o l l o w e d b y t h r e e S W RO
elements [83] . The resul ts obta ined from the
demons t ra t ion un i t con f i rmed the above resu lt s
obta ined from the pi lo t p lant s tudy. Criscuoali
and Dr io l i [84] co nc luded tha t the in t roduc t ion o f
NF fo r wa te r p re t rea tmen t leads to an improve-
me n t in the pe r fo rmance by m ain ta in ing a lmos t
invarian t the e ne rgy requ i remen t . M ohsen e t a l .
[85] invest igated NF to t reat brackish w ater col-
lec ted from Zarqa bas in , Jo rdan . The resu lt s show
than NF i s e f f ic ien t fo r reduc ing the o rgan ic and
inorgan ic con ten ts and g ives a h igh wa te r re -
covery up to 95%. P ontie e t a l. [86] s tudied the
poss ib il i ty o f ob ta in ing a pa r t ia l deminera l iza t ion
of seawate r us ing two success ive NF s tages. The
t reated wa te r ( sa lin i ty 9 g /L ) cou ld be used in the
f ie ld of hum an heal th ( i .e ., preparat ion o f nasal
sprays, m edical d ie te t ics and hot min eral springs) .
Recen t ly , seve ra l d i f fe ren t types o f in teg ra ted
mem branes were used as a p re t rea tmen t to desa l i -
nat ion. Driol i e t a l. [87] in trodu ced m em bran e
dis t i l la t ion (MD) to t reat the RO brine . This
enhanced the recovery fac to r o f RO . U s ing the
n e w l y i n t eg r a te d M F / U F + RO + M D , t h e p r e li m i -
na ry exper imen ta l re su lt s conf i rm ed the poss i -
b i l i ty o f reach ing a seawate r recovery fac to r o f
87%. Ohaa e t a l . [88] proposed an in tegrated
sys tem fo r the comple te usage o f compon en ts in
seawate r wi th a h igh recov ery o f wa te r up to 9 0%
as show n in F ig. 1 . An o the r in teg ra ted sys tem
(NF+RO +MC ) was sugges ted by Dr io l i e t al . [89]
where MC is a mem brane c rys ta ll i ze r . MC w as
used to ach ieve the to ta l recovery o f desa l ted
wate r. The p resence o f the NF in th i s in teg ra t ion
a l lowed an inc rease in the wa te r recove ry o f the
RO un i t up to 50%. M oreover , in t roduc t ion o f a
MC led to a 100% recovery and e l imina t ion o f
the b r ine d i sposa l p rob lem, rep resen t ing the pure
c rysta ls p rodu ced as a va luab le p roduc t. Th e m os t
impor tan t ma in tenance p rob lem assoc iated wi th
RO opera t ion is the m em brane fou l ing , e spec ia l ly
biological foul ing (biofouling) .
Visvanathafl e t a l . [90] used a membrane
b io reac to r (MB R) as a p re t rea tmen t p rocess to
e l imina te th i s b io fou l ing . M BR is the p rocess in
which a conven t iona l b io log ica l sys tem i s
coup led wi th the me mb rane p rocess (MF o r UF) .
The resu lt s show tha t the MB R sys tem produced
be t te r e f fluen t wi th 78% DO C rem ova l , and
the f i l t r a te y ie lded the h ighes t pe rmea te f lux
improvement , wh ich was approx imate ly 300%
compared wi th no n-p re t rea ted seawate r. A hybr id
NF/RO /MSF c rys ta ll i za tion sys tem of fe red ve ry
promis ing pe r fo rmance : h igh wa te r recovery
(77 .2%) and w a te r cos t s as low as $0 .37 /m3 were
sugges ted by Turek and Dyd o [91 ] .
4 M e m b r a n e fo u l in g
Membrane fou l ing i s caused by d isso lved
inorganics BaSO4, CaCO3) o r o rgan ic compo-
nen ts (hum ie ac ids ) , co l lo ids ( suspen ded pa rt i-
c les) , bacter ia or s uspe nde d sol ids [92,93] . Foul-
ing may o ccur in pores o f mem branes by pa r tia l
pore s ize reduc t ion caused by fou lan ts adsorb ing
on the inner pore wa l l s , po re b lockage and
surface fouling such as cake and gel layer for-
mat ion [94]. F ou l ing wi l l l ead to h igher opera -
t ion cos t s : h igher ene rgy demand , inc rease o f
c l e an i n g a n d r e d u c e d l i fe - t im e o f t h e m e m b r a n e
e lemen ts [95] . Ex is t ing fou l ing ind ices to mea-
su re the co l lo ida l fou l ing po ten tia l o f feedwate r
a re the SDI , app l ied wor ldw ide , and the Modi f ied
Fou l ing Index (M FI) . Bo th te s t s a re des igned to
s imula te membrane fou l ing by feed ing wa te r
th rough a 0 .45 /~m mic ro f i l t e r in dead-en d f low
[96].
The fo rmat ion o f a membrane fou l ing laye r
was m oni to red dur ing the t rea tmen t o f po llu ted
sur face wa te r us ing sp i ra l -woun d NF mem branes
[97]. The p lan t fee d was no t d i s in fec ted and
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N. Hilal e t al . / Desalina t ion 170 2004) 281 -30 8 287
0 . 4
03BO
- ' - [ 5 O 5 l
( 4 . 0 8 ~ W a t e r o e ¢ ' ~
o . ~ / e
N a - ~ O 3
[ o . ~ l
o . 2 1 )
~ ,
< o . o o i
c c o 3 c c o 3
/ W a t c r / ~ ~ ] . H, " I - l , . , , ] ~
\ IHPRO I
0 0 6 6 7
I I
[ l e , O l , , I
. . v o M s o
M u l t i - i o n
( o s ~ )
o . w C r y s l ~ l i z o r i l , 9 5 × lO '-
A d s o r p t i o n 1
i
W t t e ¢ 0 . 1 0 8
s s × i o - S M F o r M E o o s s ~ . I
t ~ o / r , . . . . . . . : . ^ r - ~ 4 , ~ ' , q r - -
l , ~ s . o l ) ¢ 2 3 2 ~
( 1 o . 4 ) / r ( 0 7 7 )
s o ~
btjCI 0 .0248
M o n o - i o n
A d o s o r p t o n
Fig. 1 . Weight and com posit ion of each process s tream in the ease of 90% reco very of desal ted w ater, using an HPRO
system for NF scale remova l (based on I kg o f raw seawater). Total weight , kg; wa ter weight, kg; m ono and mult ivalent
ion, wt% (mo novale nt ion, wt%; m ult ivalent ion, wt%) [88].
d i s p la y e d a h i g h f o u l i n g te n d e n c y . T h e f o u l i n g
l a y e r w a s s h o w n t o b e a m i x t u r e o f b i o l o g ic a l ,
o r g a n i c a n d in o r g a n i c s p e c i e s . C a l c i u m a n d p h o s -
p h a t e w e, e t h e m a i n i n o r g a n i c c o m p o u n d s p r e -
s e n t w i t h m i n o r a m o u n t s o f i r o n a n d a l u m i n u m .
T h e h i g h l e v el o f p h o s p h o r u s f o u n d w a s p r o b a b l y
d u e t o th e u s e o f s o d i u m h e x a m e t a p h o s p h a t e a s a
p r e t r e a t m e n t a g e n t ( T a b l e 1 ).
B o e r l a g e e t a l. [ 9 6] d e v e l o p e d a M F I u s i n g U F
m o d u l e s a s a w a t e r q u a l i t y i n d i c a t o r a n d t o p r e -
d i c t f l u x d e c l i n e o c c u r r i n g i n m e m b r a n e f i lt r a ti o n
i n st a ll a ti o ns . T h e M F I - U F w a s f o u n d t o be a
p r o m i s i n g t o o l f o r m e a s u r i n g t h e c o l lo i d a l f o u l i n g
p o t e nt ia l f o r R O n a n o - a n d U F s y s te m s .
Table I
Concentration o f various elem ents in the fouling layer
[97]
E lemen t Concen tra tion #g /cm 2
mem brane area
Calcium 41.9
Phosphorus 32.2
Sulphur 2.6
Magnes ium 1 .6
Iron 17.5
Organ ic carbon 13.7
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T h e e x t e n t t o w h i c h U F m e m b r a n e s a r e
capab le o f re t a in ing co l lo ida l pa r t i c le s d epends
on the UF pore s i ze expressed as a m o lecu la r cu t-
o f f M W CO ), su r face mo rpho lo gy e .g ., po ros i t y )
and the na tu re o f t he me mb rane ma te r i a l e .g .,
hydroph i l i c it y ) . These U F m em brane p roper t i e s
a l so i n f luence the f i lt ra ti on mec han i sm s occu r r ing
during the tes t e .g . , cake an d bloc king f i l t ra tion) .
T h e r e f or e , th e i n f l u e n c e o f U F m e m b r a n e p r o p e r -
t ie s o n th e M F I - U F w a s e x a m i n e d t o e x p l ai n th e
occur rence o f f i lt ra ti on mec han i sm s in t he t e st .
T h e M F I - U F t e st m a y b e e q u a l l y a p p li e d f o r fl u x
dec l ine p red i c t i on and a d i f fe ren t i a l p ressu re
i n c re a s e i n N F a n d U F t o d e t e r m i n e th e b a c k w a s h
f requency o f a feed w a te r .
B i o f o u li n g - - d e f i n e d a s a c c u m u l a t io n o f
mic roo rgan i sms , i . e . , b io f i lm on a su r face by
growth and /o r depos i t i on a t such a l eve l t ha t
causes ope ra ti ona l p rob lem s - - i s d if f i cu l t t o
iden ti fy . I t may cause p rob lems such as dec l ined
normal i zed f l ux and /o r i nc reased no rmal i zed
pressu re d rops du r ing NF o r RO [93 ]. Co n t ro l l i ng
b io fou l ing can be ach i eve d by 1 ) fa r -reach ing
r e m o v a l o f d e g r a d a b l e c o m p o n e n t s f r o m t h e
feedwate r , 2 ) secu r ing the pu r i t y o f t he chemi -
ca l s dosed , and 3 ) pe r fo rming e f fec t ive c l ean ing
procedures . A l so a c l ean ing p rocedure app l i ed
w h e n f o u l i n g i s n o t a p r o b l e m m i g h t d e l a y
b io f i lm fo rmat ion .
V r o u w e n v e l d e r a n d K o o i j [ 9 8] s h o w e d t h a t
the d i agnos i s o f t he t ype / cause o f fou l ing i s an
essent ia l f irs t s tep to co nt ro l l ing furth er foul ing .
A qu ick scan au topsy ) g ives conc lus ive i n fo r -
ma t ion abou t t he t ypes and ex t en t o f fou l ing o f
the mem brane f i l tra t ion p l an t. Th i s o pens w ays
fo r p reven t ion and con t ro l o f fou l ing . The too l s
AOC -test , B io f i lm mon i to r ) can be used to t e s t
chem ica l s dosed on the r i sk o f b io ) fou l ing . In
add i ti on , Vro uw enve lde r e t a l . [95 ] m ade an
o v e r v i e w f o r c o h e r e n t to o l s f o r f o u l i n g o f N F a n d
R O m e m b r a n e s. T h e s e t o o l s - - d e v e l o p e d f o r t h e
d i agnos is , p red i c t ion , p reven t ion , and con t ro l o f
f o u l i n g - - h a v e b e e n a p p l i e d in p r ac t i ce a n d h a v e
proven the i r va lue i n con t ro l l i ng fou l ing . An
overv i ew i s sho wn in Ta b le 2 [95 ].
The spec i f i c oxygen consumpt ion ra t e i s a
S O C R ) p a r a m e t e r f o r d e t e r m i n i n g th e p r e s e n c e
o f a n a c t iv e b io m a s s i n a m e m b r a n e s y s t e m b y
m e a s u r i n g t h e o x y g e n d e m a n d , w h i l e S c a l e G u a rd
i s a con t inuous on - l i ne mon i to r w i th a s ing l e
sp i ra l -wound m em brane e l em en t tha t de t ec t s sca l-
i n g i n a n e a r l y s t a g e w h e n f e d w i t h t h e c o n -
cent ra te from ei ther a p i lo t or fu l l -scale p lant .
Sca l ing was obse rved on the Sca l eGuard be fo re
i t occurre d on the fu l l -scale insta l la t ion .
T h e p r e s e n c e o f c a l c i u m a n d h u m i c s u b st a nc e s
o r N O M i n s u r f a c e w a t e r s c a n c a u s e s e v e r e
fou l ing o f NF me mb ranes [99 ]. I t was foun d tha t
a t h igh ca l c iu m conc en t ra t i ons fou l ing i s de t r i-
m e n t a l, w i t h t h e m e c h a n i s m d e p e n d i n g o n s o lu -
t i o n c h e m i s t r y . C a l c i u m - h u m a t e c o m p l e x e s
caused the h ighes t f l ux de c l ine due to t he i r h igh ly
compac tab l e f l oc - l i ke s t ruc tu re compared to
ca l c i t e p rec ip i t a t e s . Depos i t i on o f ca l c ium and
organ ics i nc reased wi th pH due to t he p rec ip i -
t a t ion o f ca l c i te and ad so rp t ion o f o rgan ics on the
ca l c i t e su r face . Humic ac id caused the h ighes t
f l ux dec l ine o f t he t h ree o rgan ics u sed due to i ts
h ighes t concen t ra t i on in t he boundary l aye r ,
wh ich was re l a t ed t o i t s l a rges t mo lecu la r we igh t
a n d t h u s a l o w e r d i f f u s i o n a w a y f r o m t h e
membrane . As a re su l t , p rec ip i t a t i on occu r red .
Opera t ion a t l ow f lux , low t ransm emb rane p res -
su re and h igh shea r reduced the depos i t i on o f
in so lub le ma t t e r a t t he membrane su r face and
thus foul ing.
I n a m o r e d e t a i le d s t u d y , H o n g a n d E l i m e l e c h
[100] i nves t i ga t ed the ro l e o f chemica l and
p h y s i c a l in t e ra c t io n s i n N O M f o u l in g o f N F
mem branes . Th e ro l e o f so lu t ion ion i c s t reng th ,
p H , a n d d i v a l e n t c a t i o n s i n N O M m e m b r a n e
fou l ing , a s we l l a s t he fou l ing mechan i sms in -
vo lved , a re rep ro duce d in F ig . 2 [ 100] . O f t hese
chem ica l fac to rs, t he p re sence o f d iva l en t ca t i ons
s u c h a s c a l c i u m a n d m a g n e s i u m h a d a m a r k e d
ef fec t on NO M fou l ing . In add i ti on , i t was show n
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Table 2
Overview of tools available for determining the fouling potential of feed wa ter and fouling diagnosis of NF and RO
mem branes used in water treatment [95]
Tools Fouling diagnosis Com ment
Integrated diagnosis (autopsy)
Biofilm m onitor and AOC
SOCR
MFI-UF
ScaleGuard
Biofouling, inorganic,
compounds and particles
Biofouling
Biofouling
Particulate
Scaling
Diagnosis of foulant in membrane elements
Predictive and prevention of biofouling by
determining the (growth) potential o f water
Non-destructive method for determining
active biomass in mem brane systems
Particulate fouling potential o f water
Optimizing recovery, acid dose and anti-
sealant dose
C h . em i ca l C o n d i t i o n s
N ~ in ~ u t i o n N O M o n e m ~ r ~ S u r f a c e
presencea divalent~ n s
C on ~J ~t ~ I N ~ ~ a 9 t a ~ r
~ r e p e r m n t s
~ aecl~r e
h l gh p H 6n d
a ~ , . ~ o f d h , a t ~ t
c a t i o n s
~ ~ r m th~ f ou~ l~ ~ y ~
Fig. 2. Schematic description o f the e ffect of solution chemistry on the conformation o f NOM macrom olecules in the
solution and on the mem brane surface, and the resulting effect on mem brane permeate flux. The NO M fouling described
in the diagram is applicable for permeation rates above the critical flux. The difference between the two chemical
conditions shown becom es less clear a t ver y high permeate flux . At low perm eate flux (belo w the critical flux), no
significant fouling is observed f or both co nditions [ 100].
t h a t r a p i d m e m b r a n e f o u l i n g o c c u r s a t h i g h p e r -
m e a t i o n r a te s , e v e n u n d e r c h e m i c a l c o n d i t i o n s n o t
f a v o r a b l e f o r f o u l i n g , s u c h a s l o w i o n i c s t r e n g t h ,
l o w l e v e l s o f d i v a l e n t c a t io n s , a n d h i g h p H . T h e
r a te o f f o u l i n g i s c o n t r o l l e d b y a n i n t e r p la y
b e t w e e n p e r m e a t i o n d r a g a n d e l e c t r o s ta t i c d o u b l e
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l aye r repu l s ion ; t ha t is , NOM fou l ing o f NF
mem branes i nvo lves i n t e r re la t i onsh ip coup l ing )
be tween phys i ca l and chem ica l i n te rac t ions . A l so ,
t he add it i on o f a s t rong che l a t ing agen t ED TA )
to feed wa te r reduces NO M fou l ing s ign i f ican t ly
b y r e m o v i n g f re e an d N O M - c o m p l e x e d c a l c i u m
ions.
A m o r e n e g a t i v e ly c h a r g e d m e m b r a n e s u r f a c e
co r re l a ted wi th i nc reased fou l ing , i nd i ca t ing e l ec -
t ro st a ti c repu l s ion , was no t e f fec t i ve fo r fou l ing
con t ro l . Inc reased su r face a rea due to g rea t e r
su r face roughness fo r t he more nega t ive ly
c h a r g e d m e m b r a n e s m a y h a v e c o n t r i b u t e d t o
o rgan ic adso rp tion fou l ing . Fou l ing was redu ced
w i t h a d d i t io n o f m o n o c h l o r a m i n e , l o w e r f l ux , a n d
lower recovery . Exper im en t s ope ra t ed unde r such
cond i t i ons d id no t p roduce fou l ing and a f f i rmed
the v i ab i l i t y o f i n t eg ra t i on membrane sys t ems
IMSs) fo r t rea tmen t o f t h i s so u rce [42] .
T h e e f f ec t o f m e m b r a n e f o u l i n g o n r e j e c t io n
was p resen ted by Sch afe r e t al . [94] . The s tudy
w a s b a s e d o n e x p e r im e n t s w i t h M F , U F , a n d N F
m e m b r a n e s . I t w a s c o n c l u d e d t h a t f o u l in g w a s
d e p e n d e n t o n p o r e s i z e a n d w a s c a u s e d b y l a r g e
co l lo ids 250 nm) o r coagu lan t f l oes i n M F, sma l l
co l lo ids , o rgan ic -ca l c ium f loes and aggrega t es
wi th a dense s truc tu re fo rm ed s lowly ) in UF , and
by a ca l c ium-organ ic p rec ip it a t e i n NF . T he fou l -
ing in f luenced the re j ec t i on o f co l lo ids in M F and
t h a t o f N O M i n U F a n d N F . I f a h i g h l y c h a rg e d
l a y e r w e r e d e p o s i t e d o n N F m e m b r a n e s , c a t io n
re j ec t ion was a l so i n f luenced . The cha rac t e r i -
za t i on o f pe rme a te o rgan ics revea l ed tha t l ow
m o l e c u l a r w e i g h t a c i d s p a s s e d t h r o u g h t h e N F
membranes and tha t t he re j ec t i on o f t hese
ac ids was a l so dependen t on the depos i t on t he
m e m b r a n e .
T h e m e c h a n i s m s w h i c h c a n e x p l a i n s u c h a n
inc rease i n re j ec t i on a re d i f fe ren t fo r t he t h ree
m e m b r a n e p r o c e ss e s . I n M F , p o r e p l u g g i n g a n d
cake fo rmat ion was found respons ib l e fo r fou l ing .
Th i s reduces t he po re s i ze and inc reases re j ec ti on .
In UF , i n t e rna l po re adso rp t ion o f ca l c ium-
organ ic f l oes reduc es t he i n t e rna l po re d i amete r
and sub sequen t ly i nc reases re j ec t ion . In NF , t he
key fac to r appea rs t o be t he ch a rge o f t he depos i t.
Th i s was i nves t i ga t ed wi th t he depos i t i on o f a
fe r r ic ch lo r ide p rec ip it a t e . I f t he p rec ip i ta t e w ere
a h igh pos i t i ve cha rge , t he re j ec t i on o f ca t i ons
i n c r e a s e d a n d t h a t o f n e g a t i v e l y c h a r g e d l o w
m o l e c u l a r w e i g h t a c i d s d e c r e a s e d c o m p a r e d to
mo re neu t ra l o r nega t ive p rec ip i t a te s . In e ssence ,
the re j ec t i on cha rac t e r i s t i c s o f membranes de -
p e n d e d m o r e o n t h e f o u l in g s t a te o f th e m e m -
branes and the na tu re o f fou l an t s t han on the
in i t i a l membrane cha rac t e r i s t i c s . On the o the r
hand , K osu t i c and Ku ns t [ 101 ] conc lu ded tha t the
pore s i ze d i s tr i bu t ion cu rv es and e f fec t ive num ber
o f p o r e s o n t h e m e m b r a n e s u r f a c e i n d i c at e d pl u g -
g i n g o f t h e t ig h t n e t w o r k p o r e s i n t h e m e m b r a n e
su r face and even the i r d i sappea rance du r ing
pro longed fou l ing . The neg l ig ib l e changes o f t he
t h e N F m e m b r a n e p e r f o r m a n c e p ar a m e t er s d u r i n g
mem brane fou l ing wi th hum ie ac id cou ld be a t tr i -
bu t ed to i n s ign i f i can t changes i n t he po re s i ze
d i s tr i bu t ion and the e f fec t i ve num ber o f po res i n
t h e s u r fa c e o f t h e m e m b r a n e . A d e l a y o f c h e m i c a l
c l e a n in g o f t h e f o u l e d m e m b r a n e l e d t o i rr e v er -
s ib le changes i n t he po ro us s t ruc tu re o f bo th t he
R O a n d N F m e m b r a n e s , w h i c h w e r e c a u s e d b y
microbia l ac t iv i ty .
Dep end ing on the feed com pos i t i on , fl ux de -
c l i ne rang ing f rom a few pe rcen t t o a comple t e
loss o f wa te r f l ux can be found . Fo r aqu eous
so lu t ions con ta in ing o rga n ic com ponen t s , i n t he
absence o f suspended so l id s o r h igh concen-
t ra ti ons o f i ons t ha t m ay cause sca l ing , adso rp t ion
of o rgan ic ma te r i a l on the membrane su r face i s
the ma jo r fou l ing me chan i sm [92 ]. Iden t i f i ca t ion
of t he pa ramete rs t ha t p l ay a ro l e i n t he p rocess o f
adso rp t ion on the m em bran e su r face shou ld lead
t o a b e t te r u n d e r s t a n d i n g o f t h e m e c h a n i s m t h at
re su l t s i n a h ind rance o f t he wa te r f l ux , and
even tua l ly t o po re b lock ing . In t ha t s tudy , m any
paramete rs w ere se l ec t ed fo r a de t a i l ed i nvest i -
ga t ion o f t he adso rp t ion p rocess such as d ipo le
mom en t , po l a r i zab i l it y , d i e l ec t r i c cons t an t , so lu -
b i l i t y i n wa te r , oc t ano l -wa te r pa r t i t i on coe f f i -
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c ien t , con tac t ang le membrane /wa te r , mo lecu la r
s i ze, and pKa . A l l o f t hese pa ramete rs we re
e v a l u a te d i n t he f r a m e w o r k o f a d s o r p t io n o n N F
m e m b r a n e s f r o m a n a q u e o u s s o l u t io n . T h e u s e o f
each pa ramete r fo r desc r ib ing adso rp t ion was
d i scussed . The pKa was re j ec t ed on theo re t i ca l
g rounds ; o the r pa ramete rs such as t he so lub i l i t y
in wa te r p roved to be imprac t i ca l. Ev en tua l ly , the
d ipo le momen t , oc t ano l -wa te r pa r t i t i on coe f f i -
c i en t, and mo lecu la r s i ze were se l ec t ed .
T h e a d s o r p t io n o f o r g a n i c m o l e c u l e s f r o m a n
a q u e o u s s o l u t i o n o n t h e m e m b r a n e s u r f a c e o r
in s ide t he mem brane po res has a l a rge i n f luence
o n ~ a t e r f l u x . T h e m o r e a g i v e n c o m p o n e n t i s
adso rbec l on the membrane , t he l a rge r t he f l ux
dec l ine . Th i s m ay be up to a f l ux dec l ine o f 60
fo r a concen t ra t i on o f 10 mmole /1 o f a s ing l e
o rgan ic componen t i n pu re wa te r . Schaep e t a l .
[4 ] sugges t ed UF as p re t rea tmen t , add ing hydro -
ch lo r i c ac id t o min imize t he fou l ing , e spec i a l l y to
p reven t ca l c ium ca rbona te . F ina l ly , Shaa l an [ 102]
sugges t ed an empi r i ca l equa t ion to p red i c t t he
i m p a c t o f s o m e w a t e r c o n t a m i n a n t s o n f l u x
d e c l in e o f th e N F m e m b r a n e s . T h e s e f o r m u l a e
enab le dec i s ion -mak ing conce rn ing the su i t ab l e
p re t rea tmen t fo r NF sc hem es and a l so se l ec t i on o f
the mos t app ropr i a t e c l ean ing cyc l e . The c o r re -
la t ion [Eq. (1)] i s appl icable for the fo l lowing
condi t ions: t ( t ime) = 10-80 h , I ( ion s t rength)=
1.6-75 rnM, TO C con cent r a t ion = 0--20 mg/1 , P
(opera t ing p ressu re ) = 80 -14 7 ps i and d (mem -
brane cu to f f ) = 300-1000 Da l ton . Th i s co r re l a -
t i on can . g ive a reasonab le p red i c t i on o f f l ux
dec l ine changes wi th re spec t t o an i n i ti a l se t o f
condi t ions:
J / J o = 0 .6 5 e x p ( - 0 . 1 3 t ) e x p ( - 0 . 0 3 1 I )
1 )
exp (131.896 TO C) ex p(1 .23 P) ex p( -0 .34 d)
5 . S e p a r a t io n m e c h a n i s m w i t h N F m e m b r a n e s
N F c o m b i n e s r e m o v a l o f u n c h a r g e d c o m -
ponen t s a t nanosca l e w i th cha rge e f fec t s be tween
so lu t ion and the su r face o f t he membrane . The
r e m o v a l o f u n c h a r g e d c o m p o n e n t s r e s u lt s f r o m
size exc lus ion o r m ay be a re su l t f rom d i f fe rences
in d i f fus ion ra te s i n a no n-porou s s t ruc tu re , wh ich
depend a l so on molecu la r s i ze [2 ] . The cha rge
e f fec t , on t he o the r hand , re su l t s i n remova l o f
(ma in ly mul t i va l en t ) ions ; t he fo rm er e f fec t re -
su i ts i n t he remov a l o f unchar ged o rgan ic spec i es .
T h u s , t h e s e p a ra t io n p e r f o r m a n c e o f N F m e m -
branes can be i den t i f i ed i n to t he s i ev ing ( s te r i c-
h ind rance ) e f fec t and Donnan (e l ec t ros t a t i c )
effect [103].
Kosu t i c and Kuns t [104] showed tha t
t h e
r e j e c t i o n o f o r g a n i c s d e p e n d e d o n t h e s i e v i n g
paramete rs ( so lu t e and po re s i ze) . In add i t i on to
tha t fac to r , Van de r Bruggen e t a l . [105] con -
c luded tha t t he po l a r i ty and the cha rge o f o rgan ics
migh t i n f luence the re j ec t i on p rocess , e spec i a l l y
w h e n t h e p o r e s i z es o f m e m b r a n e s a r e l a rg e . T h e
mo lecu la r d i f fus ion i s ano the r fac to r a f fec t i ng the
r e j e ct i o n a s m e n t i o n e d b y C h e l l a m a n d T a y l o r
[106]. The re j ec t i on o f i on i c comp onen t s i n NF
occur red as a re su l t o f cha rge i n t e rac t ions
b e t w e e n t h e m e m b r a n e s u r f a c e a n d t h e i o n s
(Donn an exc lus ion ) . H igh re t en t ions were found
fo r Na2SO4 and fo r M gC12 wh i l e t he re t en t ion fo r
NaC1 was m uch low er [ 107] . Lhassan i e t a l [ 108]
sugges t ed tha t i ons a re t rans fe r red by two
mec han i sm s in NF : (1 ) convec t ion : t he l a rge r i ons
a re more re t a ined (phys i ca l pa ramete rs ) ; (2 ) so lu -
b i l i za t i on -d i f fus ion : a fun c t ion o f t he so lva t ion
energ i es and the pa r t i ti on coe f f i c ien t . The l a rge r
the i on , t he l e ss we l l i t i s re t a ined (chemica l
pa ramete rs ) . A p i lo t p l an t was b u i l t to rem ove the
ions o f t he same va l ence s ( f l uo r ide , bromide~ and
ch lo r - ide i ons ) . The re su l t s i nd i ca t ed tha t t h e
smal l e r t he i on , t he be t t e r i t i s re ta ined , ma in ly a t
l o w p r e s s u r e , w h e n c h e m i c a l s e l e c t i v i t y
p redomina t es . Th i s i s de r ived f rom the so lva t ion
energy o f t he i ons by wa te r . S ince f l uo r ide i ons
a re more so lva t ed , t hey a re be t t e r re t a ined than
ch lo r ide and iod ide i ons .
Schaep and Vandecas t ee l e [109] u sed th ree
m e t h o d s t o d e t e r m i n e t h e c h a r g e o f N F m e m
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branes . The me thods were : t i t ra t i on , s t reaming
po ten t ia l , and m em brane po ten t i a l. Th e re su l ts o f
the membrane po ten t i a l measu remen t s , where a
membrane sepa ra t e s two e l ec t ro ly t e so lu t ions ,
were i n qua l i t a ti ve acco rdanc e wi th t he re su l t s o f
t i tra t ion . I t wa s sho wn tha t ion d i ffusio n i s inf lu-
e n c e d b y t h e m e m b r a n e c h a r g e , a n d a n i o n
d i ff u s io n t h r o u g h n e g a t i v e m e m b r a n e s i s m o r e
h indered than ca t ion d i f fus ion , wh i l e t he op pos i t e
i s found fo r pos i t i ve ly cha rg ed mem branes . The
e n h a n c e d D o n n a n e f f e c t o n r e j e c t i o n o f m i x t u r e
o f po lye l ec t ro ly t e and monova len t sa l t (NaC1)
us ing two NF m emb ranes was s tud i ed [110].
T h e r e te n t io n o f N a + and M g 2÷ ions in thei r
n i t ra t e so lu tions wa s s tud i ed in t he pH range o f
0 .5 t o 7 .0 us ing a NF membrane [111] . I t was
s h o w n t h a t t h e M g2+ ions w ere v e ry we l l re t a ined
(97 .5 -99 .5 ) w i th in tha t pH range , wh i l e t he
re t en t ion o f t he N a + ion va r i ed f rom 80 to 40 .
T h e s m a l l N a + re t en t ion was mea su red in neu t ra l
cond i t ions . In add i t i on , i t seems tha t a t ve ry l ow
p H t h e m e m b r a n e l o se s m o s t o f i ts c h a r g e d u e t o
a h igh concen t ra t i on o f p ro tons . Th i s enab les t he
separa ti on o f ca t i ons , ma in ly b y the i r s i ze cha rac -
ter is t ics . Afo nso e t a l . [ 112] sug geste d a re la t ion-
sh ip be tween the e f fec t i ve su r face cha rg e (CM) o f
tWO NF mem branes (Desa l G -10 and D esa l G-20)
th rough s t reaming po ten t i a l measu remen t s and
the feed so lu t ion concen t ra t i on (Cf) , o f t he t ype o f
a Freun dl ich i so therm [Eq. (2)] .
In CM = a + b In Cf (2)
su r face . W ang e t a l. [103] conc lud ed tha t NF45
membrane was expec t ed to be su i t ab l e fo r t he
sepa ra t i on o f t he mix tu re so lu t ions o f b iva l en t
an ion e l ec t ro ly t es o r neu t ra l o rgan ic so lu tes w i th
a f e w h u n d r e d s o f M W a n d u n i v a l e n t a n i o n
e l ec t ro ly t es o r neu t ra l o rgan ic so lu t es w i th
seve ra l 10 - fo lds o f M W . T he exper im en ta l re su l ts
ind i ca t ed tha t t he re j ec t i on o f o rgan ic so lu t es and
ino rgan ic e l ec t ro ly t es by the NF45 membrane
f r o m h i g h t o l o w w e r e r a n k e d a s :
Raff inose Na2SO 4> MgSO4 > suc rose >
g lucose >> KC1 = NaC1 > M gCI 2 > g lyce r in
Recen t ly , Mat suura [113] p rov ided seve ra l
d i rec ti ons i n wh ich p rog ress i n sepa ra t ion can be
improved in t he fu tu re . Fo r NF membranes , i t
w a s s h o w n t h a t i m p r o v e m e n t o f p r o d u ct i v it y b y
h i g h e r f lu x m e m b r a n e s w a s a c h i e v e d t h ro u g h t h e
d e v e l o p m e n t o f t h i n - f il m c o m p o s i t e s w i t h a v e r y
th in se l ec t i v i ty sk in l aye r . In ad d i t ion , K ur iha ra e t
a l. [114] a t t r ibutes the h ighe r prod uct iv i ty of cur-
ren t memb ranes t o an i nc rease i n su r face rough-
n e s s. O t h e r m e t h o d s u s e d t o i m p r o v e m e m b r a n e
p e r f o r m a n c e i n c l u d i n g d e v e l o p m e n t o f m i x e d -
m a t r i x m e m b r a n e m a t e r i a l s i n c l u d i n g h y b r i d
o rgan ic - ino rgan ic ma te r i a l s and the su r face mod i -
f i ca t io n o f m e m b r a n e s . T h e s e i m p r o v e m e n t s a r e
no t on ly l im i t ed t o h ighe r f l ux a t l ow er ope ra t i ng
pressu res bu t a l so i n t e rms o f l e ss fou l ing
propens i ty , h ighe r ch lo r ine t o l e rance and
increa sed so lvent resis ta nce [ 115].
T h e D e s a l G - 2 0 m e m b r a n e , t h e o n e b e a r i n g a
h igher su r face cha rge , appea red to d i sp l ay a l og -
ari thmic re la t ionship for NaC1 [Eq. (3)] :
In CM m o l / m3) = 3.57
+ 0 .475 In Cf (mol /m 3) 3 )
Fur the rmore , t he su r face cha rge o f Desa l G-20
was l i ke ly t o be pa r t i a l ly due to t he adso rp t ion o f
an ions f rom the so lu t ion on to t he membrane
6 M o d e l li n g o f N F m e m b r a n e s
A good p red i c t i ve mo de l w i l l a l l ow use rs to
ob ta in mem brane cha rac t e r i st i c s , p red i c t p rocess
pe r fo rm ance as we l l a s op t imize t he p rocess . The
ab i l i t y t o deve lop such mode l l i ng t echn iques
success fu l ly w i l l re su l t i n a sma l l e r number o f
exper imen t s and subsequen t ly save t ime and
m o n e y i n t h e d e v e l o p m e n t s t a g e o f a p r o c e s s
[116].
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6 .1 . M o d e l s b a s e d o n t h e e x t e n d e d N e r n s t - P l a n c k
e q u a t i o n
F o r N F m e m b r a n e s , t h e m o s t c o m m o n l y
a d a p te d m o d e l s w e r e t h o s e b a s e d o n t h e e x t e n d e d
Nernst -Plank equat ion [Eq. (4)] :
d c i z i ci D i p F d ~
J i : - D i , p d x R T ~ + K i e
ci v
(4)
Tsuru e t a l. [117] f i rs t pro pos ed su ch a mod el for
NF membranes , desc r ib ing the t ranspor t o f i ons
in t e rms o f an e f fec t ive membrane th i ckness :
po ros i t y ra t io (m) A x / A k , a n d a n e f f e c t iv e m e m -
b r a n e c h a r g e d e n s i t y ( m o l . m -3) Xa. T h e m o d e l
was success fu l i n desc r ib ing the re j ec t i on o f
mixed sal t so lu t ions. In a la ter work [118], a
s imi l a r mode l , bu t w i th t he i nc lus ion o f s t e r i c
e f fec t s , was used to mode l t he t ranspor t o f
o rgan ic e l ec t ro ly t es i n t he p resence o f Na ÷ a n d
C1- ions.
The e l ec t ros t a t i c and s t e r i c -h ind rance (ES)
m o d e l w a s d e v e l o p e d f r o m t h e s t e ri c - h in d r a n c e
pore mode l and the Teore l l -M eyer -S ieve rs mode l .
The new mode l i s u sed to p red i c t t he t ranspor t
p e r f o r m a n c e o f c h a r g e d s ol u te s t h r o u g h N F m e m -
branes based on the i r cha rg ed po re s t ruc tu re : an
aqueous so lu t ion o f d i f fe ren t t race r cha rged
so lu tes ( sod ium benzene su l fona t e , sod ium naph-
tha l enesu l fona t e and s od ium t e t rapheny l -bo ra t e )
and a suppor t i ng sa l t ( sod ium ch lo r ide ) t o ve r i fy
t h e E S m o d e l . T h e p r e d i c t i o n b a s e d o n t h e E S
m o d e l w a s i n g o o d a g r e e m e n t w i t h t h e e x p e r i-
me ntal resul t s .
B o w e n a n d M u k h t a r [ 1 19 ] s u g g e s t e d a h y b r i d
mod e l i n re j ec t ion o f a s ing l e e l ec t ro ly t e a t s i x NF
m e m b r a n e s . T h e h y b r i d m o d e l i s b a s e d o n t h e
e x t e n d e d N e r n s t - P l a n c k e q u a t i o n w i t h a D o n n a n
cond i t ion a t t he mem brane / so lu t ion in t e r faces and
the h indered na tu re o f t ranspor t i n t he mem -
branes . Suc h an in t e rp re t a t i on a l l ows a cha rac t e r i -
z a t io n o f th e m e m b r a n e s i n t e r m s o f t w o
paramete rs , e f fec t i ve membrane th i ckness (Ax)
and e f fec t ive membrane cha rge dens i ty (X) . A
know ledge o f t he e f fec t i ve mem brane thi ckaaess ,
e f fec t i ve cha rg e dens i ty and e f fec t ive po re s i ze
a l lows use o f t he m ode l t o p red i c t t he sepa ra t i on
o f m i x t u r e s o f e l e c t r o ly t e s a t a m e m b r a n e . V e r y
g o o d a g r e e m e n t b e t w e e n s u c h a p r e d i c t io n a n d
exper imen ta l da t a has been ob ta ined .
Bowen et a l . [120] were the f i rs t to coin the
t e r m D o n n a n - s t e r i c- p o r e m o d e l ( D S P M ) t h a t
w a s a m o d i f i e d f o r m o f a h y b r i d m o d e l . T h e
mo de l t akes i n to accoun t t he h ind ranc e e f fec ts fo r
d i f fus ion and con vec t ions t o a l l ow fo r transpor t
o f i ons / cha rged so lu t es t ak ing p l ace wi th in a con -
f ined space i n s ide t he mem branes . Th i s i nc lus ion
a l lows the mem bran e to be cha rac t e r i zed in t e rms
of an e f fec t ive po re rad ius , re , in addi t ion to
A x / A k
a n d Xd. Sub seque nt s tudies [ 121,122] sho w ed that
t h e m o d e l c a n p r e d i c t t h e r e j e c ti o n p e r fo r m a n c e
very w e l l o f s i ng l e sa l t so lu t ions .
Recen t ly , Bowen and Wel l foo t [123] sug -
g e s t ed m o d i f i c a ti o n s to t h e D S P M m o d e l s f o r N F
membranes . The f i r s t mod i f i ca t i on was used to
t ake i n to accoun t t he e f fec t s o f l og -norma l po re
s i ze d i s tr i bu t ions on the re j ec t i on o f uncharged
so lu tes and NaC1 a t hypo the t i ca l NF mem branes .
The re su l t s show ed tha t t he e f fec t o f po re -wi se
va r i a t ion in v i scos i ty i s l e ss apparen t w hen con-
s ide red a t a de f ined app l i ed p ressu re ra the r than
a t a de f ined f l ux , show ing a fu r the r advan tage o f
bas ing theo re t i ca l ana lys i s o f NF in te rms o f
app l i ed p ressu re . Trunca t ed po re s i ze d i s t r i bu -
t i ons gave b e t t e r ag reem en t t han fu l l d is t r ibu t ions
wi th exper imen ta l re j ec t i on da t a t he fo r NF
m e m b r a n e . T h e s e c o n d m o d i f ic a t io n w a s d e v e l -
oped to ca l cu l a t e t he unch arged so lu t e re j ec t i on
o n t h e b a s i s o f a s i n g le m e m b r a n e p a r a m e t e r
(po re rad ius ). T he theo re t i ca l desc r ip ti on i s based
o n a h y d r o d y n a m i c m o d e l o f h i n d e r e d s o l u t e
t ransport i n po res . The g ood ag reem en t be twe en
th i s mode l and exper imen ta l da t a con f i rms tha t
u n c h a r g e d s o l u te r e j e c t io n i n N F m e m b r a n e s m a y
b e w e l l - d e s c ri b e d b y s u c h a c o n t i n u u m m o d e l .
T h e s u r f a c e p r o p e r t i e s o f m e m b r a n e s h a v e
been cha rac t e r i zed in t e rms o f po t en t i a l i n t he
Oute r He lmho l t z P l ane ( ~d ) [ 124] . A theo re t i ca l
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ana lys is o f e l ec t r i ca l and e l ec t rok ine t i c pheno-
m ena (e lect ro ly te c ond uct iv i ty inside pores Xpor~,
mem brane po ten t i a l , Era , and s t reaming po ten t ia l
(SP) occu r r ing in cha rge d cap i l la r i e s was dev e l -
o p e d i n t h e f r a m e w o r k o f t h e l i n e a r t h e r m o -
dynam ics o f i r reve rs ib l e p rocesses w i th t he a im
of s tudyin g the varia t ion of SP, E, , an d ~por~ as a
func t ion o f Wd fo r va r ious po re s i zes and
e l ec t ro ly t e concen t ra t i ons . The ana lys i s e s t ab -
l ishe d the var iat io n o f )~poro, Em and SP vs. the
Oute r He lmho l t z P l ane po ten t i a l (Wd) . On the
o the r hand , a comprehens ive semi -empi r i ca l
m a t h e m a t i c a l m o d e l b a s e d o n t h e P o i s s o n -
Bo l t zmann equa t ion , membrane su r face cha rge
mode l , was deve loped [125] t o i nves t i ga t e t he
e f fec ts o f so lu t ion phys i co -che mis t ry on the ze t a
po ten t ia l o f NF mem branes . T he co r re l a t i ons
be tween the ze t a po t en t i a l, su r face ch a rge dens i ty
and so lu t ion chemis t ry were we l l de l i nea t ed by
th is new mode l .
6.2. Models based on the Spiegler-Kedem model
A n o t h e r a p p r o a ch f o r N F m o d e l i n g is t h r o u g h
t h e S p i e g l e r - K e d e m m o d e l [ 1 2 6 - 1 2 9 ] . T h i s
b l ack -box approach a l l ows the mem branes t o be
charac t e r i zed in t e rms o f sa l t pe rmeab i l i ty , P s,
and the re f l ec t ion coe f f i c i en t o . Th i s mo de l i s i n
the f i rs t instance l imi ted to b inary sa l t systems,
and in t he l im i t i ng case t o a b ina ry sa l t sys t em in
the p resence o f a com ple t e ly re j ec t ed o rgan ic i on
[127,129].
A re j ec t i on o fpe rch lo ra t e an ion (C104) us ing
N F a n d U F m e m b r a n e s w a s p er f o r m e d b y Y o o n
e t a l. [130] . The da t a ob t a ined wer e mod e l l ed by
app l i cat i on o f a non-equ i l i b r ium the rmo dyna mic
m o d e l . T h e m o d e l h a s f i v e p a r a m e t er s : m o l e c u l a r
t ranspor t coe f f i c i en t (w) , o smot i c p ressu re g rad -
i en t (AII ) , mo lec u la r re f l ec t i on coe f f i c i en t (o ) ,
t he ave rage bu lk f l u id i n t e r fac i a l concen t ra t i on
be tween the feed an d p e rm ea te s ide (Cavg), and
the solvent f lux (Jr) . Th e resul t s ind icated that , in
a pu re com ponen t sys t em, t a rge t i ons ( i n t h is ease
C104) can be exc lud ed f rom (neg a t ive ly ) cha rged
mem branes wi th l a rge r po res w i th re spec t to t he
size of the ion , but th is re ject ion capabi l i ty i s
qu ick ly l o s t in t he p resen ce o f a su f f i c ien t amoun t
o f o the r i ons t ha t can sc reen the apparen t e l ec t ro -
s ta t ic force f ie ld . As in tu i t ively expected , the
pe rch lo ra t e f l ux i s governed by convec t ion in
l a r g e - p o r e m e m b r a n e s . A n o t h e r m o d e l w a s
developed by Pontal ier e t a l . [131]; i t describes
m a s s t r an s f e r th r o u g h t h e c o m b i n a ti o n o f c o n -
vect ive--d i ffusive f lux in the pores and di ffusive
f lux in t he mem bran e ma te r i a l. Th i s m ode l sup -
posed so lu t e t rans fe r on ly occu rs i n t he po res
whi l e so lven t can a l so pass t h rough the mem-
brane ma te r i a l . So lu t e and so lven t f l uxes t hen
dep end on s ie ving effect , f r ic t ion and e lect rosta t ic
fo rces , pe rm eab i l i t y and po re rad ius o f t he mem-
brane . A l l t hese cha rac t e r i s t i c s were i n t roduc ed in
the mod e l v i a f i ve pa ramete rs wh ich can be e s t i-
ma ted f rom ex per imen ta l da t a . Th i s mode l cou ld
be us ed fo r t he op t imiza t ion o f t he NF p rocess .
D iaw ara e t a l . (132) u sed an NF45 mem brane
to t rea t h igh ly f l uo r ina t ed b rack i sh d r ink ing
w a t e r. T h e i r a p p r o a c h w a s b a s e d o n t h e p h e n o -
m e n o l o g i c a l m o d e l o f S p i e g l e r , K e d e m a n d
Katcha l sky (SKK) under d i l u t e so lu t ion cond i -
t i ons bu t neg lec t ed the cha rges ca r r i ed by the
m e m b r a n e . E x p e r i m e n t a l r e s u lt s s h o w e d f o r t h e
f i rs t t ime tha t se l ec t i ve de f luo r ina t ion can occu r
u s i n g a N F m e m b r a n e . T h e r e j e c ti o n w a s a r o u n d
9 6 . T h e p h e n o m e n o l o g i c a l p a r a m e t er s o ( th e
membrane re f l ec t i on coe f f i c i en t ) and P8 ( t he
so lu t e pe rme ab i l i t y ) we re ca l cu l a t ed , and i t was
obse rved tha t o cou ld be l i nked l i nea r ly t o t he
h y d r a t io n e n e r g y o f t h e h a l id e i o n s a s s h o w n i n
Eq . (5 ) . Fu r the rmore , P s appea red to be l i nke d to
the t ype o f e l ec t ro ly t e .
o (kJ /mo l ) = 0 .01397 + 0 .00212 Ehy (kJ /mol )
5 )
T h e S K K m o d e l w a s a ls o u s ed b y V a n d e r
Bruggen and Vandecas t ee l e [133] t o deve lop a
m o d e l f o r t h e r e t e n ti o n o f o r g a n i c m o l e c u l e s w i t h
a g iven NF me mb rane a t d i f fe ren t p ressu res a s a
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f u n c ti o n o f t h e m o l e c u l a r w e i g h t . I t w a s s h o w n
t h a t fo r th e U T C - 2 0 m e m b r a n e , a t r a n s m e m b r a n e
p r e s s u r e o f 8 - 1 0 b a r i s o p t i m a l i n v i e w o f t h e
re t en t ions . Th i s i s he lp fu l i n t he cho ice o f t he
opera t ing p ressu re fo r p rac t i ca l app l i ca ti ons , i n
add i t i on to economica l cons ide ra t i ons such as
ene rgy requ i remen t s , work ing cos t s and inves t -
m ent costs .
6 . 3 . S o p h i s t i c a t e d m o d i f i c a t i o n s t o t h e m o d e l s
H a g m e y e r an d G i m b e l [ 13 4] p r o p o s e d t o
inco rpora t e t he cha nge o f t he d i e l ec t r i c cons t an t
be tween bu lk and po re so lu t ion to ca l cu l a t e t he
ion d i s tr i bu tion be twe en bu lk and po re so lu tion .
Based on the ex t ended Nerns t -P l anck equa t ion ,
t h e d e v e l o p e d m o d e l w a s u s e d t o m o d e l t h e d a t a
ob ta ined f rom the re j ec t i on o f s ing l e sa l t so lu -
t i ons a t d i f fe ren t concen t ra t i ons , t he re j ec t i on o f
t e rna ry i on mix tu res a s we l l a s t he re j ec t i on a t
d i f f e r e n t p H v a l u e s b y N F m e m b r a n e s . T h e
dec rease o f NaC1 re j ec t i on as we l l a s t he i nc rease
o f CaC12 re j ec t i on was we l l desc r ibed by the
m o d e l . T h e r e j e c t io n s o f t e r n a r y i o n m i x t u re s o f
NaC I/Na2SO4 and NaC1/CaC 12 w ere d eterm ined
e x p e r im e n t a l ly a n d w e r e p r e d i c t e d b y t h e m o d e l
excep t fo r t he NaC1/CaC12 mix tu re i n a NF
m e m b r a n e w h e r e t h e n e g a t i v e r e j e c t io n s o f N a +
we re obse rved bu t no t p red i c t ed .
Lefebvre e t a l . [135] s tud i ed the re j ec t i on o f
single sa lt s and a m ul t i -e le ct ro ly te mix ture
exper imen ta l l y and theo re t i ca l l y u s ing a l oose
ce ramic
TiO
m e m b r a n e o v e r a c e r t a in r a n g e o f
opera t i ng cond i t i ons pH and feed sa l t concen -
t ra t i on ) . The re su l t s were compared wi th t hose
o b t a in e d b y a n o rg a n i c N F m e m b r a n e N F 2 0 0 ) .
Theore t i ca l i on re j ec t i on p red i c t i ons fo r mu l t i -
e l ec t ro ly te so lu t ions a re o b t a ined by num er i ca l ly
so lv ing the h inde red t ranspor t ex t ende d Nerns t -
P l anck ENP ) ion f l ux equa t ions us ing the com-
p u t e r s i m u l at io n p r o g r a m , N A N O F L U X , w h i c h
incorporates e lect rosta t ic , s ter ic , and hydro-
dynamic i n t e rac t ions and a new cho ice fo r i on
size bare crysta l , or Paul ing, radius) . Th e resul ts
showed tha t t he l oose r ce ramic nanof i l t e r does
no t necessa r i l y pe r fo rm l e ss we l l than the o rgan ic
one . In a l l ope ra t i ng cond i t i ons , t he re j ec t i on o f
C a2+ i s ve ry h igh com pare d to t he re j ec t i on o f
N a +. Th i s w as due to t he s ign o f a pos i t i ve
m e m b r a n e c h a r g e . T h e h i g h r e j e c t i o n o f C a 2+ fo r
pos i t i ve ly cha rge d mem brane s is ma in ly due to a
s t rong Donnan / s t e r i c exc lus ion a t t he feed /
m e m b r a n e i n t e rf a c e . T h e l o w r e j e c t i o n o f N a + f o r
pos i t i ve ly cha rged m em bran es i s due to i t s re l a -
t i v el y w e a k D o n n a n / s t e ri c e x c l u s i o n c o m b i n e d
wi th i t s e l ec t r i ca l m ig ra t i on in t he s t reaming
po ten t ia l , wh ich t ends t o fav o r t he t ransmiss ion o f
co - ions . The au tho rs con c lude d tha t t he i r me tho d
cou ld l ead to a cos t -e f fec t i ve way fo r choos ing
appropr ia t e NF mem branes , op t imiz ing the imp le -
men ta t i on o f i ndus tr i a l NF p rocesses , and f i na l ly
d imen s ion ing indus t r i a l -sca l e NF p l an ts .
B a s e d o n t h e M a x w e l l - S t e f a n t r a ns p o r t e q ua -
t ions, S t raatsma et a l . [136] developed a NF
me mb rane f i l t ra t i on mo de l t o ca l cu l a t e t he pe rm-
ea t e f l ux and re j ec t i ons o f mu l t i -componen t
l i qu id feeds as a func t ion o f mem bran e p ropert i e s
mean po re s i ze , po ros i t y , t h i ckness , su r face
charge cha rac t e r i s t i c ) and feed p ressu re . A
Freund l i ch equa t ion was used to desc r ibe t he
m e m b r a n e c h a r g e b y m e a n s o f a d s o r p ti o n o f i o n s.
Rece n t ly Band in i and Vezzan i [ 13 7 ] p resen t ed
a genera l mode l ca l l ed t he Donnan s t e r i c po re
m o d e l D S P M ) a n d d i e le c t r ic e x c lu s i o n m o d e l t o
desc r ibe mass t rans fe r o f e l ec t ro ly t es and neu t ra l
so lu t es t h rough NF membranes . In t h i s mode l ,
i on i c pa r t i t i on ing a t t he i n t e r faces be tween the
membrane and the ex t e rna l phases t akes i n to
accoun t t h ree sepa ra t i on mechan i sms: s t e r i c
h ind rance , Donnan equ i l i b r ium and d i e l ec t r i c
exc lus ion . The membrane i s cha rac t e r i zed
th rough the use o f ad jus t ab l e pa ramete rs such as
ave rage po re rad ius , e f fec t i ve membrane th i ck -
ness and vo lum et r i c cha rg e dens i ty . The sepa ra -
t ion effect re la ted to the d ie lect r ic exclusion i s
re l evan t w i th re spec t t o t he Donna n equ i l i b r ium
in de t e rmin ing b iva l en t coun te r - ion re j ec t i on ,
such as CaC12 as w e l l a s M gSO4, w hereas
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d ie l ect r ic e f fec ts a re no t so rema rkab le i n t he case
o f mix tu res con ta in ing va r ious co - ions , such as
NaC1
Na2SO 4.
van de L i sdonk e t a l . [138] p resen t ed a m ode l ,
ca l l ed t he Supersa tu ra t i on P red i c t i on Mode l ,
wh ich i s ab l e o f ca l cu l a t i ng the supersa tu ra ti on
ra t i o s o f spa r ing ly so lub le compounds a t t he
m e m b r a n e s u rf a ce . T h e m o d e l i s a c o m b i n a ti o n o f
a concen t ra t i on po la r i za t ion m ode l and a mo de l
fo r ca l cu l a t i on o f t he supersa tu ra t i on ra t i o o f
spa r ing ly so lub le com pound s , e spec i a l l y ca l c ium
carbona te and ba r ium su lpha t e .
6 . 4 . I n c o r p o r a t i n g c o n c e n t r a t i o n p o l a r i z a t i o n
e f f e c t
Concen t ra t i on po la r i za t i on CP) i s a se r ious
p rob lem tha t has re s t r ic t ed t he use o f membranes .
Bha t t acha r j ee e t a l. [139] deve loped a coup led
m o d e l o f C P a n d p o r e t r a n s p o r t o f m u l t i c o m -
ponen t sa l t m ix tu res i n c ross f low NF . T h i s mode l
p red i c ts l oca l va r i a t i ons o f i on i c concen t ra t i ons ,
f l ux and ind iv idua l i on re j ec t i ons a long a rec -
t angu la r c ross f low f i l t ra t i on channe l fo r t h ree -
comp onen t sa lt m ix tu res by a coup led so lu t ion o f
the convec t ive -d i f fus ion equa tion , wh ic h governs
the t ranspor t o f sa l t i ons i n t he boundary l aye r
ad j acen t t o t he membrane , and the ex t ended
Nerns t -P l anck equa t ion , wh ich governs t he i on
m i g r a t io n t h r o u g h t h e m e m b r a n e p o r e s . T h e t w o
t ra n s p or t m o d e l s a r e c o u p l e d t h r o u g h b o u n d a r y
cond i t i ons a t the me mb rane fe ed -so lu t ion in t e r-
face . The in f luence o f a w ide va r i e ty o f funda-
men ta l phys i co -chem ica l pa ram ete rs and opera t -
i ng cond i t i ons on the i n t r i n s i c and obse rved
re j ec t ion we re p red i c t ed by th is m ode l .
B o w e n a nd M o h a m m a d [ 1 40 ] a n d M o h a m m a d
[141] mod i f i ed t he DSPM mode l t o t ake i n to
accoun t t he CP e f fec t fo r m ix tu re o f cha rged ions /
so lu t es . Wi th t h i s app roach , t he pe rmea te f l ux
was ca l cu l a t ed based on the concen t ra t i on o f i ons /
cha rged so lu tes a t the me mb rane su r face . The CP
effec t was t aken in to accoun t by desc r ib ing the
t ranspor t o f mu l t i -com pone n t i ons and so lu t e i n
the mass t rans fe r f i lm l aye r u s ing the ex t ended
Nemst -P l anck equa t ion . In such a manner , t he
pe rmea te f l uxes were p red i c t ed based on the
o s m o t i c p r e s s u r e d e t e r m i n e d a t t h e m e m b r a n e
in t er face . A com par i son o f t he mode l ca lcu l a t i on
wi th pub l i shed exper im en ta l da t a show s tha t t he
mo de l can p red i c t t he pa t t e rn o f re j ec t ion and f l ux
reduc t ion behav io r qu i t e we l l fo r sys t ems con-
t a in i n g N a C l - d y e - H 2 0 .