CHEMICAL ENGINEERING TRANSACTIONS  
 

VOL. 61, 2017 

A publication of 

 
The Italian Association 

of Chemical Engineering 
Online at www.aidic.it/cet 

Guest Editors: Petar S Varbanov, Rongxin Su, Hon Loong Lam, Xia Liu, Jiří J Klemeš
Copyright © 2017, AIDIC Servizi S.r.l. 
ISBN 978-88-95608-51-8; ISSN 2283-9216 

Experimental Investigation of Nanofiltration Process for the 
Separation of Complex Aqueous Electrolyte Mixtures 

Muhammad Ali Samee*, Michael Harasek, Anton Friedl 
Institute of Chemical, Environmental and Biological Engineering, Technische Universität Wien, Gertreidemarkt 9/166, A - 
1060 Vienna, Austria 
muhammad.ali.samee@tuwien.ac.at 

The era of membrane technology began in 1960s as a viable alternative to the more conventional separation 
techniques (distillation, extraction and evaporation processes) and can carry out separations that are difficult 
by other means. For these reasons membranes are becoming increasingly important in food and dairy 
industries for a variety of desalting, purification, concentration and other separations. Most of the previous 
work done on NF process is at room temperature and low pressures. The novelty of this work lies in the high 
pressure and high temperature applications in connection with our previous work mentioned in the reference 
section. This work focuses on the experimental study of nanofiltration (NF) process for the separation of 
binary, ternary and quaternary aqueous mixtures of different salts at a starting concentration of 0.25 w% of 
each, whether single or in a mixture form. The experiments proved that NF process is capable of separating 
different ions from solution. The evaluation of the data revealed that the rejection of divalent cations and 
anions was greater than 96 % in most of the cases. 

1. Introduction 
The chemical and process industry is governed by environmental legislation to reduce the number of toxic 
solvents, reagents and effluents used in processes to minimize the industrial waste which is potentially 
harmful to the environment. The need to meet more stringent legislation has led to the search for alternative 
for additional separation techniques (Timmer, 2001). The advancement in the research related to development 
and application of membrane separation processes is one of the most significant achievement in chemical, 
environmental and biological process engineering (Lyshevski, 2014). A membrane can be defined as a 
selective barrier that permits the passage of certain species (called permeate) in a fluid. Solute particles are 
(partially) retained depending on the properties like size, shape and charge. The four pressure driven 
membrane processes are microfiltration (MF), ultrafiltration (UF), nanofiltration (NF) and reverse osmosis 
(RO). NF is an intermediate process between RO and UF with pore radius of about 0.5 to 2 nm, molecular 
weight cut off between 200 to 1,000 Dalton and operating pressure between 5 to 40 bar. NF is advantageous 
in different aspects such as it can be operated at low pressure, gives high permeate flux, retention of 
multivalent salts and organic solutes, low investment and operation and maintenance costs. In comparison 
with UF and RO, NF has always been a difficult process to define and to predict (Li et al., 2008). Transport 
mechanisms in nanofiltration membranes are generally described in terms of: convection, diffusion and 
electromigration for electrolyte systems (Szymczyk et al., 2003). In literature, for mathematical modelling 
purposes, the NF membranes are typically characterised by the pore radius, effective membrane charge 
density and effective membrane thickness to porosity ratio (Bowen et al., 1997). 

2. Materials and method 
In this work the separation performance of NF for aqueous solutions of single inorganic electrolytes (NaCl, 
MgCl2.6H2O, Na2SO4 and MgSO4) and different combinations of them to form ternary and quaternary ionic 
systems has been studied experimentally. The experiments were conducted on a lab-scale cross-flow 
membrane unit OS-MC-01 from Osmota with effective membrane area of 0.008 m2. A negatively charged NF 

                               
 
 

 

 
   

                                                  
DOI: 10.3303/CET1761186

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Please cite this article as: Samee M.A., Harasek M., Friedl A., 2017, Experimental investigation of nanofiltration process for the separation of 
complex aqueous electrolyte mixtures, Chemical Engineering Transactions, 61, 1129-1134  DOI:10.3303/CET1761186  

1129



membrane (MPF-34) from Koch Membrane was used. It has a typical operating temperature range of 40 to 
70 °C, a pressure range of 14 to 35 bar and a pH range of 0 to 14. All the experiments were performed in 
recirculation mode. The retentate was made to flow back to the feed tank to see the effect of increasing 
concentration on permeate flux and rejection. The process conditions for all the experiments were 32 bar, 
60 °C, feed flowrate of 2.5 L/min and starting feed concentration of 0.25 w% of each electrolyte whether single 
or in a mixture form. The feed flow rate is high with respect to compact membrane module design resulting in 
crossflow velocities of more than 1.3 m/s. In addition, feed solutions are reasonably dilute, viscosities are low, 
and – as an advantage of this process – operating pressures are moderate to high. Specific fluxes are 
moderate and so the concentration polarization phenomenon is anticipated not to have a very profound effect 
on the separation performance of the NF membrane in most of the cases. The permeate weight was 
measured gravimetrically with an electrical balance in specified intervals to calculate the permeate flux. Pure 
water permeability was tested before and after each experiment at 32 bar, 2.5 L/min and 30 °C. The cleaning 
of the membrane was done accordingly as per manufacturer´s instructions. The flow diagram of the process is 
shown in Figure 1.  

 

Figure 1: Experimental setup  

The concentrations of dissolved solutes in the feed and permeate samples collected during the experiments 
were detectable by conductivity ~ concentration calibration curves for single electrolytes, while the individual 
concentrations of anions and cations for single and mixtures of electrolytes were analysed on Dionex 5000+ 
ion chromatography system. 

3. Results and discussion  
3.1 Separation of binary ion system 

3.1.1 NaCl 

The negatively charged NF membrane attracts the cations and repels the anions. This effect is known as 
Donnan effect. At lower concentration, the rejection of Na+ in NaCl was high (82 %). As the concentration was 
increased, the rejection started to decline (78 %) as shown in Figure 2(a) where the effect of concentration 
polarization is negligible but the rejection of Na+ and Cl- ions of the same concentration of NaCl solution in the 
presence of sucrose (13 to 25 ⁰Bx) has been reported to be decreased to almost zero (Samee et al., 2016) 
due to strong effect of concentration polarization on transport phenomenon. At higher concentration, the effect 
of steric hindrance was also negligible due to shielding of charged solutes (Wang et al., 1995). To keep the 

electroneutrality condition the Cl- ion follows the same rejection behaviour presented in Figure 2(c). It was also 

inferred that at lower concentration, the adsorption of Cl- ions at the membrane surface is negligible and at 
higher concentration, more chloride ions will get adsorbed (Schaep et al., 1999) for negatively charged 

membrane. Cl- ions adsorption is prevalent on the membrane, with respect to sodium adsorption, since anions 
show lower hydration radii than cations (Takagi et al., 1990). 

3.1.2 Na2SO4 

Na+ ions presented a very high rejection (96 to 98 %) in Na2SO4 solution shown by Figure 2(a) with increasing 

trend as concentration of the solution increases followed by SO4
2- shown in Figure 2(d). Since SO4

2- ions cannot 

1130



permeate due to strong electrostatic exclusion so Na+ were rejected accordingly to maintain zero current 
density. 

3.1.3 MgCl2.6H2O 

In MgCl2.6H2O solution, Mg
2+ showed a slightly increase in rejection from 96 to 98 % shown in Figure 2(b) 

upon the increase of concentration. This behaviour has also been observed by other researchers (Bandini et 
al., 2003). As the concentration of MgCl2.6H2O increases, more Mg

2+ will be attracted to the surface and 
shield the membrane and results in positive charge. Charge reversion at the surface can also be expected like 
positive charge density in this case. The interfacial precipitation of the metal hydroxide which occurs at a lower 
pH value than the bulk lead to adsorption phenomenon (Labbez et al., 2003). The adsorption is influenced by 
the charge and dielectric constant. It was also explained that at higher concentration, pore shrinking can be 

expected (Hunter, 1981). Cl- ions followed the same pattern to keep the electroneutrality presented in Figure 
2(c). 

3.1.4 MgSO4 

In MgSO4 solution, since the SO4
2- ions show a strong electrostatic exclusion so the rejection of SO4

2- ions was 
more than 98 % as shown in Figure 2(d). Mg2+ ions followed the same rejection trend to keep zero current 
density condition as presented in Figure 2(b). 

 

Figure 2: Rejection of cations and anions as a function of permeate flux in binary ion system 

3.2 Separation of ternary ion systems 

3.2.1 NaCl+Na2SO4 

In this ternary ionic system the rejection of SO4
2- ions remained in the range of 98 to 99 % owing to its large 

size and strong electrostatic exclusions between divalent SO4
2-  ions and negative membrane charge as 

depicted in Figure 3(d). The retention of Na+ ions was decreased from 89 to 82 % as shown in Figure 3(a) and 

0

10

20

30

40

50

60

70

80

90

100

130 140 150 160 170

N
a+

Io
n 

R
ej

ec
tio

n 
(%

)

Permeate Flux (kg/m2h)
(a)

NaCl

Na₂SO₄

90

91

92

93

94

95

96

97

98

99

100

130 140 150 160 170

M
g2

+ 
Io

n 
R

ej
ec

tio
n 

(%
)

Permeate Flux (kg/m2h)
(b)

MgCl₂.6H₂O
MgSO₄

0

10

20

30

40

50

60

70

80

90

100

130 140 150 160 170

C
l-

Io
n 

R
ej

ec
tio

n 
 (

%
)

Permeate Flux (kg/m2h)
(c)

NaCl

MgCl₂.6H₂O

90

91

92

93

94

95

96

97

98

99

100

130 140 150 160 170

S
O
₄²⁻Ion

 R
ej

ec
tio

n 
(%

)

Permeate Flux (kg/m2h)
(d)

Na₂SO₄
MgSO₄

1131



is strongly dependent on the highly rejected SO4
2-  ions due to the electroneutrality condition. Here the 

concentration polarization has an appreciable effect on rejection mechanism. With increasing feed 
concentration the ionic concentration increases in the polarization layer. Na+ ions contributed to shield the 

membrane charge to offer Cl- ions a reduced electrostatic exclusion from the membrane. Also SO4
2- gave a 

pull to monovalent co-ion (Cl-) to permeate more to keep the electroneutrality condition. So the rejection of 

monovalent co-ion Cl-  decreases more (80 to 59 %), as shown in Figure 3(c) and could show negative 

retention under certain conditions. Negative retention of Cl- ions has been observed by (Bowen et al., 1996) at 
lower molar ratios in the same mixture and also by (Szoke et al., 2002) at certain pH range of feed solution. 
Another study by (Samee et al., 2016) with the same feed concentration of salts as that of this experiment but 

additionally in the presence of sucrose (13 to 25 ⁰Bx) has elucidated the negative rejection of Cl- ions (up to -
46 %) caused by enhanced concentration polarization effect on transport phenomena. Hereby, the driving 
force due to the electroneutrality was higher than the concentration gradient driving force. 

 

 

Figure 3: Rejection of cations and anions as a function of permeate flux in ternary ion system 

3.2.2 NaCl+MgCl2.6H2O 

In this ternary ionic mixture the monovalent counter ion Na+ in the presence of divalent counter ion Mg2+ 

showed the same behaviour as Cl- ion in NaCl+Na2SO4. The rejection of Na
+ ion was minimum amongst all 

the ions due to its lower molar ratio and decreased from 61 to 56 % shown in Figure 3(a). Here the effect of 
concentration polarization is not very profound as the rejections were not decreased appreciably but Na+ ion 
has been reported to show negative retention (up to 21 %) in a mixture of NaCl+MgCl2.6H2O with the same 
feed concentration as used in this experiment in the presence of sucrose (13 to 24 ⁰Bx) due to strong effect of 
concentration polarization as mentioned by (Samee et al., 2016). Although Mg2+ ion has higher stokes radius 

than SO4
2- ion, rejections obtained were lower than SO4

2- ion rejections presented in the previous section. This 

can be attributed to the positive charge of Mg2+ ions and strong electrostatic exclusion between SO4
2- ions and 

0

10

20

30

40

50

60

70

80

90

100

120 130 140 150 160

N
a+

Io
n 

R
ej

ec
tio

n 
(%

)

Permeate Flux (kg/m2h)
(a)

NaCl+MgCl₂.6H₂O
NaCl+Na₂SO₄
Na₂SO₄+MgSO₄

80

82

84

86

88

90

92

94

96

98

100

120 130 140 150 160

M
g2

+ 
Io

n 
R

ej
ec

tio
n 

(%
)

Permeate Flux (kg/m2h)
(b)

NaCl+MgCl₂.6H₂O
MgCl₂.6H₂O+MgSO₄
Na₂SO₄+MgSO₄

0

10

20

30

40

50

60

70

80

90

100

120 130 140 150 160

C
l-

Io
n 

R
ej

ec
tio

n 
 (

%
)

Permeate Flux (kg/m2h)
(c)

NaCl+MgCl₂.6H₂O
NaCl+Na₂SO₄
MgCl₂.6H₂O+MgSO₄

90

91

92

93

94

95

96

97

98

99

100

120 130 140 150 160

S
O
₄²⁻Ion

 R
ej

ec
tio

n 
(%

)

Permeate Flux (kg/m2h)
(d)

NaCl+Na₂SO₄
MgCl₂.6H₂O+MgSO₄
Na₂SO₄+MgSO₄

1132



membrane. The rejection of Mg2+ and Cl- were 90 to 93 % and 74 to 75 % as shown in Figure 3(b) and 3(c) 
respectively. 

3.2.3 Na2SO4+MgSO4 

In this mixture, high rejections of all the ions were observed. In contrast to Mg2+ ion possessing larger stokes 
radius, Na+ ion with relatively smaller stokes radius will permeate through the membrane. Nevertheless due to 

electroneutrality condition SO4
2- ions should pass through the membrane as well, which was mostly hindered 

by electrostatic exclusion and due to relatively large size of this ion. Consequently, the Na+ permeation was 
hindered as well to represent a high rejection greater than 95 % as shown in Figure 3(a). The rejections of 

Mg2+ ions and SO4
2- ions were greater than 98 % and 97 % as shown in Figure 3(b) and 3(d) respectively. 

3.2.4 MgCl2.6H2O+MgSO4 

In this ternary ionic mixture the high rejections of the ions were observed which were greater than 95 % for Cl
- 

ions as shown in Figure 3(c) and 98 % for and Mg2+ and SO4
2-  ions as shown in Figure 3(b) and 3(d) 

respectively. 

3.3 Separation of quaternary ion systems 

3.3.1 NaCl+MgSO4 

In this quaternary ion system Na+ ions permeated (52 to 71 %) with Cl- ions (70 to 72 %) as shown in Figure 

4(a) and 4(c), whilst Mg2+ ions were rejected with SO4
2- ions at higher values greater than 96 % as shown in 

Figure 4(b) and 4(d) respectively. In addition, it is observed that divalent Mg2+ ion worsens the permeation of 

Cl- ion in comparison to the ternary NaCl+Na2SO4 system where the rejection decreased from 80 to 59 %. It is 
difficult to attain a high performance separation in such systems. Nevertheless, it is possible to partly separate 
NaCl from MgSO4 at relatively high concentrations. 

 

 

Figure 4: Rejection of cations and anions as a function of permeate flux in quaternary ion system 

0

10

20

30

40

50

60

70

80

90

100

115 125 135 145 155 165

N
a+

Io
n 

R
ej

ec
tio

n 
(%

)

Permeate Flux (kg/m2h)
(a)

MgCl₂.6H₂O+Na₂SO₄
NaCl+MgSO₄

90

91

92

93

94

95

96

97

98

99

100

115 125 135 145 155 165

M
g2

+
Io

n 
R

ej
ec

tio
n 

(%
)

Permeate Flux (kg/m2h)
(b)

MgCl₂.6H₂O+Na₂SO₄
NaCl+MgSO₄

0

10

20

30

40

50

60

70

80

90

100

115 125 135 145 155 165

C
l-

on
 R

ej
ec

tio
n 

(%
)

Permeate Flux (kg/m2h)
(c)

MgCl₂.6H₂O+Na₂SO₄
NaCl+MgSO₄

90

91

92

93

94

95

96

97

98

99

100

115 125 135 145 155 165

S
O
₄²⁻Ion

 R
ej

ec
tio

n 
(%

)

Permeate Flux (kg/m2h)
(d)

MgCl₂.6H₂O+Na₂SO₄
NaCl+MgSO₄

1133



3.3.2 MgCl2.6H2O+Na2SO4 

It was observed that in this quaternary ionic system the divalent ions were better rejected than monovalent 

ions. The rejections of Mg2+ ion and SO4
2-  ion were greater than 98 % as shown in Figure 4(b) and 4(d) 

respectively. Cl- ion permeated with Na+ ion to keep the electroneutrality condition as elucidated in Figure 4(a) 
and 4(c) with rejections in the range of 76 to 82 % without any considerable effect of concentration 
polarization. 

4. Conclusions 

SO4
2- as a divalent co-ion, showed strong electrostatic exclusion from membrane and resulting in a very high 

rejection. In addition, due to the zero current density at steady state, counter-ions Mg2+ was rejected as well. 

Monovalent ions Na+ and Cl- showed less rejection than divalent ions and could show negative rejection under 
certain conditions. Monovalent ions were permeated together to keep the electroneutrality condition. 
Concentration polarization may have significant effects on rejection phenomenon especially in case of 
concentrated solutions. In summary, the experimental study of NF separation performance for complex 
electrolyte mixtures is beneficial in lieu of process prediction, effective development and optimisation. 

Acknowledgments 

The authors cordially acknowledge the financial support provided by Higher Education Commission of 
Pakistan and technical support provided by Technische Universität Wien, Austria, for the completion of this 
project. 

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