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Investigating the mechanism of nanofiltration separation of glucosamine hydrochloride and N-acetyl glucosamine



Glucosamine hydrochloride (GAH) and N-acetyl glucosamine (NAG) are chitin derivatives. Owing to their excellent biological activity, they have long been used as pharmaceuticals and nutraceuticals. However, both of them exist simultaneously in chitin hydrolyzate or fermentation production. The aim of this study is to identify the feasibility of separating GAH and NAG by nanofiltration on the basis of appropriate adjustments of physical conditions.


One commercial spiral nanofiltration membrane (QY-5-NF-1812) was used. Experiments were carried out in full recycle mode and the membrane separation performance was investigated at various mass ratios (mass ratios of GAH to NAG were from 1:14 to 1:2), pressures (4–22 bar), temperatures (15–35 °C), and electrolytes (NaCl, MgSO4, and MgCl2). The influence of temperature on molecular characteristics that play an important role in the separation process was also studied.


Owing to the steric-hindrance effect, electrostatic effect, and different solute permeability, the GAH separation factor increased with increasing GAH concentration. Furthermore, upon temperature increasing, the permeability difference between GAH and NAG decreased, thus decreasing the GAH separation factor. Simultaneously, with increasing temperature, the polarities and calculated molecular diameters for both GAH and NAG increased evidently. The calculated reflection coefficients for both GAH and NAG can be well fitted by the steric-hindrance pore (SHP) model, suggesting that steric-hindrance effect played an important role on the separation process. Furthermore, owing to Donnan repulsion and solute diffusion effects, three electrolytes had noticeable effects on nanofiltration separation efficiency.


The nanofiltration separation efficiency of GAH and NAG was significantly affected by their physical properties in this system, and the mechanisms for GAH and NAG separation were elucidated. The current study could provide a certain basis for the nanofiltration separation of GAH and NAG on an industrial scale.


As chitin derivatives, glucosamine hydrochloride (GAH) and N-acetyl glucosamine (NAG) are widespread (Chen et al. 2012). Given that GAH and NAG have significant biological activity and can be used as ligands in coordination chemistry (Tao et al. 2014), both of them have long been used as pharmaceuticals and nutraceuticals to treat osteoarthritis and maintain cartilage and joint health (Zhu et al. 2015). GAH is usually produced by the HCl hydrolysis of chitin or fermentation (Zhu et al. 2005a; Chen et al. 2012) and is acidic in aqueous solutions. NAG can be prepared by GAH acetylization or glucose fermentation (Chen et al. 2012; Zhu et al. 2015) and is neutral in aqueous solutions. Both of them exist simultaneously in chitin hydrolyzate or in fermentation production (Deng et al. 2005; Chen et al. 2012). However, since both of them have similar molecular weights (GAH with molecular weight of 215.5 g/mol and NAG with molecular weight of 221.0 g/mol) and physical properties, it is difficult to separate them from their mixture solutions. Although some monosaccharides can be separated by chromatography (Brereton and Green 2012), the cost of this technique is relatively higher with poor selectivity of an appropriate stationary. Most columns face a number of problems such as column stability, lifetime, and separation reproducibility (Ghfar et al. 2015). Nanofiltration (NF) technology is a good approach for separation due to their advantages, including lower energy consumption, sustainable processing and relatively easy scale-up over other filtration procedures (Kolfschoten et al. 2011; Aroon et al. 2010).

Currently, NF membranes have been applied to many aspects, including the separation of multi-component solution in soybean molasses (Zhao et al. 2013), recycling of phosphoric acid from sewage sludge (Niewersch et al. 2010), recycling wastewater in the dairy industry (Chen et al. 2016), dye removal from aqueous and organic solutions (Kebria et al. 2015), and removal of fermentation inhibitors from wood extracts (Xie and Liu 2015). NF membranes have received increasing attention because of saccharides separation (Dong et al. 2014; Moreno-Vilet et al. 2014).

On the basis of previous research, NF performance can be affected by many factors during separation. Qin et al. (2014) reported that the increase of salt concentrations resulted in rejections for both salt and trisulfonic acid decrease. Sharma et al. (2003) indicated that with increasing temperature, pure water permeability increased because of the increase in polymeric membrane pore size and cutoff size (Desal-5 DL). Wang et al. (2002) demonstrated that the negatively charged membrane showed different rejections for different types of electrolytes with the order of R(MgSO4) > R(K2SO4) > R(MgCl2) > R(KCl) > R(NaCl) as a result of the Donnan and steric-hindrance effects. Sjoman et al. (2007) indicated that different mass ratios significantly influenced the rejections for both xylose and glucose through the steric-hindrance effect. Furthermore, saccharides, such as pectate oligosaccharides (which are acidic in aqueous solutions), carry an electric charge that affect their separation by NF membranes (Iwasaki and Matsubara 2000).

However, the possibilities of NF separations for monosaccharides with similar molecular weights have seldom been studied, and the transport mechanisms for monosaccharides are not fully understood. From the traditional point of view, membrane filtration would require a tenfold difference in molar mass or threefold difference in hydrodynamic radius for separation of components from each other (Sjoman et al. 2007). Simultaneously, many mathematical models have been proposed to describe and predict the process of NF. Generally, the filtration mechanisms involve mainly steric hindrance (Bowen et al. 1997), Donnan exclusion (Schaep et al. 2001), and dielectric exclusion effects (Yaroshchuk 2001). Nevertheless, the NF separation mechanisms for mixed monosaccharides with similar molecular weights were seldom studied and many of them focused on the study of neutral monosaccharides, such as xylose and glucose (Sjoman et al. 2007). Different from neutral monosaccharides, GAH is one kind of the cationic monosaccharides and the molecular weights of GAH and NAG are similar.

Thus, the aim of this study is to identify the feasibility of separating GAH and NAG using NF by regulating and controlling physical conditions, including different mass ratios, pressures, temperatures, and three types of electrolytes. Thereafter, the separation performance is evaluated by a series of models to lay the foundation for large-scale industrial utilization of monosaccharide purification with the same or similar molecular weights. Furthermore, varying molecular characteristics such as the changing molecular diameters and polarities caused by temperature are also investigated to obtain an insight into the processing of glucosamine fractions separation.


A series of models used for describing the membrane separation performance and molecular characteristics are explored as follows:

Concentration polarization model

Generally, the solute rejection performance is estimated by the observed rejection:

$$R_{\text{o}} = 1 - \frac{{C_{\text{p}} }}{{C_{\text{b}} }}$$

where C p and C b are the solute concentrations in the permeate and bulk feed, respectively. However, given the effect of concentration polarization, which decreases driving force, the solute concentration C m on the membrane surface is higher than that in the bulk solution because of the reversible accumulation of the rejected solute when the permeate flux is large. Therefore, the real rejection R is defined as follows to represent the rejection ability of membranes:

$$R = 1 - \frac{{C_{\text{p}} }}{{C_{\text{m}} }}$$

The relation between the observed retention and the real retention can then be obtained (Wang and Chung 2005):

$$\ln \left(\frac{{1 - R_{\text{o}} }}{{R_{\text{o}} }}\right) = \ln \left(\frac{1 - R}{R}\right) + \frac{{J_{\text{v}} }}{k}$$

Equation (3) can be used with an appropriate mass transport model for the membrane to determine the membrane parameters and mass transfer coefficient k.

Irreversible thermodynamic model

Kedem and Katchalsky (1958) proposed the following transport equations to describe the permeating process via the membrane on the basis of non-equilibrium thermodynamics: the permeate flux J v is expressed as follows:

$$J{\text{v}} = L_{\text{p}} (\Delta P - \Delta \pi )$$

where L p is the pure water permeability of the membrane, ΔP is called the trans-membrane pressure, and Δπ is the osmotic pressure difference across the membrane.

According to the Hagen–Poiseulle (HP) equation, Eq. (4) can be defined as follows (Bowen et al. 1997):

$$\frac{{J_{\text{v}} }}{(\Delta P - \Delta \pi )} = \frac{{r_{\text{p}}^{2} }}{{8\mu ({{\Delta x} \mathord{\left/ {\vphantom {{\Delta x} {A_{\text{k}} }}} \right. \kern-0pt} {A_{\text{k}} }})}}$$

where Δx/A k, r p, and μ are the ratio of the effective membrane thickness to membrane porosity, the mean pore radius of the membrane, and the solute viscosity, respectively. Thus, the membrane structural changes including Δx/A k and r p can be determined by experimental data.

An irreversible thermodynamic Spiegler–Kedem model (Spiegler and Kedem 1966) was applied to explain the separation performance of no electrostatic interaction between membrane and solute. This case occurs when the membrane is uncharged or the solute is neutral. This model has been extended (Koter 2006; Mehiguene et al. 1999) to describe the retention of electrolyte with a charged NF membrane. The working equations of the nonlinear Spiegler–Kedem model are as follows:

$$R = 1 - \frac{{C_{\text{p}} }}{{C_{\text{m}} }} = \frac{\sigma (1 - F)}{1 - \sigma F}$$


$$F = \exp ( - \left( {\left( {1 - \sigma } \right)/P_{\text{s}} } \right)J_{\text{v}} )$$

where the reflection coefficient σ represents the separation capability of a membrane, and P s is the solute permeability.

According to Murthy and Chaudhari (2009), the substitution of Eq. (6) into Eq. (3) results in the following equation:

$$\frac{{1 - R_{\text{o}} }}{{R_{\text{o}} }} = \frac{1 - \sigma }{\sigma }\frac{{\exp\left (\frac{{J_{\text{v}} }}{k}\right)}}{{1 - \exp \left( - \frac{{(1 - \sigma )J_{\text{v}} }}{{P_{\text{s}} }}\right)}}$$

Using a nonlinear parameter estimation method and the data of R o vs. J v taken at different pressures but at constant feed rates and feed concentrations for each set, some parameters that represent membrane separation performance such as σ, P s, and k can be estimated simultaneously.

Calculation of the molecular diameter

However, the irreversible thermodynamic model is just related to the changes in the membrane structure and it is not related to the changes in the molecular structure. To observe the variation of molecular size with temperature change, the molecular diameter and energetic optimization procedure is conducted via an iterative procedure using the computer program HyperChem (Van der Bruggen et al. 1999). The molecular energy is also minimized by adjusting the configuration of the molecules. In this way, a complete view of the molecular structure and shape can be obtained. The smallest cuboid [including the smallest length (a), width (b), and height (c)] around the molecule is then determined (Fig. 1A, B). The minimum cross-sectional diameter d c is then calculated as follows:

$$d_{\text{c}} = (b^{2} + c^{2} )^{0.5}$$
Fig. 1
figure 1

Optimized molecular geometric models. A glucosamine hydrochloride, B N-acetyl glucosamine [a the smallest length, b the smallest width, c the smallest height]

The research in this study found that the pressure, feed concentration and ion strength hardly have influence on the calculated molecular diameter but the temperature has some influence on the calculated molecular diameter.

Simultaneously, molecular polarity can be obtained from HyperChem.

Steric-hindrance pore model

To verify the simulation correctness by the HyperChem, the steric-hindrance pore model in this study is introduced. Nakao and Kimura (1982) proposed the steric-hindrance pore (SHP) model by modifying the pore model as follows:

$$\sigma = 1 - (1 + \frac{16}{9}\lambda^{2} )(1 - \lambda )^{2} [2 - (1 - \lambda )^{2} ]$$


$$\lambda = \frac{{r_{\text{s}} }}{{r_{\text{p}} }}$$

In Eq. (10), r s represents the solute radius and r p represents the mean pore radius of the membrane. Here, r s can be substituted by d c/2. Therefore, σ can also be calculated using the molecular diameter and the membrane pore radius. By observing the relationship between the reflection coefficient obtained from the irreversible thermodynamic model and that obtained from the steric-hindrance pore model, the simulation correctness can be verified.


Nanofiltration membrane

The commercial spiral wound NF membrane QY-5-NF-1812 was supplied by AMFOR Inc., Newport Beach, United States. A 1812 type module has a 1.8 inch (4.6 cm) cross-section diameter and 12 inch (30.5 cm) length. The selective layer of the composite membrane was made of polyamide polymers that are negatively charged on the surface. The maximum temperature tolerance was 45 °C, and a pH of 4–12 was allowed. Furthermore, the molecular weight cutoffs (MWCO) of the membrane was measured by polyethylene glycols. According to the definition of MWCO, the approximate MWCO of the membrane was 500 Da. Further information about the NF membrane is listed in Table 1. Given the larger MWCO compared with the MWCO of 200, rejections for salts were lower and retentions for monovalent salts were lower than those for divalent salts.

Table 1 Membrane information

Chemicals and reagents

GAH and NAG were of analytical grade and purchased from Shandong Aokang Biotechnology Co. Ltd. (Shandong, China) and Zhejiang Aoxing Biotechnology Co. Ltd. (Zhejiang, China), respectively. Several analytical grade salts, namely, MgSO4, Na2SO4, NaCl, MgCl2, CaCl2, NaOH, and EDTA (ethylene diamine tetraacetic acid), were supplied by Lingfeng Chemical Reagent Co. Ltd. (Shanghai, China). The deionized water (conductivity ≤10 μS cm−1) used for experiments and cleaning was supplied by Shanghai Huazhen Co. Ltd. (Shanghai, China).

Permeation experiments

Figure 2 illustrates the schematic of the setup for the NF experiment. The membrane was initially flushed with deionized water for 30 min to remove possible contaminants. In the experiments of NF, the total concentration of the feed was maintained at 7.5 wt%, and 2.0 L syrup was added into the feed bank. The permeate experiments were conducted under the conditions of the applied pressures of 4–22 bar, and the pressure increased at a gradient of 3 bar. On the above cases, serial conditions were operated while only one factor was changed each time. The mass ratios of GAH to NAG in the solutions were 1:2 (solution pH was 4.18 that was close to pH tolerance of the membrane) and 1:4/1:14, respectively. The temperatures varied from 15 to 35 °C, and the temperature in the gradient increased to 5 °C. Subsequently, NaCl, MgCl2, or MgSO4 was added into the syrup. The concentrations of the salts were 0.08 mol/L. The feed flow rate was maintained at 5.4 L/min. All penetrates and all retentates were recycled in the feed tank to make the feed concentration constant. After each experiment, the equipment was cleaned by 0.3 g/L NaOH and 0.4 g/L EDTA.

Fig. 2
figure 2

Schematic representation of the nanofiltration unit

Analysis methods

The conductivity was measured by an electric conductivity meter (Shanghai Jingke, DDS-307, China), and the viscosity was measured by Ubbelohde Viscometer. The solution pH was measured by the FE20 pH meter (Mettler Toledo, Shanghai, China). The GAH and NAG contents of the samples were analyzed by the HPLC method (Agilent 1200, Agilent, USA) equipped with a high-performance sugar column (Sugarpak-I column, Waters, USA) and an RI detector.

The GAH separation factor S GAH is a measure of GAH purification from NAG. This factor indicates the change in the permeate composition compared with the original ratio of GAH to NAG in the feed. The separation can be achieved if the separation factor differs from unity. A value higher than one indicates a GAH enrichment in the permeate and higher separation factor means better separation performance. Sjoman et al. (2007) showed that during the xylose and glucose separation process by NF, because of their difference in molecular weights, the xylose separation factor could increase from 1.2 to 2.3 by changing physical conditions. The GAH separation factor is defined as follows:

$$S_{\text{GAH}} = \frac{{C_{\text{p, GAH}} /C_{\text{p, NAG}} }}{{C_{\text{b, GAH}} /C_{\text{b, NAG}} }} = \frac{{1 - R_{\text{GAH}} }}{{1 - R_{\text{NAG}} }}$$

where C p,GAH, C p,NAG are the concentrations of GAH and NAG in permeate, and C b,GAH, C b,NAG are the concentrations of GAH and NAG in bulk feed, respectively.

Results and discussion

Influence of different mass ratios on separation performance

Influence of different mass ratios on feed volume flux

Figure 3 displays that for every mass ratio, the volume flux as a function of the applied pressure can be plotted as a nearly linear line with a wide range of mass ratios. This result is in accordance with the Speigler–Kedem model. As shown in Eq. (4), the flux is approximately proportional to the trans-membrane pressure. However, the slope deviation from linearity occurs at the higher pressures, particularly in the case of GAH:NAG with 1:14 because of the concentration polarization exacerbated owing to NAG accumulation at the membrane surface by the driving pressure. Feed flux increases with increasing GAH:NAG ratio. This observation is influenced by the effective membrane thickness (Bargeman et al. 2014). Given that the electric double layer is compressed with higher salt concentrations, the effective membrane thickness becomes thinner (Table 2). Table 2 also shows that the osmotic pressure difference varied insignificantly. However, the pore radius decreases from 0.632 to 0.615 nm with increasing GAH:NAG ratio. This phenomenon is caused by the skin shrinkage (Freger et al. 2000) owing to the placement of GAH in an aqueous solution. This result is in agreement with that of Qin et al. (2014).

Fig. 3
figure 3

Effect of different pressures and mass ratios on volume flux. It was operated under the condition of total mass of 7.5 wt% and the temperature of 25 °C

Table 2 Estimated pore radius (r p ), osmotic pressure difference (Δπ) and effective thickness (Δx/A k )

Rejection difference between single solution and mixed solution

To have a full study on the separation performance for glucosamine derivatives and achieve good separation results, the rejection difference between a single solution (only one solute comprising: GAH or NAG) and mixed solution (containing two solutes: GAH and NAG) is observed. As shown in Fig. 4a, compared with single solution, at the same solute concentration and pressure, the rejections of GAH decrease in the mixed solution. The results are mainly affected by the addition of NAG. The addition of the NAG solution into the GAH solution leads to the increase of solution viscosity. For example, the viscosity of single GAH solution with the concentration of 2.5 wt% is 0.91 mPa s and increases to 1.01 mPa s in a mixed solution at the same GAH concentration. The solute concentration on the membrane is thicker than the one in the feed that aggravates the concentration polarization. Thereby, the solute concentration accelerates GAH diffusion from the concentration side to the penetration side. Hence, GAH rejections decrease in the mixed solution compared with a single solution. Simultaneously, the rejection of a single GAH solution with increasing pressure tends to decrease. With increasing pressure, large amounts of RNH3 + (here R represents C6H11O5) accumulate on the negatively charged membrane surface. This phenomenon reduces the effective charge density of the NF membrane, thus decreasing the repulsive force for Cl. According to the Donnan effect, more positive ions permeate the membrane. Hence, the dropping trend of the observed GAH rejection occurs at a high pressure range.

Fig. 4
figure 4

The rejection difference between single solution and mixed solution. a The difference for GAH rejections, b the difference for NAG rejections (temperature of 25 °C, operating pressure of 4–22 bar)

Figure 4b illustrates that compared with single solution, the NAG rejection in the mixed solution decreases; this result is consistent with that of Luo and Wan (2011). One reason is a partial dehydration of solute because the “salting-out” effect (also called the Hofmeister effect [Kunz et al. 2004)] causes a decrease of solute hydrodynamic radius, thus inducing a decrease in solute retention. Another reason is that, at a higher GAH concentration, the membrane becomes more compacted than that with a lower GAH concentration (Bargeman et al. 2014). Correspondingly, the double electric layer becomes compressed, leading to the thinner double electric layer and the increase of the channel in the membrane pore. Therefore, NAG rejection decreases in the mixed solution.

Influence of different mass ratios on GAH separation factor

According to Eq. (12), the GAH separation factor can be obtained. The results indicate that different mass ratios have an important effect on the separation of GAH and NAG. Figure 5a shows that the GAH separation factors at higher GAH concentrations are larger than those at lower GAH concentrations. The maximum GAH separation factor is up to 1.23 at the mass ratio of 1:2 and pressure of 10 bar. Different from mass ratios, the separation of the two monosaccharides depends weakly on trans-membrane pressures. At every proportion, the separation factor changes slightly even at a relatively stable value when the pressure increases from 4 to 22 bar. Compared to Fig. 5a,  b exhibits the retention difference values between GAH and NAG. Remarkably, at the mass ratio of 1:2, the retention difference value between GAH and NAG is the biggest, and the maximum value is up to 14.3 % at the pressure of 10 bar.

Fig. 5
figure 5

Effects of different pressures and mass ratios on a GAH separation factor, b difference value between observed GAH and NAG retentions, c solute permeability of GAH and NAG. The experiments were operated under the condition of total mass of 7.5 wt% and the temperature of 25 °C

The above results can be attributed to the following explanations: both the MWCO and molecular diameter [obtained from Eq. (9)] of GAH are smaller than NAG (at 25 °C, the molecular diameters for GAH and NAG are 0.61 and 0.67 nm, respectively). Therefore, the GAH rejection is smaller than NAG rejection because of the steric-hindrance effect (Sjoman et al. 2007). Furthermore, the positive charge of GAH can interact with the negative charge at the membrane surface because of electrostatic attraction, which reduces the electric quantity on membrane surface and diminishes the dielectric effect of the membrane (Qin et al. 2014). This result promotes that GAH penetrates the membrane. Different from GAH, neutral NAG cannot interact with the membrane, under the effect of steric hindrance, so GAH is less rejected than NAG. Furthermore, the permeability [obtained from Eq. (8)] of GAH and NAG is apparently different. As shown in Fig. 5c, GAH permeability is larger than NAG permeability at every mass ratio, and the permeability difference value is larger at higher GAH concentrations. Therefore, given the influence of permeability, MWCO, molecular diameter, and electrostatic effect, the rejection of GAH is less than NAG rejection, and the separation performance presents different results with different mass ratios. On the basis of the above results, the mass ratio of 1:2 (GAH:NAG) has been chosen in the next experiments.

Influence of different temperatures on separation performance

Influence of different temperatures on rejections for GAH and NAG and feed volume flux

Figure 6a, b shows that both GAH and NAG rejections decrease with increasing temperature. This phenomenon can be concluded by the following reasons. Firstly, the solution viscosity is an important factor (Bui and Nguyen 2004). Figure 7a shows that feed viscosity decreases from 1.17 to 0.88 mPa s when the temperature increases from 15–35 °C. According to Zhu et al. (2005b), the reducing viscosity leads to the increasing diffusibility of the solute to cause the mass transfer coefficient increase. Secondly, the variations of the membrane structural property, such as pore radius with increasing temperature, can account well for the temperature dependence (Ben Amar et al. 2009). With increasing temperature, the membrane pore radius increases from 0.52 to 0.66 nm (Fig. 7b), also benefiting the solute diffusion. Simultaneously, by considering the changing feed viscosity and pore radius caused by temperature, all solutes in the process preferred to move to the bulk part of the syrups, thus reducing the rate of concentration polarization and improving the membrane flux (Fig. 6c). Furthermore, the solute dipole moment is significantly influenced by increasing temperature (Fig. 8a). According to Van der Bruggen et al. (1999), the side of the dipole with the opposite charge is close to the membrane. The dipole is directed towards the pore and enters easily into the membrane structure. Given that the entry in the membrane structure is facilitated, higher dipole moment leads to lower retention.

Fig. 6
figure 6

Effects of different pressures and temperatures on a GAH rejection, b NAG rejection, c volume flux. The experiments were measured under the condition of mass ratio of GAH:NAG = 1:2 (total mass of 7.5 wt%)

Fig. 7
figure 7

Effects of different temperatures on a solution viscosity, b membrane pore radius. The experiments were measured under the condition of mass ratio of GAH:NAG = 1:2 (total mass of 7.5 wt%)

Fig. 8
figure 8

Effects of different temperatures on a molecular polarities, b calculated molecular diameters of GAH and NAG

Influence of different temperatures on molecular characteristics

The temperature influences not only the NF membrane but also the molecular characteristics (Jian et al. 2015; Paul and Paul 2015; Xing et al. 2013). Therefore, temperature plays an important part in the NF process. Figure 8a, b illustrates the effects of temperature on the molecular polarities and calculated diameters. Figure 8a shows that the GAH dipole moment increases from 3.54 to 3.74 Debye with increasing temperature from 15–35 °C. Compared with GAH, the dipole moment of NAG increases rapidly and the maximum dipole moment is up to 5.94 Debye when the temperature reaches 35 °C. The results provide a good explanation on why both GAH and NAG retentions decrease with increasing operating temperatures (Fig. 6a, b).

Furthermore, the temperature changes calculated molecular diameters as well. For example, Fig. 8b illustrates that when the temperature increases from 15 to 35 °C, the calculated molecular diameters for GAH and NAG increase from 0.61 to 0.62 nm and from 0.66 to 0.68 nm, respectively. The calculated molecular diameter and increasing temperature showed good exponential relationship. To verify the simulation correctness, according to Eqs. (8) and (10), the relationship between the reflection coefficient obtained from fitting and that obtained from calculation can be estimated. As given in Fig. 9, a significant linear relationship exists between them. This result indicates that the calculated molecular diameter is appropriate to describe the solute retention with temperature variation. Figure 9 also implies that the steric-hindrance effect plays an important role in this separation process.

Fig. 9
figure 9

The relationship between reflection coefficient by fitting and that by calculation for GAH and NAG

Influence of different temperatures on the GAH separation factor

Similarly, the effects of temperature on the GAH separation factor can be obtained from Eq. (12). Figure 10a illustrates that the GAH separation factors vary slightly with increasing operating pressure, whereas temperature plays a significant role. Higher temperature reduces the GAH and NAG separation performance of the NF membrane. Figure 10b shows that with increasing operating temperature, both GAH and NAG reflection coefficients obtained from Eq. (8) decrease rapidly and their difference value decreases gradually. Given that the reflection coefficient stands for the ultimate rejection of the solute, Fig. 10b explains Fig. 10a suitably as discussed above.

Fig. 10
figure 10

Effects of different pressures and temperatures on a GAH separation factor, b reflection coefficients of GAH and NAG, c solute permeability of GAH and NAG. The condition of mass ratio of GAH:NAG was 1:2 (total mass of 7.5 wt%)

Figure 10c shows that temperature influences both GAH and NAG solute permeability significantly. Compared with the solute reflection coefficient, solute permeability, which also represents the retention performance of membrane for GAH and NAG, shows rising tendency with increasing temperature. For GAH, the solute permeability increases rapidly from 15–20 °C and then increases slowly when temperature increases from 20–30 °C. Solute permeability of NAG increases slowly from 15 to 30 °C and then increases rapidly when temperature increases from 30 to 35 °C. Therefore, the permeability difference value between GAH and NAG decreases with increasing temperature. That is why the GAH separation factor decreases with increasing temperature. This result indicates that high temperatures have an adverse effect on the separation for the two mixed solutions.

Influence of different electrolytes on separation performance

Influence of different electrolytes on rejections for GAH and NAG

Figure 11a indicates that different electrolytes significantly affect GAH and NAG retentions. GAH rejection with MgSO4 is higher than those with the other two electrolytes because of the electrostatic repulsion and Donnan equilibrium effects (Luo and Wan 2013). Given that the skin layer of the NF membrane is full of negative charges, the electrostatic repulsion effect becomes stronger caused by SO4 2− in MgSO4. According to the Donnan equilibrium, a counter-ion, which is opposite to the charge on the membrane, is more rejected by the NF membrane to maintain a neutral solution. Furthermore, the electrostatic repulsion effect of divalent ion is stronger than the monovalent ion. Therefore, GAH rejection with MgSO4 is higher than that with NaCl and MgCl2. According to Luo et al. (2013), as an asymmetry salt, Mg2+ in the solution with MgCl2 weakens the charge effect between the membrane and solute. Hence, GAH rejection with MgCl2 is lower than NaCl.

Fig. 11
figure 11

Effects of different pressures and electrolytes on a GAH rejection, b NAG rejection. The results were measured under the condition of mass ratio of GAH:NAG = 1:2 (total mass of 7.5 wt%), temperature of 25 °C

Figure 11b illustrates the NAG rejections with NaCl, MgCl2, and MgSO4. Figure 11b also shows that different results are obtained with different salts. One explanation for the experimentally determined retention sequence can be found by comparing the diffusion coefficients of the different salts (Schaep et al. 1998) (given in Table 3). Given that the diffusion coefficient for NaCl is higher than for MgSO4, which promotes the diffusion of NAG, the rejection of NAG with the NaCl solution is lower. Similarly, the diffusion coefficient for MgSO4 is smaller than MgCl2 and is not good for NAG diffusion. Therefore, the retention of NAG with MgSO4 is higher than that with MgCl2. According to Schaep (Schaep et al. 1998), for the negatively charged membrane, the MgCl2 permeates better than NaCl because of Donnan exclusion. To some extent, this result is more beneficial to promote NAG diffusion with MgCl2 addition even though the diffusion coefficient of NaCl is more than that of MgCl2. Hence, NAG rejection with MgCl2 is lower than that with NaCl. The NAG permeability (given in Table 3) influenced by three electrolytes is consistent with the above interpretations. The permeability of NAG with MgCl2 is larger than that with NaCl or MgSO4; therefore, NAG rejection is the lowest with MgCl2 and is the highest with MgSO4. Hence, the retention sequence of NAG is influenced by electrolytes, and the solute diffusion seems to be an important transport mechanism.

Table 3 Diffusion coefficients of three electrolytes at 25 °C (Schaep et al. 1998) and permeability of NAG influenced by three electrolytes

Influence of different electrolytes on GAH separation factor

Figure 12a, b shows that the GAH separation factor is close to one and that the rejection difference value is nearly zero with MgSO4, probably because GAH rejection is almost equal to NAG rejection. Simultaneously, NaCl makes the GAH separation factor bigger than the other two salts. Therefore, the GAH separation factor and the retention difference between GAH and NAG are significantly influenced by different electrolytes.

Fig. 12
figure 12

Effects of different pressures and electrolytes on a GAH separation factor, b difference between observed GAH and NAG retention. The results were measured under the condition of mass ratio of GAH:NAG = 1:2 (total mass of 7.5 wt%), temperature of 25 °C


NF membrane separation performance was significantly affected by physical conditions in this system. When the mass ratio of GAH:NAG was 1:2, the maximum membrane flux was up to 42.3 L m−2 h−1. Under this condition, the permeability difference obtained from the irreversible thermodynamic model was the largest. Therefore, the GAH separation factor under this condition was up to 1.22. When the temperature was 35 °C, the permeability of GAH and NAG was 9.6 and 8.7 L m−2 h−1, respectively, and the permeability difference was the minimum. Therefore, lower operation was not good for GAH and NAG separation. Simultaneously, the calculated molecular diameter and increasing temperature showed good exponential relationship, providing supplement for the separation process. After adding salts, by the analysis using the irreversible thermodynamic model, electrostatic repulsion was the essential influencing factor for GAH rejection, and solute diffusion was an important transport mechanism for NAG rejection. With NaCl addition, the GAH separation factor was up to 1.13. The explored mechanisms could be used to understand the process of NF separation for monosaccharides with similar molecular weights and provide a certain basis for large-scale separation of chitin derivatives in the future.





glucosamine hydrochloride


N-acetyl glucosamine


molecular weight cut-offs


C p :

solute concentrations in the permeate (g L−1)

C b :

solute concentrations in the bulk feed (g L−1)

C m :

solute concentration on the membrane surface (g L−1)

d c :

calculated molecular diameter (nm)

J v :

permeat volume flux (L m−2 h−1)

L p :

pure water permeability (L m−2 h−1 bar−1)

k :

mass transfer coefficient (L m−2 h−1)

ΔP :

transmembrane pressure (bar)

P s :

solute permeability (L m−2 h−1)

r p :

mean pore radius (nm)

r s :

solute radius (nm)

R :

real rejection

R o :

observed rejection

Δπ :

osmotic pressure difference (bar)

Δx/A k :

the ratio of the effective membrane thickness to membrane porosity (m)

μ :

solute viscosity (mPa s)

σ :

the reflection coefficient


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Authors’ contributions

This paper is the result of joint efforts. Prof. LZ designed the whole experimental plan and confirmed the main objective of this paper. Prof. JZ developed the statistical methods for experimental data. SZ was responsible for the optimization of the nanofiltration technology and the partial investigation of the mechanism in the process. YQ was responsible for the quantification of total sugars. Prof. LJ and Prof. LF helped us complete the paper writing and correcting some grammatical errors in details. All authors read and approved the final manuscript.


This work is financially supported by the National Natural Science Foundation of China (NO.31371725). It is also supported by the National High Technology Research & Development Program of China (863 Program) (No. SS2014AA021202).

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The authors declare that they have no competing interests.

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Correspondence to Lihua Jiang or Liming Zhao.

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Zhang, S., Zhou, J., Fan, L. et al. Investigating the mechanism of nanofiltration separation of glucosamine hydrochloride and N-acetyl glucosamine. Bioresour. Bioprocess. 3, 34 (2016).

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