# Reverse Osmosis Performance in MBR-RO Process with Recirculation of RO Concentrate to MBR for Water Reclamation

Hui Deng, Matthieu Jacob, Manon Montaner, Jean-Stéphane Pic, Christelle Guigui

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Hui Deng, Matthieu Jacob, Manon Montaner, Jean-Stéphane Pic, Christelle Guigui. Reverse Osmosis Performance in MBR-RO Process with Recirculation of RO Concentrate to MBR for Water Reclamation. Journal of Water Resource and Protection, 2020, 12 (9), pp.800-824. 10.4236/jwarp.2020.129047 . hal-04786134

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# Reverse Osmosis Performance in MBR-RO Process with Recirculation of RO Concentrate to MBR for Water Reclamation

Hui Deng, Matthieu Jacob, Manon Montaner, Jean-Stéphane Pic, Christelle Guigui*

TBI, Université de Toulouse, CNRS, INRA, INSA, Toulouse, France

Email: *guigui@insa-toulouse.fr

**How to cite this paper:** Deng, H., Jacob, M., Montaner, M., Pic, J.-S. and Guigui, C. (2020) Reverse Osmosis Performance in MBR-RO Process with Recirculation of RO Concentrate to MBR for Water Reclamation. *Journal of Water Resource and Protection, 12*, 800-824.

https://doi.org/10.4236/jwarp.2020.129047

Received: May 12, 2020

Accepted: September 27, 2020

Published: September 30, 2020

Copyright © 2020 by author(s) and
Scientific Research Publishing Inc.
This work is licensed under the Creative
Commons Attribution International
License (CC BY 4.0).

http://creativecommons.org/licenses/by/4.0/

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Open Access

## Abstract

An integrated membrane system, membrane bioreactor-reverse osmosis (MBR-RO), has become highly efficient in producing high-quality water for municipal wastewater reclamation. However, disposal of a highly concentrated waste stream (RO concentrate or RO retentate) generated in this combination is an important issue. This work investigated RO behaviour in an integrated pilot scale MBR-RO system for municipal wastewater reuse with the continuous recycling of RO retentate to the MBR influent. RO membrane retention and the fouling propensity were studied. RO concentrate, produced by the RO process at a fixed concentration factor (CF) of 3, was recycled continuously to the MBR, leading to water recovery of the entire process around 92%. Osmotic pressure model, saturation index method, high performance liquid chromatography equipped with size exclusion column (HPLC-SEC) and specific filtration test were used to analyse the fouling potential of the RO membrane. The results obtained showed that even though RO concentrate recycling changed remarkably, the compositions of both MBR permeate and RO concentrate, the quality of RO permeate remained almost constant in terms of organic matters, conductivity, and ionic salts. However, these high concentrations of organic or inorganic substances in RO concentrate were major factors leading to the RO membrane fouling. Before RO concentrate recycling, a decline of approximately 30% of the initial RO permeate flux was observed in the period when the CF was increasing to 3, mainly due to the osmotic pressure effect of retained ions and the deposits of organic matters at the RO membrane surface. After RO concentrate addition to the MBR, due to the continuous accumulation of ionic salts on the RO membrane surface, a gradual reduction in RO permeate flux (additional 19%) was also mainly attributed to the osmotic pressure effect of the retained ions. These observations showed that the continuous addition of RO concentrate to the MBR was successful in a combined MBR and RO process in terms of the excellent qual-
ity of RO permeate.

## Keywords

High-Quality Water Reuse, MBR-RO Combination, RO Concentrate
Recirculation, RO Fouling

# 1. Introduction

At present, MBR followed by an RO process (MBR-RO) has gained worldwide acceptance as the most important technology in municipal wastewater reuse [1] [2] [3] [4]. However, membrane fouling is the main limitation in the application of this integrated system for municipal wastewater reuse, due to an increase in operation and maintenance costs by reducing the RO membrane performance and its service lifetime. The RO membrane fouling is a complicated phenomenon, which is prone to occur in different forms (inorganic scaling, organic fouling, biofilm and colloidal fouling) [5]. The constituents of MBR permeate as RO feed, including inorganic ions and organic matters, are mainly associated with how fouling develops in the RO membrane. Soluble microbial products (SMPs) present in MBR permeate are found to be important constituents leading to RO membrane fouling [6]. The presence of inorganic salts in MBR permeate also leads to a reduction in RO permeate flux in MBR-RO systems for real domestic wastewater reuse [7] [8]. Jacob *et al.* (2010) found that MBR effluent containing less concentrated organic matters and conductivity exhibits a lower reduction in RO permeate flux than more concentrated MBR effluent. Moreover, the concentration factor (CF) is a key parameter for RO membrane fouling behaviour. These findings demonstrate the important role of the characteristics of MBR permeate in the fouling mechanisms of the RO membrane.

In addition to RO membrane fouling, the disposal of the RO concentrate stream (also known as RO retentate) is still an ultimate challenge for the sustainable application of an RO process for the reclamation of secondary effluent, because RO concentrate contains a broad range of inorganic and organic constituents at elevated concentrations, such as ionic salts, organic matters, and refractory organic compounds ([9] [10] [11]). The concentration of the retained constituents in RO concentrate is observed to be at least twice that in the wastewater treatment plants (WWTPs) effluent as RO feed water [12]. Several studies have shown that the direct discharge of RO concentrate to the environment may be associated with a risk of toxicity for aquatic organisms [13] [14]. By employing the Microtox® assay, Zhou *et al.* (2011) observe that raw RO concentrate from municipal wastewater reclamation appears to be toxic with 62% inhibition for Vibrio fischeri. Therefore, it is of importance to establish beneficial reuse strategies for RO concentrate management.

To minimize the quantity of untreated RO concentrate directly discharged into the environment, a possible strategy is to recirculate RO concentrate to the
preceding MBR unit. In earlier research [15], nanofiltration (NF) concentrate is returned back into an activated sludge bioreactor for the treatment of dumpsite leachates. The elimination rate of chemical oxygen demand (COD), as an indicator for the treatment efficiency, is enhanced in the recycling phase. In the last five years, a few researchers have extended their work to investigate the performance of an MBR-NF system for wastewater treatment with NF concentrate recycling to the MBR process, by considering the fouling potential of the membrane in MBR and of the NF membrane, and the quality of NF permeate. Li *et al.* (2016) apply an MBR coupled with an NF membrane in cross-flow mode to treat wastewater from antibiotic production, where NF concentrate is recycled back to the MBR unit [16]. Their results demonstrate that the MBR-NF process is successful in treating the antibiotic wastewater with NF concentrate recirculation, achieving a high water recovery higher than 92% and an excellent water quality that meets the standard for industrial use. On the other hand, ionic salts and SMPs brought by NF concentrate recirculation are two main constituents that result in severe membrane fouling in MBR. In addition, the accumulation of non-biodegradable organic components in NF concentrate exhibits a remarkable impact on NF membrane fouling [16]. Before NF process, pre-treatment, including activated carbon, advanced oxidation process (AOPs) and coagulation, has been proposed to reduce membrane fouling [17]. In the case of municipal wastewater reclamation, Kappel *et al.* (2014) compare the performance of an NF process (dead-end mode) treating MBR permeate without or with NF concentrate recirculation to the MBR unit. Results have demonstrated that accumulated salts and small organics molecule in the NF concentrate have no impact on the quality of NF permeate. However, the recirculation of NF concentrate to MBR influences the scaling potential of the NF membrane. Inorganic substances are the main components govern NF membrane fouling [18].

In comparison with an NF membrane, an RO membrane has a higher rejec-
tion potential for ionic salts and organic substances with smaller molecule size,
and it is less prone to permeate flux decline due to internal fouling [3]. Thus, in
this work, the RO membrane was selected to improve water quality, and the RO
concentrate produced was continuously returned to the MBR unit in the aim of
reducing their volume. RO retentate addition to MBR could increase a load of
inorganic and organic substances, further affecting the fouling potential of the
organic MF membrane in MBR (PET membrane with a mean pore size equal to
0.4 µm) [19]. Moreover, high salinity might promote the release of organic cel-
lular constituents by accelerating the endogenous respiration of microorganisms
in the MBR [20]. Consequently, organic substances such as protein-like and
polysaccharide-like substances in MBR permeate possibly induce RO membrane
fouling. In addition, Ca²⁺-induced organic fouling could promote RO permeate
flux decline through interaction with the negatively charged group of organic
matters at the RO membrane surface [6]. Joss et al. (2011) make the first attempt
to recycle treated RO concentrate by ozonation back to the MBR unit in the
MBR-RO-ozonation system, aiming to improve the quality of MBR effluent with a water yield of 90%. This combination is sufficient to reduce emerging micropollutants to below the detection limit and to retain inorganic salts [21]. However, the contribution of organic matters brought by RO concentrate to the RO membrane fouling is not investigated.

In this context, the main objective of the present article was to elucidate the performance of the RO process for treating MBR permeate when raw RO concentrate was continuously recirculated to the MBR. The efficiency of the RO membrane to retain common substances and its fouling propensity were studied. For this purpose, an MBR combined with a cross-flow RO process was used with RO concentrate recycling to the MBR, where RO concentrate represented one-fifth of the total feed flow of MBR unit. The retention efficiencies of organic compounds and ionic salts by the RO membrane was addressed before and during RO concentrate recirculation. Meanwhile, the fouling potential of the RO membrane was examined by the variation of the RO permeate flux versus operating time, the osmotic pressure model of retained salts, the saturation index (SI) of mineral salts, and the analysis of compositions of RO concentrate.

## 2. Materials and Methods

### 2.1. MBR Permeate Characteristics

MBR permeate was obtained from a lab-scale MBR pilot treating municipal wastewater. Prior to RO concentrate recirculation, the MBR was operated for six weeks to achieve stable performance. The characteristics of the municipal wastewater and of MBR permeate produced first without and then with RO concentrate recirculation are given in Table 1. The MBR was effective in removing organic matters, with ~97% removal for dissolved organic carbon (NPOC). As expected, the elimination of inorganic salts by MBR was poor, which meant that most of the ionic salts were still present in MBR permeate. During RO concentrate recycling to the MBR, the quality of MBR permeate (as RO feed) is shown in Table S1 (see Supplementary Information).

### 2.2. MBR-RO Treatment Schema

Figure 1 depicts the pilot-scale MBR-RO system where RO retentate was recirculated to the MBR. The MBR system consisted of an anoxic reactor (5.4 L) and an aerobic reactor (12.6 L) with a submerged flat-sheet MF membrane (0.2 µm pore size, 0.1 m² surface area, Kubota, Japan), as described in previous articles [19] [22] MBR permeate, produced at a flow rate of 23.6 L·d⁻¹, was first stored in a tank for RO tests. The principal operating parameters of the MBR pilot are listed in Table S2.

The cross-flow RO pilot consisted of a storage tank with a useful volume of 50 L, a feed pump (Moineau PCM), a rectangular stainless steel filtration cell with an effective membrane surface area of 0.051 m², a recirculation loop with a volume of 0.8 L, a pressure-regulating valve and several digital flowmeters, as depicted
<table><caption>**Table 1.** Compositions of wastewater and RO feed (MBR permeate) without RO concentrate recycling to MBR.</caption><thead><tr><th>Parameter</th><th>Unit</th><th>Wastewater</th><th>RO feed (before recycling)</th></tr></thead><tbody><tr><td>pH</td><td>-</td><td>-<sup>a</sup></td><td>8.1</td></tr><tr><td>Conductivity</td><td>µS·cm<sup>-1</sup></td><td>-</td><td>1268 ± 26</td></tr><tr><td>NPOC<sup>b</sup></td><td>mg·L<sup>-1</sup></td><td>231 ± 5</td><td>5.8 ± 0.1</td></tr><tr><td>Proteins</td><td>mg·L<sup>-1</sup></td><td>33.4 ± 3.3</td><td>6.5 ± 1.3</td></tr><tr><td>Polysaccharide</td><td>mg·L<sup>-1</sup></td><td>7.4 ± 0.7</td><td>1.0 ± 0.1</td></tr><tr><td>COD<sup>c</sup></td><td>mg·L<sup>-1</sup></td><td>830 ± 10</td><td>21 ± 2</td></tr><tr><td>UVA<sub>254</sub><sup>d</sup></td><td>cm<sup>-1</sup></td><td>-</td><td>0.152 ± 0.002</td></tr><tr><td>UVA<sub>280</sub></td><td>cm<sup>-1</sup></td><td>-</td><td>0.118 ± 0.002</td></tr><tr><td>DIC<sup>e</sup></td><td>mg·L<sup>-1</sup></td><td>-</td><td>6.5 ± 0.1</td></tr><tr><td>Cl<sup>-f</sup></td><td>mg·L<sup>-1</sup></td><td>64 ± 6</td><td>127 ± 13</td></tr><tr><td>N-NO<sub>3</sub><sup>-</sup></td><td>mg·L<sup>-1</sup></td><td>0.20 ± 0.02</td><td>5.0 ± 0.5</td></tr><tr><td>HCO<sub>3</sub><sup>-</sup></td><td>mg·L<sup>-1</sup></td><td>-</td><td>27 ± 3</td></tr><tr><td>SO<sub>4</sub><sup>2-</sup></td><td>mg·L<sup>-1</sup></td><td>42 ± 4</td><td>43 ± 4</td></tr><tr><td>P-PO<sub>4</sub><sup>3-</sup></td><td>mg·L<sup>-1</sup></td><td>3.0 ± 0.3</td><td>0.90 ± 0.09</td></tr><tr><td>Na<sup>+</sup></td><td>mg·L<sup>-1</sup></td><td>174 ± 17</td><td>176 ± 18</td></tr><tr><td>K<sup>+</sup></td><td>mg·L<sup>-1</sup></td><td>14 ± 1</td><td>12 ± 1</td></tr><tr><td>Mg<sup>2+</sup></td><td>mg·L<sup>-1</sup></td><td>8.4 ± 0.8</td><td>5.7 ± 0.6</td></tr><tr><td>Ca<sup>2+</sup></td><td>mg·L<sup>-1</sup></td><td>124 ± 12</td><td>70 ± 7</td></tr></tbody></table>

<figure><img src="image_3.png" /><figcaption>**Figure 1.** Schema of cross-flow RO pilot with recirculation of RO concentrate to the MBR unit. (%): MBR influent consisted of 80% wastewater and 20% RO concentrate. [%]: 71% of MBR permeate flow was used as RO feed water. {%}: The recovery of RO process: 64%. The recovery of the entire process: 92%.</figcaption></figure>

<footnote><sup>a</sup>not analysed. <sup>b</sup>NPOC: non-purgeable dissolved organic carbon. <sup>c</sup>COD: chemical oxygen demand. <sup>d</sup>UV: ultra-violet absorbance. <sup>e</sup>DIC: dissolved inorganic carbon. <sup>f</sup>for MBR permeate, the amount of Cl<sup>-</sup> introduced by RO feed pH control was also included.</footnote>
in **Figure 1**. A flat-sheet RO membrane (ESPA2, Hydranautics) was used in this work, and the relevant properties are shown in **Table S3**. Before the treatment of MBR permeate, the ESPA2 membrane was compacted for at least 2 h with distilled water at a fixed pressure (10 bar) until the RO permeate flux was stable. Regarding the operation of the RO pilot, firstly, valve $V_1$ was closed to ensure the concentration of substances in the recirculation loop. During this period, the concentration factor (CF) was followed through the measured conductivity in both the RO feed and the RO concentrate (Equation (1)). After that, the flow rate ($Q_c$) of RO concentrate was regulated by a valve ($V_1$) so as to enable the RO pilot to work at a fixed volumetric reduction factor (VRF) (Equation (2)). When the retention rate is 100%, VRF is equal to CF.

$$CF = \frac{C_{\text{conductivity-RO concentrate}}}{C_{\text{conductivity-RO feed}}} \qquad (1)$$

$$VRF = \frac{Q_p}{Q_c} + 1 \qquad (2)$$

where $C_{\text{conductivity-RO feed}}$ and $C_{\text{conductivity-RO concentrate}}$ are the measured conductivity ($\mu\text{S}\cdot\text{cm}^{-1}$) in RO feed and bulk RO concentrate, respectively. $Q_c$ and $Q_p$ are the flow rate ($\text{L}\cdot\text{h}^{-1}$) of RO concentrate and RO permeate, respectively.

In this work, the RO process was operated at a cross-flow velocity of 0.18 $\text{m}\cdot\text{s}^{-1}$ and $22^{\circ}\text{C} \pm 1^{\circ}\text{C}$. The transmembrane pressure ($\Delta P$) was around 7 bar. CF was set to around 3. The MBR permeate that was produced from the MBR was continuously fed to the RO process at an average flow rate of 16.8 $\text{L}\cdot\text{d}^{-1}$. RO concentrate (6.0 $\text{L}\cdot\text{d}^{-1}$) were collected in a tank and were continuously recycled to the MBR unit at a flow rate of 4.8 $\text{L}\cdot\text{d}^{-1}$, which represented one-fifth of MBR feed flow (RO concentrate + wastewater). To prevent inorganic scaling on the RO membrane surface, the solution pH of MBR permeate as RO feed was adjusted to ~6 by using 1 $\text{mol}\cdot\text{L}^{-1}$ HCl. At the end of the filtration period, the recirculation loop was deconcentrated with distilled water, aiming to check for membrane fouling reversibility.

During the filtration of MBR permeate, the permeate flux ($J$) of the RO membrane and the permeability ($L_p$ at $22^{\circ}\text{C}$) were calculated using the following equations:

$$J = \frac{Q_p}{A_m} \qquad (3)$$

$$L_p = \frac{J}{\Delta P - \Delta \pi} \qquad (4)$$

$$\Delta P = \frac{P_f + P_c}{2} - P_p \qquad (5)$$

where $J$ represents the permeate flux of the RO membrane ($\text{L}\cdot\text{h}^{-1}\cdot\text{m}^{-2}$). $A_m$ is the specific surface area of the RO membrane ($\text{m}^2$). $L_p$ represents the permeability of the RO membrane at $22^{\circ}\text{C}$ ($\text{L}\cdot\text{h}^{-1}\cdot\text{m}^{-2}\cdot\text{bar}^{-1}$). $\Delta \pi$ represents the osmotic pressure gradient across RO membrane (bar). $P_b$, $P_c$ and $P_p$ are the pressure on the side of RO feed, RO concentrate and RO permeate, respectively (bar).
The observed retention ($R_{obs}$) for global parameters such as organics and ions gave direct information on the performance of the RO membrane, and was calculated by Equation (6).

$$R_{obs}(\%) = \left(1 - \frac{C_p}{C_c}\right) \times 100 \qquad (6)$$

where $C_p$ and $C_c$ refer to the concentration of a selected parameter (NPOC, ionic salts, etc.) in RO permeate and in the bulk RO concentrate, respectively.

## 2.3. Calculation of Saturation Index

Scaling formation was expected to be a function of mineral salt over-saturation at the membrane surface. The saturation index (SI) value is commonly used to assess the supersaturation degree of salts such as AaBb in the solution, and can be defined as [21]:

$$SI = \log \left( \frac{IAP}{K_{sp}} \right) \qquad (7)$$

$$IAP = [A]^{a} [B]^{b} \qquad (8)$$

where IAP is the ionic activity product. $K_{sp}$ is the solubility product constant of the related salts. A positive SI value shows that the compound is over-saturated, which is related to a risk of scaling, whereas an SI value below zero corresponds to under-saturation of the solution [21]. PHREEQC software [23] was used to calculate the SI values of different salts in the non-ideal aqueous solution.

## 2.4. Analytical Methods

Conductivity was recorded by an LF538 conductivity meter (WTW, Germany). COD was detected by a digestion reactor (HACH Co., USA) and a direct reading spectrometer (DR/2000, HACH Co., USA). The determination of NPOC and DIC was performed on a TOC analyser (VCSH-TOC, Schimadzu, Japan) after samples passed through a 0.45 µm PES filter. Ultraviolet absorbance (UVA) of solution samples filtered with a 0.45 µm PES filter was measured using a UV/Visible V-530 spectrophotometer (Shimadzu, Japan) at a given wavelength (254 nm and 280 nm) with a quartz cell having a path length of 1 cm. Concentrations of anions and cations were determined with an ionic chromatography (IC) system (IC 25 and ICS-2000, Dionex, USA). Proteins and polysaccharides were quantified by the bicinchoninic acid assay method [24] and the Anthrone method [25], respectively. HPLC-SEC analysis was carried out in an Akta Purifier with a fluorescence detector (Varian, USA) [26].

# 3. Results and Discussion

## 3.1. Influence of RO Concentrate Recycling on RO Retention Capacity for Organic Matters

Dissolved organic carbon (NPOC) and proteins were considered as indicators to
evaluate RO performance in terms of RO retention capacity for organic matters in the MBR-RO system with RO concentrate recycling. The observed retention for such parameters was calculated based on their concentration measured in the bulk RO concentrate and RO permeate, as shown in Equation (6).

**Figure 2** displays the concentration of organic matters in terms of NPOC in the three flows, including RO feed, RO permeate and RO concentrate, before and during RO concentrate recirculation. The recirculation of RO concentrate induced an increase up to a factor of 2.2 in the concentration of NPOC in RO feed after two weeks. There were two reasons for this increase of organic matters in RO feed: one was the recirculation of poorly biodegradable organics with small molecular weight (MW) from RO concentrate to MBR influents; and the other was that the continuous addition of salts into the MBR may decrease the microbial activity for the degradation of low MW organics in the MBR or increase SMPs' release. Regarding RO concentrate, after only 2 days of recycling, the concentration of NPOC rose rapidly from 20.4 ± 0.4 mg·L⁻¹ before recycling to 25.6 ± 0.5 mg·L⁻¹ and then maintained a relatively constant level over the following 7 days. After 9 days of recycling, the concentration of NPOC increased sharply, and finally reached 35.0 ± 0.6 mg·L⁻¹ in the next 5 days. The rapid increase of NPOC in RO concentrate mainly resulted from the increase in organic matters in RO feed and the excellent rejection (>98%) by the RO membrane. Despite RO concentrate recirculation, the concentration of NPOC in RO permeate remained constant, at a value below 0.57 ± 0.01 mg·L⁻¹. The concentration profile of chemical oxygen demand (COD) was similar to the NPOC curve, as presented in **Figure S1** (see Supplementary information).

<figure><img src="image_4.png" /><figcaption>**Figure 2.** Variation of NPOC in RO flows with the recirculation of RO concentrate. Cross-flow velocity: 0.18 m·s⁻¹. ΔP: ~7 bar. CF: 3.</figcaption></figure>
To better understand the variation of organic matters during RO concentrate recycling, the molecular size distribution of protein-like substances in RO flows was recorded by HPLC-SEC-fluorescence, as depicted in **Figure 3**. Before RO concentrate recirculation, HPLC-SEC analysis of both RO feed and RO concentrate showed two distinct peaks, *i.e.*, a high peak for 10 - 100 kDa protein-like components and a small peak for protein-like molecules smaller than 10 kDa, respectively (Figure 3(a)). In contrast, a negligible response to fluorescence in RO permeate indicated that these two groups of protein-like substances were retained totally on the RO membrane surface. After 13 days of RO retentate addition, the concentration of both <10 kDa and 10 - 100 kDa protein-like substances increased significantly, as indicated in Figure 3(b). For example, for protein-like molecules with 10 - 100 kDa, an increase of 80% in peak height for RO feed and of 40% for RO concentrate was found.

After that, the concentration of proteins in RO solutions was quantified, as shown in **Figure 4**. It appeared that only 2 days after RO concentrate recycling

<figure><img src="image_5.png" /><figcaption>**Figure 3.** HPLC-SEC analysis of RO flows before and after RO concentrate recirculation to MBR unit.</figcaption></figure>

<figure><img src="image_6.png" /><figcaption>**Figure 4.** Concentration of proteins in RO flows before and after RO concentrate recirculation.</figcaption></figure>
caused an increase by a factor of 1.2 for proteins in MBR permeate. After 11 days of RO concentrate addition, in RO feed, the concentration of proteins reached 12.1 ± 2.4 mg·L⁻¹. With respect to RO concentrate, before RO concentrate recycling, the concentration of proteins was around 24.0 ± 4.8 mg·L⁻¹. After 11 days of RO retentate addition, the concentration of proteins was 1.5 times higher compared to before RO concentrate recycling. **Figure S2** (see Supplementary Information) showed that the concentration of polysaccharides increased during RO concentrate recycling to MBR.

These results appeared to demonstrate that the quality of RO permeate in terms of organic matters was not significantly affected during RO concentrate recycling.

## 3.2. Influence of RO Concentrate Recycling on RO Retention Capacity for Salts

One of the important constituents responsible for RO membrane fouling was inorganic salts present in RO feed. Thus, after RO retentate recycling to the MBR, the concentration of inorganic salts in RO system was also addressed. **Figure 5** plots the conductivity variation in RO flows versus the operation time. RO concentrate injection into the MBR unit elevated significantly the conductivity in MBR permeate and in RO concentrate until Day 7 (4 days after start of RO concentrate recycling). After that, the curve showed a plateau for the next 10 days. The conductivity of RO concentrate was approximately 3-fold higher than that of MBR permeate, which revealed that the RO filtration was carried out with a nearly constant CF of 3 in terms of conductivity. In contrast, variation in

<figure><img src="image_7.png" /><figcaption>**Figure 5.** Variation of conductivity in RO flows as a function of operation time.</figcaption></figure>
the conductivity of RO permeate was less significant, with values ranging only between 176 ± 4 µS·cm⁻¹ and 290 ± 6 µS·cm⁻¹. Throughout the experiment, the observed retention of conductivity was around 95%.

**Table 2** displays the retention capacities of the RO membrane for anions and cations before and during RO concentrate recirculation. Firstly, as expected, before RO concentrate recycling, the RO membrane presented the retention rate higher than 86% for every ion not including P-PO₄³⁻. Hence, the continuous addition of RO concentrate did not influence the retention capacities of the RO membrane for most of ions. The abnormal trend of the retention of the RO membrane for P-PO₄³⁻ is possibly related to the variation in concentration of P-PO₄³⁻ in the bulk RO concentrate and the changed pH of RO concentrate. Pinto *et al.* (2011) pointed out that, when solution pH increased more basic values, calcium phosphate becomes increasingly insoluble [27]. As illustrated in **Table 2**, it was also noticed similar retention capacities of the RO membrane for all monovalent or divalent ions, suggesting that other mechanisms were also responsible for the rejection of the RO membrane for the tested ions, in addition to the hydrated ion sizes and the charge effect.

**Figure 6** shows the variation of ionic concentration before and during RO concentrate recirculation. Since the MF membrane in MBR was not effective to reject inorganic ions, the continuous recirculation of RO concentrate with a high load of ionic salts led to a significant rise in the concentration of ionic salts in both RO feed and RO concentrate. After 11 days of RO retentate addition, the ion concentration in RO feed was 4.0 times larger for Cl⁻, 1.4 times larger for N-NO₃⁻, 1.9 times larger for SO₄²⁻, 1.7 times larger for P-PO₄³⁻, 2.3 times larger for Na⁺, 2.0 times larger for K⁺, 2.1 times larger for Mg²⁺, and 1.7 times larger for Ca²⁺ than that obtained before RO concentrate recycling. With respect to RO concentrate, as compared to the initial results (without RO concentrate recycling), 11

<table><caption>**Table 2.** RO membrane retention capacity for anions and cations.</caption><thead><tr><th>R<sub>obs</sub> (%)<sup>a</sup></th><th>Hydrated radius (nm)<sup>b</sup></th><th>before recycling</th><th>after 4d of recycling</th><th>after 11d of recycling</th></tr></thead><tbody><tr><td>pH of RO concentrate</td><td>-</td><td>7.40</td><td>7.14</td><td>6.90</td></tr><tr><td>Cl<sup>-</sup></td><td>0.332</td><td>96</td><td>95</td><td>95</td></tr><tr><td>N-NO<sub>3</sub><sup>-</sup></td><td>0.335</td><td>86</td><td>89</td><td>88</td></tr><tr><td>HCO<sub>3</sub><sup>-</sup></td><td>-<sup>c</sup></td><td>95</td><td>97</td><td>97</td></tr><tr><td>SO<sub>4</sub><sup>2-</sup></td><td>0.379</td><td>98</td><td>98</td><td>99</td></tr><tr><td>P-PO<sub>4</sub><sup>3-</sup></td><td>-<sup>c</sup></td><td>77</td><td>90</td><td>93</td></tr><tr><td>Na<sup>+</sup></td><td>0.358</td><td>95</td><td>95</td><td>93</td></tr><tr><td>K<sup>+</sup></td><td>0.331</td><td>97</td><td>95</td><td>93</td></tr><tr><td>Mg<sup>2+</sup></td><td>0.428</td><td>97</td><td>98</td><td>98</td></tr><tr><td>Ca<sup>2+</sup></td><td>0.412</td><td>96</td><td>97</td><td>98</td></tr></tbody></table>

<footnote><sup>a</sup>R<sub>obs</sub> is calculated by Equation (6). <sup>b</sup>values from [28]. <sup>c</sup>not found in the literature.</footnote>
<figure><img src="image_8.png" /><figcaption>**Figure 6.** Effect of RO concentrate recycling on the concentration of ionic salts in RO flows.</figcaption></figure>

days of RO concentrate recirculation also increased the concentration of these ions, 2.9 times for $Cl^-$, 1.2 times for $N-NO_3^-$, 1.4 times for $SO_4^{2-}$, 4.1 times for $P-PO_4^{3-}$, 1.1 times for $Na^+$, 1.5 times for $K^+$, 1.8 times for $Mg^{2+}$, and 1.5 times for $Ca^{2+}$, respectively. The different increased level of $Cl^-$ in RO feed (4.0 times higher) and RO concentrate (2.9 times higher) was associated with the addition of HCl for controlling RO membrane scaling.

To sum up, the continuous addition of RO concentrate did not influence remarkably the global performance of the RO system in terms of RO permeate quality or the retention capacities of the most common monitoring parameters. The RO permeate produced without and with RO concentrate recirculation could meet the standard for reclaimed water reuse in several industrial processes or for indirect potable reuse [29].

### 3.3. RO Membrane Fouling Propensity

As discussed above, the recirculation of RO concentrate to the MBR resulted in a significant increase in the concentration of inorganic or organic substances in MBR permeate. Consequently, the continuous accumulation of solutes in RO
concentrate possibly affected RO membrane fouling potential. In this section, RO membrane fouling was examined through the variation of the RO permeate flux versus operating time, osmotic pressure model and saturation index (SI).

### 3.3.1. Membrane Fouling in Terms of RO Permeate Flux Decline

Figure 7 shows the RO permeate flux behaviour before and during RO concentrate addition to the MBR. Three different stages were identified in Figure 7: Stage 1 (0 - Hour 5, CF increase, no RO concentrate recycling), Stage 2 (Hour 5 - Day 3, CF kept constant at 3, no RO concentrate recycling), and Stage 3 (Day 3 - Day 17, CF kept constant at 3, RO concentrate recycling). In Stage 1, a rapid decline in permeate flux was observed, with a reduction of approximately 30% of the initial permeate flux when CF reached 3. This remarkable loss in RO permeate flux could be linked to a rapid accumulation of solutes (inorganic ions and organic matters) on the RO membrane surface with CF increase. In the following 3 days (Stage 2), RO permeate flux remained almost constant. Once RO concentrate was added into the MBR from Day 3 (Stage 3), RO permeate flux started to decrease slowly over the next 14 days, and an additional 19% reduction in RO permeate flux was noted, from 8.9 L·h⁻¹·m⁻² to 6.5 L·h⁻¹·m⁻².

At the end of the experiment, the recirculation loop was deconcentrated with distilled water as RO feed. After 3.5 hours' deconcentration of the recirculation loop with distilled water at the same cross-flow velocity of 0.18 m·s⁻¹, around 35% of the initial RO permeate flux could be recovered, indicating that the accumulation of some solutes was removable. On the other hand, the incomplete recovery of the flux (around 16% of initial RO permeate flux) may be associated with a colloidal cake layer or adsorption of organic matters on the RO membrane surface.

To comprehensively evaluate the impact of RO retentate recycling on RO

<figure><img src="image_9.png" /><figcaption>Figure 7. RO permeate flux behaviour throughout the operating time. Cross-flow velocity: 0.18 m·s⁻¹. initial permeate flux: 12.5 L·h⁻¹·m⁻². ΔP: ~7 bar. operating temperature: 22°C ± 1°C. uncertainty of *J*/*J*₀: ± 0.08.</figcaption></figure>
fouling behaviour, deeper analysis was developed below regarding the role of in-organic salts and organics in the reduction of RO permeate flux.

### 3.3.2. Impact of Osmotic Pressure Gradient of Salts on RO Permeate Flux Decline

The continuous recirculation of RO concentrate caused a high ionic concentration at the RO membrane surface, so it could be possible that the increased osmotic pressure of the ions retained at the membrane surface affected the RO permeate flux. To address this point, the osmotic pressure model (Equation (9)) was used to study the effect of the increased osmotic pressure of the ions retained at the membrane surface on the RO permeate flux through the RO membrane.

$$J_{\text{model}} = L_{p0}(\Delta P - \Delta \pi) \quad (9)$$

where $J_{\text{model}}$ refers to the RO permeate flux that is calculated with the osmotic pressure model (L·h⁻¹·m⁻²). $L_{p0}$ is the permeability of the RO membrane with distilled water (1.9 L·h⁻¹·m⁻²·bar⁻¹). $\Delta \pi$ is the osmotic pressure difference (bar) of ionic salts between the membrane surface and the RO permeate side, which can be calculated with the Van't Hoff equation [30]:

$$\Delta \pi = \pi_m - \pi_p = \sum C_{m,i} z_i RT - \sum C_{p,i} z_i RT \quad (10)$$

where $\pi_m$ and $\pi_p$ are the osmotic pressure of ions at the RO membrane surface and in RO permeate side (Pa), respectively. The unit of both $\pi_m$ and $\pi_p$ is converted to bar (1 bar = 10⁵ Pa). $z_i$ is the valency of ion i. T is the absolute temperature (K). R is the ideal gas constant, 8.3145 J·mol⁻¹·K⁻¹ or 8.3145 m³ Pa·mol⁻¹·K⁻¹. $C_{p,i}$ is the concentration of ion i in RO permeate (mol·L⁻¹), which can be obtained from the experimental data (see Figure 6). $C_{m,i}$ represents the concentration (mol·L⁻¹) of ion i at the RO membrane surface, which cannot be measured directly but can be estimated by Equation (11).

$$\ln \frac{C_{m,i} - C_{p,i}}{C_{c,i} - C_{p,i}} = \frac{J_{\text{exp}}}{k_i} \quad (11)$$

where $C_{c,i}$ represents the concentration of ion i in the bulk RO concentrate (mol·L⁻¹), the value of which is found from the experiment (see Figure 6). $J_{\text{exp}}$ is the RO permeate flux from experiments (see Figure 7). $k_i$ refers to the mass transfer coefficient of ion i (m·s⁻¹), which can be estimated based on the equations provided by Hoek et al. (2008) (see Supplementary Information).

Based on the $k_i$ value (Table S3, Supplementary Information) and the ionic concentration measured in both the RO permeate ($C_p$) and bulk RO concentrate ($C_c$), the concentration of each ion at the RO membrane surface ($C_m$) was calculated before and during RO concentrate addition, as shown in Table S4 (see Supplementary Information). From Equation (9), the flux decline due to osmotic pressure effect could be obtained.

Figure 8 shows the osmotic pressure gradient of inorganic salts and the RO permeate flux decline from both the test ($J_{\text{exp}}$) and the model ($J_{\text{model}}$). During the
<figure><img src="image_10.png" /><figcaption>**Figure 8.** Variation of the osmotic pressure gradient of retained ions and RO permeate flux as a function of operation time. Cross-flow velocity: 0.18 m·s⁻¹. ΔP: ~7 bar. initial permeate flux for both the test and the model: 12.5 L·h⁻¹·m⁻².</figcaption></figure>

period of CF increase (Stage 1), the osmotic pressure gradient of inorganic salts increased, from the initial 0.4 bar (CF = 1) to 1.5 bar when CF reached 3. The increase of osmotic pressure gradient led to a reduction of 18% in permeate flux from the model, which was lower than the reduction in permeate flux found in the experiment, with a value around 30%, revealing that other fouling behaviour, such as the precipitation of salts, adsorption or a cake layer caused by smaller colloids at the RO membrane surface, took place in this stage. In the following 3 days (Stage 2), the osmotic pressure gradient and RO permeate flux stayed almost constant. However, when RO concentrate was added continuously to the MBR from Day 3 (Stage 3), the osmotic pressure gradient of inorganic salts increased gradually, reaching 2.6 bar after 11 d of RO concentrate recycling (Day 14). Correspondingly, the RO permeate flux from the model decreased continuously. In addition, comparing the behaviour of flux in the test and the model (Stage 3), a similar slope as a function of operating time revealed that the increased osmotic pressure caused by RO concentrate recirculation was a dominant factor causing the additional 19% reduction in RO permeated flux during this stage.

In conclusion, except Stage 1 at the beginning, the RO permeate flux decrease was due to the increased osmotic pressure of retained ions. At the first stage of the operation, adsorption phenomena or colloidal cake layer could happen, which represented 15% of the RO permeate flux decline. This point was confirmed by the reversibility of the fouling by the deconcentration of the recirculation loop with distilled water.

### 3.3.3. Scaling Potential Analysis Based on Saturation Index Model

To confirm a minor effect of inorganic scaling (the precipitation of ionic salts) on the RO permeate flux decline, the most common scalants, hydroxyapatite (Ca₅(PO₄)₃OH), calcite (CaCO₃) and gypsum (CaSO₄·2H₂O), were used to predict RO membrane scaling (Jiang *et al.*, 2017). Detailed infor-
mation on calculation of saturation index of these salts is described in the Supplementary Information. Thus, the ionic concentration in RO concentrate was used to estimate the SI value with PHREEQC model. **Table 3** summarizes the SI values of three scalants in the bulk RO concentrate before and during RO concentrate recirculation. Before or during RO concentrate recirculation, SI values of alkaline calcite and non-alkaline gypsum were lower than zero, indicating that the corresponding ionic salts were undersaturated. Their lower SI values can be explained by their high $k_{sp}$: $2.80 \times 10^{-9}$ for calcite and $4.93 \times 10^{-5}$ for gypsum. Moreover, with RO concentrate recirculation, a decreasing trend of the SI values for calcite and hydroxyapatite could be explained by the different pH values of RO concentrate at the different operating time. Compared to calcite and gypsum, the SI values of hydroxyapatite, with a relatively low $k_{sp}$ of $2.34 \times 10^{-59}$, were above 0 during the entire process, which meant that non-alkaline hydroxyapatite occurred on the RO membrane surface. Nonetheless, $P-PO_4^{3-}$ concentration in MBR permeate was low, with a value of around 0.90 $mg \cdot L^{-1}$. Thus, inorganic precipitation may have become less pronounced for RO membrane fouling potential in this work.

## 4. Conclusions

The main objective was to elucidate the impacts of RO concentrate recycling on the performance of the RO process for treating MBR permeate, in terms of the retention efficiency of common parameters by the RO membrane and the fouling propensity of this membrane. In this work, RO concentrate, produced by the RO process at a fixed CF around 3, was added continuously to the MBR, representing 20% of the total MBR inflow. The results obtained suggested that, regardless of RO retentate recycling to the MBR unit, the RO membrane in this integrated system still maintained a relatively stable and effective retention capacity for the global water quality parameters, for instance, >98% for NPOC and >95% for conductivity.

Since the recirculation of RO concentrate changed the concentration of inorganic and organic species in MBR permeate (as RO feed) and RO concentrate, the fouling propensity of the RO membrane was enhanced, which was mainly

<table><caption>**Table 3.** Saturation index of three common scalants before and after RO concentrate recirculation</caption><thead><tr><th rowspan="2">SI</th><th rowspan="2"></th><th rowspan="2">k<sub>sp</sub><sup>a</sup></th><th colspan="3">CF around 3</th></tr><tr><th>Before recycling</th><th>after 4 d of recycling</th><th>after 11 d of recycling</th></tr></thead><tbody><tr><td>pH of RO concentrate</td><td>-</td><td>-</td><td>7.4</td><td>7.1</td><td>6.9</td></tr><tr><td>Calcite</td><td>CaCO<sub>3</sub></td><td>2.80 &times; 10<sup>-9</sup></td><td>-0.06</td><td>-0.21</td><td>-0.38</td></tr><tr><td>Gypsum</td><td>CaSO<sub>4</sub>&middot;2H<sub>2</sub>O</td><td>4.93 &times; 10<sup>-5</sup></td><td>-1.29</td><td>-1.21</td><td>-1.10</td></tr><tr><td>Hydroxyapatite</td><td>Ca<sub>5</sub>(PO<sub>4</sub>)<sub>3</sub>OH</td><td>2.34 &times; 10<sup>-59</sup></td><td>6.76</td><td>4.53</td><td>3.93</td></tr></tbody></table>

<footnote><sup>a</sup>from [31].</footnote>
due to an increase in the osmotic pressure of retained ions at the RO membrane surface. In addition, over the entire process, a reduction of approximately 15% of the initial RO permeate flux was linked to adsorption or a colloidal fouling layer at the RO membrane surface.

Overall, the integrated MBR-RO system with RO concentrate recycling could minimize the quantity of the RO concentrate waste stream. In view of the RO permeate flux decline mainly due to the increased osmotic pressure of retained ions, the amount of inorganic ions brought to the MBR by RO concentrate re-circulation should be reduced by using several technologies (such as capacitive deionisation process) in future works.

## Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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Nomenclature

<table><tr><td>ρ</td><td>Volumetric mass density (998 kg·m<sup>-3</sup> at 22°C)</td></tr><tr><td>μ</td><td>Viscosity of solution (0.9544 mPa s at 22°C)</td></tr><tr><td>ε<sub>sp</sub></td><td>Spacer porosity (0.8)</td></tr><tr><td>Δπ</td><td>Osmosis pressure gradient across the membrane (bar)</td></tr><tr><td>ΔP</td><td>Transmembrane pressure (bar)</td></tr><tr><td>π<sub>m</sub></td><td>Osmosis pressure at the membrane surface (bar)</td></tr><tr><td>π<sub>p</sub></td><td>Osmosis pressure in RO permeate side (bar)</td></tr><tr><td>A<sub>m</sub></td><td>Surface area of membrane (m<sup>2</sup>)</td></tr><tr><td>AOPs</td><td>Advanced oxidation processes</td></tr><tr><td>CF</td><td>Concentration factor</td></tr><tr><td>C<sub>c</sub></td><td>Concentration of an indicator in RO concentrate (mg·L<sup>-1</sup>, mol·L<sup>-1</sup>)</td></tr><tr><td>C<sub>f</sub></td><td>Concentration of an indicator in RO inflow (mg·L<sup>-1</sup>, mol·L<sup>-1</sup>)</td></tr><tr><td>C<sub>m</sub></td><td>Concentration of an indicator at membrane surface (mg·L<sup>-1</sup>, mol·L<sup>-1</sup>)</td></tr><tr><td>C<sub>p</sub></td><td>Concentration of an indicator in RO permeate (mg·L<sup>-1</sup>, mol·L<sup>-1</sup>)</td></tr><tr><td>COD</td><td>Chemical oxygen demand</td></tr><tr><td>D<sub>i</sub></td><td>Diffusivity of ion i in water (m<sup>2</sup>·s<sup>-1</sup>)</td></tr><tr><td>DIC</td><td>Dissolved inorganic carbon</td></tr><tr><td>d<sub>H</sub></td><td>Hydraulic diameter for a rectangular channel</td></tr><tr><td>H</td><td>Spacer thickness (0.00063 m)</td></tr><tr><td>IAP</td><td>Ionic activity product</td></tr><tr><td>J</td><td>Membrane flux (L·h<sup>-1</sup>·m<sup>-2</sup>)</td></tr><tr><td>k<sub>i</sub></td><td>Mass transfer coefficient of ion i (m·s<sup>-1</sup>)</td></tr><tr><td>K<sub>sp</sub></td><td>Solubility product constant</td></tr><tr><td>Lp</td><td>Initial permeability of virgin membrane (L·h<sup>-1</sup>·m<sup>-2</sup>·bar<sup>-1</sup>)</td></tr><tr><td>MBR</td><td>Membrane bioreactor</td></tr><tr><td>MF</td><td>Microfiltration</td></tr><tr><td>MWCO</td><td>Molecular weight cut-off</td></tr><tr><td>NF</td><td>Nanofiltration</td></tr><tr><td>NPOC</td><td>Non-purgeable organic carbon</td></tr><tr><td>Q<sub>c</sub></td><td>Flow rate of RO concentrate (L·h<sup>-1</sup>)</td></tr><tr><td>Q<sub>f</sub></td><td>Flow rate of RO inflow (L·h<sup>-1</sup>)</td></tr><tr><td>Q<sub>p</sub></td><td>Flow rate of RO permeate (L·h<sup>-1</sup>)</td></tr><tr><td>P<sub>c</sub></td><td>Pressure in RO concentrate side (bar)</td></tr><tr><td>P<sub>f</sub></td><td>Pressure in RO feed side (bar)</td></tr><tr><td>P<sub>p</sub></td><td>Pressure in RO permeate side (bar)</td></tr><tr><td>R<sub>obs</sub></td><td>Observed retention capacity (%)</td></tr><tr><td>R</td><td>Universal gas constant (8.3145 J·mol<sup>-1</sup>·K<sup>-1</sup>).</td></tr><tr><td>Re</td><td>Reynolds number</td></tr><tr><td>RO</td><td>Reverse osmosis</td></tr><tr><td>Sc</td><td>Schmidt number</td></tr><tr><td>Sh</td><td>Sherwood number</td></tr><tr><td>SI</td><td>Saturation index</td></tr></table>
SMPs Soluble microbial products

SRT Solids retention time

T Absolute temperature (K)

TOC Total organic carbon

U Tangential velocity of RO concentrate (m·s⁻¹)

UVA Ultraviolet absorbance

UF Ultrafiltration

V₁ Valve of RO concentrate side

WWTPs Wastewater treatment plants

zᵢ Valency of ion i
## Supplementary Information

<table><caption>**Table S1.** Operating conditions of the MBR pilot.</caption><tr><td>Net flux of MBR permeate</td><td>9.8 L·h<sup>-1</sup>·m<sup>-2</sup></td></tr><tr><td>Filtration/relaxation cycles</td><td>8 min/4min</td></tr><tr><td>Solid retention time (SRT)</td><td>45 days</td></tr><tr><td>Hydraulic retention time (HRT)</td><td>18.4 h</td></tr><tr><td>Aerobic MLSS</td><td>7.7 ± 0.8 g·L<sup>-1</sup></td></tr><tr><td>Aeration</td><td>With large air bubbles at a flow rate of 1.5 L·min<sup>-1</sup></td></tr></table>

<table><caption>**Table S2.** Characteristics of the ESPA2 RO membrane (from [1]).</caption><tr><td>Manufacturer</td><td>Hydranautics</td></tr><tr><td>Material</td><td>Polyamide</td></tr><tr><td>Average pore diameter (nm)</td><td>Not applicable</td></tr><tr><td>Na<sup>+</sup> rejection (%)</td><td>96.5</td></tr><tr><td>MWCO (g·mol<sup>-1</sup>)<sup>a</sup></td><td>&lt;100</td></tr><tr><td>Surface roughness (nm)</td><td>30.0</td></tr><tr><td>Membrane charge</td><td>Negative</td></tr><tr><td>Surface charge (mV)</td><td>~20</td></tr></table>

### Calculation of mass transfer coefficient of ions *i* (*k*<sub>i</sub>)

The following equations could be used to estimate *k*<sub>i</sub> values (Hoek et al., 2008).

$$k_i = Sh \frac{D_i}{d_H} = 0.065 \text{Re}^{0.875} \text{Sc}^{0.25} \frac{D_i}{d_H} \quad (S1)$$

$$\text{Re} = \frac{\rho U d_H}{\mu} \quad (S2)$$

$$Sc = \frac{\mu}{\rho D_i} \quad (S3)$$

$$d_H = 2\epsilon_{sp}H \quad (S4)$$

where *Sh* is the Sherwood number. *Re* is the Reynolds number. *Sc* is the Schmidt number. *D*<sub>i</sub> is the diffusivity of ion *i* in water (m<sup>2</sup>·s<sup>-1</sup>). *U* is the tangential velocity, equal to 0.18 m·s<sup>-1</sup>. *ρ* is the volumetric mass density (998 kg·m<sup>-3</sup> at 22°C). *d*<sub>H</sub> is the hydraulic diameter of a rectangular channel. *μ* is the viscosity of the solution (0.9544 mPa·s at 22°C). *H* is the spacer thickness (0.00063 m). *ε*<sub>sp</sub> is the spacer porosity (0.8). Throughout the RO process, the operating temperature was kept at 22°C ± 1°C, so the viscosity, density, and diffusivity of the feed solution were constant here. The *k*<sub>i</sub> values of ion *i* are summarized in **Table S3**.

Based on the *k*<sub>i</sub> value and the ionic concentration measured in both the RO permeate (*C*<sub>p</sub>) and bulk RO concentrate (*C*<sub>c</sub>), the concentration of each ion at the RO membrane surface (*C*<sub>m</sub>) was calculated before and during RO concen-

<footnote><sup>a</sup>From the manufacturer.</footnote>
trate addition, as shown in **Table S4**. The $C_m$ value of each ion increased with RO concentrate recycling. Moreover, the $C_m$ value of each ion was slightly higher than $C_o$, which confirmed that concentration polarization occurred. The ratio of the ionic concentration between at the RO membrane surface and in the bulk RO concentrate ($C_m/C_o$) kept almost constant before or during RO concentrate recycling.

### Concentration profile of COD

The concentration profile of chemical oxygen demand (COD) was similar to the NPOC curve, as can be seen in **Figure S1**. After 14 days of RO retentate addition, COD concentration increased by a factor of 1.4 in MBR permeate (from $25 \pm 2$ mg·L⁻¹ to $34 \pm 2$ mg·L⁻¹), of 1.7 in RO concentrate (from $61 \pm 2$ mg·L⁻¹ to $105 \pm 2$ mg·L⁻¹). In RO permeate, the concentration of COD remained almost constant throughout the experiment, near to the detection limit, which also matched a fact of the overall retention capacity remaining above 94% over the

<table><caption>**Table S3.** Diffusion coefficient, Reynolds Number, Schmidt Number, Sherwood Number, and transfer coefficient of different ions.</caption><thead><tr><th></th><th>Re = 191</th><th>Cl<sup>-</sup></th><th>N-NO<sub>3</sub><sup>-</sup></th><th>HCO<sub>3</sub><sup>-</sup></th><th>SO<sub>4</sub><sup>2-</sup></th><th>P-PO<sub>4</sub><sup>3-</sup></th><th>Na<sup>+</sup></th><th>K<sup>+</sup></th><th>Mg<sup>2+</sup></th><th>Ca<sup>2+</sup></th></tr></thead><tbody><tr><td>$D_i \times 10^{10}$ m<sup>2</sup>·s<sup>-1a</sup></td><td>20.32</td><td>19.02</td><td>11.85</td><td>10.65</td><td>8.24</td><td>13.34</td><td>19.57</td><td>7.06</td><td>7.92</td></tr><tr><td>$Sc$</td><td>471</td><td>503</td><td>807</td><td>898</td><td>1161</td><td>717</td><td>489</td><td>1355</td><td>1207</td></tr><tr><td>$Sh$</td><td>29.8</td><td>30.3</td><td>34.1</td><td>35.0</td><td>37.4</td><td>33.1</td><td>30.1</td><td>38.8</td><td>37.7</td></tr><tr><td>$k_i \times 10^5$ m·s<sup>-1</sup></td><td>6.01</td><td>5.72</td><td>4.01</td><td>3.70</td><td>3.05</td><td>4.38</td><td>5.84</td><td>2.72</td><td>2.96</td></tr></tbody></table>

<table><caption>**Table S4.** Ionic concentration at the RO membrane surface before and during RO concentrate recirculation</caption><thead><tr><th rowspan="3">Ions</th><th colspan="4">Before recycling</th><th colspan="4">During recycling (Stage 3)</th><th rowspan="3">average<br>$C_m/C_o$<sup>a</sup></th></tr><tr><th colspan="2">Hour 5<br>(end of Stage 1)</th><th colspan="2">Day 3<br>(end of Stage 2)</th><th colspan="2">Day 7<br>(after 4 d of<br>recycling)</th><th colspan="2">Day 14<br>(after 11 d of<br>recycling)</th></tr><tr><th>$C_m$</th><th>$C_o$</th><th>$C_m$</th><th>$C_o$</th><th>$C_m$</th><th>$C_o$</th><th>$C_m$</th><th>$C_o$</th></tr></thead><tbody><tr><td>Cl<sup>-</sup></td><td>556</td><td>534</td><td>627</td><td>602</td><td>1220</td><td>1178</td><td>1740</td><td>1689</td><td>1.04</td></tr><tr><td>N-NO<sub>3</sub><sup>-</sup></td><td>13</td><td>12</td><td>13</td><td>12</td><td>15</td><td>15</td><td>15</td><td>15</td><td>1.03</td></tr><tr><td>HCO<sub>3</sub><sup>-</sup></td><td>95</td><td>89</td><td>101</td><td>95</td><td>121</td><td>115</td><td>126</td><td>121</td><td>1.05</td></tr><tr><td>SO<sub>4</sub><sup>2-</sup></td><td>164</td><td>154</td><td>170</td><td>156</td><td>201</td><td>186</td><td>226</td><td>211</td><td>1.08</td></tr><tr><td>P-PO<sub>4</sub><sup>3-</sup></td><td>0.89</td><td>0.84</td><td>0.85</td><td>0.80</td><td>2.9</td><td>2.7</td><td>3.5</td><td>3.3</td><td>1.06</td></tr><tr><td>Na<sup>+</sup></td><td>688</td><td>651</td><td>725</td><td>687</td><td>777</td><td>742</td><td>797</td><td>766</td><td>1.05</td></tr><tr><td>K<sup>+</sup></td><td>34</td><td>32</td><td>34</td><td>33</td><td>45</td><td>44</td><td>51</td><td>50</td><td>1.03</td></tr><tr><td>Mg<sup>2+</sup></td><td>16</td><td>15</td><td>16</td><td>15</td><td>22</td><td>21</td><td>28</td><td>26</td><td>1.07</td></tr><tr><td>Ca<sup>2+</sup></td><td>203</td><td>187</td><td>209</td><td>193</td><td>240</td><td>225</td><td>301</td><td>284</td><td>1.07</td></tr></tbody></table>

<footnote>aThe diffusion coefficients of ionic species were obtained from [2] and [3].</footnote>

<footnote>aThe average ratio of the ionic concentration at the membrane surface and in the bulk RO concentrate.</footnote>
<figure><img src="image_11.png" /><figcaption>**Figure S1.** Variation of COD in RO flows with the recirculation of RO concentrate. Cross-flow velocity: 0.18 m·s⁻¹. ΔP: ~7 bar. CF: 3.</figcaption></figure>

<figure><img src="image_12.png" /><figcaption>**Figure S2.** Concentration of polysaccharides in RO flows before and after RO concentrate recirculation. Cross-flow velocity: 0.18 m·s⁻¹. ΔP: ~7 bar. CF: ~3.</figcaption></figure>

entire filtration experiment.

## References

[1] Alturki, A.A., Tadkaew, N., McDonald, J.A., Khan, S.J., Price, W.E. and Nghiem, L.D. (2010) Combining MBR and NF/RO Membrane Filtration for the Removal of Trace Organics in Indirect Potable Water Reuse Applications. *Journal of Membrane Science*, **365**, 206-215. https://doi.org/10.1016/j.memsci.2010.09.008

[2] Hoek, E.M.V., Allred, J., Knoell, T. and Jeong, B.-H. (2008) Modeling the Effects of Fouling on Full-Scale Reverse Osmosis Processes. *Journal of Membrane Science*,
**314**, 33-49. https://doi.org/10.1016/j.memsci.2008.01.025

[3] Hoek, E.M.V., Allred, J., Knoell, T. and Jeong, B.-H. (2008) Modeling the Effects of Fouling on Full-Scale Reverse Osmosis Processes. *Journal of Membrane Science*, **314**, 33-49. https://doi.org/10.1016/j.memsci.2008.01.025

[4] Lide, D.R. (2005) CRC Handbook of Chemistry and Physics, Internet Version 2005. CRC Press, Boca Raton.