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Environ Eng Res > Volume 31(1); 2026 > Article
Lee, Choi, Lee, and Oh: Cleaning protocol optimization for ultrafiltration membranes for drinking water using the response surface methodology

Abstract

This study evaluated the efficacy of various cleaning chemical concentrations, contact times, water temperatures, and their combinations on membrane fibers sampled from the test module of a pilot water treatment plant for surface water, with the goal of recovering a permeability level comparable to that of a virgin module. Energy dispersive X-ray analysis revealed high concentrations of organic materials in the fiber samples as well as minor amounts of inorganic materials. The dual-cleaning process recovered permeability to typical levels for the virgin module, indicating successful restoration of performance. A response surface methodology analysis was performed using the experimental cleaning data. The most effective cleaning protocol involved the use of 2.0% citric acid at 40°C for 4 h, followed by 0.15% NaOCl at 40°C for additional 4 h. During this process, the scale structure was loosened by the acidic solution and then the organic matters from the combined structure and gel layer on the membrane surface were dissolved by the alkaline agent. Our study highlights the importance of implementing tailored cleaning protocols based on a detailed assessment of membrane conditions and selecting appropriate cleaning agents and conditions for optimal performance of the membrane module.

Graphical Abstract

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1. Introduction

Well-managed membrane fouling in a membrane water filtration process ensures treated water safety, secures production stability, extends membrane life, minimizes chemical cleaning wastewater, and reduces pump energy consumption [15]. To reduce membrane fouling, the modification of membrane materials, selection of pretreatments compatible with coagulation and oxidation, regular enhanced maintenance cleaning, proper linear velocity at the filtration stage, proper cycle from filtration to backwash, backwash strength, and optimal chemical cleaning procedures should be considered [3, 614]. In the case of pressurized low-pressure membranes, although the maximum allowable operating pressure can reach up to 3 bar, maintenance cleaning and cleaning in place are typically performed before reaching this limit. Cleaning is generally planned when approximately 70–80% of the maximum allowable pressure is reached; however, in field operations, chemical cleaning is commonly recommended at a transmembrane pressure (TMP) of approximately 1 bar. Performing cleaning at a relatively low TMP helps prevent membrane damage, enhances cleaning effectiveness, and ultimately extends membrane lifespan. One of the crucial steps for removing foulants accumulated on the membrane is chemical cleaning, which must be performed regularly using cleaning chemicals in the field. When using cleaning agents, the manufacturer’s instructions and guidelines provide specific membrane material to use for specific type of contamination. In particular, even with the same membrane, the cleaning effect may vary depending on field conditions to which the membrane is applied. Therefore, identifying membrane pollutants through empirical experiments and cleaning various chemicals according to the membrane and contamination type is crucial [15, 16].
Acidic cleaners such as citric acid (CA, C6H8O7), and ethylenediaminetetraacetic acid (EDTA, C10H16N2O8) are used to remove scale and inorganic fouling from membranes. They serve as chelating agents that bind with metal ions present during fouling. Chelation helps to remove metal fouling from membrane surfaces. Its cleaning mechanism involves its strongly acidic nature and the ability to chelate metal ions, thereby dissolving metal fouling [17]. Alkaline cleaners, such as sodium hypochlorite (NaOCl), sodium hydroxide or potassium hydroxide, are used to remove organic and inorganic fouling from membranes. Their cleaning mechanism involves their strongly alkaline nature and ability to break down and solubilize various types of fouling [1820]. Sodium hypochlorite is often used as a disinfectant to remove biofouling from membranes. The cleaning mechanism of sodium hypochlorite involves its oxidizing properties and ability to target organic matter [21]. In addition, using both acidic and alkaline cleaners at appropriate concentrations, pH conditions, and cleaning agent sequences based on the fouling characteristics is important [2224]. Therefore, site-specific cleaning procedures must be established based on knowledge of the membrane material, fouling characteristics, and cleaning mechanism.
When treating raw water from dam reservoir with membrane filtration, fouling caused by total organic carbon (TOC) and manganese (Mn) should be considered. During periods of strong stratification, the concentration of soluble Mn in the tailrace from the dam reservoir increases [25]. Additionally, during the drought season, TOC concentration in the dam reservoir increases [26]. Elevated levels of TOC and Mn in raw water contribute to increased filtration resistance. TOC is considered the primary source of organic fouling, playing a significant role in the membrane fouling formation process [27, 28]. Such TOC includes hydrophobic intracellular organic matter from Chlorella vulgaris and Microcystis aeruginosa [29], polysaccharides, protein-like and fulvic acid-like substances [30]. The iron and manganese in the feed water reduce membrane permeability without biocake layer formation [31]. Cleaning protocol for removing such foulants is required.
An analysis of the membrane module was performed at 4 months after the start of operations for surface water treatment. This study optimized the cleaning protocol for site-specific foulants using acidic and alkaline cleaning agents. The influence of the protocol on clean-in-place (CIP) was assessed based on type and concentration of cleaning agents as well as the temperature and chemical contact time to determine the most appropriate cleaning protocol for site-specific foulants. As a powerful tool for optimizing membrane cleaning [16,3234], response surface methodology (RSM) analysis was performed using experimental performance recovery data obtained under various cleaning conditions, and a model for the cleaning process was developed. This approach aims to establish optimal cleaning condition through a series of chemical cleaning experiments conducted over a long period of pilot testing.

2. Materials & Methods

2.1. Mini Ultrafiltration Module Test for Membrane Cleaning Evaluation

Raw water from a dam reservoir was used to assess the cleaning efficiency of the membrane process. Water quality data throughout the operational period are detailed in Table S1. Although turbidity was low, the high concentration of TOC and the presence of Mn in the raw water raised concerns about potential organic fouling due to organic matter and inorganic fouling resulting from Mn in the ultrafiltration (UF) process. To address this complex water quality issue, a pilot plant was designed to evaluate the necessity of implementing a permanganate oxidation process as pretreatment to control incoming Mn and mitigate the organic load on the membrane.
The advanced water treatment pilot plant was composed of manganese oxidation process, UF, UV-hydrogen peroxide advanced oxidation process (AOP), and granular activated carbon process. However, to understand fouling characteristics, the same raw water was directly filtered using a mini-UF membrane to induce severe conditions. The mini-UF membrane module (S10N, Evoqua Water Technologies, Pittsburgh, PA, USA) had a pore size of 0.04 μm and was composed of hydrophobic polyvinylidene difluoride (PVDF). The UF membrane applied in the pilot plant had the same specifications.

2.2. Preparation of Pencil UF Modules for Cleaning Experiments

A mini-UF module was detoured from the pilot plant and operated together on site for fiber analysis and cleaning studies, and it was removed from service after four months of operation without pretreatment or chemical cleaning. Fiber samples obtained from this module were cut and made into pencil modules for fiber analysis and laboratory cleaning. The cleaning protocols selected from the laboratory cleaning study were verified using the pencil module. The pencil module was manufactured using two fibers with 400 mm and 200 mm of total and free fiber lengths, respectively, providing a 0.0013 m2 of membrane surface area per individual pencil module (Fig. 1a). Eighty fiber samples were extracted from the mini-module, and forty pencil modules were fabricated with two fibers from the pre-cut fiber samples. The tests conducted in this cleaning study included module inspection, pencil module preparation from fiber sampling, cleaning protocol screening with pencil modules, module analysis, and recovery flux tests.
Clean water permeability tests and post-clean fouling studies were conducted with reverse osmosis (RO) water in a bench-scale filtration unit (Fig. 1b). This unit was designed to filter at constant pressure, provide air and liquid backwashes, and operate with soaking CIP method. The filtrate flow was measured using two lab balances with a digital output capability. The pressure and temperature were measured using transducers, digitized, and logged in a programmable logic controller (PLC) system. The operating flux, membrane resistance, and permeability were calculated automatically using the PLC system. The clean water permeability of each pencil module was tested by filtering RO permeate for approximately 5 min. For post-clean fouling studies, a test feed with a turbidity of approximately 10 NTU was prepared by combining appropriate proportions of the test site feed water (drawn from South Creek) and test site RO permeate (UF-filtered South Creek water followed by RO filtration). Post-clean fouling performance of each pencil module was determined by filtering the test feed through the pencil module for approximately 4–8 h without backwashing. The cleaning efficiency was calculated as shown in Eq. (1) to evaluate the effects of chemical cleaning on permeability recovery with foulant removal.
(1)
Cleaningefficiency=ChangeofpermeabilitywithchemicalcleaningInitialpermeabilityofnewfiber-Fouledpermeability

2.3. Experimental Design of the Cleaning Procedure

During the cleaning process using pencil modules, the test membranes were immersed in selected cleaning agents under defined conditions. RO permeate was used as the diluent for all cleaning solutions. The chemicals and cleaning conditions used in the screening experiments are presented in Fig. 2. Citric acid at concentrations ranging from 0.1% to 2% was used as the primary acidic cleaning agent. Phosphoric acid (PA) was added to adjust the pH to a target value of 2.0. Sodium hypochlorite at concentrations between 500 and 1,500 mg/L was used as the main alkaline cleaning agent. The chemical concentration, contact time, and water temperature were varied to evaluate their effects on cleaning efficiency.
The contact times for each chemical were determined based on typical chemical cleaning durations (2–4 hours per cleaning agent) used in drinking water treatment plants that treat surface water. The concentration ranges for the two chemicals were also selected based on the ranges commonly used in on-site CIP and maintenance cleaning procedures. The cleaning temperatures were selected from within the recommended range for PVDF membranes (20–45°C). These temperatures not only influence the reaction kinetics of acidic and alkaline agents but also represent feasible and practical values for heating large volumes of water in field applications. Although PVDF membranes exhibit good thermal resistance, prolonged exposure to temperatures above 50°C can lead to pore structure deformation and membrane degradation under chemically aggressive conditions. Therefore, 20°C and 40°C were selected as representative temperatures for this study. Dual chemical cleaning using pencil modules was conducted under various combinations of conditions derived from the screening tests. The acid–alkaline cleaning sequence was adopted based on the chemical rationale and manufacturer guidelines for membrane operations during surface water treatment. Acid cleaning was prioritized to remove inorganic foulants, such as metal oxides, which can interfere with the efficacy of subsequent alkaline cleaning.
Scanning electron microscopy (SEM) and energy-dispersive X-ray spectroscopy (EDS) were used to identify and determine the elemental composition of membrane foulants [35]. Post-clean hydraulic performance tests were conducted with pencil modules after the selected cleaning chemicals. Net permeability recoveries were calculated for all trials. The full-module permeability and hydraulic performance were evaluated prior to the module cleaning study. Full-module cleaning, which is the most effective cleaning method, was identified in a pencil module cleaning study. Furthermore, the pilot-scale module was validated by post-clean hydraulic performance. Pencil modules were used to confirm the cleaning results for each test condition. The overall permeability recovery was then compared with the permeability of the new fibers. A total of twenty-three lab-scale chemical cleanings with pencil modules were completed in the screening trial, including duplicates.

2.4 Full Factorial Design for RSM

The experimental results were reclassified according to the full factorial design and response surfaces were implemented using RStudio software (version 2024.04.2). The design aimed at revealing the impact of chemical concentration and temperature on the permeability of the membrane after cleaning. Four independent variables were chosen, including the concentration of CA (X1), concentration of NaOCl (X2), temperature (X3), and contact time (X4), to assess the effects of acidic and alkaline cleaning on the permeability of the cleaned module compared to the permeability of a new fiber (Y1) and determine any changes in permeability after cleaning compared to that of the new fiber (Y2) (Table 1). Since only experimental data were applied, X2 had a level of 3 and the other independents had a level of 2. A preferable formulation was derived from mathematical computations. In addition, surface plots and contour lines were drawn to visualize the effect of each independence. Variance Inflation Factors (VIFs) were evaluated for each term to check for multicollinearity. VIFs less than 5 were considered acceptable and indicated that multicollinearity was not severe.

3. Results and Discussion

3.1. Module Inspection and Fiber Analysis

The module was screened, and the fibers appeared dark brown. Black solids were found in the module bundle near the top of the filtrate pot and were assumed to be manganese complexes. The filtrate and aeration pots remained in good condition. In addition to examining the full module, the fiber samples were removed from the module and analyzed via SEM (Fig. 3). Cross-sectional SEM images of the module revealed typical virgin structured fibers. Close-up images of the fibers did not show any signs of internal membrane fouling. Surface SEM images also revealed a thin, widespread fouling layer on the membrane. The close-up surface SEM images primarily revealed traces of inorganic matter on the surface.
The EDS analysis was performed on a very small section of the surface. No foulant was found in the internal wall structure of the fibers. High concentrations of organic materials (C) were present in all fiber samples. Small amounts of inorganic materials, mainly aluminosilicates and manganese oxides, were found at 3 of map on the fiber surfaces. EDS scan results are presented in Table S2.

3.2. Efficacy of Acidic Cleaning for Permeability Recovery

Acid screening tests were performed to identify the most effective acidic cleaning condition. The effects of citric acid concentration, temperature, and chemical contact time on the efficacy of acidic cleaning were evaluated using these tests. A moderate increase in permeability recovery was observed after cleaning with 2.0% citric acid compared to that after cleaning with phosphoric acid (Fig. 4a). The average cleaning efficiency of phosphoric acid was only 12.4%. The improved average cleaning efficiencies with 0.1, 0.5, 1.0, and 2% citric acid and pH adjustment using phosphoric acid were 10.5, 12.2, 11.8, and 15.4%, respectively. The effects of temperature and chemical contact time on the citric acid cleaning efficiency were evaluated (Fig. 4b). All cleanings were conducted using 2.0% citric acid. The effect of increasing temperature from 20 to 40°C at a chemical contact time of 2 h on permeability recovery was observed, and the average cleaning efficiency was 14.7 and 19.7%. At a chemical contact time of 4 h, the average cleaning efficiencies were 13.7% at 20°C and 22.7% at 40°C. Extending the chemical contact time from 2 to 4 h had a minor effect on permeability recovery. However, noticeable improvements in permeability were observed at elevated temperatures. After four months of use, the mini-UF module showed the formation of the inorganic foulants containing manganese and aluminosilicate. Cleaning with citric acid achieved approximately 12% cleaning efficiency, which improved to 15% when the pH was adjusted to 2 using phosphoric acid. This indicates that citric acid effectively removed manganese ions through chelation while phosphoric acid-based optimization of the solution to pH 2 enhanced the dissolution of inorganic substances, such as manganese, thereby improving the cleaning efficiency. Overall permeability recovery was improved at elevated temperatures combined with extended chemical contact time; 2.0% citric acid at 40ºC and 4 h of contact time exhibited the optimum average permeability recovery.

3.3. Efficacy of Alkaline Cleaning for Permeability Recovery

Sodium hypochlorite screening trials were conducted to identify effective cleaning conditions. Fig. 4c shows the results of cleaning with sodium hypochlorite at different concentrations. The cleaning efficiency improved marginally with increase in NaOCl concentration. Sodium hypochlorite at 500, 1000, and 1500 mg/L showed cleaning efficiencies of 40.4, 40.5, and 46.4% based on 20 trials and a total chemical contact time of 2 h. When the contact time extended to 4 h, the cleaning efficiencies changed to 37.3, 39.3, and 44.3%. Significant improvement in permeability recovery was found when the solution temperature was increased from 20 to 40ºC, as the cleaning efficiency increased from 44.3 to 73.6% at the contact time of 4 h and NaOCl concentration of 1,500 mg/L. The raw water characterization analysis indicated that organic fouling was more dominant than inorganic fouling, which was further supported by the cleaning performance observed after alkaline cleaning. Sodium hypochlorite effectively solubilized organic matter through an oxidation-based mechanism and exhibited high cleaning efficiency under elevated concentrations and temperatures due to increased reaction rates. Further investigation into the characteristics of organic foulants is recommended through detailed analyses, such as analyses of the characteristics of organic compounds in the cleaning waste solution or FTIR analysis of the fouled and cleaned membranes. Sodium hypochlorite at a concentration of 1500 mg/L, temperature of 40ºC, and contact time of 4 h achieved the highest overall permeability recovery among all alkaline cleaning conditions tested.

3.4. Efficacy of Dual Chemical Cleaning for Permeability Recovery

Based on the screening trials of single step cleanings, further tests were conducted with several combinations of acidic and alkaline chemicals to compare cleaning efficacy of dual cleaning. Moreover, the effects of temperature and contact time of agents on the dual cleaning process were evaluated (Fig. 4d). Dual cleaning was performed using 10 post CIP pencil modules. Cleaning with sodium hypochlorite recovered most of the fiber permeability in all the test samples. The dual cleaning showed cleaning efficiency between 47.9 and 85.1%, while the second cleaning step with the alkali agents exhibited an efficiency between 35.4 and 61.7%. All dual cleans that included 1500 mg/L sodium hypochlorite showed excellent permeability recoveries, with the average cleaning efficiency of 76.9%. Dual clean with the optimal overall permeability recovery was established under high temperature and long contact time conditions: 2.0% citric acid, 40ºC, and 2–4 h of chemical contact time followed by 1500 mg/L sodium hypochlorite, 40ºC, and 4 h of chemical contact time achieved an average cleaning efficiency of 80.5%. On the optimal cases the contact time of the first step with CA had marginal impact on the permeability recovery.

3.5. Results of RSM Analysis

The RSM analysis based on full factorial design was performed using RStudio (v. 2024.04.2). The results showed that all data sets, except one with the independent factor of CA concentration, were best suited to the two-factor interaction model (2FI) (Table 2). To assess the significance of the model, four statistical parameters were considered at a 99% confidence level: F-value, P-value, R2, and adjusted R2. All models showed significance, with P-values less than 0.01, and the experimental F-values were more remarkable than the F-critical values. All terms showed VIFs between 1.0 and 1.2, indicating that the models did not have severe multicollinearity. Additionally, all R2 values were between 0.9 and 1.0, which revealed strong data fit between the experimental and predicted values [36].
Eq. (2) and (3) for Y1 showed that the agent concentration and temperature significantly affected the permeability of the cleaned module. The positive two-variable interactions of X2 and X3 (p<0.01, Table 2) indicated that an increase in these factors results in a higher alkaline cleaning efficiency (Fig. 5a, Fig. 5b). In addition, the positive linear interactions of X1 and X3 (p<0.01, Table 2) revealed that acidic cleaning could be improved with higher values of these factors (Fig. 5c, Fig. 5d).
(2)
Y1(Permeability of Alkali-CleanedModule Compared to New Fiber)=74.8333+4.1250X2+4.1667X3+2.8750X2X3
(3)
Y1(Permeability of Acid-Cleaned ModuleCompared to New Fiber)=58.7500+2.5000X1+2.25000X3
Eq. (4) for Y2 showed that the NaOCl concentration and temperature significantly affected the change in permeability, which was similar to Eq. (2). The positive two-variable interactions between X2 and X3 (p<0.001, Table 2), which are described in Eq. (4), are shown in Fig. 5e and Fig. 5f. Eq. (5) for Y2 showed that contact time and temperature are significant factors in the change of permeability via acidic cleaning. The positive two-variable interactions of X3 and X4 (p<0.001, Table 2) showed that a longer contact time and higher temperature improved the acidic cleaning (Fig. 5g, Fig. 5h).
(4)
Y2(Change of Permeability after AlakalineCleaning Compared to New Fiber)=25.6667+2.6250X2+4.6667X3+
(5)
Y2(Change of Permeability after AcidCleaning Compared to New Fiber)=8.2500+1.5833X3+0.4167X4+0.4167X3X4
Therefore, higher concentrations, contact times, and temperatures would be considered optimal conditions for chemical cleaning in the range of the experiment. The optimal cleaning protocol derived from the model was as follows: 2.0% citric acid, 40ºC, and 4 h followed by 1500 mg/L sodium hypochlorite, 40ºC, and 4 h.

3.6. Experimental Validation of the Dual Cleaning Protocol

A pilot test using a mini-UF (S10) was conducted to perform filtration, dual chemical cleaning, and post-cleaning hydraulic performance validations. The feed water to this trial unit was a blend of surface water and UF filtrate water to achieve a turbidity of 10–15 NTU. The trial unit replicated the CIP process of the UF S10 unit, including multiple cycles of soaking and recirculation with the CIP solution to achieve the target contact time. The operating flux during CIP was set to 40 LMH. The dual CIP was performed with 2.0% citric acid at 40ºC and 4 h and 1500 mg/L sodium hypochlorite at 40ºC and 4 h. The received module permeability was 236 LMH/Bar@20°C, which was higher than that expected from a module after 4 months of service without any chemical clean. Dual CIP recovered the module permeability to 285 LMH/Bar@20ºC, which is within the typical range of the permeability of a new module (Fig. 6a).
During the post-clean performance test, the pilot trial unit was set to typical operating conditions, including a flux of 60 LMH with a backwash interval of 20 min. Raw feed and filtrate blend were used to validate the post-cleaning performance. The turbidity of the blended feed ranged between 10 and 15 NTU. The TOC content of the blended feed was approximately 10 mg/L. Dual CIP achieved good permeability recovery and performed well during the post-CIP hydraulic performance test. No post-clean hydraulic issues were observed in this module. CIP-UF reduced the initial membrane resistance (Eq. (6)) by more than 20% compared to fouled UF (Fig. 6b). The comparison of the increased rate of filtration resistance per filtration cycle showed a lower fouling rate of 28%. It was confirmed that physical cleaning is better at recovering reversible membrane fouling in the performance of CIP-UF. The analysis of the changing pattern of filtration resistance according to the operation cycle showed that the fouling rate of CIP-UF was 0.225/h, which was 24.5% lower than that of fouled UF at 0.297/h. Additionally, the TMP increased during the filtration mode and the total operation period was delayed, indicating that the dual cleaning protocol was effective in minimizing the effect of reversible fouling.
(6)
R=TMP/μ·J
where J represents the permeate flux (m3/m2·s), represents the permeate viscosity (kPa·s), TMP represents the transmembrane pressure (kPa), R represents resistance (m−1).

4. Conclusions

This study performed a visual inspection and assessed various cleaning protocols applied to fibers sampled from a test mini-module, and the results demonstrated that the selected dual-cleaning protocol effectively restored the permeability and hydraulic performance of the membrane to levels similar to those of a new module. Analysis of membrane foulants revealed high concentrations of organic materials in the fiber samples and minor amounts of inorganic materials, such as aluminosilicates and manganese oxides. This resulted in heavy fouling, which was evident from the dark brown color and presence of black solid packing near the filtrate pot. Moderate permeability recovery was achieved through acidic cleaning, with a significant improvement observed with increased temperature and cleaning agent concentration. The most effective cleaning protocol involved the use of 2.0% citric acid at 40°C for 4 h, followed by treatment with 1,500 mg/L sodium hypochlorite under the same conditions. Developing models by RSM using full factorial design represented an appropriate method for optimizing membrane cleaning. The fitted models were significant, with p-values lower than 0.01, R2 values higher than 0.93, and experimental F-values higher than each critical F-value. The model indicated an improvement in cleaning efficiency as the chemical concentration, reaction temperature, and contact time increased. Overall, this study highlights the importance of tailored cleaning protocols based on detailed assessment of membrane conditions and selection of appropriate cleaning agents and conditions to ensure the optimal performance and longevity of membrane systems. In the field, regular chemical cleans with typical cleaning conditions should be adhered to, as missing an appropriate timing can lead to irreversible membrane fouling, resulting in decrease in hydraulic performance of the membrane.

Nomenclature

Symbol
Definition

X1

Concentration of CA (%)

X2

Concentration of NaOCl (mg/L)

X3

Temperature (°C)

X4

Contact Time (h)

Y1

Permeability of acid/alkaline cleaned module compared to new one (%)

Y2

Change of permeability after acid/alkaline cleaning (%)

J

Permeate flux (m3/m2·s)

μ

Permeate viscosity (kPa·s)

R

Resistance (m−1)

Supplementary Information

Notes

Acknowledgements

This research was supported by the Carbon Neutrality, a specialized program of the Graduate School through the Korea Environmental Industry & Technology Institute(KEITI) funded by Ministry of Environment(MOE, Korea). We extend our gratitude to Daewoo Engineering & Construction for providing the operational data.

Conflict-of-Interest

The authors declare that they have no conflict of interest.

Author Contribution

S.J.L. (Master’s student) contributed to investigation, methodology, data curation, writing - original draft, and visualization. J.Y.C. (Master’s student) contributed to resources, and validation. I.G.L. (Assistant professor) contributed to data curation and writing - review & editing. H.K.O. (Professor/Supervisor) contributed to conceptualization, project administration, supervision, and funding acquisition.

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Fig. 1
(a) Configuration of the pencil module for cleaning experiments. (b) Schematic diagram of the bench-scale filtration unit for pencil UF module test.
/upload/thumbnails/eer-2025-163f1.gif
Fig. 2
Design matrix of individual and hybrid cleaning protocols.
/upload/thumbnails/eer-2025-163f2.gif
Fig. 3
Scanning electron microscopy (SEM) images of fibers from the full module.
/upload/thumbnails/eer-2025-163f3.gif
Fig. 4
Permeability recovery results applied with different cleaning protocols; (a) Effect of concentration of acid agent on permeability recovery. (b) Effect of temperature and contact time on acidic cleaning efficiency. (c) Effect of NaOCl concentration, temperature and contact time on permeability recovery. (d) Permeability recovery by dual cleaning methods.
/upload/thumbnails/eer-2025-163f4.gif
Fig. 5
Surface and contour plots showing the influence of significant factors on responses. (a) Surface for the effect of X2 and X3, on Y1, (b) Contour for the effect of X2 and X3, on Y1, (c) Surface for the effect of X1 and X3 on Y1, (d) Contour for the effect of X1 and X3 on Y1, (e) Surface for the effect of X2 and X3 on Y2, (f) Contour for the effect of X2 and X3 on Y2, (g) Surface for the effect of X3 and X4 on Y2, and (h) Contour for the effect of X3 and X4 on Y2.
/upload/thumbnails/eer-2025-163f5.gif
Fig. 6
(a) Full module flux test under dual cleaning procedure. (b) Observations from the post-clean hydraulic performance validation.
/upload/thumbnails/eer-2025-163f6.gif
Table 1
Full factorial design for the optimization of chemical cleaning
Independent Variables (Studied Factors) Levels

Low High
X1: Concentration of CA (%) −1 (1) +1 (2)
X2: Concentration of NaOCl (mg/L) −1 (500) +1 (1500)
X3: Temperature (°C) −1 (20) +1 (40)
X4: Contact Time (h) −1 (2) +1 (4)

Dependent Variables (Responses) Targets

Y1: Permeability of acid/alkaline cleaned module compared to new one (%) Maximize
Y2: Change of permeability after acid/alkaline cleaning (%) Maximize
Table 2
Results of the full factorial analysis for different responses.
Responses Y1 Y2

Analysis Type Full Factorial Full Factorial Full Factorial Full Factorial
Fitted Model 2FI Linear 2FI 2FI
Significant Factors X2**, X3***, and X2X3** X1* and X3* X2*, X3*, and X2X3. X3***, X4**, and X3X4**
R2 0.95 0.99 0.95 0.9379
Adjusted R2 0.92 0.98 0.93 0.9209
Fstatistics 30.97 124.6 34 55.37
Fcritical 12.06 19 12.06 6.22
P-value 0.0012 0.0080 0.0009 < 0.0001
VIF X2: 1.125 X1: 1.200 X2: 1.125 X3: 1.050
X3: 1.000 X3: 1.200 X3: 1.000 X4: 1.050
X2X3: 1.125 X2X3: 1.125 X3X4: 1.050

Significance codes: 0 “***” 0.001 “**” 0.01 “*” 0.05 “.” 0.1 “ ” 1

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