In this study, modified Fe3O4@SiO2@PAC magnetic seeds were prepared to explore the separation efficiency and mechanism of algae and particles in high-turbidity ballast water under different influencing factors. The results showed that when the mass ratio of Fe3O4@SiO2 and PAC was 1:3, the removal rate of algae and turbidity was increased by 20 and 15.7% compared with the unmodified magnetic seed. When the dosage of magnetic seed was 217.5 mg/L, the stirring time was 129.2 s, the stirring speed was 211.6 r/min, and the pH was 8, the removal rates of turbidity and algae were 83.23 and 97.85%, respectively. The removal rates of algae and turbidity by the secondary magnetic seeds after compounding reached 97.8 and 96.57% of the first utilisation. Through scanning electron microscopy, transmission electron microscopy, and the adsorption kinetics model, it was found that the magnetic seed removed algae and turbidity through electrostatic adsorption generated by PAC. Among them, the role of SiO2 as an intermediate layer is to make PAC a better composite on the magnetic seed so that it can play the greatest role.

  • Fe3O4@SiO2@PAC is a new type of magnetic seed.

  • When the mass ratio of Fe3O4@SiO2 and PAC was 1:3, the removal rate of algae and turbidity increased by 20 and 15.7%.

  • After recovery, the removal rate of algae and turbidity by magnetic seed can reach 97.8 and 96.57% of the first use.

  • PAC plays an important role in magnetic flocculation separation.

  • As the middle layer, SiO2 can avoid the agglomeration of magnetic seeds.

Since the beginning of the 21st century, economic globalisation has flourished and the volume of global trade has been increasing, with maritime transport accounting for more than 90% of the total, and the environmental problems caused by ship transport have gradually emerged (Liu et al. 2019; Ivče et al. 2021; Sayinli et al. 2022). Currently, 12 billion tonnes of ballast water are transferred around the world by ship transport every year, and the algae, bacteria, and pathogens contained in ballast water and its sediments can have a huge impact on local biodiversity, causing a global economic loss of more than $100 billion per year (Apetroaei et al. 2018; Bradie et al. 2021). Therefore, the International Maritime Organisation convened an International Conference on Ballast Water Management in London in February 2004, at which the International Convention for the Control and Management of Ships' Ballast Water and Sediments (Ballast Water Convention) was adopted, aiming to reduce the environmental problems caused by the transfer of ballast water and sediments (Gerhard et al. 2019; Zhang et al. 2021).

Ballast water sediment pre-treatment is a prerequisite to ensure the effective inactivation of subsequent microorganisms (Hyun et al. 2021), and currently, the main method used is the mechanical method (Kumar et al. 2021; Guney. 2022). Among them, the mechanical methods are subdivided into filtration, cyclone separation, and magnetic separation (Chai et al. 2018). The filtration method suffers from inefficiency, easy clogging, and high demand for space and technology (He et al. 2021; Stang et al. 2022). Hydrocyclone has an extremely limited ability to remove phytoplankton such as algae at low density in ballast water and cannot be used alone for ballast water pre-treatment (Lakshmi et al. 2021). Magnetic separation technology mainly uses the flocculation and adsorption abilities of magnetic seeds to remove particles and phytoplankton from ballast water (Ringler et al. 2018; Cui et al. 2020). Currently, high-gradient magnetic separation (HGMS) has been playing an important role in ballast water treatment (Ren et al. 2017). Using a combination of HGMS and ultraviolet (UV) technology, Ren et al. demonstrated that the inactivation of microorganisms by the HGMS-UV composite process was more than 99% at a ballast water turbidity of 70 nephelometric turbidity units (NTU) (Ye 2012; Ren et al. 2016). Magnetic seed is an important component in HGMS and plays an important role in ballast water pre-treatment. Lu et al. prepared magnetic seed using wheat straw, and the removal rates were 96, 60, 98, and 96% for algae, organic matter, bacteria, and coliforms, respectively, at a ballast water turbidity of 50 NTU (Lu et al. 2018). Lv et al. combined polyaluminum chloride (PACl) and magnetic particles composite to prepare magnetic polyaluminium chloride (MPACl), which was then mixed with polyacrylamide (PAM) and showed 97% particle removal for low turbidity (20 NTU) ballast water (Lv et al. 2019). Although HGMS has been studied in the field of ballast water pre-treatment, the following problems still exist. First, the magnetic separation efficiency of the existing magnetic seeds for pollutants in high-turbidity ballast water is limited, and there are relatively few studies on the treatment effect (Wang et al. 2011; Yuan et al. 2021), and at the same time, there is a lack of a combination of material characterisation and adsorption kinetics to analyse the adsorption mechanism of the magnetic seeds, which results in an unclear removal mechanism for pollutants in high-turbidity ballast water (Elcicek & Guzel 2020; Liu & Lu 2022). On the other hand, the low reuse rate of the existing magnetic seeds does not meet the economic requirements, limiting the practical application of magnetic seeds (Li et al. 2020; Proskurina et al. 2023).

Therefore, in this study, modified Fe3O4@SiO2@PAC magnetic seeds were prepared for high-turbidity ballast water using sol–gel and other methods, and the effects of magnetic seed dosing, stirring time, and stirring speed on the magnetic separation efficiency of algae and particulate matter in ballast water were investigated. By re-coating the magnetic seeds after ultrasonic separation, the reuse rate of the magnetic seeds was improved to meet the requirements of economic and practical type. On this basis, scanning electron microscope (SEM), transmission electron microscope (TEM), and adsorption kinetics were used to analyse the reasons for the increased removal rate of pollutants by the modified magnetic seeds, and the removal mechanism of algae and particulate matter by the modified magnetic seeds in ballast water pre-treatment was revealed, which realised the high-efficiency treatment of high-turbidity ballast water.

Magnetic seed preparation and recovery

Fe3O4@PAC preparation

Fe3O4 and PAC were compounded using the sol–gel method (Soares et al. 2016). 0.5 g of nano-Fe3O4 was weighed in a beaker, 50 mL of deionised water dispersed in an ultrasonic disperser was added, and set aside to obtain solution A. 0.5 g of sodium carboxymethylcellulose thickener in 50 mL of deionised water was dissolved and stirred for 30 min in a water-bath shaker at 38 °C at 300 r/min to obtain solution B. 1.5 g of PAC was dissolved in 30 mL of the solution C, which was dispersed in an ultrasonic disperser for 15 min, then the solution A was slowly poured in, stirred with a glass rod, and ultrasonicated in an ultrasonic disperser for 20 min. The gelatinous material was poured into a petri dish and dried in a blow drying oven at 60 °C for 24 h. After removal, it was fully milled to obtain nano-Fe3O4@PAC magnetic seeds.

Fe3O4@SiO2@PAC preparation

Fe3O4@SiO2 composite was prepared by the Stober method, and then Fe3O4@SiO2 was combined with PAC by the sol–gel method to prepare modified Fe3O4@SiO2@PAC magnetic seeds (Gong & Tang 2020). 1 g nano-Fe3O4 was weighed and put it into a conical bottle, 500 mL anhydrous ethanol and 300 mL deionised water was added, ultrasonic dispersed for 40 min, 100 mL ammonia water was added, and then 50 mL ethyl orthosilicate (TEOS) was added after ultrasonic dispersal for 10 min. It was then stirred in a water-bath oscillating chamber at 30 °C at a speed of 300 r/min for 8 h. The resulting product was cleaned with deionised water and anhydrous ethanol three times each using a magnet, then poured into a petri dish and dried in a blast drying oven at 60 °C for 12 h. After taking it out, the product was fully ground to obtain nano-Fe3O4@SiO2 composite material.

1 g Fe3O4@SiO2 was weighed and put into a conical bottle, 500 mL anhydrous ethanol was added, and dispersed by ultrasonic for 10 min. 5 mL silane coupling agent was added and stirred in a water-bath oscillating chamber at 30 °C for 12 h. It was then washed with deionised water and anhydrous ethanol three times each. 500 mL deionised water and 300 mL anhydrous ethanol were added to the treated Fe3O4@SiO2 and ultrasonicated for 5 min. 5 g polyvinylpyrrolidone was added, ultrasonic dispersed for 20 min, a certain amount of PAC was added, and stirred in a water-bath oscillating tank at 50 °C for 12 h. The obtained product was cleaned with deionised water and anhydrous ethanol three times each using a magnet, then poured into a petri dish and dried in a blast drying oven at 60 °C for 12 h. After taking it out, it was ground well to get Fe3O4@SiO2@PAC magnetic seed.

Fe3O4@SiO2 composites were prepared using the Stöber method, and then modified Fe3O4@SiO2@PAC magnetic seeds were produced by compositing Fe3O4@SiO2 with PAC using the sol–gel method (Gong & Tang 2020). 1 g of nano-Fe3O4 was weighed into a conical flask, 500 mL of anhydrous ethanol and 300 mL of deionised water was added, ultrasonically dispersed for 40 min adding 100 mL of ammonia, ultrasonically dispersed for 10 min and then 50 mL of ethyl orthosilicate (TEOS) was added, and placed it into a water-bath oscillator at 30 °C at a rotational speed of 300 r/min for 8 h. The obtained products were washed three times each with deionised water and anhydrous ethanol using a magnet, poured into Petri dishes, and dried in a blast oven at 60 °C for 12 h. After removal, they were fully milled to obtain the nano-Fe3O4@SiO2 composites.

1 g of Fe3O4@SiO2 was weighed into a conical flask, 500 mL of anhydrous ethanol was added, and ultrasonically dispersed it for 10 min. 5 mL of silane coupling agent was added, it was stirred in a water-bath shaking box at 30 °C for 12 h, and it was washed with deionised water and anhydrous ethanol three times each. 500 mL of deionised water and 300 mL of anhydrous ethanol was added to the treated Fe3O4@SiO2, sonicated for 5 min, 5 g of polyvinylpyrrolidone was added, sonicated, and dispersed for 20 min, a certain amount of PAC was added, it was put into a water-bath oscillation box at 50 °C, and stirred for 12 h. The products obtained were washed three times each with deionised water and anhydrous ethanol using a magnet, poured into a Petri dish, and dried in a blower-type drying oven at 60 °C for 12 h. After removal, they were ground sufficiently to obtain Fe3O4@SiO2@PAC magnetic seeds.

Magnetic seed recovery

After the magnetic flocculation separation was completed, the device was cleaned with backwash water, the flocs in the backwash water were collected with a magnet, and the deionised water was reintroduced and placed in a beaker. The beaker was placed in an ultrasonic cleaner for different lengths of time, and immediately after ultrasonication, the bottom of the beaker was sucked with a magnet, the supernatant was poured off, washed with deionised water for three times, and placed in an oven for drying and grinding (Shen et al. 2013).

The experimental steps of 2.1.2 were repeated and the recovered magnetic seeds were re-coated with PAC.

Ballast water configuration

The algae used in this experiment are: Karenia mikimotoi, Chaetoceros gracilis, and Prorocentrum donghaiense. Algae species were all wet algae, purchased from the algae species bank of the First Institute of Oceanography, Ministry of Natural Resources, and the algae were used for experiments through activation and expansion. The seawater was pumped through a 0.22 μm aqueous filter membrane, and three types of algae were added to the pumped seawater in equal proportions, resulting in a final algal concentration of 5,000 cells/mL. Since the density of quartz sand is similar to the density of particulate matter such as mud and sand in ballast water and sediment, quartz sand is used instead of solid particles in ballast water and sediment. 15, 40, and 75 μm quartz sands were added in the ratio of 5:4:1, resulting in a final mixture with a turbidity of 500 NTU.

Experimental setup and experimental programme

In this study, the modified magnetic seeds were used to investigate the removal of algae and particulate matter from high-turbidity ballast water and compared with the pre-modified seeds using the setup shown in Figure 1. First, the modified magnetic seeds were made with different mass ratios of Fe3O4@SiO2 and PAC as 1:0, 1:1, 1:2, 1:3, 1:4, 1:5, 1:6, 1:7, and 1:8, respectively, and then the pre-modified and post-modified magnetic seeds were used with the same mass ratios for the comparison of algal and turbidity removal rates. A certain amount of magnetic seeds was added so that the magnetic seeds dosage in ballast water was 150 mg/L, and the magnetic field strength was set at 0.25 T, the stirring speed at 250 r/min, and the stirring time at 120 s. The hydraulic retention time was controlled to be 180 s through the pump valve, and the samples were sampled and examined at the outlet.
Figure 1

Experimental device diagram.

Figure 1

Experimental device diagram.

Close modal

Finally, the single-factor experiment was carried out. By controlling the single variable method, the effects of magnetic seed dosage (50, 100, 150, 200, 250, and 300 mg/L), stirring time (30, 60, 90, 120, 150, and 180 s), and stirring speed (50, 100, 150, 200, 250, and 300 r/min) on the removal rate of algae and turbidity were investigated. Based on 150 mg/L, 120 s, and 250 r/min, respectively. The effluent was sampled and tested when the hydraulic retention time was 30, 60, 90, 120, 150, and 180 s.

Detection methods

0.1 mL of the liquid to be measured was taken and counted by biomicroscopic observation, three parallel samples were tested for each sample, and the final average value A was taken (Kydd et al. 2018). The sample to be tested was measured with a turbidimeter and three measurements were taken to take the average B (Bright et al. 2018).

Response surface analysis

A Box–Behnken design experiment (Adachi et al. 2023) was used to obtain the best combination of parameters for algae and turbidity removal using response surface analysis of magnetic seed dosage, stirring speed, and stirring time affecting algae and turbidity removal in magnetic flocculation separation. The level values of magnetic seed dosage, stirring speed, and stirring time were selected as the best values of each factor in the single-factor experiment, and the specific level values are shown in Table 1.

Table 1

Response surface experimental factors and level values

Experimental factorsLevel values
Magnetic seed dosage (mg/L) 150 200 250 
Mixing time (s) 90 120 150 
Mixing speed (r/min) 200 250 300 
Experimental factorsLevel values
Magnetic seed dosage (mg/L) 150 200 250 
Mixing time (s) 90 120 150 
Mixing speed (r/min) 200 250 300 

Adsorption kinetics

Adsorption kinetics was used for experimental fitting verification and mechanism analysis, and three kinetic models were adopted: pseudo-first-order, pseudo-second-order, and the Elovich model (Supriya & Palanisamy 2017; Karyab et al. 2023).
(1)
(2)
(3)

In Equations (1)–(3), qe (mg/g), qt (mg/g), k (min−1), k2 (g/mg·min), α (mg/g·min), and β (g/mg) represent, respectively, the absorption capacity at equilibrium, the absorption capacity at time t, the absorption rate constant of the pseudo-first-order kinetic model, the absorption rate constant of the pseudo-second-order kinetic model, the initial adsorption rate, and the desorption constant during any experiment. Where, qe = (C0−Cf)V/M, C0 represents the initial concentration of the mixture of particles and algae (mg/L), Cf represents the final concentration of the mixture of particles and algae (mg/L), V represents the volume of the solution (L), and M represents the amount of magnetic seeds (g).

Modified magnetic seed preparation

Separation efficiency of modified Fe3O4@SiO2@PAC magnetic seeds on ballast water sediments

Figure 2 shows the effect of magnetic seeds prepared with different Fe3O4@SiO2 and PAC mass ratios on algae and turbidity removal. When the ratio of Fe3O4@SiO2 and PAC was 1:0, both algae and turbidity removal were less than 20%. As the PAC composite ratio increased, the turbidity removal rate showed a trend of increasing and then decreasing, with the highest turbidity removal rate of 76.625% at a ratio of 1:3. Similarly, the algae removal rate reached a maximum of 93.5% at a Fe3O4@SiO2 and PAC mass ratio of 1:3, followed by a slight decrease. Thus the optimum mass ratio of Fe3O4@SiO2 and PAC is 1:3. Figure 3 shows the removal of algae and turbidity by the two magnetic seeds before and after improvement. From the figure, it can be seen that the improved magnetic seeds have a greater improvement in algae and turbidity removal than the pre-improved magnetic seeds, with a 20% increase in algae removal and a 15.7% increase in turbidity removal.
Figure 2

Investigation of algae and turbidity removal by modified Fe3O4@SiO2@PAC magnetic seeds.

Figure 2

Investigation of algae and turbidity removal by modified Fe3O4@SiO2@PAC magnetic seeds.

Close modal
Figure 3

Comparison of algae and turbidity removal by magnetic seeds before and after modification.

Figure 3

Comparison of algae and turbidity removal by magnetic seeds before and after modification.

Close modal

In the study, the difference between the degree of PAC and Fe3O4@SiO2 composite for algae and turbidity removal is huge, which indicates that PAC plays an important role in algae and turbidity removal. The surfaces of Fe3O4@SiO2 and algae or particles are negatively charged, which cannot produce flocculation and sedimentation through electrostatic adsorption. The PAC composite on Fe3O4@SiO2 can make the surface of the magnetic seeds have a positive charge, through electro-neutralisation and adsorption to achieve the removal of algae and turbidity. When the proportion of PAC composite is small, it fails to reach the threshold of flocculation, so the removal rate of algae and turbidity is low. As the proportion of PAC composite increased, the removal rate of algae and turbidity gradually increased. When the proportion of PAC was too large, it resulted in a thicker PAC layer of the magnetic seed, and some of the flocs might not be adsorbed by the magnetic medium. Due to the algae and turbidity detection method, the unadsorbed flocs flowed out of the outlet, resulting in a larger decrease in turbidity removal rate, while the algae on the flocs were not counted, resulting in a small change in algae removal rate. Therefore, in this study, the mass ratio of Fe3O4@SiO2 and PAC of 1:3 were taken as the magnetic seeds for subsequent investigations.

Effect of different influencing factors on algae and turbidity removal rate

Effect of magnetic seed dosage on algae and turbidity removal rate

Six different gradients of magnetic seed dosage were used to investigate the effects on the removal of algae and turbidity at a stirring time of 120 s and a stirring speed of 200 r/min. Figure 4 shows the removal rates of algae and turbidity by the six magnetic seed dosages. At a hydraulic retention time of 180 s, the lowest algal and turbidity removals of 82.5 and 59%, respectively, were obtained with a magnetic seed dosage of 50 mg/L. With the increase in the magnetic seed dosage, the removal rate of algae and turbidity increased. When the magnetic seed dosage was 200 mg/L, the removal rate reached the highest, 98.2 and 82.02%, respectively. When the dosage of magnetic seeds continued to increase, the removal rate decreased. It proved that the high magnetic seed dosage could not improve the removal rate of algae and turbidity, but would affect the removal rate.
Figure 4

Effect of magnetic seed dosage on removal rate. (a) Algal removal rate; (b) turbidity removal rate.

Figure 4

Effect of magnetic seed dosage on removal rate. (a) Algal removal rate; (b) turbidity removal rate.

Close modal

Some studies have shown that there exists an optimal dosage of magnetic seeds, and the magnetic flocculation effect will be enhanced only within a certain range as the dosage of magnetic seeds increases, and when too much is dosed, it will cause the re-stabilisation phenomenon of the system, which will lead to a decrease in the flocculation effect (Li & Wang 2016). When the magnetic seed dosage was 50 mg/L, the PAC content in the solution was the lowest, resulting in some algae and particles failing to be adsorbed by electrostatic adsorption. With the increase of magnetic seed, PAC in the solution increased, and more algae and particles were removed by adsorption; while when there was too much PAC in the solution, it would make the surface of algae and particles change from negative to positive charge, which led to a decrease in the electro-neutralisation and adsorption, and thus a decrease in the removal rate of algae and turbidity.

Effect of stirring time on algae and turbidity removal rates

Six different gradient stirring times were used to investigate their effects on the removal of algae and turbidity at a magnetic seed dosage of 150 mg/L and a stirring speed of 200 r/min. Figure 5 shows the removal rates of algae and turbidity for the six stirring times. At a hydraulic retention time of 180 s, the lowest algal and turbidity removals of 71.2 and 66.95%, respectively, were obtained with a stirring time of 30 s. As the stirring time increased, the removal rate of algae and turbidity increased. When the stirring time was 120 s, the removal rate reached the highest, which was 94.4 and 77.3%, respectively. However, as the stirring time continued to increase, the removal rate decreased. This proves that both too little and too much stirring time are detrimental to the removal efficiency. In addition, comparing Figure 5(a) and 5(b), it can be found that the stirring time has a greater effect on the algal removal rate, which proves that adequate stirring is more necessary for the removal of algae.
Figure 5

Effect of stirring time on removal rate. (a) Algal removal rate; (b) turbidity removal rate.

Figure 5

Effect of stirring time on removal rate. (a) Algal removal rate; (b) turbidity removal rate.

Close modal

The experimental results show that there is an optimal stirring time for algae and turbidity removal. When the stirring time is short, the magnetic seeds, algae, and particles are not evenly dispersed in the solution, and the magnetic seeds cannot make sufficient collisions with algae and particles in the solution, and only a small amount of algae and particles are adsorbed by the magnetic seeds to form flocs, which affects the removal rate; when the stirring time is too long, a large amount of algae and particles are adsorbed by the magnetic seeds to form flocs with larger diameters, which increases the shear force on them. When the stirring continues, the shear force on the flocs is greater than the electrostatic adsorption force between the flocs, resulting in the flocs breaking up and re-dispersing into the solution, causing the removal rate to decrease. In addition, substances with larger particle sizes are more likely to collide in an agitated solution. Since the diameter of algae is smaller than the diameter of particles, the flocculation of algae is more affected by the stirring time, resulting in a large difference in the algae removal rate between insufficient stirring and optimal stirring time.

Effect of stirring speed on algae and turbidity removal rates

Six different gradient stirring speeds were used to investigate their effects on the removal of algae and turbidity at a magnetic seed dosage of 150 mg/L and a stirring time of 120 s. The results are shown in Figure 6, which shows the effect of six stirring speeds on the removal of algae and turbidity. Figure 6 shows the removal rates of algae and turbidity for the six stirring speeds. At a hydraulic retention time of 180 s, the stirring speed of 50 r/min resulted in the lowest algal and turbidity removals of 61.5 and 63.38%, respectively. With the increase in stirring speed, the removal rate of algae and turbidity also increased. When the stirring speed reached 200 r/min, the removal rate reached the highest, which was 94.4 and 77.3%, respectively. When the stirring speed was continued to be increased, the removal rate decreased. It was proved that both smaller and larger stirring speeds were unfavourable for the removal of algae and turbidity. A comparison of Figure 6(a) and 6(b) shows that the stirring speed has a greater effect on the algae removal rate compared to the turbidity removal rate, and comparison of Figures 4(a), 5(a), and 6(a) show that the stirring speed has a greater effect on the algae removal rate.
Figure 6

Effect of stirring speed on removal rate. (a) Algal removal rate; (b) turbidity removal rate.

Figure 6

Effect of stirring speed on removal rate. (a) Algal removal rate; (b) turbidity removal rate.

Close modal

The experimental results show that there exists an optimal stirring speed that allows the removal of algae and turbidity to be maximised. Lower stirring speeds do not allow the magnetic seeds, algae, and particles to be evenly dispersed in the solution, resulting in a lower chance of collision between the algae and particles and the magnetic seeds, which leads to a lower removal rate; while when the stirring speed is too high, the previously precipitated flocs will be re-coiled, which are broken and re-dispersed into the solution by the action of a larger shear force, resulting in a lower removal rate. Compared to particles, algae have smaller diameters and therefore require a larger stirring speed to better collide with the magnetic seeds and form flocs.

Response surface analysis for maximum algal and turbidity removals

The response surface plots for algae and turbidity removal rates are shown in Figures 7 and 8, respectively, and Figures 7 and 8(a)9(c) show the two-by-two interactions of magnetic seed dosing with stirring time, magnetic seed dosing with stirring speed, and stirring time with stirring speed, respectively. As can be seen from Tables 2 and 3, the model R2 for algae removal rate is 0.9993 and the model R2 for turbidity removal rate is 0.9990, indicating that both models have high accuracy. Using the regression equation established by the response surface experiment for mathematical calculation, when the magnetic seed dosage is 209.6 mg/L, the stirring time is 125.1 s, and the stirring speed is 221.8 r/min, the highest algae removal rate is 98.73% at this time; when the magnetic seed dosage is 217.5 mg/L, the stirring time is 129.2 s, and the stirring speed is 211.6 r/min, the maximum removal rate of turbidity is obtained at this time. The maximum removal rate of turbidity was 83.23%, and the corresponding algae removal rate was 97.85%. This experiment simulates real seawater to get the approximate level where the optimal separation parameters are located, which can exclude the uncertain interference factors brought by the real seawater in different sea areas and provide certain theoretical references for the future treatment of different real seawater.
Table 2

Response surface model analysis of algae removal rate

Std.DevMeanR2Adjusted R2C.V.%Predicted R2Adeq precision
0.2023 91.92 0.9993 0.9984 0.2201 0.9900 97.015 
Std.DevMeanR2Adjusted R2C.V.%Predicted R2Adeq precision
0.2023 91.92 0.9993 0.9984 0.2201 0.9900 97.015 
Table 3

Response surface model analysis of turbidity removal rate

Std.DevMeanR2Adjusted R2C.V.%Predicted R2Adeq precision
0.2330 76.57 0.9990 0.9976 0.3042 0.9950 77.410 
Std.DevMeanR2Adjusted R2C.V.%Predicted R2Adeq precision
0.2330 76.57 0.9990 0.9976 0.3042 0.9950 77.410 
Figure 7

Response surface plot of algae removal rate. (a) Dosage and mixing time; (b) dosage and mixing speed; (c) mixing time and speed.

Figure 7

Response surface plot of algae removal rate. (a) Dosage and mixing time; (b) dosage and mixing speed; (c) mixing time and speed.

Close modal
Figure 8

Response surface method for turbidity removal rate. (a) Dosage and mixing time; (b) dosage and mixing speed; (c) mixing time and speed.

Figure 8

Response surface method for turbidity removal rate. (a) Dosage and mixing time; (b) dosage and mixing speed; (c) mixing time and speed.

Close modal

Recovery and reuse of magnetic seeds

As shown in Figure 9, the algal removal and turbidity removal of the magnetic seeds that were separated and reused after 2 min of sonication were only 50 and 80% of the first time. With the increase of sonication time, the reuse for algae and turbidity removal increased first and then decreased. The reason for this is that as the ultrasonication time increases, not only the particles and algae are detached from the surface of the magnetic seeds, but also the PAC is gradually detached, resulting in a lower removal rate when reused. After the magnetic seed after ultrasonic separation was re-coated with PAC, the removal and reuse rate of algae and turbidity could reach more than 96%. As shown in Figure 10, compared with the first removal rate, the algae and turbidity removal rate can still reach more than 85% when used for the fourth time, and the subsequent application can be considered and unused magnetic seeds for mixing and using, in order to reduce the cost and improve the removal rate, so as to realise the green recycling of the magnetic seeds in the magnetic separation, and the lasting and efficient reuse.
Figure 9

Reuse rate compared to the first time when recycling once recovered. (a) Influence of different sonication times on algal removal during secondary utilisation. (b) Influence of different sonication times on turbidity removal during secondary utilisation.

Figure 9

Reuse rate compared to the first time when recycling once recovered. (a) Influence of different sonication times on algal removal during secondary utilisation. (b) Influence of different sonication times on turbidity removal during secondary utilisation.

Close modal
Figure 10

Comparison of the first removal rate for different number of applications.

Figure 10

Comparison of the first removal rate for different number of applications.

Close modal

Mechanism analysis

SEM

Figure 11 shows the pictures of the magnetic seeds before and after modification under 10,000× SEM. Compared with Fe3O4@PAC, the improvement of Fe3O4@SiO2@PAC lies in the addition of a layer of SiO2 between Fe3O4 and PAC, and the microscopic characterisation of the two kinds of magnetic seeds by SEM reveals that the seeds without the addition of the SiO2 layer are larger, with different shapes, and with serious agglomeration phenomenon (Figure 11(a)); while after the addition of the SiO2 layer, the seeds made are all in regular spherical shape, with uniform particle size and smooth surface (Figure 11(b)), regular spherical shape, uniform particle size and smooth surface (Figure 11(b)). It is known from 3.1.1 that PAC plays an important role in magnetic flocculation, and directly attaching PAC to Fe3O4 will lead to uneven thickness and serious agglomeration phenomena, which makes the removal efficiency of algae and turbidity lower. While using SiO2 as the intermediate composite material on the one hand can be made into Fe3O4@SiO2 nano-microspheres, making PAC uniformly attached to it; on the other hand, the use of silane coupling agent on the surface modification of SiO2 can increase the compound effect of Fe3O4@SiO2 nano-microspheres on the polymer PAC, which can make the removal rate of algae and turbidity greatly improved.
Figure 11

10,000× SEM electron microscope scans. (a) Fe3O4@ PAC and (b) Fe3O4@SiO2@PAC.

Figure 11

10,000× SEM electron microscope scans. (a) Fe3O4@ PAC and (b) Fe3O4@SiO2@PAC.

Close modal

TEM

Figure 12(a)–12(c) shows the pictures of Fe3O4, Fe3O4@SiO2, and Fe3O4@SiO2@PAC, respectively, which were taken under a 100,000× transmission electron microscope. From Figure 12(a), it can be seen that the morphology of Fe3O4 is irregular polyhedra with a particle size between 50 and 70 nm; in Figure 12(b), it can be seen that the composite product formed by taking the irregular Fe3O4 as the magnetic core and coating a layer of SiO2 on the outside exhibits a microsphere-like shape, with a particle size of about 65–85 nm, which does not have a large influence on the magnetic properties of the composite product due to the thin SiO2 layer; in Figure 12(b), it is seen that the composite product is formed by using irregular Fe3O4 as the magnetic core and covering a layer of SiO2 on the outside. Due to the thin layer of SiO2, the magnetic properties of the composite product are not greatly affected; in Figure 12(c), we can see the three-layer structure, the inner layer of irregular material is the magnetic core of Fe3O4, the middle layer is SiO2, and the outermost layer is the PAC, with a particle size of 80–100 nm. TEM can show more intuitively that the SiO2 as the intermediate layer can make the PAC better composite on the magnetic seeds to achieve a better flocculation effect.
Figure 12

100,000× TEM projection electron micrographs. (a) Fe3O4, (b) Fe3O4@SiO2, and (c) Fe3O4@SiO2@PAC.

Figure 12

100,000× TEM projection electron micrographs. (a) Fe3O4, (b) Fe3O4@SiO2, and (c) Fe3O4@SiO2@PAC.

Close modal

Adsorption kinetics

The experimental data were imported into the kinetic model for fitting, and the fitting results of the three models are shown in Figures 1315. Their R2s are 0.873, 0.998, and 0.968, respectively, and the pseudo-second-order kinetic model obviously has a better fitting effect compared with the pseudo-first-order kinetic model and the Elovich model.
Figure 13

Pseudo-first-order dynamics model.

Figure 13

Pseudo-first-order dynamics model.

Close modal
Figure 14

Pseudo-second-order kinetic model.

Figure 14

Pseudo-second-order kinetic model.

Close modal
Figure 15

Elovich kinetic model.

Figure 15

Elovich kinetic model.

Close modal

The pseudo-first-order kinetic model, based on the assumption that adsorption is controlled by a diffusion step, refers to an adsorption process in which there is a linear relationship between the rate of adsorption and the concentration of the magnetic seeds, i.e., as the concentration of the magnetic seeds decreases leading to a decrease in the rate of adsorption. The pseudo-second-order kinetic model, on the other hand, assumes that the adsorption rate is determined by the squared value of the number of unoccupied adsorption vacancies on the surface of the magnetic seeds, and that the adsorption process is governed by a chemisorption mechanism, which involves the sharing and transfer of electrons between the magnetic seeds and the adsorbed material. The Elovich kinetic model describes a series of processes by a series of reaction mechanisms, and is adapted to the reaction processes with a large change in the activation energy processes. Therefore, we can determine that the experimental mechanism of algae and turbidity removal is electrostatic adsorption due to electron transfer between algae and particles and magnetic seeds. This also verifies the previous conjecture that by compounding PAC on Fe3O4@SiO2, we changed the surface of the magnetic seeds from negative charge to positive charge, and the surface of algae and particles in the solution were negatively charged, and electrostatic adsorption took place after they were fully contacted by stirring, which led to the removal of algae and particles.

The modified magnetic seeds Fe3O4@SiO2@PAC had the highest removal rate of algae and turbidity when Fe3O4@SiO2 and PAC were 1:3, and compared with the magnetic seeds Fe3O4@PAC before modification, the removal rate of algae increased by 20%, and the removal rate of turbidity increased by 15.7%. With the increase of magnetic seed dosage, stirring time and stirring speed, the removal rate of algae and turbidity showed a trend of increasing and then decreasing. In order to reduce the influence of turbidity on the inactivation efficiency of the subsequent inactivation unit, we should choose the operating parameters of the magnetic seed dosage of 217.5 mg/L, the stirring time of 129.2 s, and the stirring speed of 211.6 r/min, and at this time, the maximum removal rate of turbidity was 83.23%, and the removal rate of algae was 97.85%. After separating the flocs, the magnetic seeds were recovered by ultrasonication for 2 min, and after recovery, the magnetic seeds were re-coated with PAC, and the second reuse of the magnetic seeds achieved 97.8 and 96.57% removal of algae and turbidity for the first time. After the fourth reuse, more than 85% of the first time was still achieved. According to the SEM, TEM, and adsorption kinetic analysis, it can be known that the modified magnetic seed removes algae and turbidity through the electrostatic adsorption generated by PAC, in which SiO2 acts as an intermediate layer to make the PAC better compounded on the magnetic seed, so as to allow it to play a maximum role.

We are deeply grateful to the editors and reviewers for their guiding suggestions and other efforts to improve this manuscript.

J.Y. and Z.L. conceptualized the whole article. J.Y. developed the methodology, H.S., J.Y., and J.Z. rendered support in formal analysis. C.Z. rendered support in investigation. Y.S. developed the resources. Q.L. and F.D. rendered support in data curation. J.Y. wrote the original draft preparation. H.S., J.Z., and J.Y. wrote the review and edited the article. C.L. developed the visualisation. Y.S. and Z.L. rendered support in funding acquisition. All authors have read and agreed to the published version of the manuscript.

This research was financially supported by the National Natural Science Foundation of China (52171347), the Natural Science Foundation of Shandong Province (ZR2023QE073), the Natural Science Foundation of Heilongjiang Province (LH2023E070) and the Qingdao Natural Science Foundation (23-2-1-97-zyyd-jch).

All relevant data are available from an online repository or repositories.

The authors declare there is no conflict.

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Author notes

These authors contributed equally to this work and should be considered co-first authors.

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