## Introduction

Scale deposits in water systems of industrial plants and domestic facilities often cause significant technical problems and economic loss through blocking the flow of water in pipes, reducing efficiency in desalination processes, and decreasing thermal transfer in heat exchangers1,2,3,4,5,6. Commonly encountered scales in water systems are CaCO3, CaSO4, SrSO4, BaSO4, CaF2, Ca3(PO4)2, silica, and silicates. Scaling occurs when the concentration of a sparingly soluble salt exceeds its solubility in water. It usually results from changes in pH, temperature, outgassing or pressure that impact the solubility of the salts7,8, and a concentration or evaporation process. For instance, when the water temperature increases, the solubility of CaCO3 decreases which results in precipitation onto heated surfaces.

The formation of scale is primarily dependent on feed water chemistry. Common types of scale can be categorized into alkaline (e.g., CaCO3), non-alkaline (e.g., CaSO4), and silica based9,10. CaCO3 is the most common constituent of scale coming from calcium and bicarbonate ions in surface water, groundwater, brine, and industrial water11,12. Other scale forming salts involve a variety of compounds with low solubility in water, such as MgCO3, BaSO4, Fe2(CO3)3, iron oxides, silicates, fluorides, and phosphates7,13. The common hardness, i.e., CaCO3 crystallizes in three different crystal forms: calcite, aragonite, and vaterite14,15. Calcite usually leads to harder scale while aragonite and vaterite form softer scales that are easier to be removed16,17,18,19. CaSO4 and Ca3(PO4)2 are common scale constituents in groundwater and wastewater, respectively. Silica and silicates are typically amorphous silicic acid [Si(OH)4] with hydroxide forms of metals, most commonly related to Al, Fe, Mg, and Ca20,21. The silica layer resulting from supersaturation and polymerization of soluble silica is sticky and hard to eliminate11.

Scale formation comprises complex phenomena involving supersaturation, nucleation, crystallization, and precipitation7,22,23. Crystals generate after supersaturation and nucleation, then grow from solution, but supersaturation is not sufficient for the crystallization of a solution7. In other words, the presence of particles, nuclei or seeds in a solution to provide crystallization sites is essential for crystal growth. For example, when CaCO3 seeds generate and start to precipitate, other slight solubility salts, like barium and strontium, often co-precipitate with CaCO3 even though they have not reached saturation. Nucleation can be initiated through various approaches such as agitation and seeding24,25. Scale formation occurs via two crystallization pathways, surface crystallization and bulk crystallization, which are also referred as heterogeneous crystallization and homogeneous crystallization, respectively7,9,26,27. Surface/heterogeneous crystallization takes place owing to the lateral growth of the scale seeds entrapped in cavities such as the walls of the vessel containing the solution7. Bulk/homogeneous crystallization occurs when crystal seeds form in the bulk phase from the saturated solutions.

In water systems, foreign bodies are referred to water-contacted surface, which can be heat exchangers, water pipes, and membranes. Bulk and surface crystallization may occur individually or simultaneously in all foreign bodies. The formation of scale has caused severe economic losses for these systems. In the case of membrane systems, expenditure due to membrane scaling involves direct costs associated with periodic cleaning, feed water pretreatment, and increased energy demand for membrane scale, as well as indirect costs as a result of reduced water productivity and shortened membrane life28. Therefore, various chemical or physical treatments have been used to mitigate scaling. Conventional methods of preventing scale formation include ion exchange, pre-precipitation of the sparingly soluble salts, and addition of chemicals and scale inhibitors. These methods are expensive and may change the solution chemistry, causing health concerns for human or aquatic life7. Besides, the scale inhibitors are primarily phosphate compounds, which may be harmful to the environment bringing about undesired effects such as eutrophication and algal blooms.

Examples of non-chemical water treatment systems include electromagnetic field (EMF), ultrasonic, catalytic materials, and alloys11,29,30,31. Ultrasonic wave can bring significant mechanical and thermal effects, generate powerful shock wave and microstreaming to prevent scaling32. Trace amount of catalytic materials like Zn can slow down the nucleation rate of calcium carbonate and also promote its crystallization in the aragonite rather than calcite form30. EMF as a scale control device has been employed for over a century33,34,35. The use of EMF as non-chemical water treatment devices for scale control was initially proposed by Porter36. Faunce and Cabell37 invented an electromagnetic device to treat boiler feed water. In 1873, Hay received the first US patent for an EMF water treatment device38. Baker and Judd8 reviewed industrial applications of commercial EMF devices from last century and assessed the proposed mechanisms for EMF. Salman et al.39 outlined successful and unsuccessful studies of anti-scaling effects of EMF, but lacked the synergistic analysis of these cases. Ambashta and Sillanpaa40 described water purification technique using magnetic assistance and explained different aspects of magnetism and magnetic materials for water purification. Piyadasa et al.11 summarized the relevant literature on the problem of scaling and biofouling in reverse osmosis (RO) membranes and heat exchanger systems, with a particular focus on pulsed-EMF treatment. A recent review by Alabi et al.7 discussed the possible mechanisms and observed effects implicated to EMF water treatment.

EMF has a long and controversial history regarding its anti-scaling effectiveness in water systems although it has reportedly proven effective for numerous industrial applications41. Over 4,000 studies have reported EMF associated anti-scaling and ani-fouling work from last century, and the quantity of publications increased exponentially during this century (Fig. 1), indicating EMF is a critical technique for scaling control. In these publications, EMF has been applied to mitigate bacterial contamination, organic, and inorganic fouling; improve oil separation and water splitting; assist other water treatment technologies, e.g. electrocoagulation, advanced oxidation processes. However, up to date, it has not been fully scientifically demonstrated that the EMF exposure is powerful enough to produce strong anti-scaling effects, and the various effects and mechanisms remain unclear. The inconsistence of EMF studies possibly attributes to the use of non-standardized methods, variations in water composition or differences in the course of the operations11. The efficiency of magnetic water treatment could also depend on the nature of the pipe materials1. In many cases, the standardized operating procedures are often ambiguous and important parameters including pipe materials, exposure time and properties of the field, are only partly reported. No general consensus has been reached regarding the effect of these variations on the application of EMF.

The a priori scientific understanding is needed to investigate the mechanisms of EMF and the factors affecting the effectiveness of the technologies. Thus, we conducted an extensive literature review on EMF applications and focused on the impacts of operating conditions on anti-scaling efficacy in water systems. The EMF treatment discussed in the present review includes electric field, magnetic field, and EMF, which are collectively called EMF in this review. The treatment refers to passing water through an EMF of certain characteristics. EMF devices can be placed on the treated water prior to entering the water systems, or in the position of scaling surface, referred as pretreatment and co-treatment, respectively. The possible scaling prevention mechanisms, characterization methods, factors pertaining to EMF water treatment, and the economics of the anti-scaling effects, are discussed herein.

## Summary of recent EMF treatment studies

Among a substantial number of literatures, 48 studies with detailed experiment methods and results (published after the year 2000) were selected for in-depth analysis. Tables 14 summarize the details of these studies including the feed water solution, EMF devices and treatment, testing conditions (laboratory, pilot, or industrial-scale) and duration, materials and operating conditions, characterization methods, and major results. Although different results were reported regarding the influence of EMF in minerals precipitation, the results support the same hypothesis that EMF induce bulk precipitation of crystals rather than adhesion to the surface of reactors, pipes and vessels (Tables 13) or to membrane surface (Table 4). If we consider the bulk precipitation enhancement as effective EMF treatment, the percentage of effective EMF cases can reach 95% for the discussed 48 studies, 5% of the studies observed negligible improvement with EMF treatment, none of them has negative results. Negligible improvement with EMF was observed due to feed water chemistry or high water recovery, more details were discussed in section “RO System Operation & Water Chemistry”. It is also worth noting that many studies fail to report negative results, thereby the percentage of successful cases could be lower in reality.

### EMF treatment on bulk solutions, reactors and pipes

As shown in Tables 13, almost all EMF treatments on bulk solution, reactors and pipes are effective (97.6%). The study by Lipus and Dobersek42 with EMF treatment on heat exchange surfaces concluded that fine-suspended particles formed in the bulk solution were washed away by water flow. EMF was also reported to alter the precipitation of CaCO3 from forming surface nucleating scale to non-adherent bulk solution particles43. Similar results were obtained by Alimi et al.44 that EMF affected CaCO3 crystallization through increasing the total precipitate quantity and favoring its formation in the bulk solution instead of its incrustation on the walls. Szkatula et al.45 conducted two large-scale experiments of magnetic treatment of industrial water. One of them was operated with two identical 25 kW heat exchangers for 4 months. The amount of deposit which composed mostly of calcite, reached 20 g/m of tube at the warm end of the heat exchanger, while the mass of the deposit for EMF-treated water was only 0.5 g/m of tube, which composed mainly of non-crystalline silica-rich material. Further results from the practical installation at three blocks of a 1 GW power plant implied that colloidal silica was able to adsorb calcium, magnesium or other metal ions and then precipitated from the solution as the coagulated agglomerate, as a consequence, the scaling on the walls of pipes and vessels reduced. Even though several lab-scale tests observed the enhanced precipitation of CaCO3 with the EMF treatment due to increasing nucleation or faster sedimentation, all these precipitations remained in the bulk solution instead of the reactor walls46,47,48,49.

The only ineffective case came from Salman et al.50 when they investigated the effect of EMF on potable water and seawater. The results demonstrated that EMF affected clearly the turbidity and total suspended solids of tested water, but it did not change the chemical composition, hardness, organic materials and trace metals of both potable water and seawater. Although EMF had no impact on potable water and seawater in the pilot-scale testing, EMF was successful to reduce CaCO3, CaSO4, and BaSO4 scaling in the small lab-scale testing with synthetic solutions50. As a consequence, the efficiency of EMF depended on different parameters such as water chemistry, flow rate, operating parameters, and magnetic power. The impact of operating conditions on EMF treatment will be discussed in section “Operating Conditions of EMF Treatment”.

### EMF treatment on membranes

Contrary to the successful use of EMF in heat reactors, bulk solutions, and pipes, 14% studies reported EMF applications in membrane systems were not as effective. Higher percentage of ineffective cases for membrane systems results from more complex configuration and operation as compared to bulk solutions, reactors, and pipes. The operating parameters like presence of spacers and water recovery, significantly influence EMF treatment (section “RO System Operation”). Pelekani et al.51 and Carnahan et al.52 studied the impact of EMF on RO separation for saline groundwater and synthetic salt solutions, respectively, but no significant improvement of EMF treatment was observed.

In some other cases, the EMF treatment was reported to be effective for impeding scale formation on membrane surfaces. The positive effect of EMF was proven through the lower permeate flux decline in NF53 and MD54 systems or less scaling on UF55 and RO membranes56. A study by Palmer et al.56 used the Grahamtek electromagnetic anti-scaling technology on a large scale industrial wastewater treatment system. The wastewater had a total dissolved solids (TDS) concentration of 5,500–7,500 mg/L and contained significant amounts of ammonia, sulfate, magnesium, and silica. The EMF treatment was effective in preventing magnesium silicate scale formation at water recovery over 85%, but BaSO4 tended to form an amorphous deposit on membrane surface. On the other hand, some studies with spiral wound RO system has testified the validity of EMF treatment to eliminate membrane scaling and enhance bulk precipitation, even though these precipitates blocked concentrate flow and decreased permeate flux57,58. A Descal-A-Matic device was used to provide EMF that was expected to neutralize minerals and dissolved solids during desalination of saline drainage water57. It was observed that the water recovery decreased faster with the treatment of EMF. Further analysis of deposit indicated significant CaSO4 scaling on the RO feed spacer, resulting in the decline of water recovery. This result provided another evidence that EMF boosts bulk precipitation of crystals rather than adhesion to membrane surface. However, the precipitates were captured and accumulated in the RO spacer mesh, clogged the feed water flow channel, caused the drop in water recovery.

## Scaling prevention mechanisms

Several mechanisms have been proposed to explicate the various EMF effects on salt solutions. Based on the literature review, we summarize them into two fundamentally different approaches: (i) hydration effects, and (ii) magnetohydrodynamic phenomena under continuous flow condition18,42,44,46. Both mechanisms are the results of Lorentz forces—forces acting on a moving charged particle in an EMF. Lorentz forces have been proposed to be responsible for different phenomena, including dissolution-enhancement59,60, crystallization nuclei formation61, stabilization of coordinated water62, and double layer distortion63.

### Hydration effect

Most of the observed EMF effects can be elucidated in the light of magnetically induced changes in the hydration of ions, gas/liquid interfaces, and hydrophobic solid surfaces, which also account for the impacts observed under the static or quiescent treatment conditions (i.e., without the flow of the treated fluid phase through the EMF)18,64. It has been reported that the EMF is able to accelerate the crystallization of sparingly soluble diamagnetic salts of weak acids such as carbonates and phosphates. The mechanisms involve changing the orientation of the proton spin, thereby disturbing hydration effects by hindering the transfer of the proton to a water molecule65,66.

Stabilization of the hydration shell of scale forming ions favors dissolution because the dehydration and precipitation are more difficult to achieve67. Besides, correlation in dissolution rates with the ionic surface tension increment has been also reported68. Hence, the hydration effect is positively associated with surface tension of water that determines the interfacial interactions between water molecules and scale forming ions or solid surfaces. Some researchers noticed variations in the surface tension of water with the presence of EMF, while others discovered negligible impact. Cho and Lee69 used both permanent magnet and solenoid coil device to investigate whether EMF treatment can change the surface tension of a hard water. They found that as the EMF exposure time increased, the surface tension of the tested water decreased. Besides, Pang et al.70,71 also found EMF depressed surface tension force of water. This observation agreed with the result of the dye flow-visualization experiment70,71. Surface tension can be defined as the surface energy per unit area, and in the aqueous system, the surface energy of a solid–liquid state is more than that of a liquid–liquid state72,73. The presence of colloidal particles increases the surface energy at the water–colloid interface, thereby declining the surface energy at the water–reactor surface. It was also suggested that the results can be used to qualitatively evaluate the efficiency of EMF for the prevention of scaling in heat exchangers69. In contrast, some researchers reported an increase74,75 or no alternation in surface tension76.

### Magnetohydrodynamic phenomena

Magnetohydrodynamic phenomena exist only when both the treated fluid flows and the EMF presents62,77, such as in dynamic treatment conditions. The proposed magnetohydrodynamic mechanisms consider all observed effects of the dynamic EMF treatment because of the action of the Lorentz force—a force that acts on charged species when they pass through the EMF. The magnitude of this force is defined by the following equation18:

$$|{{F}}_{{L}}| = {{q|v}} \times {{B|}} = {{qvB}}\,{\mathrm{sin}}\,\theta,$$
(1)

where q is the quantity of charge, v is its velocity, B is the magnetic induction, and θ is the angle between v and B vectors. Since this force can stimulate all charged species in the electrolyte solution/dispersion traversing the EMF, including the surface charge, ions in the electrical double layer near charged surfaces, and free ions in the solution. The magnetohydrodynamic mechanisms can be used to explain a wide variety of EMF effects, such as the effect of fluid velocity, magnetic induction on the quantity and crystal structure of the scale, and the main scale component (as discussed in section “Properties of EMF, Pipe Materials & Fluid Flow Rate/Velocity”).

### Other mechanisms

Depending on the affected objects, the proposed EMF mechanisms can also be broadly categorized under (even though the nature of mechanisms is identical)8: (i) intra-atomic effects, such as changes in electron configuration as discussed in hydration effects; (ii) contamination effects caused by magnetically enhanced dissolution, like the impurities dissolved from devices or pipes; (iii) inter-molecular/ionic effects, e.g., the hydration of ions alters by EMF; (iv) interfacial effects, including alteration of gas/liquid interfaces, and hydrophobic solid surfaces.

## Characterization of EMF effects

The characterization methods to monitor the precipitation and growth of a scale layer is of great importance to quantify EMF treatment efficiency. As discussed in section “Summary of Recent EMF Treatment Studies”, the results of previous studies are somewhat contradictory because the mechanisms of EMF on scale formation and growth remain obscure, probably due to limited analytical methods and lack of quantitative studies. Hence, in the present work, we reviewed conventional characterization methods, current and potential real-time monitoring approaches for evaluation of EMF effects.

### Conventional characterization methods

As shown in Tables 14, most of the EMF scaling prevention studies have provided the precipitation data as an indicator of EMF efficiency. The total precipitation is usually calculated by the change of ionic calcium concentration or solution conductivity. The bulk/homogeneous precipitation is the weight of precipitates recovered by filtration. The heterogeneous precipitation, which is adherent to the reactor surface, is determined by subtracting bulk/homogeneous precipitation from total precipitation. X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM), and energy dispersive X-ray spectroscopy (EDX) have been used to analyze the crystal structure, morphology, and element composition of the precipitates. Although these data are very helpful to characterize scaling, there is a need for more scientific evidence on the scaling prevention mechanisms. A comprehensive understanding of scaling at the atomic level and the development of real-time monitoring for early detection of scale formation are vital for EMF applications.

### Current real-time monitoring methods

For membrane systems, such as reverse osmosis (RO)51,56,57,78, nanofiltration (NF)53, ultrafiltration (UF)55, and membrane distillation (MD)54, water/permeate flux and salt rejection have been widely used at both lab-scale and pilot-scale to assess the EMF effectiveness on scaling control. The limitation associated with salt rejection is that it usually does not show differences with or without EMF treatment. It is challenging to distinguish the reasons for water flux decline between adherent membrane scaling and bulk precipitation. The bulk precipitation is difficult to measure because most precipitates are retained in the membrane systems.

Gabrielli et al.1 built a customized magnetic device with permanent magnets to treat scaling waters and plotted chronoamperometric curves and chronoelectrogravimetric curves to estimate the scaling time and the nucleation time of the scale deposition. The two electrochemical curves were recorded by a potentiostat with the oxygen reduction current and the deposited mass as a function of time. In chronoamperometric curves, the decrease of the current flowing through the electrode demonstrated the growth of the scale on the electrode. Here, a scaling time was defined when the current reached very close to the residual current where the electrode was totally scaled. The mass deviation in chronoelectrogravimetric curves implied the mass of scale deposited on the electrode surface, and the nucleation time was determined as the mass neatly increased after some delay. The scaling time and the nucleation time were higher in the presence of EMF and increased as increasing number of magnets. They believed that the EMF trapped a part of the ionic calcium and deactivated them from scaling. The trapping effect may be related to the surface tension of water after EMF treatment. Surface tension of the solution can be measured by tensiometer or customized capillary-tube system69,76. However, as discussed in section “Hydration Effect”, the results of the surface tension are controversial. There could be a number of reasons for the different consequences, including solution impurities, temperature, and treatment time.

Natural suspended particle fragmentation with the installation of EMF device was investigated by Stuyven et al.45,79. They studied the size distribution of natural suspended particles through dynamic light scattering and applied this approach to evaluate the effect of magnetohydrodynamic forces (refer to section “Magnetohydrodynamic Phenomena”) on the natural particles in tap water. They noted that natural suspended particles are disrupted into nanoscopic fragments when passing through an EMF. The size of suspended salt particles was reduced by two to three orders of magnitude indicating an increase of suspended particulate surface area by four to six orders. Under the conditions of supersaturation (e.g., heating), precipitation arises to a great extent on the large surface area of nanoparticles in the bulk solution, instead of on the limited surface area of a container or heating elements. This finding explains higher precipitation in bulk solution for most EMF studies as discussed in section “Summary of Recent EMF Treatment Studies“. Similarly, Kney and Parsons47 used UV–Vis spectrophotometer to measure the absorbance of the tested solution. Peak absorbance appeared when the maximum number and size of particles was reached, after that a decrease was observed owing to sedimentation and/or crystallization. They noticed when a small volume of a magnetically conditioned CaCO3 precipitate was added to a freshly mixed Na2CO3 and CaCl2 solution, a secondary precipitate formed and settled at an accelerated rate as compared to tests using non-magnetically treated CaCO3 seed. However, they were unable to confirm the specific mechanism that led to the changes.

Although electrochemical tests (chronoamperometric and chronoelectrogravimetric curves), surface tension measurement, and optical instrument analysis can provide important information on the changes of water, particles, and precipitation with or without EMF treatment, they are all limited to small laboratory scale. Ultrasonic time-domain reflectometry is an in situ, non-invasive real-time technique that has the potential in larger scale testing. This technique has been successfully applied to analyze membrane compaction, fouling and cleaning80,81,82,83,84,85. The increase and the movement of differential signal as function of reaction time are associated with the deposition of the CaCO3 scale layer and an increase in the thickness of the fouling layer. Mairal et al.83 employed the ultrasonic technique as an real-time characterization of RO membrane scaling. Pellegrino et al.58 used acoustic spectroscopy to measure the ultrasonic signal attenuation coefficient as a function of frequency or ultrasonic travel velocity in the solutions. Li et al.53 used this technique for quantitative study of crossflow nanofiltration to study the effect of EMF on CaCO3 scale deposition on the membrane surface. The ultrasonic testing suggested that EMF treatment could suppress and delay the initiation and precipitation of CaCO3 crystals on the membrane surface, consistent with the research results by Gabrielli et al1.

### Potential real-time monitoring methods

Some other real-time monitoring methods associated with microscope may be suitable for EMF anti-scale experiment. Chen et al.86 and Antony et al.9 have reviewed the direct observation of foulant accumulation on the membrane surface and fouling layer formation. All the techniques studied were applied to low pressure membrane operations. For plate and frame membrane cells such as RO87 and MD systems88, direct visual observation and real-time monitoring of mineral surface scaling were developed. Images of membrane surface were obtained by high resolution digital photography using an optical microscope with lighting arrangement, aiming to enhance the boundaries of semi-transparent crystals and to provide the most straightforward visualization of membrane fouling. Then the nucleation and growth of scale were quantified in a plate and frame membrane cells, detected by real-time analysis of the recorded images and the evolution of the surface number density, size of mineral crystals and the percent of surface area covered by scale87,89,90. This technique has also been applied in full scale plants to detect the scale formation by connecting this detector to a side-stream from the tail element of a spiral wound RO module, quantified by the observed crystallization induction time or the threshold surface scale coverage87,90.

Furthermore, during the fabrication of colloidal arrays, Gong and Wu91 observed the movement of colloidal particles through a charge-coupled device camera that was connected to an inverted microscope. When an EMF was applied, each particle acquired an induced dipole moment and started to move. This technique provides another way to observe the movement of the particles under the exposure of EMF at atomic level.

Apart from the above methods, electrochemical impedance spectroscopy (EIS) has also been applied to various fouling and scaling related problems92,93,94. Comparing to current indicators for membrane fouling (e.g., pressure and water flux), EIS as a real-time monitoring approach can provide early indications of incipient fouling and scaling during separation processes92,94,95,96. Even though there is no research involving EIS into EMF investigation, EIS is possible to be an efficient method to monitor EMF water systems if the impact of EMF can be eliminated during EIS measurement.

## Operating conditions of EMF treatment

### EMF device configurations

Generally, there are two configurations of an EMF device used in water systems: permanent magnet and solenoid coil (Fig. 2). Permanent magnets have been prepared from ferromagnets of iron-based, nickel-based, cobalt-based or rare earth element-based compounds40. The EMF generated by permanent magnets depends on the arrangement and the number of permanent magnets. Some are arranged with alternating poles of magnets, others are arranged without alternations. A solenoid of electrical conducting wires can generate magnetic field within their cavity on passage of electric current97,98. The space of solenoid for linear, annular and different shape designs have been developed depending on the application40. The field strength varies with the number of coils or the thickness of the wire used. These devices can be customized or are commercially available. Currently, most manufacturers of commercial EMF units are in the United State, Canada, Mexico, and the United Kingdom99. Besides, the generated EMF could be static or pulsating, orthogonal or parallel to the fluid flow.

EMF devices of permanent magnet and solenoid coil configurations were tested extensively in the last two decades (Tables 14). The efficiency of these devices remains a controversial question because of the contrastive results. On the one hand, plate-frame NF53, UF55, and MD54 were investigated with the treatment of permanent magnets, the results of lab-scale tests suggested magnetic pretreatment formed more porous precipitates on the membranes. It has been also reported that CaCO3 crystallization on a pipe wall declined through permanent magnets treatment44. Whereas increasing precipitation of CaCO3 in bulk solution during several lab-scale tests with permanent magnets EMF treatment were reported46,47,48.

On the other hand, many researchers applied EMF on spiral wound RO units in treating saline wastewater or synthetic hard solution. After EMF treatment with solenoid coil configuration, Rouina et al.78 found enhanced salt rejection and permeate flux, while more deposition of BaSO4 was observed by Palmer et al.56. Some researchers stated limited improvement in permeate water flux51 and no difference in salt permeability52. The pre-exposure of solenoid coil EMF on feed water altered the precipitation of CaCO3 from forming surface nucleating scale to non-adherent bulk solution powder43. Additionally, a 20-μm filter in the concentric tube of the heat exchanger could maintain zero fouling resistance over 820 h43. The controversial results are probably related to RO system operating conditions, such as water recovery and the presence of spacers, which will be discussed in section “RO System Operation”. Hence, EMF device configuration is not a primary factor for EMF efficiency.

### Properties of EMF (intensity, waveform, and frequency)

The efficiency of EMF also depends on the properties of the field, including intensity, waveform, and frequency. Tai et al. used permanent magnets with different intensities [0.1 and 0.3 tesla (T)] to examine the impact of EMF on the crystal growth of calcite suspended in a fluidized bed100. The results demonstrated that the calcite growth rates in the presence of EMF were lower than those without EMF, and higher intensity yielded a reduced growth rate. Sun et al.55 developed an electrocoagulation membrane reactor to treat the feed water containing clays (kaolinite) and natural organic matter (humic acid). In the electrocoagulation system, UF modules were placed between electrodes to improve effluent water quality and reduced membrane fouling. They noted that the combined effect of electrocoagulation and EMF mitigated membrane fouling in the designed reactor, resulting in higher water flux. Magnetohydrodynamic effects induced by the EMF likely played an important role in controlling membrane fouling, especially during the process of cake layer formation. The applied current density and voltage on the electrodes controlled the formation of a scale cake layer. Higher electric field strength resulted in higher porosity and hydrophilicity of the formed cake layers. Kobe et al.101 also investigated the influence of the magnetic induction on the CaCO3 crystallization. Calcite was the major crystalline phase (90%) for CaCO3 without EMF treatment, the percentage reduced to 80 and 29% when magnetic induction was 0.4 T and 1.2 T, respectively. Meanwhile, aragonite gradually became the major phase with increasing magnetic induction. A promising result was obtained from a pilot testing that applied EMF to tap water in heat exchangers. The authors stated that the EMF treatment can reduce the need for chemically treated tap water. Besides, when the influence of an EMF intensity was between 0.5 T and 1.3 T, the nucleation and subsequent growth of aragonite could be successfully used as a way of preventing scale17.

Two commercial EMF devices with comparable frequencies of ~100 kHz but quite different waveforms have been used to study the scale of CaCO3 under the influence of the pulsed EMFs102. Piyadasa et al.102 noticed that exposure to the EMF from the device with less homogeneous waveform (Fig. 3a) can improve the quantity of CaCO3 microcrystals. Gabrielli et al.1 built a customized EMF device with permanent magnets to treat scaling waters, and utilized an ion selective electrode to measure the remaining ionic calcium. The permanent magnets of the EMF device had two configurations: inverted and non-inverted, and the corresponding waveforms are presented in Fig. 3b. The inverted configuration had a less homogeneous waveform than non-inverted one, resulting in the nucleation delay for 5–12 times. Stojiljkovic et al.103 examined the effect of different EMF waveforms generated with a home-made device on deposit formation in installations with a geothermal water. By applying the saw-tooth and sinusoidal function, the total amount of deposit in the pipe decreased from 2.07 grams (g) without EMF to 0.23 g and 0.30 g, respectively.

Yet, Carnaham et al.52 investigated the effects of EMF frequency on salt and water transport in commercial and lab-scale RO membranes. During more than 500-h operation, no differences in salt permeability were observed when the frequency of EMF was varied from 40 to 300 Hz.

### Placement of EMF devices

The placement of EMF devices in a water system might also be an important factor for the scale control efficiency. Most previous studies using EMF exposure as a pretreatment for feed water acquired positive results, including the experiments on heat exchangers17,42,43,79, membranes53,54, pipes1, as well as bulk solutions18,79,102. The quantity of scale precipitated in boilers and pipes in heat exchangers after three-weeks operation was measured to evaluate the EMF efficiency42. Tap water was exposed to EMF before entering the boilers, scales occurred in much smaller amounts: the scale on heating copper-pipe spiral was 2.5 times thinner and only very thin powder-like coating was observed in zinc-coated steel pipe, while abundant hard lining was formed in absence of EMF. The crystals on boilers were about four times thinner in the case of EMF. Stuyven et al.45 used EMF to pretreat potable water and found disaggregation of suspended particles in turbulent flow. Other studies observed larger quantity of precipitates in the bulk solution with pre-exposure to EMF instead of reactor walls102,104.

The influence on efficiency is more polytropic when an EMF device is placed directly on the scaling surface (referred as co-treatment in Tables 14). Salman et al.50 reported no change of chemical composition of both potable water and seawater in the water tank. As for the research conducted on spiral wound RO units, Rouina et al.78 found improvement of both salt rejection and permeate flow rate, while Pelekani et al.51 reported limited enhancement of permeate flux. Others presented more precipitations of CaSO457 and BaSO456 on the membrane or spacer surface, while there was no difference in salt permeability52. The variation might be derived from the impact of water recovery, feed water composition, and the presence of spacer in RO system (as discussed in section “RO System Operation & Water Chemistry”).

### Exposure time to EMF

EMF exposure time affects both quantity and morphology of precipitation. Alimi et al.46 investigated the influence of the EMF exposure time on the precipitation in the tested solution. They found an optimal treatment time of approximately 15 min that corresponded to higher total precipitation and bulk precipitation of CaCO3 at different fluid flow rates. The authors claimed that the induction time for CaCO3 nucleation was remarkably declined with the exposure of EMF, so the micellization of ionic pairs was more advanced, and then accelerated the effective nucleation process. The changes of CaCO3 precipitate quantity for different exposure time might attribute to magnetohydrodynamic phenomena.

Among different phases of CaCO3 such as calcite, aragonite, and vaterite, aragonite is considered to be a less stable phase that is thought to form less tenacious layers and can be easily washed off a substrate by fluid flow7. Knez and Pohar18 performed precipitation tests to determine the influence of EMF exposure time on synthesized calcium hydrogen carbonate solution. EMF favored the precipitation of aragonite and the aragonite content increased with increasing exposure time to EMF. In addition, tests conducted by Rizzuti et al.105 claimed that EMF treatment preferred the precipitation of aragonite with increasing exposure time, while vaterite formation of CaCO3 was supported by low exposure time. Similar result was reported by Tai et al.100 that the yield of crystalline phases depended on the EMF exposure time, where aragonite was predominant phase with longer exposure time. Besides, some researchers confirmed that the memory effect of EMF can last up to 200 h after the EMF removed19.

### RO system operation

As discussed in section “EMF Device Configurations”, the EMF performance on RO systems is polytropic, largely coming from the system operational conditions. At water recovery higher than 80%, EMF treatment can reduce scaling on membrane surface, but the bulk precipitates scaled on feed spacer or blocked concentrate flow, as a consequence of permeate flux decline51,57,58. Whereas, Pelekani et al.51 reported 8 times improvement on chemical cleaning required period compared to non-EMF treatment when the water recovery decreased to 70%, probably because less and smaller bulk precipitates were generated and easier to be washed out. But no differences in the salt permeability were observed at water recovery of 9.3%52. Therefore, moderate water recovery is of great importance for successful EMF application in RO system. Moreover, the presence of spacer may reduce the scale suspended time significantly in the flow channel, resulting in precipitation on the spacers.

### Pipe materials

The materials of the pipe where the EMF is applied can impact the formation of scale. The influence of pipe materials was studied by Gabrielli et al.1. Along with stainless steel, various conducting and insulating materials were tested such as copper and two types of polyvinyl chloride (PVC) referred as PVC I and PVC II. PVC I was pure PVC, and PVC II was the common tubing used in plumbing, loaded with alumina and CaCO3. Compared with PVC I as a reference, the total precipitation increased by 18% for PVC II and 28% for stainless steel and copper. However, the authors did not provide the comparative data without EMF treatment for these pipes as references. According to the results from Alimi et al.44, the influence of the pipe materials in the absence of EMF cannot be ignored. The precipitation amount followed the order of Tygon > stainless steel > copper > polytetrafluoroethylene (PTFE), with or without EMF treatment. The application of the EMF enlarged the total and homogeneous precipitation for all used pipe materials. Although the EMF effect on precipitation is less important for copper and stainless steel, the total precipitations are still higher than EMF-treated PTFE. This observation agreed to a certain extent with the research of Gabrielli et al.1. Moreover, two pipes made of Teflon, were also tested by Alimi et al.44: a non-conductive PTFE and an electroconductive anti-static PTFE. They found that non-conductive PTFE has more improvement for calcium precipitation than electroconductive one, in contrast to Gabrielli et al.’s result1. However, due to lack of detail information of these polymeric pipe materials, further comparison of the two papers is restricted.

Some researchers believed that the effect of the pipe materials on the total precipitation might be companied with the presence of impurities in the solution when passing through the tubing. It was found that leachate concentrations were the highest for Tygon, and PTFE did not leach any detectable contaminants after comparing the leachates from a variety of pipes106,107. In fact, these leachates can work as seeds that promote the precipitation in the bulk solution. Hence, the observation of Alimi et al.44 became reasonable with regards to the lower precipitation perceived for PTFE and the higher homogeneous precipitation for Tygon.

Because the pipe materials have an important effect on CaCO3 precipitation, the surface state of the pipe may also influence the hydrodynamic parameters. PVC pipes with three different roughness levels were tested: smooth pipe, polished pipes using abrasive papers of 320 and 80 (roughness 320 is smoother than roughness 80). It was demonstrated that the quantities of the total and the homogeneous precipitates increased simultaneously with roughness, with or without EMF treatment44. Only the homogenous precipitation was influenced by wall roughness. Actually, internal roughness can generate turbulence areas in the vicinity of the walls, thereby create local eddy currents108,109. Then the release of impurities by erosion is accentuated and the precipitation of CaCO3 tends to occur in the bulk solution instead of the reactor walls. The impact of roughness can be used to explain the failure cases of EMF treatment on RO system56,57, the spacers in the RO unit extend the roughness of the system, resulting in increasing scale precipitation.

### Fluid flow rate/velocity

The effect of EMF on scaling in a double-pipe heat exchanger was investigated by Shahryari and Pakshir110. A double-loop-configuration consisting of cooling and heating water cycles was used to study the impact of cooling water flow rate on the EMF treatment efficiency. In the absence of EMF treatment, the scale deposited on the heat exchanger surface decreased with increasing cooling water flow rate. The application of EMF decreased the fouling resistance (representing heat transfer) in the heat exchanger by 76.3% compared to the untreated test, at 0.5 m/s flow rate. However, increasing the water flow rate resulted in a decrease in the EMF efficiency, where 64.3% and 57.8% drop in fouling resistance of heat exchanger at 0.8 and 1.3 m/s water flow rate, respectively. Some researchers examined the impact of flow rate on total precipitation and homogeneous precipitation of CaCO3 with different pipe materials44,46,104. Interestingly, the total precipitation was flow rate-dependent only for conductive pipes (copper and stainless steel) with the presence of EMF, whereas homogeneous precipitation was flow rate-dependent in all circumstances (flow rate: 0.23–0.41 m/s). The deposit on the surface of all pipe materials reduced at higher flow rate in absence of EMF because these precipitates were washed out by water flow. While applying EMF, the surface scale weakened for non-conductive pipes (PTFE and Tygon) with increasing flow rate but was flow rate-independent for conductive pipes. According to Eq. (1), magnetohydrodynamic phenomena depend on the flow of the treated solution. Internal roughness generates turbulence areas in the vicinity of the walls then creates local eddy currents. As a consequence, a larger velocity gradient was generated, and the balance of calcium-carbonate equilibrium was disturbed along the walls. The aggregation of the CaCO3 colloidal particles under the magnetohydrodynamic phenomena would lead to expediting the precipitation process.

Garbrielli et al.1 observed an enhanced CaCO3 precipitation with increasing flow rate in a wider range. Under exposure to EMF, comparing with initial ionic calcium concentration, a 0.074 m/s velocity induced a 15% decrease of the concentration and reached 25% at a 1.8 m/s. The efficiency did not practically rise for a twice-faster velocity (3.6 m/s). Hence, the EMF efficiency is not always positively correlated to flow rate, there is a maximum efficiency at an optimal water flow for EMF treatment.

Kobe et al.101 found that the flow conditions played a significant role besides the EMF to modify the crystallization phase of CaCO3. The formation of crystals depends on the initial conditions of crystallization, which on its turn depends on the free energy of the molecular system. Moreover, if the energy density of 25 eV per molecular volume could be provided to the molecular system, then accumulation of additional Ca2+ and CO32− around the initial seed, will have higher probability to give structural forms crystallized with hexagonal symmetry (aragonite). Yet, generally used EMF (0–2 T) cannot provide enough energy to bridge the gap between the ions of Ca2+ and CO32-, but the presence of turbulent flow can amplify EMF effect to provide enough free energy111.

### Water chemistry

Water chemistry of the flow solution is a critical parameter affecting scaling. Obviously, the precipitation mainly depended on the major ions of the test solution, other factors like pH, temperature, presence of particles and dissolved gas, can also influence the precipitation-dissolution equilibrium in the aquatic system.

#### Major anions

As stated in the Introduction, the formation of scale depended on the major ions of the feed water. Carnahan et al.52 investigated the effects of EMF on salt and water transport in RO membranes. For both commercial RO unit and classic lab-scale RO system, no effects of the EMF were observed on the pure water permeability regarding the synthetic feed solution (LiCl, NaCl, KCl, MgCl2, and CaCl2). CaCO3 is the most common scale because calcium and bicarbonate are abundant in the water bodies. Thus, the majority of EMF studies have focused on CaCO3 precipitation, and based on our literature review (Tables 14), most of them observed a reduction of adherent scale on the surface of heat exchangers, pipes, and membrane systems in the presence of EMF. However, promoted scaling was found when the primary precipitation was sulfate-based particles, such as CaSO457,58 and BaSO456. CaSO4 and BaSO4 are much tighter and smaller particles than CaCO3, as a result, they are more difficult to be removed by water flush then packed more tightly on the membrane surface or feed spacer, finally increasing membrane resistance56,57,58. Different results were observed by Salman et al.50 when compared the EMF effects on CaCO3, CaSO4 and BaSO4 scaling in bulk solution. The study confirmed that EMF was effective to reduce or retard the scale, the effect on BaSO4 was found to be stronger than on CaCO3 or CaSO4. EMF succeeded in keeping the scale suspended for 45 min for BaSO4, and 20 min for CaCO3, while EMF inhibited the CaSO4 from precipitation for 10 min. Hence, the effect of EMF was proven to be selective depending on the type of scale. Since the time required for the feed water to enter and exit a desalination plant is typically less than 15 min, flow rate is also a key factor for EMF effectiveness. The different results of bulk solution and RO tests probably attribute to the presence of spacer, which may remarkably decrease the scale suspended time in RO system. A recent study on EMF application in the RO system in treating CaSO4-riched groundwater demonstrated that EMF could reduce scaling and improved permeate flux. The EMF induced a high frequency electric signal, which could loosen colloidal particles, fouling and scaling layer on cartridge filter, membranes, and pipelines, but the shed fine solids accumulated and clogged the traditional mesh spacers in the RO feed flow channel112.

#### Suspended particles

Given that water may contain suspended particles (mainly silica and alumina), Stuyven et al.45 examined the fate of waterborne natural particles passing through an EMF device. After magnetic conditioning, the water contained crystallization nuclei to promote formation of waterborne CaCO3 crystals instead of scale deposits on the surfaces of heater elements. They concluded the presence of suspended particles was a condition for EMF water treatment to be effective. In addition, Stuyven et al.79 found combining hydrodynamic forces of turbulent flow with Lorentz forces generated by EMF was an energy-efficient approach to disaggregate suspended particles. As a result, more surface area of the suspended particles was provided for scale formation. Szkatula et al.113 conducted two large-scale experiments of EMF on industrial water, aimed to study changes in the formation of deposits. They noted an amorphous, soft deposit recovered with EMF that came from silica hydrosol. The crystallization of carbonates in water was blocked due to the activation of the colloidal silica, which would adsorb calcium, magnesium or other metal ions. These metals and carbonates ions then precipitated from the solution as the coagulated agglomerate. The activation of silica probably came from Lorentz-force induced deformation of the diffusion layer leading to the increased counterion concentration in the adsorption layer of the negatively charged silica. Hence, the authors suggested that it was necessary to activate only a small fraction of silica present in water to prevent the system against lime scale. Furthermore, this idea could be used to explain the unsuccessful cases of EMF on RO units56,57, the spacers in the RO unit extend the surface area of the system, leading to boosted scale precipitation.

#### pH

pH has a significant effect on the results of the tests, even slight changes in pH generated different precipitation conditions. The effect of pH on precipitation is easily understandable: when the water becomes more alkaline, the calcocarbonic equilibrium is displaced towards a stronger supersaturation, then the nucleation probably gets larger104. However, the impact of pH on EMF performance is not clear. Typically, the pH throughout a testing period varies from +/−0.25 to 0.5 unit18,47. Kney and Parsons47 found that by adding small volumes (i.e., 0–50 µL) of 0.5% NaOH to a test cuvette the variations in pH could be controlled, so that the point of accelerated precipitation could maintained from test to test. Besides, a good repeatability of the accelerated settling conditions was achieved by adding a specific volume of NaOH (i.e., in this case 25 µL). It was important to note that the accelerated conditions could not be achieved if less than 25 µL of base was added. Thus, the point of accelerated precipitation is very pH specific. Faith et al.104 investigated the impact of EMF on CaCO3 crystallization at the pH range of 6–6.5. The experimental results proved that the EMF promoted preferentially the homogeneous precipitation detrimentally to the scaling of the walls, and this effect was more remarkable at lower pH. For instance, in the absence of EMF, the total precipitation ratio was 73%, of which 22.2% for the homogeneous precipitation and 50.8% for the heterogeneous precipitation. In the presence of EMF, the total precipitation ratio increased to 84%. The homogeneous contribution increased to 38.9% whereas the heterogeneous one decreased to 45.1%. Similar result was obtained by EMF-treated PTFE pipe, but simultaneous augmentation for both total and homogeneous precipitations was observed using Tygon pipe44. Overall, increasing pH accelerates precipitation in bulk solution.

#### Temperature

In neutral aquatic systems, CaCO3 exists in the form of calcium and bicarbonate ions. Dissolved calcium and bicarbonate ions do not precipitate at relatively low or moderate temperature because both ions are surrounded by water molecules43. As increasing solution temperature, the calcium ion precipitates because its solubility declines with higher temperature of solution. The scale forms preferentially on hot surfaces as the diffusion of calcium ions is accelerated by the relatively higher temperatures around the heat exchanger surface. It has been reported that EMF can increase the solution temperature to some degree, but it is not enough to cause this intra-molecular disruption43. Nevertheless, the interactions of EMF with temperature on scaling are unclear.

In a recent review, Alabi et al.7 analyzed temperature impact through three studies during 1996–1998. It was found that there was negligible difference with and without EMF treatment in the temperature range of 40–60 °C114. Higashitani et al.115,116 however observed thermal dependence of EMF treatment on electrolyte and colloidal solutions. The EMF did enhance precipitation when temperature below 30 °C, but the magnetic effect waned as the temperature increased and almost disappeared at 50 °C.

Different phenomenon was detected by Lipus and Dobersek42 when compared scales from two parallel experimental lines with boilers, one supplied by untreated tap water and another by the water circulated through the EMF device. They claimed that EMF reduced the thickness of scale on high-temperature (70 °C) heating surfaces and protected the hot water conducting pipes from scale completely and even dissolve old scales in the pipes. Rizzuti et al.105 investigated the effect of EMF that generated inside a multimode microwave applicator on the crystallization of CaCO3 polymorphs. An increasing formation of more porous aragonite and a decreasing vaterite content were observed at higher temperature (80–90 °C). Deposition of precipitated CaCO3 from Na2CO3 and CaCl2 solutions on different substrates, including stainless steel, copper, aluminum, and glass, was investigated at temperatures of 20 °C, 40 °C, 60 °C and 80 °C. It was found that during 2-h quiescent conditions, the amounts deposited firmly on the surfaces decreased with increasing temperature. The deposition was reduced at all temperatures with the presence of EMF, but the deposit amounts depended on the nature of the substrate. The largest EMF effect was found on glass at 60 °C, which amounted 50% reduction of the deposit without EMF treatment. However, at 80 °C no deposition was found in the presence of EMF on aluminum surface, comparing to 0.2 mg/cm2 deposited amount without EMF117.

#### Anti-scalant

Anti-scalant is the most commonly used scale inhibition chemicals in water systems, which is considered to be more efficient than EMF on scaling control. Anti-scalants are chemicals such as organophosphonate, polyphosphate- or acidic polymers like polyacrylic acid118,119. Corbett57 reported that EMF was invalid in preventing CaSO4 scaling at 91% water recovery in RO system, while the application of anti-scalant sodium hexametaphosphate was successful in avoiding scale at 93% water recovery. Besides, the performance of EMF was compared to the performance of four commercial anti-scalants in retarding the scaling deposition50. It was concluded that anti-scalant was scale selective because the anti-scalants of organophosphonate, polymaleic and polyacrylate copolymers had strong resistance on CaCO3 and CaSO4 scaling but no impact on BaSO4 scaling. The other anti-scalant with high specific gravity worked at the opposite way. Although no study combined EMF with anti-scalant in available literature, it can be hypothesized that addition of anti-scalant affect negatively the effectiveness of EMF because their mechanisms for scaling control are conflicting to each other.

## Quantitative evaluation of EMF improvement

Despite numerous researches have investigated the application of EMF into heat exchangers (Table 1), pipes and other substances (Table 2), bulk solutions (Table 3), membrane systems (Table 4), very few of them have quantified EMF improvement, not to mention the comparison of EMF improvement in the previous review papers7,8,9,11,40,99,120. There are various indicators for different foreign surfaces to evaluate the EMF improvement. Because this review focuses on scaling control, scale deposit on the foreign surface, water flux, water recovery, as well as salt/organic rejection were selected as the indicators to evaluate the efficiency of EMF for different water systems. Therefore, this present review has quantified and compared the EMF improvement based on available literature data. The EMF improvement is defined as

$$\begin{array}{l}{\mathrm{EMF}}\,{\mathrm{improvement}}\,\% \\ = \frac{{{\mathrm{scale}}\,{\mathrm{deposit}}\,{\mathrm{without}}\,{\mathrm{EMF}} - {\mathrm{scale}}\,{\mathrm{deposit}}\,{\mathrm{with}}\,{\mathrm{EMF}}}}{{{\mathrm{scale}}\,{\mathrm{deposit}}\,{\mathrm{without}}\,{\mathrm{EMF}}}} \times {\mathrm{1}}00\% \,\left( {{\mathrm{for}}\,{\mathrm{foreign}}\,{\mathrm{surfaces}}} \right)\\ {\mathrm{or}} = \frac{{{\mathrm{water}}\,{\mathrm{flux}}\,{\mathrm{with}}\,{\mathrm{EMF}} - {\mathrm{water}}\,{\mathrm{flux}}\,{\mathrm{without}}\,{\mathrm{EMF}}}}{{{\mathrm{water}}\,{\mathrm{flux}}\,{\mathrm{without}}\,{\mathrm{EMF}}}} \times {\mathrm{1}}00\% \,\left( {{\mathrm{for}}\,{\mathrm{membrane}}\,{\mathrm{systems}}} \right)\\ {\mathrm{or}} = \frac{{{\mathrm{salt/organic}}\,{\mathrm{rejection}}\,{\mathrm{with}}\,{\mathrm{EMF}} - {\mathrm{salt/organic}}\,{\mathrm{rejection}}\,{\mathrm{without}}\,{\mathrm{EMF}}}}{{{\mathrm{salt/organic}}\,{\mathrm{rejection}}\,{\mathrm{without}}\,{\mathrm{EMF}}}}\\ \times {\mathrm{1}}00\% \,\left( {{\mathrm{for}}\,{\mathrm{membrane}}\,{\mathrm{systems}}} \right).\end{array}$$

Figure 4 summarizes the quantification of EMF improvement in heat exchanger and membrane systems. EMF had positive effect on reducing scale deposit on the heat exchanger17,42, NF53, MD54, and RO systems51,52,58. Heat exchanger had the highest improvement17,42, implying the efficiency of EMF may relate to temperature. The scale deposit on RO membrane mitigated by 5–49% in different lab-scale and pilot-scale RO systems owing to the variation of feed water and operation parameters51,58. EMF enhanced water flux of various membrane systems (Fig. 4). It is worth noting that the negative EMF improvement (−15%) of water flux in RO system came from the water treatment without cartridge filter as pretreatment58. Whereas, 17% improvement of EMF treatment was obtained if involved pre-cartridge filters, suggesting the presence of larger particles (>5 μm) in feed water can recede the EMF performance82. Moreover, according to the pore size of the testing membranes, the success of EMF may desire larger pore size. There was only 5–7% improvement for salt rejection in RO systems with the application of EMF52, thus EMF has marginal effect on salt rejection. Yet, 83% enhancement of organic rejection was achieved in UF system because of coupling electrocoagulation55. Pelekani et al. applied pulsed-power EMF into semi-pilot-scale spiral wound RO membrane and found the required time for chemical cleaning of RO system was extended by 33%-49%51. However, another research showed EMF was ineffective when installed in a RO desalting plant, significant CaSO4 scaling was generated on feed spacer and the water recovery decline accelerated approximately 3 times compared to control experiment57.

Most studies on operating parameters of EMF applications were limited to laboratory scale with total precipitation or bulk precipitation data only (Tables 14). Few researches provided both total precipitation and bulk precipitation44,46,104,117, the scale deposit on the pipe or plate surface can be estimated through subtracting bulk precipitation from total precipitation. Quantification of EMF improvement with different operating parameters is presented in Fig. 5. EMF played a better role on anti-scaling in slightly alkaline solution44,46. EMF seemed to have neutral or negative impact on anti-scaling with lower flow rates (0.2–0.4 m/s)44,46,104, while the performance of EMF was better at higher flow rate (0.5–1.3 m/s)110. EMF reduced the deposition of precipitated CaCO3 on plate surfaces at a wide temperature range of 20–80 °C. A growth of improvement was observed with increasing temperature, although reproducibility of the experiments at higher temperature (60–80 °C) was poor probably due to the metal surface corrosion (especially of aluminum and copper)117. Significant variation in different pH, flow rates, and temperatures was resulted from the difference of pipe/plate materials. As shown in Fig. 5, the application of EMF alleviated the scale adherent in glass and metal (stainless steel, copper, aluminum) surfaces, but aggravated scaling in plastic pipes such as Tygon and PTFE44,46,104,117. The effects of materials may contribute to the roughness as glass and metal pipes have smoother surfaces.

## Economic analysis

In order to prevent scale formation, conventional chemical treatment technologies have been intensively implemented with considerable consumption of scale inhibition chemicals. EMF could reduce the cost related to chemicals, operation and maintenance. The potential economic benefits of EMF are estimated by comparison with conventional treatment approaches.

Conventional methods of preventing scale formation can be broadly divided into three categories: (i) utilization of scale inhibitors; (ii) system cleaning; (iii) low water recovery for membrane systems11. System cleaning such as hydraulic flush and acid cleaning increases the energy, water, and chemical consumption. Operation at low recovery for membrane systems allows the concentration of scale forming ions to be limited to a certain level where precipitation starts118,121. However, operation at low water recovery increases treatment cost due to low efficiency and waste of water and energy. Thus, scale inhibitors, including anti-scalant and acid, are required if operating at higher water recovery in membrane systems, and they are the commonly used approaches to mitigate scaling in pipes and heat exchangers120. The recommended anti-scalant dosage by manufacturers is commonly below 10 mg/L, with typical range of 0.5–5 mg/L in RO applications. It is because these anti-scalants can serve as a source of nutrients, carbon, and trace elements, which promote biofilm growth120,122. Acid injection (i.e., sulfuric acid) to reduce feed solution pH in combination of anti-scalant dosing is of necessity in many cases. The unit weight cost of acid is only a fraction of that of anti-scalant, while it cannot be neglected considering the enormous dosing volume in large-scale systems, especially in treating water with high alkalinity. The combined costs of pH reduction and anti-scalant are considered as chemical cost. Chemical dosing of acid and anti-scalant for scale control is mostly included in large-scale RO systems, and acid cost could possibly several times higher than the cost of anti-scalant with the fluctuating market price of acid supply123. For instance, the 265,000 m3/day MF/RO plant of wastewater reuse in Los Angeles had $0.71 million annual cost for sulfuric acid at pH 7, while increased to$1.13 million for pH 6 in year 2005. In 2008, the soaring pricing of sulfuric acid increased the acid cost to $1.97 million and$10.4 million at pH 7 and 6, respectively. The annual costs of different proposed anti-scalant was maintained below $1 million. Moreover, cost of chemical storage, transport, addition and monitoring system, and extra man-hours of maintenance and training (e.g., safety of proper handling chemicals) contributed to other operating cost. Without proper control of scale formation, frequent and aggressive cleaning and/or replacing the failed components, the increased energy input to maintain production or service, or even shutdown, can be a substantial expense. As a non-chemical water treatment technology, EMF can avoid the problems and operating concerns in conventional chemical treatment. An RO plant incorporated with turbulence-promoting distributors and EMF achieved 13% capital cost and 18% energy saving as compared to the traditional ones124. More than 20% reduction of transmembrane pressure was observed with 30% reduction of down time on account of saving in membrane cleaning. A pilot comparison of chemical treatment over an EMF process using electric pulses and DC electric field for cooling towers was conducted at several facilities in California. More than 40% of total cost reduction was observed using EMF process with$104,067, contrast to \$187,475 using chemical treatment of a cooling tower125. Kitzman et al. demonstrated that the EMF treatment (using pulsed power) can run 6–8 cycles of concentration in cooling water system, compared to typical 3–5 circles using the conventional treatment, revealing increased significant annual cost reduction as increasing the size of cooling system (>2500 gallons)126.

## Conclusions and future perspectives

In the present review, we collected and studied the relevant literature targeting the challenge of scaling control in various water systems, including membranes, heat exchanger systems (e.g. cooling towers), pipes, and bulk solutions, then discussed a number of effects and factors pertaining to EMF water treatment and its anti-scaling effects. According to the more recent and acceptable results from the peer-reviewed scientific works collected in this review, it can be concluded that EMF facilitates bulk precipitation of crystals rather than adhesion to the wall of pipes and vessels. This conclusion is true for majority of the studies at laboratory-, pilot-, and full-scale experiments. However, some studies observed EMF resulted in no difference or negative impacts, probably attributing to the use of non-standardized methods, pipe materials, variations in water chemistry or differences in the course of the treatment.

The scaling prevention mechanisms of EMF can be summarized as hydration effects and magnetohydrodynamic phenomena, which can explain a wide variety of EMF effects. The conventional characterization methods of EMF anti-scaling tests are the weight of precipitates, the remaining concentration of ionic calcium, XRD, SEM, TEM, and EDX. Current real-time monitoring techniques include water/permeate flux, salt rejection, electrochemical tests, surface tension measurement, and optical instrument analysis. Potential real-time monitor techniques were also provided for future application in EMF study.

Based on the comparisons and discussions of EMF effects in the relevant literature, the impacts of operational parameter on EMF treatment efficiency are summarized in Fig. 6, and the primary findings are as following:

• EMF device configuration is not a primary factor for EMF efficiency.

• Higher EMF intensity and less homogeneous waveform contributed to less scaling, negligible effect of frequency was observed.

• EMF as a pretreatment of tested solution raised the anti-scaling efficiency, but different results were obtained when an EMF device placed directly on the scaling surface (co-treatment), probably related to RO system operational conditions.

• Precipitates usually scaled on membrane spacer or block the concentrate flow channel if water recovery is higher than 80%; moderate water recovery is the key factor for successful EMF application.

• The precipitation decreased, and less stable phase of scale was generated as increasing EMF exposure time.

• The impact of pipe material was complex, might be related to roughness of the material and leachate concentration; the total and the bulk precipitation increased simultaneously with roughness of the pipe.

• Higher flow rate improved bulk precipitation, but there is a maximum efficiency for an optimal water flow.

• The effect of EMF was proven to be selective depending on the type of scale: most EMF studies focused on CaCO3 and obtained positive results, while different effects of EMF were found on the membrane systems and bulk solutions when the primary precipitate is CaSO4 and BaSO4, probably due to the presence of spacer.

• The presence of suspended particles such as silica is necessary for EMF water treatment to be effective, which can adsorb metal ions and increase bulk precipitation.

• A slight change in pH could affect the precipitation, and the impact of EMF on homogeneous precipitation was more remarkable at lower pH.

• Various experiments implied that EMF had better performance in anti-scaling at higher temperature (>70 °C).

• The addition of anti-scalant is more efficient than EMF for membrane scaling control in membrane systems.

For future application, EMF with high intensity and less homogeneous waveform is recommended as a pretreatment for water systems. Longer exposure time and higher flow rate can enhance bulk precipitation. To reduce adherent scaling on the reactor surface, smooth surface and low leachate pipe materials such as glass and metal are recommended. Besides, moderate water recovery (<80%) for RO operation can avoid block of concentrate flow channel. Conventional RO spacer is an obstruct for success of EMF, a new open channel spacer will be advantageous to wash out bulk precipitates and enhance EMF efficiency.

The EMF improvement was quantified and compared based on available literature data. The potential economic savings of the EMF was also reviewed in the present work. This review could establish a series of standard operational parameters and enhance the application or interest for scaling control in large-scale water systems. Hence, additional reproducible studies are required to explore and elucidate the fundamental scientific basis for scaling prevention effects of EMF technologies. To better understand anti-scaling mechanisms, real-time monitoring techniques are needed to apply into EMF treatment systems.