Introduction

The emergence of industries and the irregular increase in urban population, followed by the development of agricultural areas, have increased urban, agricultural and industrial wastewater production containing various chemical compounds that could enter the aquatic ecosystem. Among these pollutants, heavy metals are of particular importance due to their high toxicity and adverse environmental impacts [1]. Therefore, removing heavy metal ions from wastewater has become an increasingly important issue in the past few decades due to economic and ecological considerations [2].

Among the heavy metals, manganese (Mn) is strategic due to its applications in various industries such as alloy makings, renewables (e.g., solar panels) and catalysts production. Therefore, it is highly likely to find some amounts of Mn ions in the industries’ waste streams, with consequent dramatic environmental impact and concerns. For this reason, its recovery from aqueous solutions is of particular importance [3].

The most common methods in pollutants removal are precipitation [4], adsorption [5], reactive distillation [6], electrodialysis [7], liquid–liquid extraction (solvent extraction) [8], and ion exchange [9]. The mentioned conventional separation techniques are not advantageous due to sewage, solid waste production, sludge treatment and disposal, high consumption rate of chemicals, high capital and operating cost, and chemical agent recycling complexity [10].

Nowadays, it is common to use membrane-based separation processes to overcome some of the declared disadvantages. The membrane separation processes are beneficial due to their low maintenance cost, ease of use and cleaning, and low energy consumption [11,12,13,14,15]. Liquid membrane-based separation technology has increasingly become a viable option for various separation processes due to its benign environmental impacts [16]. Among different liquid membrane techniques, emulsion liquid membrane (ELM) is considered a promising separation method due to its low cost, low energy consumption, large specific surface area, and high mass-transfer rate [17].

Particularly, it should be noted that the separation via ELM could be desirable as it simultaneously extracts, removes, and transfers the contaminants in one step from a large volume to a relatively small volume [18]. Moreover, emulsion liquid membranes can be used for the removal/extraction of various salts, metal ions, organic acids, amines from waste streams, and separation of hydrocarbons [19,20,21,22]

The ELM process consists of three essential phases [19,20,21]:

  • internal phase (stripping phase): a dispersed aqueous phase that is made up of stripping agents, deionized water, and the carried heavy metal ions;

  • external phase: a continuous phase of the feed, which is the source of contaminant metal ions;

  • membrane phase: a dispersed organic phase that separates the internal phase droplets from the external phase’s emulsion and usually consists of three components(i.e., diluent, surfactant (stabilizers), and carriers (that carry metal ions from the external phase to the internal phase)).

It should be noted that despite the effectiveness of this method in the laboratory, its commercial application in the removal of heavy metals has been limited and precluded due to the emulsion membrane instability [23] associated with membrane leakage and emulsion swelling. The main consequence of emulsion instability is the reduction in the extraction process’s efficiency [24].

Thus, in the appropriate choice of membrane formulation (organic phase), the mixing with suitable additives and surfactants and increasing the membrane phase’s viscosity are pivotal aspects to potentially reduce the instability of emulsion liquid membrane [25]. Simultaneously, it is essential to select the appropriate materials in the ELM process to achieve the highest recovery percentage.

Concerning the carrier, Cyanex families are widely used in the separation process of metals in hydrometallurgy. Cyanex 272 is considered in this work due to stability against heat and hydrolysis, high solubility in aromatic and aliphatic solvents.

For the organic phase membrane, diluents are one of the main components. Although diluents must have low solubility in water, they should provide high solubility for the carrier, have a high boiling point, suitable density, viscosity, flash point, polarity, low toxicity, and low cost [16, 17]. Among the most widely used diluents, kerosene [26] has been used as an organic diluent due to its favorable viscosity, ease of availability, and non-polar properties. Surfactants, as another component of ELMs, should provide stability in the emulsion structure. In addition to the proper selection of surfactants, the use of surfactants/nanoparticles mixture in the liquid membrane phase could increase membrane stability [27]. Davoodi-Nasab et al. [28] used a combination of Span 85 and multi-walled carbon nanotubes (MWCNTs) to improve emulsion stability in gadolinium ion extraction, using Cyanex 272 carrier. In another study, Raji et al. [29] used MWCNTs and Span 80 mixtures to increase the stability of liquid membranes devoted to the dysprosium removal.

The choice of the internal phase (stripping phase) is another key factor in the separation via the ELM method. The internal (stripping) phase has two important characteristics: (i) compatibility with other components used in ELM to increase the membrane stability and (ii) formation of a very stable complex with metal ions.

In this framework, the present work aims to investigate the feasibility of manganese ions removal from water via the ELM method. To achieve this aim, in the first step, the physicochemical factors affecting the stability of the emulsion liquid membrane were investigated, using one factor at a time (OFAT). Then, a design of experiment (DOE) analysis was performed through a fractional factorial design (FFD) approach, which was used as the screening method to identify the most influential factors on the experimental results (e.g., carrier concentration, emulsion-to-feed phase volume ratio, feed phase pH, water-in-oil-in-water (W/O/W) emulsion stirring time, and speed) [30]. Finally, response surface methods (RSMs) were employed to examine the levels of influencing factors. Central composite design (CCD), as one of the most widely used RSMs due to its versatility, was applied to compare the OFAT and CCD method results [31].

The OFAT method shows several drawbacks: it is mainly based on trials and errors, it usually does not follow any specific methodology, and, mainly requires a large number of tests. Thus, DOE is suggested as an addition or replacement to OFAT to overcome the mentioned shortcomings in the OFAT method, which, for example, could lead to evaluation of the membrane’s performance and identify the optimal conditions with fewer tests [32].

So far, to the best of our knowledge, no research has been performed to investigate the emulsion stability and recovery of manganese ions using ELM via the DOE method up to date.

Materials and Methods

Materials

Manganese II sulfate anhydrous (GR grade Merck) was used to prepare the feed (external) phase. Sulfuric acid (H2SO4), perchloric acid (HClO4), nitric acid (HNO3), and hydrochloric acid (HCl) (all from Merk) were used as the internal phase. Sorbian monooleate (Span 80), polysorbate 80 (Tween 80) and silica (SiO2) (all supplied from Sigma-Aldrich Co.) were used as emulsion stabilizers. Bis (2,4,4) trimethylpentyl phosphinic acid (Cyanex 272, Cytec Co., Canada) was applied as the carrier. Kerosene, n-heptane, and 1,2-dichloroethane (Sigma-Aldrich Co.) were utilized as an organic phase. Nitric acid (HNO3) and sodium hydroxide (NaOH) were used for adjusting pH (Merck Co.). Deionized (DI) water was used in all solutions preparation and in the performed tests.

Apparatus

Shin Saeng laboratory stirrer (model SDS-41D, Korea) was used to mix the solutions during the extraction process. A shaking water bath (model SWBR27, Shel lab Co.) was used to monitor the temperature. A laboratory homogenizer (T25 digital ultra-Turrax, model IKA) was employed to prepare the initial emulsion. A Malvern Zeta sizer was used to measure nanoemulsion’s size distribution by means of the dynamic light scattering (DLS) method. A 3505 pH meter (Jenway Co.) was used to measure the pH of aqueous solutions. The concentration of manganese ions in feed samples was measured using an atomic absorption spectroscopy (AAS) AA300 (Perkin Elmer Co.). Infrared spectroscopy (Bruker Tensor 27, USA) (FTIR) was used in the wavenumbers range of 400 to 4000 cm−1 to investigate the functional groups present in the membranes.

Procedure

Figure 1 represents the schematic view of the ELM process for manganese separation. In the first step, the internal and membrane phases should be mixed to construct the W/O emulsion. Hence, various acid solutions, such as HClO4, HNO3, HCl, and H2SO4, with concentrations ranging from 0.2 to 2 M, were prepared as the internal phase. Then surfactants (SPAN 80, TWEEN 80), carrier material (Cyanex 272), and SiO2 nanoparticles with different concentrations were added to the diluent (kerosene) to form the organic (membrane) phase. The internal phase was added dropwise to the organic (membrane) phase under severe agitation at different rates (ranging from 8000 to 14,000 rpm) using the lab homogenizer to make the W/O emulsion. Moreover, a solution of 500 ppm manganese sulfate was prepared as the external (feed) phase.

Fig. 1
figure 1

A schematic of the experimental setup

Nitric acid (0.1 M) and sodium hydroxide (0.1 M) were used to adjust the external phase (feed phase) pH. Next, the primary emulsion (W/O) was added to the external phase containing the manganese ions. The extracting vessel was placed in a water bath to keep the temperature constant. Then sampling was performed at specific time intervals using 5 ml syringes. Afterwards, the samples were centrifuged to separate the organic phase from the feed phase. Measurement of the residual manganese content in the aqueous phase for each sample was done by atomic absorption spectroscopy at a wavelength of 172 nm. The extraction percentage (E%) of manganese ions concentrations was calculated using Eq. (1):

$$ E\% = \left[ {\frac{{C_{0} - C_{{\text{t}}} }}{{C_{0} }}} \right] \times 100, $$
(1)

where C0 is the initial metal ion concentration in the feed solution, and Ct is the metal ion concentration in the feed solution at time t

The stability of the emulsion was calculated via Eq. 2:

$$ {\text{Leakage}} = ~\frac{{V_{{\text{R}}} }}{{V_{i}^{0} }}~ \times 100, $$
(2)

where V 0i is the initial volume of the internal phase and VR is the volume of the leaked internal phase to the external phase and calculated via the following relation:

$$ V_{{\text{R}}} = V_{{\text{e}}}^{0} \times \frac{{10^{{{\text{pH}}_{{\text{e}}}^{0} }} - 10^{{{\text{pH}}_{{\text{e}}}^{{\text{t}}} }} }}{{10^{{{\text{pH}}_{{\text{e}}}^{t} }} - C_{{{\text{H}} + ,i}}^{0} }}, $$
(3)

where \({V}_{e}^{0}\) is the initial volume of the external phase, \({C}_{\mathrm{H}+,\mathrm{i}}^{0}\) the initial concentration of H+ in the internal phase, \({\mathrm{p}\mathrm{H}}_{e}^{0}\) the initial pH of the external phase, and \({\mathrm{p}\mathrm{H}}_{e}^{t}\) the external phase pH collected via the separating funnel at any sampling time (t).

In the DOE analysis, the FFD method was firstly used to identify the factors affecting the manganese ion extraction process. FFD method at 1/2 level with a resolution of IV was used to reduce the number of experiments. For this purpose, the lower and upper levels of each factor were determined (Table S1). The software was designed with 32 test steps. According to Table S2, the proposed points of each factor were identified. Then, the amount of manganese ion extraction in each step was obtained using Eq. 1. The analyses were then performed to identify the number of factors affecting the manganese ion extraction process. The design of the experiment using the CCD method was also carried out according to the instructions of the FFD method. In this way, the high and low levels of factors were introduced to the software (Table 1). Then, based on the experimental design matrix (Table S4), manganese ion extraction experiments were performed, and the desired analyses were carried out on the responses.

Table 1 Levels of factors in the central composite design

Results and Discussion

Membrane Stability

The stability of the ELM is one of the most important parameters and strongly affects the extraction performance. Membrane break-up causes a decrease in the separation efficiency due to the leakage of the separated ions from the internal to the external phase [33]. The main causes of emulsion breakage are osmotic swelling, coalescence, creaming, sedimentation, and flocculation of droplets. There are several methods to increase emulsion stability. One way to improve emulsion stability could be using a mixture containing blended surfactants and nanoparticles [27]. Factors, such as emulsification rate and time, type, and concentration of the surfactant and the internal phase, and the internal phase/membrane phase volume ratio, affect the membrane stability. In this section, all the influencing factors on membrane stability and its separation performance are studied.

Effect of Diluent Type on ELM Stability

In this study, a few commercial diluents, widely used in the ELM system, were employed to investigate their effect on the emulsion stability in terms of leakage percentage vs contact time (min) (Fig. 2a–d). The commercial diluents used in this study were kerosene (μ = 1.3 cP and ρ = 810 kg/m3), n-heptane (μ = 0.386 cP and ρ = 684 kg/m3), and 1,2-dichloroethane (μ = 0.84 cP and ρ = 1253 kg/m3) [18]. Figure 2a shows the effect of the diluent type on the emulsion stability. As depicted in Fig. 2a, kerosene and n-heptane employment led to the most and the least emulsion stability, respectively. The greater stability of the emulsions evidenced in the case of kerosene could be due to its density (e.g., similar to water density) and viscosity (relatively high viscosity).

Fig. 2
figure 2

Effect of a diluent type, b emulsification rate, c emulsification time, and d type of internal phase on the stability of the W/O/W emulsion. (A full list of experimental conditions in the ELM stability section is reported in Table S5)

Effect of Emulsification Rate on ELM Stability

The rate of emulsion homogenization plays a pivotal role in emulsion stability and extraction efficiency. Figure 2b illustrates the effect of the emulsification rates on the stability of the W/O emulsion, investigating a homogenizer speed range of 8000–14,000 rpm. As presented in Fig. 2b, on the one hand, an increase in the homogenizer rate from 8000 to 12,000 rpm led to an increment in the efficiency of the membrane stability, which can be related to appropriate mixing and reduction of surface tension between the aqueous and organic phases, as well as an increase in the number of the droplets. On the other hand, with increasing the emulsification rate beyond 12,000 rpm, the membrane stability decreased, and a highly viscous, “creamy-like” emulsion was formed. This could be due to the foaming with the formation of several air bubbles in the emulsion due to severe agitation and, hence, a drastic increase of the emulsion viscosity.

Figure 3 demonstrates the DLS size distribution of W/O emulsion droplets at different emulsification rates (8000–14,000 rpm). It is observed that the mean intensity of the average droplet size monotonically decreased with increasing the emulsification rate from 27.5% (8000 rpm), 22.5% (10,000 rpm), 15% (12,000 rpm), and 12.5% (14,000 rpm). It is evident from Fig. 3 that with an increase in the emulsification rate, the droplet size decreases from ~ 96 nm (8000 rpm) to ~ 75 nm (10,000 rpm), ~ 42 nm (12,000 rpm), and ~ 18 nm (14,000 rpm).

Fig. 3
figure 3

DLS size distribution of W/O emulsions at different emulsification rate in the range 8000–14,000 rpm

Emulsification rate can have different effects on emulsion stability. In general, W/O emulsions with small diameter droplets tend to resist the phase separation and display relatively high stability. However, it should be noted that if the diameter of the W/O emulsion droplets is very small, in the extraction process (W/O/W), due to the presence of a more significant number of internal phase globules in the membrane phase, the liquid membrane becomes thinner and is followed by emulsion breakdown. In contrast, in W/O/W emulsion containing large diameter droplets, the separation efficiency decreases due to the droplets’ coalescence, a low surface-to-volume ratio, and a low mass-transfer rate [34, 35].

Effect of Emulsification Time on ELM Stability

Experiments were performed with different emulsification times in the range of 2.5–17.5 min to investigate its influence on ELM stability. Figure 2c demonstrates the effect of the emulsification time during the W/O emulsion preparation on its final stability. As depicted in Fig. 2c, the highest emulsion stability was obtained when the emulsification time for the preparation of W/O was 7.5 or 12.5 min. For an emulsification time less than 7.5 min, the membrane leakage rate was high, possibly due to the lack of homogenization of the internal phase droplets and their large diameter in the membrane [36]. However, a further increase in the emulsification time above 12.5 min led to a decrease in the membrane stability thanks to the formation of new emulsion interfaces and to the reduction in the available surfactant molecules unit area of the droplets [25]. Therefore, emulsification time of 12.5 minutes was considered to achieve sustainable emulsion stability.

Effect of The Internal Phase Type on ELM Stability

Another practical influencing factor in ELM stability is the type of internal phase. In this regard, the effect of HClO4, NH3, HCl, and H2SO4 as internal phase on the membrane’s stability was investigated. As shown in Fig. 2d, the membrane containing sulfuric acid as the internal phase was more stable than other membranes containing HClO4, NH3, and HCl. This increase in emulsion stability due to sulfuric acid can be attributed to the metal sulfates’ higher solubility [36]. Hence, as evident in Fig. 2d, the emulsion stability decreased when metallic salts were formed in the receiving phases, disrupting the internal phase surface properties with a consequent higher chance of internal phase globules coalescence and, finally, membrane breakdown. Therefore, once the salts’ formation in the receiving phase occurs, the membrane structure becomes unstable and breakdowns. Othman et al. [37] used sulfuric acid and hydrochloric acid in the internal phase and studied their impact on emulsion stability. They stated that the use of sulfuric acid in the internal phase increased the emulsion’s stability compared to hydrochloric acid, in agreement with our results.

Effect of the Internal Phase Concentration on ELM Stability

Obtaining the internal phase’s optimal concentration is of particular importance in studies on the emulsion stability in the ELM technique [38], and much research has been performed on this topic. Thus, in the present study, sulfuric acid solutions concentrations ranging from 0.1 to 2 M were tested. As depicted in Fig. 4a, the most stable W/O/W emulsion was obtained using 1 M sulfuric acid solution as the internal phase, and thus, 1 M was selected as the optimal internal phase concentration. Indeed, with an increase in the internal phase concentration from 1 to 2 M, the emulsion stability decreased. It should be noted that the decrement of the emulsion stability with increasing the internal phase concentration may be related to the osmotic swelling [25, 39].

Fig. 4
figure 4

Effect on the emulsion stability of a internal phase concentration, b surfactant type, c surfactant concentration, and d membrane phase volume ratio to internal phase. (All experimental conditions used of each factor in the ELM stability section were reported in Table S5)

Comparable results were reported in previous research works. Fouad et al. evidenced that the most stable emulsion in the zinc ion extraction tests was achieved when a 1.5 M sulfuric acid solution was used as the internal phase [40]. Gasser et al. [41] obtained the optimal EML stability in cobalt ion extraction with a sulfuric acid solution concentration of 0.5 M.

Effect of the Surfactant Type on ELM Stability

The selection of suitable surfactants types and their optimal concentrations could improve the emulsion stability, reducing the swelling behavior and emulsion breakage, and, thus, facilitating the ion metal extraction [42]. Indeed, the addition of surfactants leads to a reduction in the surface tension between phases due to their liquid–liquid interface positioning [43, 44].

In this study, two types of surfactants, Span 80 and Tween 80, and a combination of them were used to evaluate the influence of the surfactant type on the stability degree. In addition, silica nanoparticles were used to enhance the emulsion stability and performance of the ELM system. As illustrated in Fig. 4b, the use of Tween 80 produced the least stable emulsion compared to Span 80, perhaps due to its lower solubility in the organic phase and lower hydrophobicity [45]. As shown in Fig. 4b, mixing 20 wt% ​​of Tween 80 to 80 wt% ​​of Span 80 enhanced the emulsion stability. This increase in stability can be attributed to the Tween 80 and Span 80 molecules’ synergistic relationship, which leads to the creation of a stable network, reducing the droplets coagulation and ultimately preventing emulsion breakage [45, 46]. Moreover, the results showed that the addition of silica particles improved the stability of the membranes to the extent that, even after the extraction time of 20 min, the leakage remained below 15%. It should be noted that the membrane leakage for different considered cases became evident when the extraction duration was more than 7 min.

Effect of the Surfactant Concentration on ELM Stability

Apart from the surfactant type, the surfactant concentration plays a significant influence on the emulsion stability. In this study, the effect of surfactant concentration in the range of 1 to 7% (w/v) on the emulsion stability was investigated. As shown in Fig. 4c, emulsion stability increased with increasing surfactant concentration from 1.5 to 5% (w/v). However, with a further increase in the surfactant concentration beyond 5%, the emulsion stability decreased. In general, with increasing the surfactant concentration, the surface tension between the phases decreases, which leads to an increase in the stability of the smaller droplets and the emulsion [47]. However, when the surfactant concentration passes a threshold, i.e., critical micelle concentration (5% w/v in this study), it promotes the formation of the reversed micelles in the aqueous phase, which in turn facilitates the aggregation of the globules and, therefore, destabilizes the emulsion [18]. Moreover, the internal phase’s osmotic pressure could increase with the surfactant concentration and lead to the membrane phase’s swelling and breakages. Therefore, 5% v/w was chosen as the optimum value.

Effect of Volume Membrane Phase to the Internal Phase Ratio on ELM Stability

The organic (membrane) phase to the internal phase volume ratio is another factor to monitor the emulsion stability. As depicted in Fig. 4d, the emulsion stability increases with an increase in phases’ volume ratio. On the one hand, a low volume ratio could not encapsulate the internal phase droplets, thus, producing larger droplets diameters. Therefore, this resulted in the formation of a thinner membrane layer that adversely impacted the membrane stability. On the other hand, an increase in the volume ratio of organic phase to internal phase beyond 12:15 (v/v) formed a polydispersed emulsion with a large enough droplet diameter to promote instability and break into a film rather than dispersed globules. Therefore, to prepare a more stable W/O/W emulsion, which may contain a more uniform globule, the volume ratio of 12:15 (v/v) was considered.

Selection of the Essential Factors Influencing the ELM Process

Fractional factorial design (FFD) was used to screen and identify the experimental results’ influential factors. The factors expected to affect the treatment via the ELM method, with their specified high and low levels, are collected in Table S1. Minitab 18 software was used to design the experiments through the FFD method. Manganese removal percentage was selected as the response. The design matrix following with the percentage of manganese removal in each test is presented in Table S2. Fig. S1a, b depicts the Pareto graph and typical plot which are used in the determination of factor significance in the FFD method. As demonstrated in Fig. S1a, factors such as W/O/W emulsion stirring time (J), W/O/W emulsion mixing rate (K), carrier concentration (D), and feed phase/emulsion volume ratio (G) were more effective than the other factors. Furthermore, as shown in the normal plot (Fig. S1b) and as reported in Table S3, it is evident that the pH of the feed phase (A) exerts a significant effect on both the organic/H2SO4 volume ratio factor (E) and emulsion volume/feed phase ratio factor (G). The resultants of these two factors (AE and AG) significantly affect the response rate. Therefore, feed phase pH (A) was also selected as one factor influencing the response rate.

Investigating the Influence of the Selected Major Factors on Manganese Extraction

Carrier Concentration

As shown in Fig. 5a, with an increase in the carrier material concentration from 0 to 7.5% (v/v), the Mn extraction rate increased. However, by increasing the carrier concentration from 7.5% (v/v) to 10% (v/v), the extraction rate decreased. Indeed, by excessively increasing the carrier concentration, the membrane phase’s viscosity increases, resulting in elevating the resistance against mass transfer and reducing the extraction efficiency [36]. The carrier in the membrane phase plays two important tasks:

  • the transmission of manganese ions between the external phase (feed) and the internal phase (stripper) within the membrane phase;

  • the improvement of the ELM process selectivity.

Fig. 5
figure 5

Effect on the extraction ratio of Mn (II) of a carrier concentration, b emulsion volume/feed phase ratio, c W/O/W emulsion stirring speed, d W/O/W emulsion stirring time, and e feed phase pH. (All experimental conditions used of each factor in the manganese extraction section was reported in Table S5)

On the one hand, if the carrier concentration is low, the extraction rate is low due to the lack of complex formation to transfer the heavy metal ions. Additionally, the presence of the carrier molecules in the membrane phase may decrease the emulsion stability as they compete with the surfactants to be adsorbed at the interface of the internal phase and the membrane phase [48]. On the other hand, if the carrier concentration increases to a certain extent, the viscosity increases. Due to a decrease in mass transfer, the extraction efficiency decreases [49]. The carrier concentration of 7.5% was chosen as the optimal concentration in this work.

Emulsion (W/O) Phase to Feed Phase Volume Ratio

The emulsion (W/O) phase/feed phase volume ratio plays a vital role in the extraction process and strongly influences the amount of extraction by emulsion. As illustrated in Fig. 5b, increasing the volume ratio of the W/O emulsion (made up of the internal phase and the membrane phase) to feed phase from 1/10 (v/v) to 2/10 (v/v) in the external phase slightly improved the extraction rate. However, increasing the emulsion to external phase volume ratio beyond 2/10 decreased the extraction rate. Generally, with an increase in the volume ratio of the W/O emulsion to feed phase, the membrane capacity for Mn separation, the mass-transfer rate, and the number of W/O/W globules would increase, and consequently enhance the separation rate. However, increasing the emulsion amount in the feed would introduce more internal phase droplets with their acidic content and hence facilitate the leakage of the internal phase, resulting in a reduced extraction rate of Mn ions [50, 51]. Therefore, the best ratio of the emulsion phase volume to the external phase was considered to be more than 2 to 10 (100 to 500 ml) to extract more manganese ions.

W/O/W Emulsion Stirring Rate

Another important factor affecting the membrane stability and extraction efficiency in the ELM process is the stirring rate of W/O/W emulsion. On the one hand, increasing the mixing rate can form smaller globules, improve the mixture’s uniformity (i.e., reduce the swelling of internal phase droplets), and decrease the separation process’s mass-transfer resistance. In fact, since the mass transfer within the membrane controls the ELM process’s mass transfer, a reduction in the membrane droplets could increase the extraction efficiency [52, 53]. On the other hand, this increase in speed could lead to a rise in the emulsion cells’ breakage due to increased mechanical interaction.

In general, it is important to stir the emulsion at the appropriate rate and keep it steady during the test to maintain the membrane stability and minimize emulsion swelling and breakage [54]. As shown in Fig. 5c, the stirring rate’s extraction efficiency at 450 rpm was the highest for any given contact time.

W/O/W Emulsion Stirring Time

The rate of mass transfer and extraction is directly related to the contact time. On the one hand, a stirring time rise can increase the mass transfer and the rate of extraction. On the other hand, an excessive increase in the contact time leads to a reduction in the extraction rate due to the internal phase’s leakage into the external phase. It should be noted that the extraction rate would be maximum in the early stages of the process due to the high rate of mass transfer [20, 55]. As time increases, droplets’ swelling rises, increasing the internal phase volume and causing the emulsion to disintegrate. The high contact time increases the emulsion’s water transfer rate and the emulsion [20, 55]. According to Fig. 5d, the extraction rate increased initially with increasing contact rate.

Nevertheless, after 15 min, the extraction rate gradually decreased. As time increased, the ELM became less stable (perhaps due to swelling), and the extraction rate decreased. Therefore, 15 min is the best time for the W/O/W emulsion stirring time factor to achieve the maximum amount of manganese ion extraction.

Feed Phase pH

It is stated that the H+ concentration difference between the two aqueous phases (i.e., internal and external phases) plays an important role in the extraction of the metal ions [56, 57]. The amount of manganese dissolution in the organic phase directly depends on protons’ concentration in the external phase [36]. In this research, a pH range between 1 and 7 was tested for the feed phase. The manganese ions began to precipitate in the form of manganese sulfate salt at pH above 8. Hence, the primary internal phase (e.g., NH3) was not suitable for testing. Besides, very acidic environments caused emulsion breakdown and low manganese ion extraction. It should be noted that the mass transfer of metal ions occurred when the pH in the internal phase was lower than that of the external phase. As depicted in Fig. 5e, the best extraction conditions occurred at pH 4.

Investigation of Selected Minor Factors for the Manganese Extraction

In addition to the primary factors reported in Sect. 3.3, the effect of other identified parameters on the Mn separation was studied. 500 ppm was considered as manganese sulfate concentration in the external phase. According to the stability experiments, a mixture composed of 80 wt% Span 80, 15 wt% Tween 80, and 5 wt% silica provided the highest stability and was selected as the optimal surfactant stabilizer concentration in the extraction tests. The volume ratio of the organic (membrane) phase to the internal phase is equal to 12/15 (v/v) resulted in the optimum ratio. The optimal duration and rate for W/O emulsification were found to be ~ 12 min and 12,000 rpm, respectively, and considered for the experiments optimization.

Mechanism of the Manganese Ions Separation

Extraction by Cation Exchange (Extraction by Acidic Carrier)

In a cation exchange extraction system, the extraction of a cation is accompanied by substituting a number of extraction molecules equivalent to that cation’s electric charge. Groups of organic molecules that contain exchangeable protons are called acidic carriers (cation exchangers). For the extraction of Mn+ metal ion by acidic extractor (HL), the reaction can be written as follows[58]:

$$ {\text{M}}_{{{\text{aq}}}}^{{n + }} + n{\text{HL}}_{{{\text{org}}}} ~ \leftrightarrow ~{\text{ML}}_{{n,{\text{org}}~}} + n{\text{H}}_{{{\text{aq}}}}^{ + },$$

where \( M_{{\text{aq}}} ^{{(n + )}} ,{\text{HL}}_{{{\text{org}}}} ,ML_{{(n,{\text{org}})}} \;{\text{and}}\;nH_{{\text{aq}}} ^{ + }, \) are the metal ions in the feed, the used carrier, the ion metal-carrier complex, and the hydrogen ions released during metal complex formation, respectively. For manganese metal, the constant n is equal to 2, that is, the Mn normal oxidation number. The equilibrium constant, Kex, based on the reported reaction, would be

$$ K_{{{\text{ex}}}} = ~\frac{{\left[ {{\text{ML}}_{n} } \right]_{{{\text{org}}}} \left[ {{\text{H}}^{ + } } \right]_{{{\text{aq}}}}^{n} }}{{\left[ {{\text{M}}^{{n + }} } \right]_{{{\text{aq}}}} \left[ {{\text{HL}}} \right]_{{{\text{org}}}}^{n} }}. $$
(4)

In addition, the ratio of coefficient distribution (D) is defined as follows (Eq. 5):

$$ D = ~\frac{{\left[ {{\text{ML}}_{n} } \right]_{{{\text{org}}}} }}{{\left[ {{\text{M}}^{{n + }} } \right]_{{{\text{aq}}}} }}. $$
(5)

By substituting the distribution coefficient in Eq. 4 in a logarithmic form, Eq. 6 will be obtained:

$$ \log D = \log K_{{{\text{ex}}}} + n\log \left[ {{\text{HL}}} \right]_{{{\text{org}}}} + n{\text{pH}}. $$
(6)

By plotting the log D vs log [Cyanex 272] (concentration of the used carrier), with the pH constant (pH 4), a linear slope equal to the number of acidic ligands in the extraction complex is obtained (Fig. 6a). The obtained plot perfectly matched a straight line with a slope of 2.01 (R2 = 0.99), indicating that the ion exchange with 2 mol of the Mn (II) ions in the extraction process is possible and confirms the extraction equilibrium reaction.

Fig. 6
figure 6

a Plot of log D versus log [Cyanex 272] (pH 4, O:A = 1:1); b A schematic representation of manganese ions extraction using ELM technique; c Comparison of FTIR spectra before and after the extraction process

Mechanism of Manganese Ions Extraction Using ELM Technique

The mechanism of Mn ions extraction using the ELM technique is schematized in Fig. 6b. Mn2+ ion in the external phase reacts with the (HL)x(org) carrier, a protonated ion-exchange liquid extractor dissolved in the membrane phase, to form the MLn(HL)(mx-n)(org) complex with the release of H+ (aq) or proton that enters the external phase. Then, the manganese complex passes through the membrane to the interface between the membrane phase and the internal phase containing concentrated H2SO4, where the stripping reaction occurs. The concentrated acid in the internal phase promotes the manganese ions release from the membrane phase into the internal phase. Instead, the internal acidic solution donates its protons to the carrier in the membrane phase, decreasing the concentration of the MLn (HL) (mx-n) (org) at the interface of the internal phase. This sharp difference in the concentration of the manganese complex between the internal and external phases creates a strong driving force for transferring the manganese complex into the internal phase, which increases the extraction rate. In this method, the concentration of manganese ion in the internal phase can be 70 times higher than the external phase. Besides, the Fourier Transform Infrared spectroscopy (FTIR) analysis was performed to confirm the occurred Mn ions extraction, identifying the characteristic functional groups before and after the extraction process in the range of 500–4000 cm−1.

As demonstrated in Fig. 6c, the IR spectra differed before and after Mn extraction due to the complexes’ formation after extraction. In both spectra, the peaks at ~ 3380 cm−1 and ~ 3282 cm−1 can be ascribed to O–H stretching, suggesting Span80 and kerosene presence in the membrane [59]. In addition, a peak at 1740 cm−1 confirmed the presence of C=O stretching vibration associated with Span 80. Tween 80 presence was found in the membrane phase with the detection of N–H bending and C–N stretching peaks at 1468 cm−1. The peak centered at 3640 cm−1 was assigned to O–H stretching [60]. The newly observed peak of the IR spectra after extraction at 2285.02 cm−1 could indicate the complex formation of manganese and Cyanex 272.

Manganese (II) Ion Extraction Using Design of Experiment

In this research, the CCD was used to optimize the number of experiments. In the Minitab 18 software, due to the use of a 1/2 level FFD screening step, the optimization was done with five different significant factors on the system and using a CCD of type 1/2. Eventually, a total number of 64 experiments (52 of them related to non-central points and 12 to central points) was suggested. The five major factors that were selected from the FFD design method included: carrier concentration, feed phase pH, feed phase/emulsion volume ratio, and W/O/W emulsion stirring rate and stirring time. For achieving acceptable accuracy, the experiments were repeated three times, at least. Table 1 shows the high and low levels of factors involved in the CCD experiment. Moreover, Table S4 presents the response matrix design results for the manganese recovery using the CCD method.

The residual plots (Fig. 7a–d) and ANOVA table (Table. S6) were used to evaluate the adequacy and accuracy of the models developed in the CCD, respectively. The residual plots should have the following characteristics: the normal probability plot should be linear, the residuals must be roughly independent of each other, their variance must be constant for all the different variable values, and there should not be a pattern in the plot of residuals vs the predicted values. The linear trend in Fig. 7a confirms that the data have a suitable distribution. There is no evident trend in Fig. 7b and d, which also confirms the model adequacy. Finally, in Fig. 7c (histogram), the residual changes should follow a normal distribution to indicate the data’s adequacy [61].

Fig. 7
figure 7

Residual plot diagrams: a normal probability plot, b versus fits, c histogram, and d versus order for model adequacy in the CCD method

ANOVA table was used to check the accuracy of the model. As reported in Table S6, the model’s p value and the model’s lack of fit were significant and insignificant, respectively, indicating the model accuracy and adequacy. In addition, the F value of the model (~ 37.7) confirms the meaningfulness of the model (less than 0.01% error). R2 (adj) value in the sample is 87.49%, showing that the developed model covers ~ 88% of the data. With a thorough investigation of the diagrams and ANOVA table, it was concluded that the proposed model was suitable for investigating the factors affecting the response rate.

Equation 7 is used to predict the response based on the specified factors (e.g., factors X1 to X5 in Table S4) [62]:

$$ Y = \beta _{0} + \sum \beta _{i} X_{i} + \sum \beta _{{ii}} X_{i}^{2} + \sum \beta _{{ij}} X_{i} X_{j}, $$
(7)

where Y, β0, βi, βii, and βij are the predicted response (Mn extraction %), constant, linear coefficient, coefficient of the squared effects, and coefficient of the interaction effect, respectively. Equation 7 is solved in Minitab 18 software to estimate the coefficients. The meaningfulness of each sentence in the regressed equation (Eq. 7) is determined by the variance analysis (ANOVA) for each response. For any Xi2 and XiXj in Eq. 7, the related P value was estimated. In the cases with values greater than 0.05, the βii and βij coefficients were set to zero. The final form of Eq. 7 after analysis and regression is

$$ \begin{aligned} {\text{Manganese}}\;{\text{Removal}} = &\, 80.12 - 3.39_{X1} + 10.51_{X2} + 4.52_{X3} + 1.94_{X4} + 12.24_{X5} \\ & \; - 2.98_{X1}^{2} - 2665_{X2}^{2} - 4.14_{X5}^{2} - 2.66_{X1*X2} \\ & \; - 2.99_{X2*X5} + 4.53_{X3*X4} - 3.17_{X3*X5} \\ \end{aligned}. $$
(8)

Contour plots are shown in Fig. S2a–k. It should be noted that the highest removal in Fig. S2a was achieved when the carrier concentration (X2) and emulsion/feed phase ratio (X1) were approximately within 7–10 and 1–5, respectively. In contrast, in Fig. S2h, the least response was found for a W/O/W emulsion stirring rate (X5) of less than 300 rpm with a carrier concentration (X2) below 3 (wt%).

Three random conditions were chosen to check the accuracy of the software’s proposed optimum conditions, and the optimum conditions were experimentally tested (Table 2). The results were then reported in Table 2 and Fig. S3, demonstrating that the highest removal was achieved via the optimum conditions suggested by the software.

Table 2 Comparison among the values of the factor obtained under the optimum and three random conditions

Conclusions

In this work, a complete experimental protocol to demonstrate the feasibility of manganese ions removal from water via the ELM method was set up in three steps. In the first step, the physicochemical factors affecting the stability of the liquid membrane were investigated. Then, the FFD method was applied to identify the main parameters that can influence the manganese extraction, such as carrier concentration, emulsion-to-feed phase volume ratio, feed phase pH, water-in-oil-in-water (W/O/W) emulsion stirring time, and speed.

In the last step, after the determination of the appropriate factors range, the central composite design was used to optimize them, comparing the experimental results obtained via OFAT and DOE. The optimized results showed that with the emulsion volume/feed phase ratio ~ 3, carrier concentration ~ 8, feed phase pH ~ 4, W/O/W emulsion stirring duration ~ 17 min, and W/O/W emulsion stirring rate ~ 450, and the highest extraction rate (~ 97%) can be achieved.

In conclusion, the proposed and developed experimental protocol could be considered as an easy and efficient tool for identifying the optimal parameter in the Mn water extraction by ELM, paving the way for applications to other heavy metals, with significant impacts from the environmental point of view.