Effect of Nanobubbles on the Flotation Behavior of Microﬁne-Grained Serpentine

: At present, scholars mainly study the relationship between nanobubbles and useful minerals, often ignoring the inﬂuence of bubbles on ﬁne gangue minerals. When selecting nickel sulﬁde ore, scholars often faced with mudded and irrepressible serpentine, which seriously affects the quality of the concentrate. This mudded serpentine mineral often enters foam products with bubbles. In this study, the role of nanobubbles in the ﬂotation behavior of hydrophilic serpentine was examined. Nanobubbles were successfully prepared via ultrasonic cavitation, with sizes ranging from 50 to 250 nm. The size and number of bubbles produced at 1 min and 2 min of sonication were signiﬁcantly better than those of the prolonged test group, and it was found that longer sonication time did not produce better results. The stability of the nanobubbles produced via ultrasound was studied, and it was found that the nanobubbles were stable, with no change in size and only a slight decrease in number as the resting time increased. Nanobubbles were introduced into serpentine ﬂotation, we found that the presence of nanobubbles signiﬁcantly reduced the ﬂotation recovery of serpentine. The presence of nanobubbles reduced the froth entrainment rate of microﬁne-grained serpentine, which in turn reduced its ﬂotation rate. In the depressant group trials, it was found that the nanobub-bles also reduced the amount of depressant. In short, the presence of nanobubbles can prevent the ﬂoating of ﬁne hydrophilic gangues during ﬂotation.


Introduction
Froth flotation represents a widely employed technique within the realm of mineral in mineral processing, particularly in the context of sulfide ore separation.It is a physicochemical process based on assessing the surface chemistry differences in the presence of flotation chemicals between valuable/economical minerals and gangue minerals using bubbles in the pulp.The particle size of minerals is an essential factor affecting flotation efficiency [1].For the conventional flotation of sulfide ores, the optimal particle size range typically falls within the spectrum of 0.01 to 0.3 mm.Still, with the depletion of highquality resources, it becomes necessary to process poor ores with extremely fine inlay grain size, which is somewhat overwhelming for conventional flotation techniques.In this regard, numerous studies have found that nanobubble flotation can improve the flotation Minerals 2023, 13, 1299 2 of 12 of fine-grained minerals [2,3].Nanobubbles, alternatively referred to as microbubbles, are minute bubbles with diameters measuring less than 1 µm [4].Various methods have been developed for their production, encompassing techniques such as solution replacement [5], electrochemical electrolysis [6], ultrasonication [7], and hydrodynamic cavitation [8,9].One of the main reasons for the preparation of nanobubbles using ultrasound is that sound waves cause liquid to fluctuate between negative and positive pressure, where the gas nuclei in the water form and grow during the negative pressure period and then contract during the favorable pressure period.The bubbles burst if they exceed a critical size [10].Ultrasonic bubble formation occurs away from the pressure wave belly.The resulting bubbles form in filamentous dendritic clusters, which are, in turn, surrounded by many tiny bubbles that repeatedly clump together and break up [11].Under the action of cavitation and primary Bjerknes forces in the ultrasonic field, the gas nuclei on the particle surface gradually grow, aggregate, and then form tiny bubbles, driving the particles to aggregate at the acoustic pressure nodes [12].In a study by Chen et al. [13], it was observed that, under 200 kHz high-intensity focused ultrasound (HIFU), only stable cavitation bubbles were generated on the hydrophobic silica surface.This in turn contributed to particle agglomeration, while no accumulation was formed in the hydrophilic silica suspension.
With the in-depth study of nanobubbles, many research results have shown [14][15][16][17] that nanobubbles with large specific surface area and high surface energy are more selective than general bubbles and easily attach to hydrophobic solid surfaces [13,18].When nanobubbles approach proximity, they establish nanobubble bridges [19], a phenomenon that fosters the agglomeration of microfine mineral particles, bolstering the flotation uplift process.Chen et al. [20] harnessed ultrasonic standing waves operating at 200 kHz to treat finely grained coal, inducing cavitation bubbles to form on the surfaces of hydrophobic coal particles.If the size of the cavitation bubble is larger than the resonance radius, bubblefilled coal particles move to the nodes of the ultrasonic standing wave due to an acoustic radiation force, leading to the rapid aggregation of fine coal particles.Micro-flotation results show that flotation efficiency is significantly improved after ultrasonic standing wave treatment.Mitra et al. [21] undertook an investigation involving a suspension of hydrophobic glass microspheres characterized by larger particle sizes, employing periodic ultrasonic pulses to do so.The ultrasonic pulses caused the creation of many cavitation bubbles in the liquid in the acceptable size range.It was observed that these bubbles formed particle clusters with the glass microspheres, which attached to relatively large carrier bubbles to form stable bubble-particle aggregates that subsequently floated upwards.Fan et al. [22] found that nanobubbles significantly reduced the bubble rise rate, increasing the air inclusion rate and improving coarse-grained phosphate froth flotation.The presence of nanobubbles in the flotation pulp reduced the rinsing velocity of conventional particle-size bubbles, prolonged the bubble-particle sliding time (contact time), and reduced the tangential sliding velocity of particles on the bubble surface, thereby increasing the probability of bubble-particle attachment and decreasing the probability of detachment.Ahmadi et al. [23] delved into an investigation regarding the influence of nanobubbles on the flotation recovery of microfine-and ultrafine-grained chalcopyrite.Their findings demonstrated that the presence of nanobubbles substantially augmented the recovery rates of chalcopyrite fines and ultra-fines by an impressive margin ranging from 16% to 21%.Furthermore, the incorporation of nanobubbles led to remarkable reductions in the dosages of both the trapping agent (by 75%) and the frothing agent (by 50%).
Sobhy and colleagues [24] conducted a study involving the implementation of nanobubble column flotation for coal processing.They improved the flotation recovery of finegrained coal by 5 to 50% depending on the process operating conditions, and the amount of frother was reduced by 1/3.Tao [25] investigated the use of nanobubbles for the anionic reverse flotation of hematite and found that their effects significantly improved the grade and recovery of the concentrate.Sobhy [26] calculated that the application of nanobubbles increased the kinetic flotation rate constant by 41%, which implied a significant increase Minerals 2023, 13, 1299 3 of 12 in processing capacity.The nanobubbles encapsulated particles and formed aggregates, thus increasing the probability of particle bubble collisions.Furthermore, the induction time of nanobubbles generated on the surface of hydrophobic particles was reduced by 1/2, thereby increasing the attachment probability.
Liao et al. [27] found that micro-and nanobubbles could enhance the flotation of fine-grained monohydrate hard alumina minerals and significantly improve the flotation recovery of fine-grained monohydrate hard alumina.Taghavi et al. [28] found that nanobubbles significantly improved the flotation recovery of pure magnesite.Lei [29] investigated the role of nanobubbles in the coal-kaolin system, finding that nanobubbles can affect the aggregation state and the degree of kaolinite coverage on the surface of coal particles.On the one hand, nanobubbles fostered the formation of kaolin aggregates.Conversely, the presence of a nanobubble layer hindered the coverage of coal particle surfaces by kaolin, leading to the aggregation of kaolin particles on the surface of coal particles with limited coverage.
Etchepare et al. [30] investigated the flotation effect of nanobubbles on hydrophilic Fe(OH) 3 colloidal precipitates.Due to the higher lifting force of microbubbles, the flotation rate was faster.Still, the separation effect was inferior to that of nanobubbles, and so nanobubbles were used in combination with microbubbles to solve the problem of slow flotation rate when using nanobubbles alone.They attributed the increased recovery of hydrophilic Fe(OH) 3 precipitates to the entrapment of micro/nanobubbles inside the flocs and solid entrainment by water.Zhou et al. [31] used AFM to find that nanobubbles are difficult to nucleate on highly hydrophilic white mica surfaces and can form stably on sufficiently hydrophobic mineral surfaces.Once nanobubbles are stably nucleated on hydrophobic mineral surfaces, the attraction between mineral particles is greatly enhanced, thus promoting the aggregation and flotation of fine-grained minerals.At the same time, due to the high selectivity of nucleation of nanobubbles on solids, high separation efficiency can also be obtained in separating hydrophobic target minerals from hydrophilic politic minerals.Therefore, increasing the temperature during slurry conditioning may be a potential way to improve the flotation performance of minerals.Tsave et al. [32] discovered that the adherence of microbubbles to the surfaces of fine particles facilitated the attachment of standard-sized bubbles, ultimately improving the flotation recovery of these particles.Zhang et al. [33] noted that nanobubbles reduced the amount of trapping agent used, made flotation faster, and led to particles exhibiting significant aggregation behavior and high adhesion probability.
Researchers have made significant strides in leveraging nanobubbles to enhance the recovery of minerals at the microfine particle size [23,24].However, vein minerals are not negligible in size, while valuable minerals are finely ground.In particular, for quickly muddied magnesium silicate hydrates, many flotation conditions have not reached the delicate grinding process, which still produces many microfine-grain veinlets, seriously affecting the recovery of valuable minerals.Therefore, in this study, the properties of nanobubbles generated via ultrasonication were investigated by preparing nanobubbles and testing the bubbles' stability.And the flotation behavior of serpentine was investigated by combining nanobubbles with large bubbles of the flotation machine.In the flotation of nickel sulfide ore, easily muddied serpentine minerals have a great impact on the flotation process.Therefore, nanobubbles were prepared via the ultrasonic method and their stability was detected to explore the properties of nanobubbles generated by ultrasound.The nanobubbles were then combined with larger bubbles, typically generated by flotation machines, to scrutinize their impact on the flotation behavior of hydrophilic serpentine.The aim was to examine the influence of nanobubbles on the flotation behavior of hydrophilic serpentine and to reveal their role in optimizing the flotation mechanism of microfine-grained refractory ores.

Materials
Serpentine, chemical formula Mg 6 [Si 4 O 10 ](OH) 8 , is often divided into three types: lizardite, antigorite, and chrysotite.The serpentine ore used in this study was taken from the Xiuyan jade mine in Liaoning Province, China, and the results of X-ray diffraction (XRD) analysis are shown in Figure 1.Analysis of the sample was conducted using a D/Max-IIIA X-ray diffractometer (Malvern Panalytical, Shanghai, China) with Cu Kα radiation at 40 kV and 30 mA and with a scanning rate of 15 ( • )/min from 5

Materials
Serpentine, chemical formula Mg6[Si4O10](OH)8, is often divided into three types lizardite, antigorite, and chrysotite.The serpentine ore used in this study was taken from the Xiuyan jade mine in Liaoning Province, China, and the results of X-ray diffraction (XRD) analysis are shown in Figure 1.Analysis of the sample was conducted using a D/Max-IIIA X-ray diffractometer (Malvern Panalytical, Shanghai, China) with Cu Kα radiation at 40 kV and 30 mA and with a scanning rate of 15 (°)/min from 5° to 70°. Figure 1 shows that the main components of this serpentine ore are lizardite and antigorite minerals.The samples were sent for chemical multi-element analysis.The minerals were uniformly represented and dissolved samples for ICP detection (ICP-OES Agilent Technologies Inc., Agilent 700, In Santa Clara, CA, USA).The results are shown in Table 1.The data calculation in the table indicates that the purity of serpentine was found to exceed 96%, thus reaching the level required for pure mineral experiments.

Preparation of Nanobubbles
Nanobubbles were generated by utilizing the LC-1500 ultrasonic crusher manufactured by Shanghai Bingyue Electronic Instrument Co., Ltd.(Shanghai, China The detection and characterization of nanobubbles were performed using a BeNano 90 nanoparticle size analyzer, a product by Bettersize Instruments (Dandong, China), which is capable of measuring particles within a size range spanning from 2 nm to 36 μm.The measurement error was less than 1%.Measurement was carried out at 22 °C, with 15 mL of the cavitated solution used for detection.The process was repeated three times for each group of specimens to obtain six measurements.Additionally, the viscosity of the pulp following ultrasonication was assessed using a viscometer, specifically the SNB-2 mode from Shanghai Jingtian Electronic Instrument Co., Ltd.(Shanghai, China), which features a wide measuring range of 1 to 6,000,000 mPa•s, allowing for comprehensive viscosity analysis.Figure 1 shows that the main components of this serpentine ore are lizardite and antigorite minerals.The samples were sent for chemical multi-element analysis.The minerals were uniformly represented and dissolved samples for ICP detection (ICP-OES, Agilent Technologies Inc., Agilent 700, In Santa Clara, CA, USA).The results are shown in Table 1.The data calculation in the table indicates that the purity of serpentine was found to exceed 96%, thus reaching the level required for pure mineral experiments.

Preparation of Nanobubbles
Nanobubbles were generated by utilizing the LC-1500 ultrasonic crusher, manufactured by Shanghai Bingyue Electronic Instrument Co., Ltd.(Shanghai, China) The detection and characterization of nanobubbles were performed using a BeNano 90 nanoparticle size analyzer, a product by Bettersize Instruments (Dandong, China), which is capable of measuring particles within a size range spanning from 2 nm to 36 µm.The measurement error was less than 1%.Measurement was carried out at 22 • C, with 15 mL of the cavitated solution used for detection.The process was repeated three times for each group of specimens to obtain six measurements.Additionally, the viscosity of the pulp following ultrasonication was assessed using a viscometer, specifically the SNB-2 model from Shanghai Jingtian Electronic Instrument Co., Ltd.(Shanghai, China), which features a wide measuring range of 1 to 6,000,000 mPa•s, allowing for comprehensive viscosity analysis.
Since a lot of research has been conducted using ultrasonic pretreatment slurry flotation, we know that the main effects are the cavitation effect and the acoustic radiation force effect.The cavitation effect causes the precipitation of dissolved gases in the liquid to form bubbles. Conversely, the acoustic radiation force effect is observed in flotation through actions such as mineral sludge package removal, oxide film detachment, and agent dispersion [20,21].The objective of this experiment was to investigate the interactions between micro-and nanobubbles and mineral flotation.For this purpose, the experimental procedure involved subjecting 20 mL of a 100 mL pure water sample to ultrasonic treatment via the LC-1500 ultrasonic crusher, employing fixed-duration ultrasound, as depicted in Figure 2.
Since a lot of research has been conducted using ultrasonic pretreatment flotation, we know that the main effects are the cavitation effect and the acoustic ra force effect.The cavitation effect causes the precipitation of dissolved gases in the to form bubbles. Conversely, the acoustic radiation force effect is observed in fl through actions such as mineral sludge package removal, oxide film detachme agent dispersion [20,21].The objective of this experiment was to investiga interactions between micro-and nanobubbles and mineral flotation.For this purp experimental procedure involved subjecting 20 mL of a 100 mL pure water sam ultrasonic treatment via the LC-1500 ultrasonic crusher, employing fixed-d ultrasound, as depicted in Figure 2. The flotation experiments were carried out in an XFG-type hanging tank fl machine (manufactured by Jilin Exploration Machinery Plant, Changchun, China, X We took 2.0 g of sample each time, and added 20 mL of pure water (sourced from TREE XYF2-40-H, Beijing Xianshunyuan Technology Co., Ltd., Beijing, China sonication; we then adjusted the pH to 10 using NaOH, and stirred for 3 min.N mg/L of sodium O-butyldithiocarbonate and 1 × 10 −4 mol/L of pine alcohol oil were as a collector and frother, respectively, and the flotation was carried out for 3 m float and sink products were collected, dried, and weighed, and the flotation recove calculated.The flotation machine speed was 1600 r/min.

Nanobubble Generation via Ultrasonication
To explore the most favorable conditions for the generation of micr nanobubbles through sonication, a series of experiments were conducted involv sonication of pure water for varying durations: 1 min, 2 min, 5 min, and 10 min, control group maintained at 0 min of sonication.These experiments were carried temperature of 25 °C.Each experimental group underwent three repetitions, a outcomes are graphically depicted in Figure 3. Furthermore, the influence of d ultrasonic durations on the stability of the slurry and its viscosity was investigate the results presented in Figure 4.The flotation experiments were carried out in an XFG-type hanging tank flotation machine (manufactured by Jilin Exploration Machinery Plant, Changchun, China, XFGII5).We took 2.0 g of sample each time, and added 20 mL of pure water (sourced from PINE-TREE XYF2-40-H, Beijing Xianshunyuan Technology Co., Ltd., Beijing, China) after sonication; we then adjusted the pH to 10 using NaOH, and stirred for 3 min.Next, 15 mg/L of sodium O-butyldithiocarbonate and 1 × 10 −4 mol/L of pine alcohol oil were added as a collector and frother, respectively, and the flotation was carried out for 3 min.The float and sink products were collected, dried, and weighed, and the flotation recovery was calculated.The flotation machine speed was 1600 r/min.

Nanobubble Generation via Ultrasonication
To explore the most favorable conditions for the generation of micro-and nanobubbles through sonication, a series of experiments were conducted involving the sonication of pure water for varying durations: 1 min, 2 min, 5 min, and 10 min, with a control group maintained at 0 min of sonication.These experiments were carried out at a temperature of 25 • C. Each experimental group underwent three repetitions, and the outcomes are graphically depicted in Figure 3. Furthermore, the influence of different ultrasonic durations on the stability of the slurry and its viscosity was investigated, with the results presented in Figure 4.  Figure 3a illustrates the presence of numerous nanobubbles within the solution subsequent to sonication, with their diameters falling within the range of approximately 50 to 250 nm.As the sonication duration increased, the size of the bubbles increased, and the size of the nanobubbles produced by 1 min and 2 min of sonication was the smallest Most of the bubbles were about 80 nm in size.The bubbles produced by 5 min o sonication were about 100 nm, while the bubbles generated following 10 min of sonication were approximately 120 nm in size.Figure 3b provides insights into the volume conten distribution of bubbles generated at different sonication durations.Figure 3b also shows that the volume contents of bubbles produced by 1 min, 2 min, 5 min, and 10 min o sonication are similar in size and are all about 27%.In contrast, the bubbles produced via 1 min sonication have the smallest size.The smaller the measurements taken when the volumes are the same, the larger the number of bubbles will be.As such, the bubbles produced via 1 min of sonication have the smallest size and are most numerous [34] Figure 4a shows that, as ultrasonic time increased, the temperature of the slurry gradually rose too.The results in Figure 4b show that, as ultrasonic time increased, the viscosity o the slurry showed a downward trend.The increasing sonication time raised the water temperature, thereby presenting a higher probability of bubble coalescence and leading to larger sizes and volumes of nanobubbles.
The stability of nanobubbles was investigated, and the nanobubble-containing solutions produced via sonication were left for 0 min, 20 min, 40 min, and 60 min after 1 min of sonication.Then, the bubble sizes were measured, and the results are shown in Figure 5.  Figure 3a illustrates the presence of numerous nanobubbles within the solution subsequent to sonication, with their diameters falling within the range of approximately 50 to 250 nm.As the sonication duration increased, the size of the bubbles increased, and the size of the nanobubbles produced by 1 min and 2 min of sonication was the smallest Most of the bubbles were about 80 nm in size.The bubbles produced by 5 min o sonication were about 100 nm, while the bubbles generated following 10 min of sonication were approximately 120 nm in size.Figure 3b provides insights into the volume conten distribution of bubbles generated at different sonication durations.Figure 3b also shows that the volume contents of bubbles produced by 1 min, 2 min, 5 min, and 10 min o sonication are similar in size and are all about 27%.In contrast, the bubbles produced via 1 min sonication have the smallest size.The smaller the measurements taken when the volumes are the same, the larger the number of bubbles will be.As such, the bubbles produced via 1 min of sonication have the smallest size and are most numerous [34] Figure 4a shows that, as ultrasonic time increased, the temperature of the slurry gradually rose too.The results in Figure 4b show that, as ultrasonic time increased, the viscosity o the slurry showed a downward trend.The increasing sonication time raised the water temperature, thereby presenting a higher probability of bubble coalescence and leading to larger sizes and volumes of nanobubbles.
The stability of nanobubbles was investigated, and the nanobubble-containing solutions produced via sonication were left for 0 min, 20 min, 40 min, and 60 min after 1 min of sonication.Then, the bubble sizes were measured, and the results are shown in Figure 5. Figure 3a illustrates the presence of numerous nanobubbles within the solution subsequent to sonication, with their diameters falling within the range of approximately 50 to 250 nm.As the sonication duration increased, the size of the bubbles increased, and the size of the nanobubbles produced by 1 min and 2 min of sonication was the smallest.Most of the bubbles were about 80 nm in size.The bubbles produced by 5 min of sonication were about 100 nm, while the bubbles generated following 10 min of sonication were approximately 120 nm in size.Figure 3b provides insights into the volume content distribution of bubbles generated at different sonication durations.Figure 3b also shows that the volume contents of bubbles produced by 1 min, 2 min, 5 min, and 10 min of sonication are similar in size and are all about 27%.In contrast, the bubbles produced via 1 min sonication have the smallest size.The smaller the measurements taken when the volumes are the same, the larger the number of bubbles will be.As such, the bubbles produced via 1 min of sonication have the smallest size and are most numerous [34].Figure 4a shows that, as ultrasonic time increased, the temperature of the slurry gradually rose too.The results in Figure 4b show that, as ultrasonic time increased, the viscosity of the slurry showed a downward trend.The increasing sonication time raised the water temperature, thereby presenting a higher probability of bubble coalescence and leading to larger sizes and volumes of nanobubbles.
The stability of nanobubbles was investigated, and the nanobubble-containing solutions produced via sonication were left for 0 min, 20 min, 40 min, and 60 min after 1 min of sonication.Then, the bubble sizes were measured, and the results are shown in Figure 5.The bubble stability curve clearly illustrates that the size of nanobubble generated through ultrasound did not change much with the increasing time.The overall conten was stable, which indicated that the nanobubbles were more durable.The produced nanobubbles did not rupture as quickly as conventional bubbles, and some researchers found that most of the nanobubbles present in the solution still existed stably after three months [35].

Nanobubble Flotation Experiments
The nanobubble flotation experiments were performed by introducing the nanobubble solution generated using ultrasound into the flotation machine.To investigate the impact of the flotation machine on nanobubbles produced through ultrasonic treatment, the distribution of bubbles in water samples was measured 1 min after ultrasonication, at the same time, the gas distribution of the ultrasonic water sample after 9 min of stirring by the flotation machine was measured.It can be seen from Figure 6 that the nanobubbles generated following ultrasonication fell within the size range o approximately 50-150 nm.Additionally, subsequent to agitation in the flotation machine their size increased to approximately 75-200 nm.Mechanical agitation also caused the aggregation of small-sized bubbles.The bubbles are still within the nanometer size, so the effect of the flotation machine on the flotation of nanobubbles is small.In mechanica flotation, strong agitation could also generate nanobubbles by hydrodynamic cavitation Therefore, nanobubbles generated via ultrasound and hydrodynamic cavitation co-exis in the system.In order to explore the influence of nanobubbles on serpentine's flotation behavior the serpentine recovery rate after ultrasonic pretreatment of the aqueous solution was The bubble stability curve clearly illustrates that the size of nanobubble generated through ultrasound did not change much with the increasing time.The overall content was stable, which indicated that the nanobubbles were more durable.The produced nanobubbles did not rupture as quickly as conventional bubbles, and some researchers found that most of the nanobubbles present in the solution still existed stably after three months [35].

Nanobubble Flotation Experiments
The nanobubble flotation experiments were performed by introducing the nanobubble solution generated using ultrasound into the flotation machine.To investigate the impact of the flotation machine on nanobubbles produced through ultrasonic treatment, the distribution of bubbles in water samples was measured 1 min after ultrasonication, at the same time, the gas distribution of the ultrasonic water sample after 9 min of stirring by the flotation machine was measured.It can be seen from Figure 6 that the nanobubbles generated following ultrasonication fell within the size range of approximately 50-150 nm.Additionally, subsequent to agitation in the flotation machine, their size increased to approximately 75-200 nm.Mechanical agitation also caused the aggregation of small-sized bubbles.The bubbles are still within the nanometer size, so the effect of the flotation machine on the flotation of nanobubbles is small.In mechanical flotation, strong agitation could also generate nanobubbles by hydrodynamic cavitation.Therefore, nanobubbles generated via ultrasound and hydrodynamic cavitation co-exist in the system.The bubble stability curve clearly illustrates that the size of nanobubble generated through ultrasound did not change much with the increasing time.The overall conten was stable, which indicated that the nanobubbles were more durable.The produced nanobubbles did not rupture as quickly as conventional bubbles, and some researchers found that most of the nanobubbles present in the solution still existed stably after three months [35].

Nanobubble Flotation Experiments
The nanobubble flotation experiments were performed by introducing the nanobubble solution generated using ultrasound into the flotation machine.To investigate the impact of the flotation machine on nanobubbles produced through ultrasonic treatment, the distribution of bubbles in water samples was measured 1 min after ultrasonication, at the same time, the gas distribution of the ultrasonic water sample after 9 min of stirring by the flotation machine was measured.It can be seen from Figure 6 that the nanobubbles generated following ultrasonication fell within the size range o approximately 50-150 nm.Additionally, subsequent to agitation in the flotation machine their size increased to approximately 75-200 nm.Mechanical agitation also caused the aggregation of small-sized bubbles.The bubbles are still within the nanometer size, so the effect of the flotation machine on the flotation of nanobubbles is small.In mechanica flotation, strong agitation could also generate nanobubbles by hydrodynamic cavitation Therefore, nanobubbles generated via ultrasound and hydrodynamic cavitation co-exis in the system.In order to explore the influence of nanobubbles on serpentine's flotation behavior the serpentine recovery rate after ultrasonic pretreatment of the aqueous solution was studied using nanobubbles generated via ultrasonic cavitation combined with large In order to explore the influence of nanobubbles on serpentine's flotation behavior, the serpentine recovery rate after ultrasonic pretreatment of the aqueous solution was studied using nanobubbles generated via ultrasonic cavitation combined with large bubbles generated using the hanging tank flotation machine.The flotation conditions were as follows: pH = 9.5, sodium O-butyldithiocarbonate 15 mg/L, pine alcohol oil 1 × 10 −4 mol/L.In the experimental procedure, each set of ultrasonicated solution was allowed to equilibrate to the same temperature it was at before ultrasonication prior to proceeding with the flotation test This temperature equilibration ensured consistency in the experimental conditions.
As can be seen from Figure 7, the flotation recovery of serpentine increases as its particle size decreases, reaching 25% for −15 µm.This trend can be attributed to the increase in the apparent viscosity of the pulp as mineral size decreases, leading to a higher entrainment rate [36].Although serpentine is a hydrophilic mineral, its slow flotation kinetics, non-selective mucus coverage, and entrainment are carried into the froth layer because the particle size is too small.Ultrasonic treatment can significantly impair the recovery of serpentine, especially for the fine-grained grade.The recovery of serpentine increased slowly with the rise in sonication time.The recovery of serpentine in flotation was lowest after 1 min of sonication because of the small size and large number of bubbles produced during 1 min of sonication.The particle size of microfine-grained serpentine is much larger than that of nanobubbles, and as a hydrophilic mineral it cannot enter nanobubble aggregates, which reduces the entrapment of fine-grained serpentine and thus its recovery.Ultrasound raised the temperature and, in turn, reduced the viscosity of the slurry, thereby reducing the entrainment of fine particles to a certain extent.As Figure 7 shows, the floating amount of serpentine was greater with 10 min ultrasonic was greater than that of the ultrasonic 1 min test group; likewise, the viscosity of slurry was significantly lower with 10 min of ultrasound than with 1 min.These findings indicate that the nanobubbles generated by ultrasound played a major role in reducing the entrainment effect.
bubbles generated using the hanging tank flotation machine.The flotation conditions were as follows: pH = 9.5, sodium O-butyldithiocarbonate 15 mg/L, pine alcohol oil 1 × 10 −4 mol/L.In the experimental procedure, each set of ultrasonicated solution was allowed to equilibrate to the same temperature it was at before ultrasonication prior to proceeding with the flotation test This temperature equilibration ensured consistency in the experimental conditions.
As can be seen from Figure 7, the flotation recovery of serpentine increases as its particle size decreases, reaching 25% for −15 μm.This trend can be attributed to the increase in the apparent viscosity of the pulp as mineral size decreases, leading to a higher entrainment rate [36].Although serpentine is a hydrophilic mineral, its slow flotation kinetics, non-selective mucus coverage, and entrainment are carried into the froth layer because the particle size is too small.Ultrasonic treatment can significantly impair the recovery of serpentine, especially for the fine-grained grade.The recovery of serpentine increased slowly with the rise in sonication time.The recovery of serpentine in flotation was lowest after 1 min of sonication because of the small size and large number of bubbles produced during 1 min of sonication.The particle size of microfine-grained serpentine is much larger than that of nanobubbles, and as a hydrophilic mineral it cannot enter nanobubble aggregates, which reduces the entrapment of fine-grained serpentine and thus its recovery.Ultrasound raised the temperature and, in turn, reduced the viscosity o the slurry, thereby reducing the entrainment of fine particles to a certain extent.As Figure 7 shows, the floating amount of serpentine was greater with 10 min ultrasonic was greater than that of the ultrasonic 1 min test group; likewise, the viscosity of slurry was significantly lower with 10 min of ultrasound than with 1 min.These findings indicate that the nanobubbles generated by ultrasound played a major role in reducing the entrainment effect.Examination of nanobubble distribution in the concentrate and tailing supernatan after flotation revealed some significant findings, as depicted in Figure 8.In the concentrate, the bubble size ranged from 400 to 1200 nm, while in the tailing it fell within the range of 200 to 500 nm.Notably, these results showed a substantial increase in overal bubble size compared to Figure 5, the results for which were observed after the agitation within the flotation machine.This increase in bubble size suggests that introducing minerals into the system exacerbated the aggregation effect of smaller-sized nanobubbles It is worth highlighting that the bubble size was substantially larger in the concentrate and that larger nanobubbles possess enhanced lifting capabilities, making them more likely to rise and become part of the concentrate [30].Examination of nanobubble distribution in the concentrate and tailing supernatant after flotation revealed some significant findings, as depicted in Figure 8.In the concentrate, the bubble size ranged from 400 to 1200 nm, while in the tailing it fell within the range of 200 to 500 nm.Notably, these results showed a substantial increase in overall bubble size compared to Figure 5, the results for which were observed after the agitation within the flotation machine.This increase in bubble size suggests that introducing minerals into the system exacerbated the aggregation effect of smaller-sized nanobubbles.It is worth highlighting that the bubble size was substantially larger in the concentrate, and that larger nanobubbles possess enhanced lifting capabilities, making them more likely to rise and become part of the concentrate [30].Next, nanobubbles were introduced, while depressant CMC was added to the system.Figure 9 illustrates that the presence of nanobubbles lowered the recovery of serpentine across all five particle sizes, with the most significant impact observed for 15-30 μm and −15 μm serpentine fractions.A group with nanobubbles present had a lower recovery with the same amount of added depressant.It has previously been reported that the presence of nanobubbles reduces the amount of depressant required [33].Consistent with that earlier finding, the recovery level of <15 μm serpentine at a depressant concentration of 40 mg/L was equivalent to the recovery of serpentine at a depressant concentration of 25 mg/L in the presence of nanobubbles.This suggests that nanobubbles can effectively reduce the amount of depressant required to achieve the desired level of serpentine recovery, particularly for fine-grained serpentine fractions.Next, nanobubbles were introduced, while depressant CMC was added to the system.Figure 9 illustrates that the presence of nanobubbles lowered the recovery of serpentine across all five particle sizes, with the most significant impact observed for 15-30 µm and −15 µm serpentine fractions.A group with nanobubbles present had a lower recovery with the same amount of added depressant.It has previously been reported that the presence of nanobubbles reduces the amount of depressant required [33].Consistent with that earlier finding, the recovery level of <15 µm serpentine at a depressant concentration of 40 mg/L was equivalent to the recovery of serpentine at a depressant concentration of 25 mg/L in the presence of nanobubbles.This suggests that nanobubbles can effectively reduce the amount of depressant required to achieve the desired level of serpentine recovery, particularly for fine-grained serpentine fractions.Next, nanobubbles were introduced, while depressant CMC was added to the system.Figure 9 illustrates that the presence of nanobubbles lowered the recovery of serpentine across all five particle sizes, with the most significant impact observed for 15-30 μm and −15 μm serpentine fractions.A group with nanobubbles present had a lower recovery with the same amount of added depressant.It has previously been reported that the presence of nanobubbles reduces the amount of depressant required [33].Consistent with that earlier finding, the recovery level of <15 μm serpentine at a depressant concentration of 40 mg/L was equivalent to the recovery of serpentine at a depressant concentration of 25 mg/L in the presence of nanobubbles.This suggests that nanobubbles can effectively reduce the amount of depressant required to achieve the desired level of serpentine recovery, particularly for fine-grained serpentine fractions.

Analysis of the Mechanism of Nanobubbles to Reduce the Recovery Rate of Microfine-Grained Serpentine
The experimental findings clearly indicate that the presence of nanobubbles reduces the flotation recovery of microfine-grained serpentine.This outcome can be explained by two primary factors.First, the primary mechanisms governing flotation of hydrophilic microfine-grained minerals involve foam entrainment and attachment to the surface of valuable minerals [37].Given that nanobubbles are significantly smaller than mineral particles, they hinder the adhesion of hydrophilic minerals to valuable mineral surfaces when coming into contact with them [29].In essence, the presence of nanobubbles disrupts the attachment process, reducing the recovery of hydrophilic serpentine.Second, while the ultrasound-induced reduction in slurry viscosity does contribute to lowering the floatability of hydrophilic serpentine, the dominant factor influencing serpentine flotation is the presence of nanobubbles generated using ultrasound.These nanobubbles play a central role in limiting the attachment and adhesion of serpentine to valuable mineral surfaces, thereby reducing its overall flotation recovery.
Entrainment can be conceptualized as a two-step process involving the movement of particles from the upper pulp to the bubble and then from the bubble to the concentrate.Entrainment is inevitable for both hydrophobic and hydrophilic minerals and is one of the critical factors affecting the concentrate grade [37].It is important to note that nanobubbles possess relatively weak flotation capabilities; when nanobubbles alone are present, they do not achieve effective mineral recovery [21,30].In contrast, conventional-sized bubbles exert more significant lifting forces and facilitate faster flotation, as illustrated in Figure 10.During the flotation process, a portion of nanobubbles attaches to the surface of conventional-size bubbles to float, and the domain will exist in the water layer between large bubbles.In addition, the actual volume of nanobubbles produced under natural conditions is very small (gas/bubble holdup <<1% of water), and therefore their effect on water entrainment is negligible.When a large number of nanobubbles exist in the water layer between two large-sized bubbles, that layer has a stronger hydrophobic force on fine-grained hydrophilic minerals; the resulting exclusion of these minerals from the water layer also effectively reduces the entrainment effect.

Analysis of the Mechanism of Nanobubbles to Reduce the Recovery Rate of Microfine-Grained Serpentine
The experimental findings clearly indicate that the presence of nanobubbles reduces the flotation recovery of microfine-grained serpentine.This outcome can be explained by two primary factors.First, the primary mechanisms governing flotation of hydrophilic microfine-grained minerals involve foam entrainment and attachment to the surface of valuable minerals [37].Given that nanobubbles are significantly smaller than minera particles, they hinder the adhesion of hydrophilic minerals to valuable mineral surfaces when coming into contact with them [29].In essence, the presence of nanobubbles disrupts the attachment process, reducing the recovery of hydrophilic serpentine.Second while the ultrasound-induced reduction in slurry viscosity does contribute to lowering the floatability of hydrophilic serpentine, the dominant factor influencing serpentine flotation is the presence of nanobubbles generated using ultrasound.These nanobubbles play a central role in limiting the attachment and adhesion of serpentine to valuable mineral surfaces, thereby reducing its overall flotation recovery.
Entrainment can be conceptualized as a two-step process involving the movement of particles from the upper pulp to the bubble and then from the bubble to the concentrate Entrainment is inevitable for both hydrophobic and hydrophilic minerals and is one of the critical factors affecting the concentrate grade [37].It is important to note that nanobubbles possess relatively weak flotation capabilities; when nanobubbles alone are present, they do not achieve effective mineral recovery [21,30].In contrast, conventionalsized bubbles exert more significant lifting forces and facilitate faster flotation, as illustrated in Figure 10.During the flotation process, a portion of nanobubbles attaches to the surface of conventional-size bubbles to float, and the domain will exist in the water layer between large bubbles.In addition, the actual volume of nanobubbles produced under natural conditions is very small (gas/bubble holdup <<1% of water), and therefore their effect on water entrainment is negligible.When a large number of nanobubbles exist in the water layer between two large-sized bubbles, that layer has a stronger hydrophobic force on fine-grained hydrophilic minerals; the resulting exclusion of these minerals from the water layer also effectively reduces the entrainment effect.

Conclusions
This study investigated the flotation behavior of nanobubbles on the microfinegrained, easily slimed mineral serpentine and yielded the following conclusions: (1) Nanobubbles were successfully generated through sonication, and we found that the bubble sizes produced via sonication for 1 min and 2 min were the smallest.The stability of the nanobubbles produced by ultrasonication was also studied, and it was found that the nanobubbles were stable.Their size remained consistent, and only a slight decrease in their number was observed with increasing resting time.
(2) Single-mineral flotation were conducted on serpentine using nanobubbles generated through sonication, and we found that the presence of nanobubbles significantly reduced the recovery of serpentine, and that the lowest

Conclusions
This study investigated the flotation behavior of nanobubbles on the microfine-grained, easily slimed mineral serpentine and yielded the following conclusions: (1) Nanobubbles were successfully generated through sonication, and we found that the bubble sizes produced via sonication for 1 min and 2 min were the smallest.The stability of the nanobubbles produced by ultrasonication was also studied, and it was found that the nanobubbles were stable.Their size remained consistent, and only a slight decrease in their number was observed with increasing resting time.
(2) Single-mineral flotation experiments were conducted on serpentine using nanobubbles generated through sonication, and we found that the presence of nanobubbles significantly reduced the recovery of serpentine, and that the lowest recovery of serpentine was obtained by sonication for 1 min.The reduction in serpentine flotation recovery in the presence of nanobubbles was mainly due to a decrease in the froth entrainment rate of serpentine at the microfine-grain level.(3) Nanobubbles also reduced the amount of depressant required.With the addition of depressant under conditions of 1 min sonication, the recovery level of serpentine in the group without sonication but with 40 mg/L of depressant was equivalent to that of serpentine in the sonicated group, which required only 25 mg/L of depressant to achieve a similar recovery level.
These findings underscore the potential of nanobubbles in mineral flotation processes, particularly for microfine-grained minerals like serpentine, where they can reduce recovery, depressant usage, and froth entrainment.

Figure 3 .
Figure 3.Effect of ultrasonic time on the size distribution of nanobubbles.(a) Number distribution (b) volume distribution.

Figure 4 .
Figure 4. Effect of ultrasonic time on the (a) temperature; (b) pulp viscosity.

Figure 3 .Figure 3 .
Figure 3.Effect of ultrasonic time on the size distribution of nanobubbles.(a) Number distribution; (b) volume distribution.

Figure 4 .
Figure 4. Effect of ultrasonic time on the (a) temperature; (b) pulp viscosity.

Figure 4 .
Figure 4. Effect of ultrasonic time on the (a) temperature; (b) pulp viscosity.

Figure 5 .
Figure 5. Stability curves of bubbles produced by ultrasonication for 1 min.

Figure 5 .
Figure 5. Stability curves of bubbles produced by ultrasonication for 1 min.

Figure 5 .
Figure 5. Stability curves of bubbles produced by ultrasonication for 1 min.

Figure 7 .
Figure 7. Effect of ultrasonic time on serpentine recovery.

Figure 7 .
Figure 7. Effect of ultrasonic time on serpentine recovery.

Figure 8 .
Figure 8. Distribution of nanobubbles in flotation concentrate and tailing.(a) Number distribution; (b) volume distribution.

Figure 8 .
Figure 8. Distribution of nanobubbles in flotation concentrate and tailing.(a) Number distribution; (b) volume distribution.

Figure 10 .
Figure 10.Schematic diagram of nanobubbles reducing the entrapment effect of microfine-grained serpentine.

Figure 10 .
Figure 10.Schematic diagram of nanobubbles reducing the entrapment effect of microfinegrained serpentine.

Table 1 .
Serpentine chemical multi-element analysis results.

Table 1 .
Serpentine chemical multi-element analysis results.