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A microfluidic method for investigating ionspecific bubble coalescence in salt solutions Jianlong Wang, Say Hwa Tan, Anh V. Nguyen, Geoffrey M. Evans, and Nam-Trung Nguyen Langmuir, Just Accepted Manuscript • DOI: 10.1021/acs.langmuir.6b03266 • Publication Date (Web): 18 Oct 2016 Downloaded from http://pubs.acs.org on October 24, 2016
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A microfluidic method for investigating ion-specific bubble coalescence in salt solutions Jianlong Wang,a Say Hwa Tan,b Anh V. Nguyen,a Geoffrey M. Evans,c and Nam-Trung Nguyen*b a.
School of Chemical Engineering, University of Queensland, Brisbane, QLD 4072, Australia
b.
Queensland Micro- and Nanotechnology Centre, Griffith University, Brisbane, QLD 4111, Australia.
c.
School of Engineering, University of Newcastle, Callaghan, NSW 2308, Australia.
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ABSTRACT
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This paper reports the direct and precise measurement of bubble coalescence in salt solutions using
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microfluidics. We directly visualised the bubble coalescence process in a microchannel using high-
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speed imaging and evaluated the shortest coalescence time to determine the transition concentration of
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sodium halide solutions. We found the transition concentration is ion-specific and the capacity of
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sodium halide salts to inhibit bubble coalescence follows the order of NaF > NaCl > NaBr > NaI. The
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microfluidic method overcomes the inherent uncertainties in conventional large-scale devices and
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methods.
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INTRODUCTION
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Bubble coalescence in different salt solutions governs many interesting but unexpected phenomena.
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These processes are found in nature and industrial applications. Examples include the formation of
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white foam as waves break in seawater.1 Industrially, purification of mined coal from clays using air
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bubbles is possible in seawater and other saline waters.2 Fine bubbles were often generated in saline
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waters without the use of conventional surfactants. Unlike surfactants, salts are supposed to promote
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bubble coalescence by increasing the surface tension. Ironically, both surface-active compound
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(surfactants) and surface-inactive compound (inorganic salts) inhibit bubble coalescence. More
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interestingly, these compounds can only fully or partially inhibit bubble coalescence above a critical
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concentration referred to as the critical coalescence concentration (CCC), or increase the bubble
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coalescence time above a transition concentration (TC).3, 4, 5, 6, 7, 8, 9, 10, 11, 12
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Despite of the inconsistent definitions of CCC and TC in the literature, different techniques have
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been developed to determine these values.3 Briefly, the techniques can be categorised into: (i) bubble
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swarm experiments; (ii) bubble pair method and (iii) film balance technique. All these techniques
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have not been satisfactory due to their inherent shortcomings and uncertainties. Values of CCC or TC
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obtained via different techniques have shown significant discrepancy.3
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Bubble swarm experiment studies the population of bubbles in a swarm..The CCC in this
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experiment is defined either as the concentration corresponding to 50% bubble coalescence13 or as the
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concentration above which a constant bubble size is reached.7, 14 The bubble swarm experiment is 1 ACS Paragon Plus Environment
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useful for studying the effects of flow conditions on bubble coalescence. However, the measurements
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of CCC are significantly influenced by hydrodynamic conditions, such as turbulence.15 Therefore, the
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uncertainties of these measurements are significant by nature. For example, the CCC of NaCl varies
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from 0.31 M to 0.778 M in different measurements of bubble size distribution in a bubble column.3
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Obtaining the average bubble size by measuring the whole bubble population is also time-consuming.
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In the bubble pair method, two bubbles are generated from adjacent capillaries placed either side
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by side or facing each other. The CCC is now defined as the concentration at which 50% of the
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contacted bubbles coalesce. Compared with bubble swarm experiments, the relative uncertainties
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decrease due to the relatively stable environment. However, the bubble pairs are only labelled as
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“coalescence” or “non-coalescence”. Therefore, important information representing the efficiency of
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inhabitation, such as bubble coalescence time or lifetime of liquid film between bubbles, is missing.
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The film balance technique, unlike the previous techniques, can provide important information to
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understand the bubble coalescence process. For example, both the drainage time and thickness of the
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liquid film can be measured. However, the exposure of the liquid film to the air results in many
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uncertainties, such as the contamination, evaporation, and thermal or mechanical fluctuations from the
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environment. Since no real bubble is generated, the film balance technique still cannot provide key
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information such as bubble deformation and post-coalescence oscillation.16
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The present paper demonstrates that microfluidics is a powerful tool to understand the complex
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bubble dynamics. The design of the experiments in a microchannel eliminates the effects of long-
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range inertial forces, therefore allowing for the investigation of only short-range effects (e.g. colloidal
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forces) on the bubble coalescence process. This tool also circumvents many limitations mentioned
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above. For example, the laminar flow behaviour allows the generation of extremely well-controlled
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bubble size.17,
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transport of microbubbles. Therefore, microfluidic devices have been utilised to study bubble
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coalescence behaviours.19, 20 However, past studies on bubble coalescence in microfluidic devices
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were limited mainly to the effect of hydrodynamics. We aim to report a different perspective where
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the transition concentration of salt solutions is determined in a microfluidic flow-focusing device. The
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well-controlled bubble dynamics in the microfluidic device allows for a more reliable and precise
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determination of the transition concentration as compared to existing conventional techniques.
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Furthermore, the confinement of a microchannel guarantees the well-controlled
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EXPERIMENTS
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Air bubbles were generated in four sodium halide solutions (NaF, NaCl, NaBr and NaI) using the
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flow-focusing geometry, Fig. 1. The flow rates of salt solution and air were 500 µL/h and 100 µL/h,
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respectively. The frequency of bubble generation was about 52±5 Hz. Coalescence of air bubbles was
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observed at the expansion of the microfluidic channels, Fig. 1 (a). It should be noted that only
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coalescence events between two bubbles with the same initial bubble size were chosen to calculate the
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coalescence time. A big bubble that is formed by the coalescence of two smaller bubbles does not
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count in order to eliminate the effects of Ostwald ripening of bubbles on the coalescence process.
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Standard soft lithography technique was used to fabricate microfluidic device in poly-
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dimethylsiloxane (PDMS). PDMS has good chemical stability, and most molecules do not react with
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the surface of PDMS.17, 21 The PDMS device was bonded to a glass slide using air plasma. The width
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of the main channels and the orifice are 100 µm and 50 µm, respectively. Figure 1(a) shows the
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detailed geometry of the microchannel that has a height of about 30 µm. Fig. 1(b) shows a
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representative snapshot of the bubble generation process at the flow-focusing junction. The
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subsequent bubble coalescence occurs at the expansion, Fig. 1(c). A high-speed camera (Miro 3,
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Vision Research) mounted on an inverted microscope (Nikon Ti-E, Japan) recorded the bubble
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images.
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Fig. 1 (a) Schematic diagram of the flow-focusing microfluidic device; (b) Image of the bubble
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generation and (c) coalescence in 0.5 M NaCl solution with a total NaCl solution flow rate of
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500 µL/h and an air flow rate 100 µL/h. The depth of the channel is about 30 µm. The scale bar
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represents 100 µm.
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Sequential layer-by-layer deposition of polyelectrolytes (poly (allylamine hydrochloride) i.e. PAH
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(98% Sigma–Aldrich, USA) and poly (sodium 4-styrenesulfonate) i.e. PSS (98% Sigma–Aldrich,
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USA) was used to yield stable hydrophilic surface in the PDMS microfluidic devices.22 Briefly, the
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PAH and PSS solutions (both 0.1% w/v in 0.5 M aqueous NaCl solution) and NaCl washing solution
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(0.1 M) were alternately injected to fill the microchannel. The first positively charged PAH layer was
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deposited onto the negatively charged PDMS surface treated by air plasma. Then the negatively
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charged PSS layer was deposited onto the PAH layer. After 8 deposition cycles, a (PAH/PSS)8
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polyelectrolyte multilayer was coated on the channel wall. Sufficiently long adsorption time of
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approximately 5 minutes was taken for the deposition of each layer.23 The structure of the PAH/PSS
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multilayer is very compact due to the high degree of complexation between the polyelectrolytes as
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well as hydrogen bonds between the amines in PAH and oxygen in PSS.24, 25, 26 The stability of the
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polyelectrolyte multilayer is independent of the salt type that we used because there is no interaction
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between the outermost PSS layer (negtively charged) and the anions, and the only cation is Na+. The
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water content of the PAH/PSS multilayer remained unchanged with a high concentration of NaCl in
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the external solution up to 1.2 M.25 Considering the range of salt concentration in our study of 0 – 0.5
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M, we can safely eliminate the influence of salt concentration on the stability of the polyelectrolyte
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multilayer. The final washing step was performed with deionised water to remove traces of
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contaminations in the micro-channels. Because the channel volume in a microfluidic device is
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extremely small, applying a relatively large amount of deionised water (~20 mL, about 50,000 times
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of the space in the microfluidic device) can thoroughly wash away the trace contaminants in the
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microchannels. Subsequently, the equilibrium surface tension of water-air interface for the last 5 mL
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washing water was measured, to check the cleanliness of the microchannel. The value of the
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equilibrium surface tension was measued as 72.35 ± 0.14 mN/m (standard deviation of the mean) at
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23 ˚C using the Wilhelmy plate method and matches the reported value of 72.3 mN/m.27 It should be
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noted that the oxidation of the PDMS surface by plasma cleaning only leads to a temporarily
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hydrophilic surface. The PDMS surface regains its orginal hydrophobicity after exposing to a low-
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surface-energy medium such as air as used in our experiments to generate the bubbles.22, 28, 29
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Deionised (DI) water was utilized to make the salt solutions, i.e. solutions of NaF (99% Sigma–
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Aldrich, USA), NaCl (99.5 % Sigma–Aldrich, USA), NaBr (99% Sigma–Aldrich, Israel) and NaI
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(99% Merck, Germany). Air and salt solutions were loaded in gas tight glass syringes and delivered
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into the microfluidic device by a syringe pump (SPM 100 S-FLUIDPUMP, Singapore). Videos of
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bubble coalescence were recorded at a frame rate of 13,000 frames per second (fps) and subsequently
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processed with ImageJ (V1.48, NIH, USA). The coalescence time was calculated as the time interval
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from the contact of two air bubble interfaces to the first frame of bubble coalescence. The uncertainty
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for the measurement of coalescence time is the interval between two frames, i.e. 76.92 µs. Four to ten
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measurements were taken to obtain the average coalescence time for each solution. Some 4 ACS Paragon Plus Environment
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measurements were repeated on another day (four, three and four measurements for 0.01, 0.05 and
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0.075 M NaCl solutions and six measurements each for 0.05 and 0.1 M NaBr solutions) to ensure the
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repeatability of the results. Fig. 2 shows image sequences of the coalescence process of two bubbles
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in a 0.75 M NaF solution. We identified four consecutive stages of the coalescence process:
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approaching (Fig. 2a), contact (Fig. 2b), liquid film draining (Fig. 2c) and coalescence (Fig. 2d). The
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average diameter and the collision speed of the bubbles were 255±4 µm and 0.022±0.004 m/s,
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respectively. The bubble size in this study is at least one order of magnitude smaller than the one
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measured in all existing conventional techniques.3 The bubble approaching speed in this study is in
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the “instant coalescence” regime (0.0012 – 0.14 m/s), i.e. bubble coalescence time is smaller than
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0.01 s.30 Our measured bubble coalescence times of smaller than 0.001 s validate the existence of this
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regime.
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Fig. 2 Image sequences of air bubble coalescence in the 0.75 M NaF solution in different stages: (a)
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approaching; (b) contact ( ݐൌ ݐ ); (c) liquid film draining and (d) First frame of coalescence ( ݐൌ
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்ݐ ). The scale bar represents 100 µm.
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RESULTS AND DISCUSSION
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Fig. 3a shows the coalescence time of a colliding bubble pairs in sodium halide solutions for
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different concentrations up to 0.5 M. The transition salt concentration (TC) was found at the shortest
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bubble coalescence time. At TC, the bubble dynamics moves from coalescence to inhibition and the
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bubbles can merge most efficiently. The TCs are found at 0.070 ± 0.010 M, 0.0850 ± 0.010 M, 0.175
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± 0.025 M and 0.325 ± 0.025 M for NaF, NaCl, NaBr and NaI solutions, respectively. It is important
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to note that our measured results of TC are within the range of previously published results that were
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determined via the film balance technique, i.e. 0.080 M, 0.115 M, 0.195 M and 0.345 M for NaF,
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NaCl, NaBr and NaI solutions, respectively.31, 32 However, the uncertainty of bubble coalescence time
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using our microfluidic method (< 6%) is much smaller than that of the film balance technique (as high
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as 20%).32 Despite of the consistency of our TC measurements, the measured bubble coalescence 5 ACS Paragon Plus Environment
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times ranging from 100 to 500 µs are much shorter than the reported values of 0.1 to 30 s using liquid
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film balance technique.3,
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discrepancy. The approaching speed of 22 mm/s in this study is much greater than the one that drives
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film drainage in the film balance technique (10 – 300 µm/s). A critical approach speed of
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approximately 35 µm/s was reported previously. Above this critical speed, the bubbles coalesce
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almost instantly within less than 0.1 s, and the transition concentration of salts is independent of the
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approaching speed.32 Our microfluidic method with the high-speed camera makes the observation of
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that instant coalescence possible. Furthermore, the time scale of the bubble coalescence process in our
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study of few hundreds of microseconds is more relevant to the practical systems such as bubble
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columns and flotation separation where the bubble contact time in solutions is shorter than 1 s, as
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compared with the time scale (as long as 20 s) of the film balance experiments.32 The laminar flow in
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a microchannel also eliminates the uncertainties of bubble coalescence due to the turbulence in the
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bubble swarm experiment. Finally, the microfluidic method provides a reliable and precise bubble
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coalescence time rather than qualitative description as “coalescence” or “non-coalescence” in the
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bubble pair method.
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The difference in the interface approaching speeds may lead to this
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Fig. 3a shows that the measured TCs for the monovalent anions increase with the anion size. The
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ion-specific effect on bubble coalescence in sodium halide salt solutions follows the order of
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inhibition capability: NaF > NaCl > NaBr > NaI. At concentrations lower than TC, the curves for
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bubble coalescence time almost overlap. However, at concentrations higher than TC, the curves
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deviate from each another significantly. In the regimes of low salt concentration, the bubble
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coalescence is controlled by the repulsion between the electric double layers at the bubble surfaces,
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which becomes weak with increasing salt concentration due to the compression of the double layers.
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The inhibition of bubble coalescence at high salt concentration is still not well understood.35, 36 Gibbs
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elasticity of the liquid film caused by the surface tension gradient, and hydrophobic forces between
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bubble interfaces due to dissolved gases in salt solutions are believed to be related to the ion-specific
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effect on bubble coalescence inhibition at high salt concentration.3
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We also plot the coalescence time against Ohnesorge number (ܱℎ ൌ ߤ/ඥߩߪ ܦwhere ߤ , ߩ, ߪ, and ܦ
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are viscosity, density, surface tension and bubble diameter, respectively), which is the ratio of viscous
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force to inertial and surface tension force, in Fig. 3b. The coalescence of bubbles and drops in an outer
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fluid is related to this dimensionless number, and a phase diagram can be created to identify the
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different regimes of the coalescence process.37 However, Fig. 3b shows that the change of Ohnesorge
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number in current study is very small (0.0065 – 0.0068). Therefore, we can safely neglect the effects
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of physical properties of salt solutions on the bubble coalescence process.
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Nearly 130 years on since the ion-specific effect on protein precipitation had been found by
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Hofmeister38, its satisfactory explanation is still a challenge for classic theories, including the Debye6 ACS Paragon Plus Environment
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Hückel and DLVO theories. Only phenomenological set of rules, such as the law of matching water
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affinities 39 and combining rules of ions to inhibit bubble coalescence13 could successfully explain the
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effect. Nevertheless, microfluidic technology proves here to be a useful tool for investigating the ion-
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specific effect on bubble coalescence.
(a)
(b)
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Fig. 3 Bubble coalescence time versus different salt concentrations (Fig. 3a) and Ohnesorge number
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(Fig. 3b). Values of surface tension, viscosity and density for the salt solutions can be found in
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literature.31, 33, 34 The symbols represent the different types of salts: NaF, NaCl, NaBr and NaI. The
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lines are only for eyes guide. The error bars represent the standard error (n = 4-10). The transition
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concentration refers to the shortest coalescence time as indicated with the arrows.
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CONCLUSIONS
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In summary, we report a microfluidic method to investigate the ion-specific effect on bubble
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coalescence. We directly visualised the bubble coalescence in a microchannel using high-speed
4
imaging and evaluated the bubble coalescence time to determine the transition concentrations of
5
sodium halide solutions. We found the capacity of sodium halide salts to inhibit bubble coalescence
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follows the order of NaF > NaCl > NaBr > NaI. Compared with conventional techniques, the
7
microfluidic method overcomes their inherent uncertainties and provides a promising tool for the
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future studies on ion-specific effect.
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AUTHOR INFORMATION
10
Corresponding Author
11
*E-mail:
[email protected] 12
Notes
13
The authors declare no competing finacial intersts.
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ACKNOWLEDGEMENTS
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The authors acknowledge the Australia Research Council (ARC) for financial support (project
16
number DP140101089). S. H. Tan and N. T. Nguyen gratefully acknowledges the support of the
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Griffith University Post-doctoral fellowship, New Researcher grant, ARC linkage grant
18
(LP150100153) and Griffith University-Peking University collaboration grant.
19 20
REFERENCES
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32. Firouzi, M.; Nguyen, A. V. Effects of monovalent anions and cations on drainage and lifetime of foam films at different interface approach speeds. Advanced Powder Technology 2014, 25 (4), 1212-1219. 33. Desnoyers, J. E.; Perron, G. The viscosity of aqueous solutions of alkali and tetraalkylammonium halides at 25°C. Journal of Solution Chemistry 1972, 1 (3), 199-212. 34. Novotny, P.; Sohnel, O. Densities of binary aqueous solutions of 306 inorganic substances. Journal of Chemical & Engineering Data 1988, 33 (1), 49-55. 35. Nguyen, P. T.; Hampton, M. A.; Nguyen, A. V.; Birkett, G. R. The influence of gas velocity, salt type and concentration on transition concentration for bubble coalescence inhibition and gas holdup. Chemical Engineering Research and Design 2012, 90 (1), 33-39. 36. Henry, C. L.; Craig, V. S. J. The link between ion specific bubble coalescence and Hofmeister effects is the partinioning of ions within the interface. Langmuir 2010, 26 (9), 6478-6483. 37. Paulsen, J. D.; Carmigniani, R.; Kannan, A.; Burton, J. C.; Nagel, S. R. Coalescence of bubbles and drops in an outer fluid. Nature Communications 2014, 5, 3182. 38. Hofmeister, F. Zur Lehre von der Wirkung der Salze. Archiv für experimentelle Pathologie und Pharmakologie 1888, 24 (4), 247-260. 39. Collins, K. D. Charge density-dependent strength of hydration and biological structure. Biophysical Journal 1997, 72 (1), 65-76.
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10 ACS Paragon Plus Environment