Measurements and analysis of xanthate chain length effect on bubble attachment to galena surfaces
Introduction
The attachment of air bubbles to mineral surfaces in water is a major phenomenon in froth flotation (Nguyen and Schulze, 2004). Usually, to represent objectively, this attachment is described in terms of attachment time (Xing et al., 2017b). Because the attachment time, also known as the induction time, is a key parameter that directly represents flotation kinetics (Albijanic et al., 2010), it was previously used to model flotation recovery. Typically, particles with a short attachment time exhibit fast flotation kinetics (Xing et al., 2017b). Many studies employed attachment time as a metric to analyse flotation (Albijanic et al., 2010).
Meanwhile, the bubble-mineral attachment is determined by various surface chemical properties, and the hydrophobicity of the particle surface dominantly determines the attachment (Albijanic et al., 2010). As the hydrophobicity increases, the attachment interaction between the bubble and the particle becomes stronger (You et al., 2020). Thus, to improve the flotation efficiency, the hydrophobicity of the mineral surfaces is increased by adsorbing collectors. (Wills & Finch, 2016). Flotation experiments showed an increase in flotation recovery and rate with the increasing chain length of collectors (Ackerman et al., 1987, Han et al., 2019).
Although this chain length effect on attachment interaction between the bubble and the mineral surface was proved experimentally, quantitative analysis to reveal the underlying mechanisms is missing (Albijanic et al., 2010). The attachment process can be divided into three components – drainage, rupture, and three-phase contact line (TPCL) expansion (Albijanic et al., 2010). The drainage, which can be defined as the process of thinning until the intervening liquid film thickness becomes the critical film thickness (hc) (or critical rupture thickness, hcr), is the most dominant component among the three described components (Manor et al., 2008). Therefore, most theoretical studies on attachment adopted the drainage theory. Drainage is determined by the Laplace pressure, which corresponds to bubble deformation and surface forces (Nguyen and Schulze, 2004), which include the van der Waals force and the electrical double-layer force (Nguyen and Schulze, 2004). Thus, it is necessary to analyse the attachment using thin-film drainage theory and surface forces. However, because hydrophobic surfaces cannot properly account for be described by the celebrated Derjaguin–Landau–Verwey–Overbeek (DLVO) theory of surface forces, accurate model predictions remain a challenge. (Albijanic et al., 2010, Xing et al., 2017a).
In recent studies, the multilayer dispersion theory has received attention since the nanobubbles have been observed at water-hydrophobic interfaces by neutron reflectivity experiments, x-ray reflectivity or AFM (Azadi et al., 2015, Doshi et al., 2005, Hampton and Nguyen, 2010). It was discovered that these nano-bubbles were generated by gases dissolved in water (Peng et al., 2013). Several studies suggested that the nano-micro bubbles can attribute to the rupture of the liquid film and the hydrophobic interaction is a consequence of bubble-bubble interaction involving capillary forces (Kosior et al., 2015, Hampton and Nguyen, 2010). These nanobubbles form an interfacial gas enrichment (IGE) layer on the surface in laminar flow (Azadi et al., 2015, Peng et al., 2013). Therefore, it has been suggested that the surface force of a hydrophobic surface can be calculated using the advanced multilayer dispersion (van der Waals) force after taking the IGE layer thickness into account (Han et al., 2020).
In this study, we investigate the effect of chain length of collectors on the bubble-mineral surface attachment by measuring the attachment time and using a multilayer dispersion theory to determine and validate the attachment time of air bubbles to mineral surfaces in solutions of collectors with different chain length. The attachment time was determined by a recently developed proprietary apparatus from transient force vs. time and transient film thickness vs. time curves, which, in turn, were obtained using a tensiometer and high-speed camera, respectively. We measured the time taken by air bubbles to attach to mineral surfaces as a function of surface hydrophobicity and bubble size.
Galena, a sulphide mineral recovered by flotation (Wills & Finch, 2016), was used as the representative mineral surface in this study. Galena is an important mineral in the lead-zinc flotation systems critical to the automobile industry and is relatively stable in water, relatively hydrophobic and has a good crystal structure (cubic) with planar faces (Xie et al., 2016). Thus, its hydrophobicity can be controlled by conditioning with xanthates (thiol-type surfactants) of different carbon-chain lengths (Özün and Ergen, 2019) and it can be reduced in roughness more easily than other minerals. Further, experiments were conducted in conditions similar to those encountered in the actual flotation process of galena.
The measured results were quantified by a drainage model developed using the multilayer dispersion theory that incorporates the IGE of dissolved gases. The advanced van der Waals pressure was calculated using the Hamaker function, which considers the thickness of the IGE layer on the galena surface. The multilayer dispersion theory has allowed us to describe the effect of galena hydrophobicity induced by the xanthate chain length in terms of IGE on the bubble-surface attachment. Finally, this study made it possible to explain the effect of the chain length of the collector on attachment time and provides the principle for the attachment mechanism of hydrophobic minerals to air bubbles.
Section snippets
Materials
Galena (98.5 wt% purity, Brushy Creek, Missouri, USA) was selected as the experimental sulphide mineral surface. The results of scanning electron microscopy-energy dispersive X-ray analysis (SEM-EDS) on galena surfaces are shown in Fig. S1 (Supplementary document). Epoxy resin (average MW ≤ 700) and a hardener (triethylenetetramine) were purchased from Struers, Denmark. Diamond suspensions (6, 3, and 1 μm) and cloth pads were sourced from ATM GmbH, Germany, while potassium ethyl xanthate (KEX,
Intermolecular forces on bubble-galena interaction
The attachment dynamics between a mineral surface and air bubbles are governed by liquid film drainage between them (Manor et al., 2008, Pan and Yoon, 2016). Therefore, the attachment time can be quantified using the film drainage model that employs parameters corresponding to hydrodynamic and disjoining pressures; these pressures are created by surface forces between a bubble and solid surface (Pan and Yoon, 2016). According to the DLVO theory, disjoining pressure can be calculated as the sum
Experimental results
Fig. 4 illustrates bubble attachment on galena surfaces with respect to time. We could capture bubble images at a rate of 1 ms per frame because the camera frame rate was set to 1000 fps. The attachment process consisted of drainage, rupture, and TPCL expansion. Images were recorded from the initial distance (h0 = 10 μm) to the point at which attachment was complete. In previous studies, it was observed that air bubbles did not attach to mineral surfaces when CA ≤ 40° (Han et al., 2019, You et
Conclusion
In summary, we proposed a mechanism to explain the attachment of air bubbles in water on galena surfaces while taking the effect of surface hydrophobicity and bubble size into account. The hydrophobicity of galena surfaces was controlled by treating them with xanthates of different carbon-chain lengths. Because drainage time is the most important component of attachment time, we quantified experimental attachment time results using the drainage theory (which considers Laplace pressure, the
CRediT authorship contribution statement
Seongsoo Han: Conceptualization, Methodology, Validation, Formal analysis, Investigation, Writing - original draft, Writing - review & editing. Anh V. Nguyen: Conceptualization, Methodology, Validation, Writing - review & editing, Supervision. Kwanho Kim: Conceptualization, Methodology, Formal analysis, Writing - review & editing. Jaikoo Park: Validation, Formal analysis, Writing - review & editing. Kwangsuk You: Conceptualization, Methodology, Validation, Formal analysis, Investigation,
Declaration of Competing Interest
The authors declare that they have no known competing for financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgments
This work was supported by a National Research Council of Science & Technology (NST) grant from the Korean government (MSIP) (No. CRC-15-06-KIGAM).
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