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Lam TQ, Tran ATQ, Le Anh Phan T, Zitzmann F, Van Ho Phan N, Nguyen KT. Enhancing extraction efficiency of carpaine in Carica papaya L. leaves: coupling acid-base extraction with surfactant-assisted micro-flotation. RSC Adv 2024; 14:28768-28778. [PMID: 39263437 PMCID: PMC11388190 DOI: 10.1039/d4ra05132g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2024] [Accepted: 08/27/2024] [Indexed: 09/13/2024] Open
Abstract
Carpaine, a major alkaloid in papaya leaves, has considerable cardiovascular benefits alongside its notable effects on muscle relaxation when utilized in medicine. In this study, the coupling of acid-base extraction and flotation was developed to completely remove the use of toxic solvents. This method entails the extraction of carpaine from Carica papaya L. leaves using hot water extraction alongside ultrasound-assisted extraction followed by the condensation of the species using surfactant-assisted flotation. The acid-base extraction was applied to alter the solubility of carpaine as desired at different stages of the process. The results showed that the carpaine extraction yield using all the treatments in conjunction was significantly higher compared to the control samples in which the acid-base extraction or flotation was not applied. The TLC and GC-FID results suggested that the bubbles introduced during the flotation were highly specific toward their interactions with carpaine in its hydrophobic complex form. The quantity of carpaine extracted using our method, in comparison to the amount of carpaine obtained using a different method from a previous study that utilized ethanolic extraction, exhibited a 2.32-fold greater extraction yield. This work demonstrates the importance of flexible utilization of both surface and bulk chemistry in achieving an improved solution for a technical problem.
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Affiliation(s)
- Thien Quang Lam
- School of Biotechnology, International University, Vietnam National University Ho Chi Minh City 700000 Vietnam +84 8 3724 4271 +84 8 3724 4270
| | - Anh Thi Quynh Tran
- School of Biotechnology, International University, Vietnam National University Ho Chi Minh City 700000 Vietnam +84 8 3724 4271 +84 8 3724 4270
| | - Thu Le Anh Phan
- School of Biotechnology, International University, Vietnam National University Ho Chi Minh City 700000 Vietnam +84 8 3724 4271 +84 8 3724 4270
| | - Florian Zitzmann
- School of Biotechnology, International University, Vietnam National University Ho Chi Minh City 700000 Vietnam +84 8 3724 4271 +84 8 3724 4270
| | - Nam Van Ho Phan
- University of Medicine and Pharmacy at Ho Chi Minh City Ho Chi Minh City Vietnam
| | - Khoi Tan Nguyen
- School of Biotechnology, International University, Vietnam National University Ho Chi Minh City 700000 Vietnam +84 8 3724 4271 +84 8 3724 4270
- School of Chemical Engineering, The University of Queensland Brisbane QLD 4072 Australia
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Ma X, Nguyen NN, Nguyen AV. A review on quantifying the influence of lateral capillary interactions on the particle floatability and stability of particle-laden interfaces. Adv Colloid Interface Sci 2022; 307:102731. [DOI: 10.1016/j.cis.2022.102731] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/09/2022] [Revised: 07/05/2022] [Accepted: 07/06/2022] [Indexed: 11/29/2022]
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Fan W, Li Y, Wang C, Duan Y, Huo Y, Januszewski B, Sun M, Huo M, Elimelech M. Enhanced Photocatalytic Water Decontamination by Micro-Nano Bubbles: Measurements and Mechanisms. ENVIRONMENTAL SCIENCE & TECHNOLOGY 2021; 55:7025-7033. [PMID: 33944552 DOI: 10.1021/acs.est.0c08787] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Despite recent advancements in photocatalysis enabled by materials science innovations, the application of photocatalysts in water treatment is still hampered due to low overall efficiency. Herein, we present a TiO2 photocatalytic process with significantly enhanced efficiency by the introduction of micro-nano bubbles (MNBs). Notably, the removal rate of a model organic contaminant (methylene blue, MB) in an air MNB-assisted photocatalytic degradation (PCD) process was 41-141% higher than that obtained in conventional macrobubble (MaB)-assisted PCD under identical conditions. Experimental observations and supporting mechanistic modeling suggest that the enhanced photocatalytic degradation is attributed to the combined effects of increased dissolution of oxygen, improved colloidal stability and dispersion of the TiO2 nanocatalysts, and interfacial photoelectric effects of TiO2/MNB suspensions. The maximum dissolved oxygen (DO) concentration of the MNB suspension (i.e., 11.7 mg/L) was 32% higher than that of an MaB-aerated aqueous solution (i.e., 8.8 mg/L), thus accelerating the hole oxidation of H2O on TiO2. We further confirmed that the MNBs induced unique light-scattering effects, consequently increasing the optical path length in the TiO2/MNB suspension by 7.6%. A force balance model confirmed that a three-phase contact was formed on the surface of the bubble-TiO2 complex, which promoted high complex stability and PCD performance. Overall, this study demonstrates the enhanced photocatalytic water decontamination by MNBs and provides the underlying mechanisms for the process.
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Affiliation(s)
- Wei Fan
- School of Environment, Northeast Normal University, Changchun 130117, China
| | - Yuhang Li
- School of Environment, Northeast Normal University, Changchun 130117, China
| | - Chunliang Wang
- School of Physics, Northeast Normal University, Changchun 130024, China
| | - Yutong Duan
- School of Environment, Northeast Normal University, Changchun 130117, China
| | - Yang Huo
- School of Physics, Northeast Normal University, Changchun 130024, China
| | - Brielle Januszewski
- Department of Chemical and Environmental Engineering, Yale University, New Haven, Connecticut 06520-8286, United States
| | - Meng Sun
- Department of Chemical and Environmental Engineering, Yale University, New Haven, Connecticut 06520-8286, United States
| | - Mingxin Huo
- School of Environment, Northeast Normal University, Changchun 130117, China
| | - Menachem Elimelech
- Department of Chemical and Environmental Engineering, Yale University, New Haven, Connecticut 06520-8286, United States
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Ling X, Mayer A, Yang X, Bournival G, Ata S. Motion of Particles in a Monolayer Induced by Coalescing of a Bubble with a Planar Air-Water Interface. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:3648-3661. [PMID: 33745278 DOI: 10.1021/acs.langmuir.1c00012] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
The motion of particles in a monolayer induced by the coalescing of a bare bubble with a planar air-water interface was investigated in a modified Langmuir trough. Experiments were performed to understand the effect of particle hydrophobicity, subphase pH, packing density, the presence of a weak surfactant, and particle size distribution on the behavior of particle movement in the monolayer during the coalescence process. Video tracking software was used to track the particles and extract data based on the video footage. Visual inspection indicated that the coalescence of the bubble with the monolayer was a chaotic process which led the interface to oscillate to an extent that the particles underwent complete rearrangement. A simple analysis was carried out on the main forces involved in particle motion and rearrangement at the oscillating air-water interface. The motion characteristic of particles was evaluated by speed and mean-square displacement (MSD). The results showed that the butanol-treated particles had higher speed and MSD than the particles with a stronger affinity to the air-water interface. Similar results were also found at high subphase pH and low packing factor.
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Affiliation(s)
- Xiangyang Ling
- School of Minerals and Energy Resources Engineering, University of New South Wales, Sydney, NSW 2052, Australia
| | - Alexander Mayer
- School of Minerals and Energy Resources Engineering, University of New South Wales, Sydney, NSW 2052, Australia
| | - Xingshi Yang
- School of Minerals and Energy Resources Engineering, University of New South Wales, Sydney, NSW 2052, Australia
| | - Ghislain Bournival
- School of Minerals and Energy Resources Engineering, University of New South Wales, Sydney, NSW 2052, Australia
| | - Seher Ata
- School of Minerals and Energy Resources Engineering, University of New South Wales, Sydney, NSW 2052, Australia
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5
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The role of the pulp-froth interface on particle detachment and selectivity. Adv Colloid Interface Sci 2021; 287:102296. [PMID: 33321332 DOI: 10.1016/j.cis.2020.102296] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2020] [Revised: 10/07/2020] [Accepted: 10/17/2020] [Indexed: 11/22/2022]
Abstract
The region between the pulp and the froth also known as pulp/froth interface in mineral flotation processes separates the pulp from the froth. Various researchers suggest particle detachment occurs around this region significantly affecting mineral recovery and grade. One of the causes pointed out is sudden deceleration of bubble-particle aggregate upon collision with the interface while another theory suggests detachment to be caused by bubble coalescence. A possible cause of divergence in views may be in the different methods of investigation employed. Though, more than several researchers indicate that detachment occurs, it is not conclusive whether kinetic energy changes or bubble coalesce or a combination of the two is responsible for detachment if any. Thus, this review examines and presents work that has been done on the role of the pulp-froth interface on particle detachment and selectivity. The review also considers the behaviour of a bubble with various interface as found in literature with a view of inferring the dominant cause of detachment at the interface.
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Zhu S, Zhao C, Lin J, Zhang W, Sheng Y, Chen X. Impact behavior of hydrophilic microparticles on the particle-laden interface. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2020.115913] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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Wang H, Brito-Parada PR. Coalescence Dynamics of Particle-Laden Bubbles. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:5394-5399. [PMID: 32340443 DOI: 10.1021/acs.langmuir.0c00938] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Understanding the coalescence of particle-laden bubbles is crucial to our understanding of the role of particles in stabilizing liquid foams. In this work, the coalescence of microparticle-laden bubbles is studied experimentally using high-speed photography. In particular, the interparticle forces in the neck region during the early stage of bubble coalescence are calculated. The results indicate that a monolayer of silica particles coating the bubble surfaces hinders the growth dynamics of the air neck formed between the coalescing bubbles. We postulate that the decrease in the growth dynamics is due to the surface pressure caused by the particle interaction after the initiation of bubble coalescence. We identify that the apparent surface tension in the neck region increases with time for particle-laden bubbles and is lower for larger particle sizes. These findings enhance our understanding of the role of particles on the dynamics of fast deforming interfaces.
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Affiliation(s)
- Hao Wang
- Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom
| | - Pablo R Brito-Parada
- Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom
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8
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Zhu SJ, Liu RZ, Wang T, Niu YJ, Lu HF, Chen XL. Impact Behavior of Hydrophilic Micron Particles on a Planar Gas-Liquid Interface. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:15017-15028. [PMID: 31638399 DOI: 10.1021/acs.langmuir.9b02657] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
The behavior of hydrophilic micron particles impacting on the gas-liquid interface has been further experimentally studied using a high-speed camera at different surface tensions and dynamic viscosities of liquids. The results show that the impact behavior exhibits suspension and submergence modes, whose boundary cannot be clearly identified because the overlap between the impact velocity ranges occurs because of the unstable pinning of the three-phase contact line on the surface of hydrophilic particles. The liquid properties have little effect on the wettability of hydrophilic particles but greatly influence the hydrodynamic and capillary force exerted on the particles, leading to the expansion of the suspension mode range. In addition, the penetration probability changes little with the decrease in surface tension, while it significantly reduces with the increase in dynamic viscosity. A penetration probability model is predicted as an exponential function of the inertial and supporting forces, and the experimental values agree well with the predicted values. The outcomes of this research will be helpful for understanding the mechanism of particle-interface interaction and providing guidance for enhancing the separation of hydrophilic fine ash via a bubble scrubbing system.
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Affiliation(s)
- Shi-Jie Zhu
- Shanghai Engineering Research Center of Coal Gasification , East China University of Science and Technology , Shanghai 200237 , China
| | - Run-Zhe Liu
- Shanghai Engineering Research Center of Coal Gasification , East China University of Science and Technology , Shanghai 200237 , China
| | - Tian Wang
- Shanghai Engineering Research Center of Coal Gasification , East China University of Science and Technology , Shanghai 200237 , China
| | - Yong-Jian Niu
- Shanghai Engineering Research Center of Coal Gasification , East China University of Science and Technology , Shanghai 200237 , China
| | - Hai-Feng Lu
- Shanghai Engineering Research Center of Coal Gasification , East China University of Science and Technology , Shanghai 200237 , China
| | - Xue-Li Chen
- Shanghai Engineering Research Center of Coal Gasification , East China University of Science and Technology , Shanghai 200237 , China
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Whitby CP, Parthipan R. Influence of particle concentration on multiple droplet formation in Pickering emulsions. J Colloid Interface Sci 2019; 554:315-323. [PMID: 31302369 DOI: 10.1016/j.jcis.2019.07.017] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2019] [Revised: 07/05/2019] [Accepted: 07/07/2019] [Indexed: 11/30/2022]
Abstract
HYPOTHESIS Multiphase droplets form when oil and water are mixed together at the ambivalent conditions that occur close to phase inversion. In this paper we propose a mechanism for the stabilisation of multiphase droplets by a single population of particles. EXPERIMENTS We investigated the microstructure of emulsions formed when dodecane and water are mixed in the presence of hydrophobic fumed silica nanoparticles. We identified the range of compositions, mixing times and rates where water-in-oil-in-water emulsions are stabilised in a single mixing step. To explore how the particle availability and mixing conditions lead to multiple emulsion formation we used light scattering and microscopy techniques to probe the size and morphology of the drops, and the particle coverage of the interfaces. FINDINGS Our key finding is that to stabilise multiphase drops there should be sufficient particles available to coat water drops that are entrained within coalescing oil droplets. The size of an entrained drop is determined by the volume of the rupturing film that forms between the oil drops. The particle coating prevents the entrained drop from escaping into the external aqueous phase. These results suggest a simple route for controlling the formation and stability of multiple emulsions for encapsulation applications.
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Affiliation(s)
- Catherine P Whitby
- School of Fundamental Sciences, Massey University, Palmerston North 4442, New Zealand.
| | - Rajendran Parthipan
- School of Fundamental Sciences, Massey University, Palmerston North 4442, New Zealand
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Wang P, Cilliers JJ, Neethling SJ, Brito-Parada PR. Effect of Particle Size on the Rising Behavior of Particle-Laden Bubbles. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:3680-3687. [PMID: 30785756 DOI: 10.1021/acs.langmuir.8b04112] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The rising behavior of bubbles, initially half and fully coated with glass beads of various sizes, was investigated. The bubble velocity, aspect ratio, and oscillation periods were determined using high-speed photography and image analysis. In addition, the acting forces, drag modification factor, and modified drag coefficient were calculated and interpreted. Results show that the aspect ratio oscillation of the rising bubbles is similar, irrespective of the attached particle size. As the particle size is increased, the rising bubbles have a lower velocity and aspect ratio amplitude, with the time from release to each aspect ratio peak increasing. Higher particle coverage is shown to decrease the bubble velocity and dampen the oscillations, reducing the number of aspect ratio peaks observed. The highest rise velocities correspond to the lowest aspect ratios and vice versa, whereas a constant aspect ratio yields a constant rise velocity, independent of the particle size. Force analysis shows that the particle drag modification factor increases with the increased particle size and is greatest for fully laden bubbles. The modified drag coefficient of particle-laden bubbles increases with the increased particle size, although it decreases with the increased Reynolds number independent of the particle size. The drag force exerted by the particles plays a more dominant role in decreasing bubble velocities as the particle size increases. The results and interpretation produced a quantitative description of the behavior of rising particle-laden bubbles and the development of correlations will enhance the modeling of industrial applications.
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Affiliation(s)
- Peipei Wang
- Advanced Mineral Processing Research Group, Department of Earth Science and Engineering , Imperial College London , London SW7 2AZ , U.K
| | - Jan J Cilliers
- Advanced Mineral Processing Research Group, Department of Earth Science and Engineering , Imperial College London , London SW7 2AZ , U.K
| | - Stephen J Neethling
- Advanced Mineral Processing Research Group, Department of Earth Science and Engineering , Imperial College London , London SW7 2AZ , U.K
| | - Pablo R Brito-Parada
- Advanced Mineral Processing Research Group, Department of Earth Science and Engineering , Imperial College London , London SW7 2AZ , U.K
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Yang X, Mayer A, Bournival G, Pugh R, Ata S. Experimental Technique to Study the Interaction Between a Bubble and the Particle-Laden Interface. Front Chem 2018; 6:348. [PMID: 30155463 PMCID: PMC6102402 DOI: 10.3389/fchem.2018.00348] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/28/2018] [Accepted: 07/25/2018] [Indexed: 11/13/2022] Open
Abstract
An experimental apparatus was developed based on the Langmuir-Blodgett trough design to investigate the compression of monolayers of micron size spherical glass particles at the air-water interface and the interaction of an air bubble with the monolayers. The setup modifies the regular Langmuir-Blodgett trough by using a deep and clear glass cell. The cell allowed both the optical observation of the particle monolayer and the insertion of a capillary to produce a bubble under the layer of particles. Surface pressure-area (Π-A) isotherms were measured while the particles rearranged at the interface during compression and expansion for different pH values and particle wettability. We also analyzed the motion of particles in the monolayer by the surface pressure and packing factor to gain further insights into the behavior of particles during the coalescence process. The results suggested that the coalescence of a bubble was dependent on the formation of a defect in the particle layer and the defect size was both strongly influenced by particle hydrophobicity and the pH of the subphase.
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Affiliation(s)
- Xingshi Yang
- School of Mining Engineering, University of New South Wales, Sydney, NSW, Australia
| | - Alexander Mayer
- School of Mining Engineering, University of New South Wales, Sydney, NSW, Australia
| | - Ghislain Bournival
- School of Mining Engineering, University of New South Wales, Sydney, NSW, Australia
| | - Robert Pugh
- Department of Physics and Mathematics, Nottingham Trent University, Nottingham, United Kingdom
| | - Seher Ata
- School of Mining Engineering, University of New South Wales, Sydney, NSW, Australia
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Saavedra Moreno Y, Bournival G, Ata S. Analysis of Bubble Coalescence Dynamics and Postrupture Oscillation of Capillary-Held Bubbles in Water. Ind Eng Chem Res 2017. [DOI: 10.1021/acs.iecr.7b03197] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yesenia Saavedra Moreno
- School of Mining Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia
| | - Ghislain Bournival
- School of Mining Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia
| | - Seher Ata
- School of Mining Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia
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Kaptay G. On the Negative Surface Tension of Solutions and on Spontaneous Emulsification. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2017; 33:10550-10560. [PMID: 28918625 DOI: 10.1021/acs.langmuir.7b01968] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
The condition of negative surface tension of a binary regular solution is discussed in this paper using the recently reconfirmed Butler equation (Langmuir 2015, 31, 5796-5804). It is shown that the surface tension becomes negative only for solutions with strong repulsion between the components. This repulsion for negative surface tension should be so strong that this phenomenon appears only within a miscibility gap, that is, in a two-phase region of macroscopic liquid solutions. Thus, for a macroscopic solution, the negative surface tension is possible only in a nonequilibrium state. However, for a nano-solution, negative surface tension is also possible in equilibrium state. It is also shown that nano- and microemulsions can be thermodynamically stable against both coalescence and phase separation. Further, the thermodynamic theory of emulsion stability is developed for a three-component (A-B-C) system with A-rich droplets dispersed in a C-rich matrix, separated by the segregated B-rich layer (the solubility of B is limited in both A and C while the mutual solubility of A and C is neglected). It is shown that when a critical droplet size is achieved by forced emulsification, it is replaced by spontaneous emulsification and the droplet size is reduced further to its equilibrium value. The existence of maximum temperature of emulsion stability is shown. Using low-energy emulsification below this maximum temperature, spontaneous emulsification can appear, which is enhanced with further decrease of temperature. This finding can be applied to interpret the experimental observations on spontaneous emulsification or for the design of stable micro- and nanoemulsions.
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Affiliation(s)
- George Kaptay
- Department of Nanotechnology, University of Miskolc , Egyetemvaros, Miskolc 3515, Hungary
- MTA-ME Materials Science Research Group , Egyetemvaros, Miskolc 3515, Hungary
- Bay Zoltan Ltd on Applied Research, BAY-ENG , 2 Igloi, Miskolc 3519, Hungary
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Yu YE, Khodaparast S, Stone HA. Armoring confined bubbles in the flow of colloidal suspensions. SOFT MATTER 2017; 13:2857-2865. [PMID: 28352886 DOI: 10.1039/c6sm02585d] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We study the process of coating the interface of a long gas bubble, which is translating in a horizontal circular capillary tube filled with a colloidal suspension. A typical elongated confined bubble is comprised of three distinct regions: a spherical front cap, a central body that is separated from the tube wall by a thin liquid film, and a spherical cap at the back. These three regions are connected by transitional sections. Particles gradually coat the bubble from the back to the front. We investigate the mechanisms that govern the initial accumulation of the particles and the growth of the particle-coated area on the interface of the bubble. We show that the initial accumulation of particles starts at the stable stagnation ring on the rear cap of the bubble, and the particles will completely coat the spherical cap at the back of the bubble before accumulating on the central body. Armoring the central interface of the bubble with particles thickens the liquid film around the bubble relative to that around the particle-free interface. This effect creates a rather sharp step on the interface of the bubble in the central region, which separates the armored region from the particle-free region. After the bubble is completely coated, the liquid film around the body of the bubble will adjust again to an intermediate thickness. We show that the three distinct thicknesses that the liquid film acquires during the armoring process can be well described analytically.
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Affiliation(s)
- Yingxian Estella Yu
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA.
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