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Modeling Bubble Coarsening in Froth Phase from First PrinciplesPark, Seungwoo 07 May 2015 (has links)
Between two neighboring air bubbles in a froth (or foam), a thin liquid film (TLF) is formed. As the bubbles rise upwards, the TLFs thin initially due to the capillary pressure created by curvature changes. As the film thicknesses (H) reach approximately 200 nm, the disjoining pressure created by surface forces in the films also begins to control the film drainage rate and affect the waves motions at the air/water interfaces. If the disjoining pressure is negative, both the film drainage and the capillary wave motion accelerate. When the TLF thins to a critical film thickness (Hcr), the amplitude of the wave motion grows suddenly and the two air/water interfaces touch each other, causing the TLF to rupture and bubbles to coalesce.
In the present work, a new model that can predict Hcr has been developed by considering the film drainage due to both viscous film thinning and capillary wave motion. Based on the Hcr model, bubble-coarsening in a dynamic foam has been predicted by deriving the geometric relation between the thickness of the lamella film, which controls bubble-coalescence rate, and the Plateau border area, which controls liquid drainage rate.
Furthermore, a model for predicting bubble-coarsening in froth (3-phase foam) has been developed by developing a film drainage model quantifying the effect of particles on pc. The parameter pc is affected by the number of particles and the local capillary pressure around particles, which in turn vary with the hydrophobicity and size of the particles in the film. Assuming that films rupture at free films, the pc corrected for the particles in lamella films has been used to determine the critical rupture time (tcr), at which the film thickness reaches Hcr, using the Reynolds equation. Assuming that the number of bubbles decrease exponentially with froth height, and knowing that bubbles coalesce when film drains to a thickness Hcr, a bubble coarsening model has been developed. The model predictions are in agreement with the experimental data obtained using particle of varying hydrophobicity and size. / Ph. D.
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Bubble Solid InteractionMukherjee, Manas 12 1900 (has links)
The interaction of a bubble with solid surfaces, hydrophobic and hydrophilic, was investigated. When a bubble approaches towards a solid surface, a thin liquid film forms between them. The liquid in the film drains until an instability forms and film ruptures resulting in a three phase contact (TPC). Following rupture, the TPC line spreads on the solid surface. In the present study, glycerol-water solutions with varying percentages of water were used to investigate the effect of viscosity. Experiments were carried out with varying bubble size. The rupture and TPC line movement were recorded by high-speed digital video camera. The dependence of the TPC line movement on different parameters was investigated. The experimental results were compared with the existing theories for the TPC line movement. An empirical equation was developed to predict the TPC line movement. Formation or rupturing of the intervening film in case of a hydrophilic surfaces, which were glass surface cleaned by six cleaning techniques, was investigated. It was shown that a stable film forms for acid or alkali cleaning.
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Studies of Thin Liquid Films Confined between Hydrophobic SurfacesLi, Zuoli 12 December 2012 (has links)
Surface force measurements previously conducted with thiolated gold surfaces showed a decrease in excess film entropy (£GSf), suggesting that hydrophobic force originates from changes in the structure of the medium (water) confined between hydrophobic surfaces. As a follow-up to the previous study, surface force measurements have been conducted using an atomic force microscope (AFM) with hydrophobic silica surfaces at temperatures in the range of 10 to 40¢XC. The silica sphere and silica plate were treated by both chemisorption of octadecyltrichlorosilane (OTS) and physical adsorption of octadecyltrimethylammonium chloride (C18TACl). A thermodynamic analysis of the results show similar results for both of the samples, that both ""Sf and excess film enthalpy ("Hf) become more negative with decreasing thickness of the water layer between the hydrophobic surfaces and decreasing temperature. |"Hf | > |T"Sf| represents a necessary condition for the excess free energy change ("Gf ) to be negative and the hydrophobic interaction to be attractive. Thus, the results obtained with both the silylated and C18TACl-adosrbed silica surfaces in the present work and the thiolated gold suefaces reported before show hydrophobic forces originate from structural changes in the medium. Thermodynamic analysis of SFA force measurements obtained at various temperatures revealed that "Sf were much more negative in the shorter hydrophobic force ranges than in the longer ranges, indicating a more significant degree of structuring in the water film when the two hydrophobic surfaces are closer together.
It is believed that the water molecules in the thin liquid films (TLFs) of water form clusters as a means to reduce their free energy when they cannot form H-bonds to neighboring hydrophobic surfaces. Dissolved gas molecules should enhance the stability of structured cluster due to the van der Waals force between the entrapped gas molecules and the surrounding water molecules1, which may enhance the strength of the hydrophobic force. Weaker long-range attractive forces detected in degassed water than in air-equilibrated water was found in the present work by means of AFM force measurements, supporting the effect of dissolved gas on the structuring of water. At last, temperature effects on hydrophobic interactions measured in ethanol and the thermodynamic analysis revealed similar results as those found in water, indicating that the hydrophobic force originates from H-bond propagated structuring in the mediums. / Ph. D.
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Surface Forces in Thin Liquid FilmsHuang, Kaiwu 10 January 2020 (has links)
Thin liquid films (TLFs) of water are ubiquitous in daily lives as well as in many industrial processes. They can be formed between two identical phases, as in colloid films between two macroscopic surfaces and foam films between two air bubbles; and between two dissimilar phases, as in wetting films. Stability of the colloids, foams, and wetting films is determined by the surface forces in the TLFs. Depending on the nature of the surfaces involved, the stabilities can be predicted using combinations of three different forces, i.e., the van der Waals, electrical double layer (EDL), and hydrophobic forces. The objective of the present work is to study the roles of these forces in determining the stabilities of the TLFs of water confined between i) an air bubble and a hydrophobic surface and ii) an oil drop and a hydrophobic surface, with particular interest in studying the role of the hydrophobic force.
The first part of the study involves the measurement of the surface forces in the TLFs confined between bitumen drops and mineral surfaces. Deformation of bitumen drops has been monitored by interferometry while it approaches a flat surface. By analyzing the spatiotemporal film profiles, both the capillary and hydrodynamic forces have been calculated using the Young-Laplace equation and the Reynolds lubrication approximation, respectively, with the surface forces being determined by subtracting the latter from the former. The results are useful for better understanding the effects of electrolyte and pH on bitumen liberation and recovery by flotation and for developing a filtration model from first principles.
The second part of the study involves the surface force measurement in wetting (flotation) films. Surface forces in the TLFs of water on silica surfaces have been measured using the force apparatus for deformable surfaces (FADS) using an air bubble as a force sensor. The measurements have been conducted in the presence of various cationic surfactants such as dodecylamine hydrochloride (DAH), and alkyltrimethylammonium chloride (CnTACl), electrolytes, and polymers. The results show that film stability and hence the kinetics of film thinning can be greatly improved by the control of bubble ζ-potentials, whose role in flotation has long been neglected in flotation studies.
Force measurements have also been conducted in the TLFs of water confined between oil drops and hydrophobic surfaces. Stability of this type of film plays an important role in a process of using oil drops rather than air bubbles to collect hydrophobic particles from aqueous phase. The force measurements conducted in the present work show that hydrophobic forces are much stronger in water films formed between oil drops and hydrophobic surfaces than in water films formed between air bubbles and hydrophobic surfaces, which can be attributed to the differences in the Hamaker constants involved. / Doctor of Philosophy / When two macroscopic surfaces in water are brought to a close proximity, a thin liquid film (TLF) is formed in between, with its stability being determined by the surface forces present in the film. TLFs are ubiquitous in daily lives and play a decisive role in many industrial processes such as mineral flotation, food processing, oil extraction, heat transfer, etc. In the present work, the surface forces present in wetting films have been measured by approaching an air bubble (or an oil drop) slowly toward a flat surface while monitoring the curvature changes during film thinning by interferometry and calculating the capillary forces using the Young-Laplace equations. By analyzing the results in view of the Frumkin-Derjaguin isotherm and the extended DLVO theory, it was possible to determine the changes in the van der Waals, electrical double-layer (EDL), and hydrophobic forces during film thinning. The results show that both the EDL and the long-range component of the hydrophobic force control the kinetics of film thinning and rupture while the contact angle formation is controlled by the van der Waals force and the short-range hydrophobic force. It has been found also that n-alkane drops form substantially larger contact angles than air bubbles on a hydrophobic surface due to the fact that the van der Waals force is attractive in the drop-surface interactions while the same is repulsive in the bubble-surface interactions. These observations have a profound implication in flotation, that is, oil drops can recover hydrophobic particles from an aqueous phase better than air bubbles.
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Modeling of liquid film and breakup phenomena in Large-Eddy Simulations of aeroengines fueled by airblast atomizers / Modélisation des phénomènes de film liquide et d'atomisation pour la simulation aux grandes échelles de turbines a gaz alimentées par atomiseurs airblaChaussonnet, Geoffroy 13 May 2014 (has links)
Les turbines à gaz doivent satisfaire des normes d'émission polluantes toujours en baisse. La formation de polluants est directement liée à la qualité du mélange d'air et de carburant en amont du front de flamme. Ainsi, leur réduction implique une meilleure prédiction de la formation du spray et de son interaction avec l'écoulement gazeux. La Simulation aux Grandes Échelles (SGE) semble un outil numérique approprié pour étudier ces mécanismes. Le but de cette thèse est de développer des modèles phénoménologiques décrivant la phase liquide notamment le film et son atomisation en bout de lèvre d'injecteur, dans un contexte SGE. Ces modèles sont validés ou calibrés sur l'expérience académique réalisée par l'Institut für Thermische Strömungsmaschinen (ITS) de l'université technologique de Karlsruhe (KIT), et appliqués dans une configuration réelle de moteur d'hélicoptère. Dans un premier temps, le film liquide mince est décrit par une approche Lagrangienne. Les particules de film représentent un volume élémentaire de liquide adhérent à la paroi. L'équation du mouvement est donnée par l'intégration des équations de Saint-Venant sur l'épaisseur du film. La dynamique du film est donnée par le gradient de pression longitudinal, le cisaillement interfacial du gaz et la gravité. Dans un second temps, l'atomisation du film est caractérisée par la distribution de taille de gouttes du spray généré. Celle-ci est décrite par une distribution de Rosin-Rammler dont les coefficients sont paramétrés par la vitesse du gaz, la tension superficielle du liquide et l'épaisseur de la lèvre de l'injecteur. Les constantes de ce modèle, baptisé PAMELA, sont calibrées sur l'expérience du KIT-ITS. La simulation de l'expérience KIT-ITS permet de valider le modèle de film, de vérifier la robustesse du modèle PAMELA, et de comparer qualitativement l'angle du spray généré. L'application de ces modèles dans une configuration réelle partiellement instrumentée permet de valider PAMELA sans modification de ses constantes, et d'étudier leur impact sur la structure de flamme, comparé aux méthodes traditionnelles d'injection liquide. / Aeronautical gas turbines need to satisfy growingly stringent demands on pollutant emission. Pollutant emissions are directly related to the quality of fuel air mixing prior to combustion. Therefore, their reduction relies on a more accurate prediction of spray formation and interaction of the spray with the gaseous turbulent flow field. Large-Eddy Simulation (LES) seems an adequate numerical tool to predict these mechanisms. The objectives of this thesis is to develop phenomenological models describing the liquid phase, in particular the film and its atomization at the injector atomizing lips, in the context of LES. These models are validated or calibrated on the academic experiment performed at Institut für Thermische Strömungsmaschinen (ITS) from the Karlsruhe Institute of Technology (KIT), and applied to a helicopter engine real configuration. In a first step, the thin liquid film is described by a Lagangian approach. Film particles represent an elementary volume of liquid at the wall surface. The equation of motion is given by integrating the Saint-Venant equations over the film thickness. The film dynamics derives from the pressure gradient, the interfacial shear and gravity. In a second step, the film breakup is characterized by the drop size distribution of the spray. The former one is described by a Rosin-Rammler distribution, whose coefficients depend on the gas velocity, the liquid surface tension and the atomizing edge thickness of the injector. The model, labelled PAMELA, is calibrated from the KIT-ITS experiment. The simulation of the KIT-ITS experiment allows to validate the film model, to check PAMELA robustness, and to compare qualitatively the spray angle. The application of these models in a real configuration allows to check PAMELA robustness without constants modification, and to study their impact on the flame structure, in comparison with usual methods of liquid injection.
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