Le présent travail de recherche concerne l'étude de la convection de Rayleigh-Bénard-Marangoni dans un récipient cylindrique doté d'un fond en substrat solide. Le substrat solide est chauffé sur sa face inférieure par un flux de chaleur localisé. L'étude comporte deux parties : La première partie du travail consiste en une modélisation physique du problème associée à des simulations numériques. Les équations de Navier-Stokes et de l'énergie sont résolues en 3D par une méthode de volumes finis. Un transfert de chaleur conjugué solide-liquide est considéré. Des morphologies originales de cellules (type et nombre) sont observées, elles dépendent des conditions géométriques, des nombres adimensionnels qui régissent la physique de l'écoulement (nombre de Prandtl, de Rayleigh et de Marangoni ainsi que du rapport des conductivités thermiques du substrat solide et du fluide). Les transferts de chaleur sont aussi évalués pour chaque cas d'étude. Dans la deuxième partie, nous allons détaillons une étude expérimentale de la convection de Rayleigh-Bénard-Marangoni dans la même configuration que celle étudiée numériquement. Les structures convectives et leurs évolutions sont étudiées à partir d’images relevées par thermographie infra-rouge. Différents modes d'organisation des cellules convectives ont pu être mis en évidence pour ce type de chauffage à flux thermique imposé non uniforme. / The present research work concerns the study of Rayleigh-Bénard-Marangoni convection in a cylindrical container with a solid substrate base. This solid substrate is heated by a localized heat flux on its underside. The study is divided into two parts : The first part of the work consists of a physical modelling of the problem associated with numerical simulations. The Navier-Stokes and energy equations are solved by using a 3D finite volume method. A conjugate solid-liquid heat transfer is considered. Original morphology of cells (type and number) are observed, they are linked to the geometrical conditions, the dimensionless numbers which govern the physical problem (Prandtl, Rayleigh and Marangoni numbers and the ratio of solid substrate to liquid thermal conductivities). The heat transfers are also evaluated in each case. In the second part of the work, we present an experimental study of Rayleigh-Bénard-Marangoni convection in the same configuration as that studied numerically. Convective structures and their evolutions are studied from images recorded by infrared thermography. Different modes of organization of convective cells have been highlighted for this type of heating with imposed non-uniform heat flux.

The ice melting and lateral cavity formation caused by in situ burning (ISB) of liquid fuels in ice-infested waters was studied in order to improve predictions on the removal efficiency of this oil spill mitigation method. For this purpose, several experimental studies were conducted to increase the fundamental understanding of the mechanisms that lead to ice melting and lateral cavity formation. The findings of the experimental studies provided the required knowledge to mathematically formulate the ice melting problem. Mathematical scaling analysis of ice melting during burning of oils in the vicinity of ice was performed to create a tool to estimate the extent of melting that occurs during ISB in ice-infested waters. A series of lab-scale experiments were designed to systematically investigate the ice melting problem. The first set of experiments were conducted in cylindrical shaped ice cavities with a 5.7 cm diameter. Burning of n-octane from ignition to natural extinction and the subsequent geometry change of the ice, fuel thickness, and fuel temperature were measured. The preliminary experimental observations showed that the melting of the ice walls was higher in areas where the fuel layer was in contact with ice compared with places of flame exposure. Based on these observations, a hypothesis that suggested the convective flows in the liquid fuel (driven mainly by surface tension and buoyancy) were contributing in melting of the ice was proposed to explain the origins of the lateral cavity. To evaluate this hypothesis, two dimensionless numbers (Marangoni and Rayleigh) were calculated as the indicators of the mechanisms of convection in the fuel layer. The comparison between the melting speed and these dimensionless numbers indicated surface tension driven flow was dominant while the role of buoyancy was negligible. In another set of experiments, Particle Image Velocimetry (PIV) was used to study the flow structure within the liquid-phase of n-octane pool fire bound on one side by an ice wall. Experiments were conducted in a square glass tray (9.6 cm × 9.6 cm × 5 cm) with a 3 cm thick ice wall placed on one side of the tray. Burning rate, flame height, and melting front velocity were measured to analyze the effect of heat feedback on melting of the ice. The melting rate of the ice increased from 0.6 cm/min for the first 50 seconds after ignition to 1 cm/min for the rest of burning period. Meanwhile, the measurement of the burning rates and flame heights showed two distinctive behaviors; a growth period from self-sustained ignition to the peak mass loss rate (first 50 seconds after ignition) followed by a steady phase from the peak of mass loss rate until the manual extinguishment. Similarly, the flow field measurements by a 2-dimensional PIV system indicated the existence of two different flow regimes. In the moments before ignition of the fuel, coupling of surface tension and buoyancy forces led to a combined one roll structure in the fuel. This was when a single large vortex was observed in the flow field. After ignition the flow field began transitioning toward an unstable flow regime (separated) with an increase in number of vortices around the ice wall. As the burning rate/flame height increased the velocity and evolving flow patterns enhanced the melting rate of the ice wall. Experimentally determined temperature contours showed that a hot zone with thickness of approximately 3 mm was present below the free surface, corresponding to the multi-roll location. The change in the flow field behavior was found to relate to the melting front velocity of ice. To further study the lateral cavity phenomena, a parametric experimental study on melting of ice adjacent to liquids exposed from above to various heat fluxes was conducted in order to understand the role of liquid properties in formation of cavities in ice. Multiple liquids with wide variety and range of thermophysical properties were used in order to identify the key influential properties on melting. The melting rate of the ice and penetration speed of the liquid in a transparent glass tray (70 mm × 70 mm × 45 mm) with a 20 mm thick ice wall (70 mm × 50 mm × 20 mm) was measured. The melting front velocities obtained from experiments were then compared to surface flow velocities of liquids obtained through a scaling analysis of the surface flow to elucidate the influence of the various thermophysical properties of the liquids on ice melting. The surface velocity of the liquids correlated well to the melting front velocities of the ice which showed a clear relationship between the flow velocity and melting front velocity. As the final step of this work, to extend the findings of the experimental studies conducted herein to larger sizes comparable to realistic situations in the Arctic, an order of magnitude scaling analysis was performed to obtain the extent of ice melting. The scaling considered the heat feedback from the flame to fuel surface, the convective heat transfers toward the ice, and the melting energy continuity of ice. The existing experimental data on the size of lateral cavity were also collected and were correlated to the results of the scaling analysis using a nonlinear regression fitting technique. The mathematical correlation that was obtained by the scaling analysis can be used to predict the size of the lateral cavity for a given fuel, pool fire diameter, and burning time. This correlation will provide a predictive tool to estimate the size of a potential lateral cavity formed during ISB of a given spill scenario. In general, the ability to predict the ice melting caused by burning of spilled oil in ice-infested waters is of great practical importance for assessment of the response outcome. This would assist with quantifying the geometry change of the burning medium which in turn will define oil burning rate and extinction condition. Knowledge of burning behavior and extinction condition indicate the burned volume which can directly be used to define the removal effectiveness of ISB. Nevertheless, this analysis was conducted on a generic interaction of oil and ice and the specific details that are observed in actual application of ISB in ice-infested waters were neglected for simplicity. Extending the outcome of this study to more specific (scenario-based) oil-in-ice situation and improving the predictability of the melting correlation with large-scale experiments are the next steps to develop this work.

La thèse porte sur l'étude de la convection capillaire (effet Marangoni) et son couplage avec la convection thermogravitationnelle. Le travail met en oeuvre des mesures de champ de vitesse par vélocimétrie laser, d'une part, et des simulations numériques de ces expériences, d'autre part. Des solutions asymptotiques sont également utilisées, et la transition de la convection stationnaire vers un état d'oscillations spatiales ou spatio-temporelles a été analysée. Le manuscript aborde également des situations impliquant l'effet de thermodiffusion, ainsi que les mouvements dans une bicouche de fluides immiscibles.

Thesis (doctoral)--Technische Universität, Ilmenau, 2000.

Polymer thin films are ubiquitous in a variety of everyday applications from cookware to packaging. Light can be used to both probe and manipulate the mobility of polymers in thin films. The first project involves the self-diffusion of poly(isobutyl methacrylate) (PiBMA) in thin films using fluorescence recovery after patterned photobleaching (FRAPP). PiBMA is an ideal polymer for this study because it exhibits a film thickness-independent glass transition temperature (Tg) on silicon oxide substrates in film thicknesses down to 14 nm. Since the diffusion coefficient of a polymer depends on the proximity of the experimental temperature to its Tg, nanoconfined diffusion can be measured without superimposed influence from Tg nanoconfinement effects. In this study, self-diffusion of PiBMA parallel to the confining interfaces was found to be film thickness independent to ~30 nm. The reason for the film thickness independence of the Tg of PiBMA is the balance between enhanced mobility at the free interface and hydrogen bonding with the substrate. However, when hydroxyls on the substrate are masked, the Tg of PiBMA decreases with decreasing film thickness. In this case, the diffusion coefficient increases with decreasing film thickness in a way consistent with additional distance from Tg. The second project involves a new approach for creating topographic patterns in thin films via the Marangoni effect, which describes how small variations in surface energy can promote dramatic movement of fluids. Topographic patterns created using this method are potentially useful in a variety of applications, such as the creation of soft lithography stamps. Using a photomask, surface energy gradients can be patterned into solid polymer films. Upon heating the polymer film to a liquid state the Marangoni effect causes the polymer to flow creating three-dimensional topography. This technique was first demonstrated in polystyrene, which undergoes a partial dehydrogenation of the polymer backbone upon photoexposure. However, as exposed and unexposed regions inter-diffuse the topographic features decay. A solution to this problem is to use two orthogonally acting photosensitizers in the polymer film, one for topography creation, and the other for cross-linking which stabilizes the topography at high temperature. / text

Thesis (M.S.)--Oregon State University, 2009. / Printout. Includes bibliographical references (leaves 57-58). Also available on the World Wide Web.

Zugl.: Hamburg, Techn. Univ., Diss., 2007

Universiẗat, Diss., 1999--Freiburg (Breisgau).

Ces travaux de thèse présentent une étude du mécanisme de compatibilisation induit par des nanoparticules d’argile dans les mélanges de polymères en utilisant la rhéologie. Pour cela, de la montmorillonite, la laponite et l’halloysite, modifiées ou non, ont été ajoutées à des mélanges PMMA/PS. Les résultats de rhéologie linéaire en cisaillement ont montré que le mécanisme de compatibilisation, particulièrement le phénomène de coalescence, dépendait beaucoup de la localisation des nanoparticules. La montmorillonite modifiée, présente à l’interface entre les polymères, est la plus efficace à inhiber la coalescence et est aussi efficace qu’un copolymère à bloc de haute masse molaire. Ceci est particulièrement intéressant car les nanoparticules d’argile représentent un coût moindre comparé aux copolymères à bloc. Dans ces travaux, une attention spéciale a été portée aux relaxations présentes dans les mélanges. En utilisant la rhéologie linéaire en cisaillement, un effet Marangoni a été mis en évidence pour la première fois dans le cas de nanoparticules d’argile modifiées présentes à l’interface. Enfin, les mélanges soumis à un flux élongationnel puis relaxation ont montré que la relaxation des gouttes de phase dispersée après une importante déformation était plus rapide par ajout d’argiles dispersées dans la matrice et ralentie par des argiles mieux dispersées soit à l’interface, soit dans l’ensemble du mélange. / In this thesis, the compatibilization mechanism induced by clay nanoparticles in polymer blends was investigated using rheology. To do so, montmorillonite, laponite and halloysite, modified or not, were added to PMMA/PS blends. Linear shear rheology showed that the compatibilization mechanism, especially the coalescence phenomenon, was greatly influenced by the localization of clay nanoparticles. Modified montmorillonite, which was located at the interface, was shown to be the most efficient at inhibiting coalescence among clays and as efficient as a block copolymer with a high molecular mass. The latter is particularly interesting as nanoparticles are cheaper than block copolymers. In this work, special attention was given to relaxations happening in blends. Using linear shear rheology, Marangoni stresses due to a gradient in compatibilizer concentration at the interface was evidenced for the first time in the case of organically modified clay nanoparticles when located at the interface. Finally, submitting blends to elongational flow and subsequent relaxation showed that the relaxation of the droplets after high deformations was faster in the case of clays dispersed in the matrix and slowed down by the interfacial tension in the case of a better dispersion of clays at the interface or in the whole blend.

Drop impacts play a key role in many industrial applications, from spray coating of surfaces, to splashing of fuel-droplets within combustion chambers. Splashing, or break-up during ink-jet printing, can cross-contaminate biological assays, or degrade the quality of ink-jet printed products. Crime scene studies of blood splatter can give vital clues for the police. Spreading of plant diseases between nearby leaves by splashing depends on the velocity and trajectory of secondary droplets. In this dissertation, I study the early dynamics of splashing and the dynamics of ejecta sheets under extreme impact conditions, using ultra-high-speed video imaging at up to 5 million fps. In the first part, I show the effect of the surface tension differences on the break-up of the Edgerton crown, I verify that individual droplets hit the crown wall and generated Marangoni holes, thereby causing the crown wall to rupture at multiple locations. In the second part, I investigate the splashing of a drop impacting onto a solid substrate with high impact velocity, I show that for sufficiently high Re, splashing can no longer be suppressed by only reducing the surrounding air pressure. Furthermore, I tracked the earliest splashed spray droplets to catch their maximum velocity. Surprisingly, the splashed droplets can travel at extremely high speed of up to 1 km/s, which is 50 times faster than the impact speed. The influence of viscosity on the lamellar spreading along the substrate was investigated. I find that the intact lamella, following the fine spray, spreads as R(t) ~〖 t〗^(1/3) , while the maximum spreading radius of the drop was shown to be a strong function of viscosity, scaling as β_max∝〖Re〗^0.175. The data did not show a strong effect of surface tension on β_max over a wide range. Therefore, I concluded that surface tension at this parameter space does not play a major role in both splashing nor spreading. In the third part, I study extreme splashing dynamics of the Ejecta sheet when a drop impacts on a thin liquid film with very large impact velocities using the same device, at up to ~ 22 m/s. For this purpose, we have constructed a novel experimental device consisting of a 26-m-tall vacuum tube. I investigate the interplay between viscosity, the surrounding ambient air pressure, and surface tension, on the ejecta shapes and break-up. I show how the bending of the ejecta sheet is primarily produced by air-resistance. This is supported by an analytical and numerical model to quantify the effect of the surrounding air pressure on the sheet bending and touch-down.