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Recent work by a number of researchers has highlighted areas in which conservative numerical methods give poor solutions. One such situation is in the modelling of material interfaces. A number of methods for overcoming this shortfall of conservative numerical methods are developed. The flow situations that are considered include multicomponent gases and systems of gases and liquids. It is shown that the errors associated with conservative methods when applied to model gas-liquid interfaces are considerably larger than those for gas-gas interfaces. The first approach used for overcoming the errors in conservative methods is a hybrid primitive-conservative method. This method is used in conjunction with a number of new Riemann solvers for a liquid ambient to provide accurate solutions to a number of challenging one and two dimensional test problems. These test problems include the interaction of a shock wave with a bubble in a gas and an underwater explo.; ion. The application of these hybrid methods to the problem of the interaction of a shock wave with a gas bubble in aa liquid demonstrate that they are unable to provide an accurate solution. Two one dimensional methods are described that are able to provide solutions to such test problems. These methods are the moving grid-Chimera approach and a cut cell approach. The cut cell approach is extended into two dimensions and is shown to be able to provide solutions to the problem of the interaction of a shock wave with a gas bubble in a liquid. This method is also shown to be able to provide more accurate solutions to multicomponent gas problems than those on a standard Cartesian grid.

Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 167-174).

Thesis (Ph. D.)--University of Washington, 2007. / Vita. Includes bibliographical references (p. 111-121).

Thesis (Ph. D.)--West Virginia University, 2005. / Title from document title page. Document formatted into pages; contains xxiv, 371 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 343-367).

Thesis (M. Sc.)--University of Canterbury, 2007. / Typescript (photocopy). Includes bibliographical references (leaves 76-78). Also available via the World Wide Web.

Nous présentons plusieurs expériences d'hydrodynamique interfaciale illustrant des procédés de création, stabilité et rupture d'interfaces fluides, liquide/liquide ou liquide/gaz. Dans un premier temps, nous étudions le processus de fragmentation d'objets déformables, gouttes et bulles, par un obstacle rectangulaire ou une boucle asymétrique placés dans un canal microfluidique. La deuxième partie de ce travail se consacre à des expériences menées avec des bulles et films liquides minces formés à l'aide d'eau savonneuse ou de liquides très visqueux. Après avoir revisité quelques surfaces minimales adoptées par un film de savon à l'équilibre, nous étudions divers mécanismes de formation de bulles et de bulles interfaciales. Dans ces deux parties, nos études sont menées en faisant varier de façon systématique les paramètres hydrodynamiques, physicochimiques et géométriques contrôlant chaque expérience. Nous interprétons les résultats obtenus en microfluidique à l'aide d'arguments simples basés notamment sur l'analogie électro-hydraulique aux bas nombres de Reynolds, tandis que l'analyse dimensionnelle et des lois d'échelle permettent de décrire la plupart des comportements expérimentaux des bulles et films liquides minces. / We report hydrodynamic experiments illustrating the creation, stability and rupture of either liquid/liquid or liquid/gas interfaces. First, we investigate the fragmentation of deformable objects, such as drops and bubbles, against a rectangular obstacle or at the entry node of an asymmetric loop placed in a microfluidic channel. In the second part of this work, we report experiments conducted with bubbles and thin-liquid films either made with soapy water or highly viscous fluids. After having described a few minimal surfaces sought by a soap film at equilibrium, we study a variety of mechanisms that yield the formation of bubbles and interfacial bubbles. In both parts, our investigations are conducted by systematically varying the parameters (hydrodynamic, physicochemical and geometric) controlling each experiment. We interpret microfluidic results with simple physical arguments based on the electro-hydraulic analogy at low Reynolds numbers. Experimental findings on bubbles are rationalized mostly using dimensional analysis and scaling laws.

Thesis (Ph. D.)--University of Oregon, 2007. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 146-156). Also available for download via the World Wide Web; free to University of Oregon users.

Thesis (Ph. D.)--University of Missouri-Columbia, 2007. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on February 29, 2008) Vita. Includes bibliographical references.

Thèse (M.Eng.) -- Université du Québec à Chicoutimi, 2007. / La p. de t. porte en outre: Mémoire présenté à l'Université du Québec à Chicoutimi comme exigence partielle de la maîtrise en ingénierie. CaQCU Bibliogr.: f. 184-186. Document électronique également accessible en format PDF. CaQCU