This thesis presents two different efforts in the study of fluid flows with surfactants. The first one is computational: a numerical method for the fully coupled problem of incompressible flow with soluble surfactant. The accurate numerical solution of this problem is highly challenging, and therefore high-end numerical techniques have been used. The approach is based on adaptive Quad/Octree cartesian grids, while the irregular fluid interface is represented implicitly via a level-set formulation. The method is also tested against several benchmarks. The second effort is experimental: the observation of maze-solving behavior by surfactants, which highlights the importance of geometry in Marangoni free-surface flows. This phenomenon is unexpected due to the selective spreading of the surfactant, which eludes incursions in dead-end channels. We postulate a plausible mechanism for the observed behavior, based on the interplay between the added and the endogenous surfactants at the interface.
|Advisor:||Luzzatto-Fegiz, Paolo, Gibou, Frédéric|
|School:||University of California, Santa Barbara|
|School Location:||United States -- California|
|Source:||MAI 58/04M(E), Masters Abstracts International|
|Subjects:||Applied Mathematics, Mechanical engineering|
|Keywords:||Level-set, Marangoni flows, Maze, Quad/Oc-tree, Surface tension effects, Surfactants|
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