Three-Dimensional DLM/FD Methods for Simulating the Motion of Spheres in Bounded Shear Flows of Oldroyd-B Fluids

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dc.contributor.advisorPan, Tsorng-Whay
dc.contributor.committeeMemberGlowinski, Roland
dc.contributor.committeeMemberHe, Jiwen
dc.contributor.committeeMemberLiu, Dong
dc.creatorChiu, Shang Huan 1983-
dc.creator.orcid0000-0003-0534-4286
dc.date.accessioned2019-09-18T01:17:46Z
dc.date.available2019-09-18T01:17:46Z
dc.date.createdAugust 2017
dc.date.issued2017-08
dc.date.submittedAugust 2017
dc.date.updated2019-09-18T01:17:47Z
dc.description.abstractIn this dissertation, we present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Newtonian and Oldroyd-B fluids under creeping conditions. The categories go as follows: terminal speed of single ball in Newtonian fluid, rotating speed of single ball for the Weissenberg number up to 5.5, trajectories migration and two ball encounters in a three dimensional (3D) bounded shear flow for the Weissenberg number up to 1. For rotating speed, two different methodologies have been considered and the results are consistent with the exponential results for the Weissenberg number up to 1. For trajectories migration, the ball in Oldroyd-B fluid migrates toward the moving wall and it moves faster under higher value of the Weissenberg number. For two ball encounters, the pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid, but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A chain of two balls can be formed in a bounded shear flow driven by the upper wall, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls, and then such chain tumbles and migrates.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/10657/4792
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectOldroyd-B fluids
dc.subjectBinary encounter
dc.titleThree-Dimensional DLM/FD Methods for Simulating the Motion of Spheres in Bounded Shear Flows of Oldroyd-B Fluids
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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