2026-09-21T02:26:25Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/83818 2023-07-11 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

Georgiadis, John G. Raguin, Minh Lan Guy 2015-09-25T21:12:18Z 2015-09-25T21:12:18Z 10000-01-01 2004 2004 The Stationary Helical Vortex (SHV) mode in the Taylor-Couette-Poiseuille system is used as a base flow to investigate how parametric excitation can lead to chaotic segregation. The first part of this project focuses on how the three-dimensional velocity field in SHV is reconstructed for the first time from coarse Magnetic Resonance Imaging (MRI) data. A novel reconstruction approach is introduced to process the point-wise MRI velocity measurements such that fluid mechanical constraints are strictly enforced, rather than performing simple interpolation. In addition to the fact that extra accuracy is achieved, this approach ushers in a new class of efficient MRI velocimetry techniques. The second part focuses on two methods of perturbing the SHV mode (using time-periodic Hamiltonian and steady non-Hamiltonian perturbations), and the description of the associated dynamical systems in phase space. The kinematically admissible SHV velocity field is used in the numerical simulation of the transport of passive solid particles introduced in the perturbed SHV flow. The study of the parametrically excited dynamical system and of the particle buoyancy effects combined with the dissipation due to viscous drag allows the elucidation of chaotic segregation patterns in this physically realizable three-dimensional system. Made available in DSpace on 2015-09-25T21:12:18Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3153406.pdf: 16529352 bytes, checksum: f54a5abad6d3bae73feda08b2c2360b8 (MD5) Previous issue date: 2004 Embargo set by: Seth Robbins for item 85099 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 179 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004. http://hdl.handle.net/2142/83818 (MiAaPQ)AAI3153406 eng Engineering, Mechanical Theoretical and Experimental Study of a Continuous Hydrodynamically-Enhanced Separation System Paradigm text Dissertation Ph.D. Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign