Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2900
Title: Vortex dynamics in domains whith boundaries
Authors: Tülü, Serdar
Advisors: Yılmaz, Oğuz
Publisher: Izmir Institute of Technology
Abstract: In this thesis we consider the following problems: 1) The problem of fluid advection excited by point vortices in the presence of stationary cylinders (we also add a uniform flow to the systems). 2) The problem of motion of one vortex (or vortices) around cylinder(s). We also investigate integrable and chaotic cases of motion of two vortices around an oscillating cylinder in the presence of a uniform flow. In the fluid advection problems Milne-Thomson's Circle theorem and an analyticalnumerical solution in the form of an infinite power series are used to determine flow fields and the forces on the cylinder(s) are calculated by the Blasius theorem. In the "two vortices-one cylinder" case we generalize the problem by adding independent circulation k0 around the cylinder itself. We then write the conditions for force to be zero on the cylinder. The Hamiltonian for motion of two vortices in the case with no uniform flow and stationary cylinder is constructed and reduced. Also constant Hamiltonian (energy) curves are plotted when the system is shown to be integrable according to Liouville's definition. By adding uniform flow to the system and by allowing the cylinder to vibrate, we model the natural vibration of the cylinder in the flow field, which has applications in ocean engineering involving tethers or pipelines in a flow field. We conclude that in the chaotic case, forces on the cylinder may be considerably larger than those on the integrable case depending on the initial positions of the vortices, and that complex phenomena such as chaotic capture and escape occur when the initial positions lie in a certain region.
Description: Thesis (Doctoral)--Izmir Institute of Technology, Mathematics, Izmir, 2011
Includes bibliographical references (leaves: 70-72)
Text in English; Abstract: Turkish and English
x, 72 leaves
URI: http://hdl.handle.net/11147/2900
Appears in Collections:Phd Degree / Doktora

Files in This Item:
File Description SizeFormat 
T000958.pdfDoctoralThesis1.61 MBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

Page view(s)

108
checked on Mar 25, 2024

Download(s)

52
checked on Mar 25, 2024

Google ScholarTM

Check





Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.