dc.contributor.advisor Yılmaz, Oğuz en dc.contributor.author Çağatay, Filiz en dc.date.accessioned 2014-07-22T13:52:28Z dc.date.available 2014-07-22T13:52:28Z dc.date.issued 2007 en dc.identifier.uri http://hdl.handle.net/11147/3834 dc.description Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007 en dc.description Includes bibliographical references (leaves: 51-52) en dc.description Text in English; Abstract: Turkish and English en dc.description x, 64 leaves en dc.description.abstract The interaction of water waves with arrays of vertical cylinders problem is studied using diffraction of water waves and addition theorem for bessel functions. The linear boundary value problem which is derived from physical assumptions is used as the approximate mathematical model for time-harmonic waves. Linearization procedure is described for the nonlinear boundary conditions on the free surface. The problem is solved by using Addition theorem for Bessel functions. Limiting case, k 0, known as long wave approximation, is analysed using limiting forms of Bessel functions. Vortex-cylinder interaction is analyzed using a similar technique involving Laurent series expansions of complex velocity and the Circle Theorem. But this method failed to work. Further analysis is necessary. Vortex dynamics is analysed in annular domains, which can conformally be mapped into infinite domain with two cylinders, using the terminology of q-calculus. Finally, the result of vortex-cylinder interaction in annular domain is transformed into the infinite domain with two cylinders using conformal mapping. Image representation clearly shows the mechanism of inverse images which accumulate at zero and infinity in the w-plane and a and 1/a in the z-plane. en dc.language.iso eng en dc.publisher Izmir Institute of Technology en dc.rights info:eu-repo/semantics/openAccess en_US dc.subject.lcc QA927. C13 2007 en dc.subject.lcsh Hydrodynamics en dc.subject.lcsh Water waves en dc.subject.lcsh Wave equation en dc.subject.lcsh Cylinders--Hydrodynamics en dc.subject.lcsh Bessel functions en dc.title Hydrodynamic interaction in rotational flow en dc.type masterThesis en dc.contributor.authorID TR58817 dc.contributor.department Izmir Institute of Technology. Mathematics en dc.relation.publicationcategory Tez en_US
﻿