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dc.contributor.advisorYılmaz, Oğuzen
dc.contributor.authorÇağatay, Filizen
dc.date.accessioned2014-07-22T13:52:28Z
dc.date.available2014-07-22T13:52:28Z
dc.date.issued2007en
dc.identifier.urihttp://hdl.handle.net/11147/3834
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007en
dc.descriptionIncludes bibliographical references (leaves: 51-52)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionx, 64 leavesen
dc.description.abstractThe 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.isoengen
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA927. C13 2007en
dc.subject.lcshHydrodynamicsen
dc.subject.lcshWater wavesen
dc.subject.lcshWave equationen
dc.subject.lcshCylinders--Hydrodynamicsen
dc.subject.lcshBessel functionsen
dc.titleHydrodynamic interaction in rotational flowen
dc.typemasterThesisen
dc.contributor.authorIDTR58817
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US


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