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dc.contributor.advisorYılmaz, Oğuzen
dc.contributor.authorIsıdıcı, Damlaen
dc.date.accessioned2014-07-22T13:51:00Z
dc.date.available2014-07-22T13:51:00Z
dc.date.issued2011en
dc.identifier.urihttp://hdl.handle.net/11147/3165
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2011en
dc.descriptionIncludes bibliographical references (leaves: 47)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionix, 59 leavesen
dc.description.abstractDuring the initial stage of dam breaking; the liquid flow and the free surface shape are investigated. We used small-time approximation for this investigation and derived the leading order solution of classical dam-break problem. But this solution is not valid in a small vicinity of the corner point (the intersection point between the initially vertical free surface and the horizontal rigid bottom). The dimension of this vicinity is estimated with the help of a local analysis of the this outer solution close to the corner point. Streched local coordinates are used in this vicinity to resolve the flow singularity and to derive the leading order inner solution (which describes the formation of the jet flow along the bottom) and the correction to the leading order. This asymptotic solution obtained is expected to be helpful in the analysis of developed gravity driven flows.en
dc.language.isoengen
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lcshFluid dynamics--Mathematical modelsen
dc.subject.lcshOpen-channel flowen
dc.subject.lcshAsymptotic expansionsen
dc.subject.lcshDam failuresen
dc.titleThe initial stages of gravity driven flowsen
dc.typemasterThesisen
dc.contributor.authorIDTR113978en
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen


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