Semianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flows

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dc.authorid0000-0002-4577-9201
dc.authorid0000-0003-3151-5309
dc.contributor.authorDelale, Can Fuaten_US
dc.contributor.authorPasinlioğlu, Şenayen_US
dc.contributor.authorBaşkaya, Zaferen_US
dc.contributor.authorSchnerr, Günter H.en_US
dc.date.accessioned2015-01-15T23:02:51Z
dc.date.available2015-01-15T23:02:51Z
dc.date.issued2014-06
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Makine Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Mechanical Engineeringen_US
dc.description.abstractUnsteady quasi-one-dimensional bubbly cavitating nozzle flows are considered by employing a homogeneous bubbly liquid flow model, where the nonlinear dynamics of cavitating bubbles is described by a modified Rayleigh-Plesset equation. The model equations are uncoupled by scale separation leading to two evolution equations, one for the flow speed and the other for the bubble radius. The initial-boundary value problem of the evolution equations is then formulated and a semianalytical solution is constructed. The solution for the mixture pressure, the mixture density, and the void fraction are then explicitly related to the solution of the evolution equations. In particular, a relation independent of flow dimensionality is established between the mixture pressure, the void fraction, and the flow dilation for unsteady bubbly cavitating flows in the model considered. The steady-state compressible and incompressible limits of the solution are also discussed. The solution algorithm is first validated against the numerical solution of Preston et al. [Phys Fluids 14:300-311, 2002] for an essentially quasi-one-dimensional nozzle. Results obtained for a two-dimensional nozzle seem to be in good agreement with the mean pressure measurements at the nozzle wall for attached cavitation sheets despite the observed two-dimensional cavitation structures.en_US
dc.description.sponsorshipThis work was supported in part by TUBITAK under Project 105M035 and in part by Deutsche Forschungs Gemeinschaft (DFG) under Contract SCHN 352/24-1en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDelale, C. F., Pasinlioğlu, Ş., Başkaya, Z. & Schnerr, G. H. (2014). Semianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flows. Journal of Engineering Mathematics, 86(1), 49-70. doi:10.1007/s10665-013-9645-6en_US
dc.identifier.doi10.1007/s10665-013-9645-6
dc.identifier.endpage70
dc.identifier.issn0022-0833
dc.identifier.issn1573-2703
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84899993270
dc.identifier.scopusqualityQ2
dc.identifier.startpage49
dc.identifier.urihttps://hdl.handle.net/11729/534
dc.identifier.urihttp://dx.doi.org/10.1007/s10665-013-9645-6
dc.identifier.volume86
dc.identifier.wosWOS:000335556100004
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDelale, Can Fuaten_US
dc.institutionauthorid0000-0002-4577-9201
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEvolution equationsen_US
dc.subjectNonlinear bubble dynamicsen_US
dc.subjectQuasi-one-dimensional nozzle flowsen_US
dc.subjectUnsteady cavitating flowsen_US
dc.subjectConverging-diverging nozzleen_US
dc.subjectGas-bubblesen_US
dc.subjectShock-wavesen_US
dc.subjectRelative motionen_US
dc.subjectLiquiden_US
dc.subjectDynamicsen_US
dc.subjectEquationsen_US
dc.subjectMixturesen_US
dc.subjectFissionen_US
dc.titleSemianalytical solution of unsteady quasi-one-dimensional cavitating nozzle flowsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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