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dc.contributor.authorGerges, Najib N.en_US
dc.contributor.authorOmran, Mazen Nazemen_US
dc.contributor.authorSinder, Arthur Daviden_US
dc.description.abstractThe Czochralski crystal growth manufacturing process results in small periodic and undesirable undulations in the crystal diameter under certain conditions. These oscillations have strongly nonlinear characteristics. There appear to be critical values for certain parameters, such as the rotational velocity, which govern the appearance or non-appearance of these undulations. This paper uses perturbation theory to facilitate analyzing and explaining the fluctuations occurring in the Czochralski process by deriving analytical solution to the rotational velocity equation. The fluctuations were analyzed by the perturbation theory, applied to the non-linear governing equations. A rigorous analytic solution of the equations for the linearized rotational fluid velocity was performed, using mode-matching.en_US
dc.format.extent15 p.en_US
dc.subjectCrystal growthen_US
dc.subjectAnalytical solutionen_US
dc.subjectPerturbation theoryen_US
dc.subjectCzochralski crystal growthen_US
dc.titleAnalytical Solution of the Angular Velocity in the Czochralski Crystal Growth Processen_US
dc.typeJournal Articleen_US
dc.contributor.affiliationDepartment of Civil and Environmental Engineeringen_US
dc.relation.ispartoftextNED university journal of researchen_US
dc.provenance.recordsourceOliben_US of Engineering-
Appears in Collections:Department of Civil and Environmental Engineering
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