{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21917"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21917","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Melt flow in a Czochralski crystal puller with a transverse magnetic field","abstract":"One may infer from experimental results that application of a transverse magnetic field to a Czochralski crystal puller improves the quality of the resulting crystals. The melt flow is difficult to model; it is nonlinear and three-dimensional with additional complexity generated by the magnetic field. Two methods are shown by which the problem is reduced: a small field limit and a large field limit. Results are obtained for these cases by a mixture of analytic and numerical methods.","abstract_html":"One may infer from experimental results that application of a transverse magnetic field to a Czochralski crystal puller improves the quality of the resulting crystals. The melt flow is difficult to model; it is nonlinear and three-dimensional with additional complexity generated by the magnetic field. Two methods are shown by which the problem is reduced: a small field limit and a large field limit. 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The melt flow is difficult to model; it is nonlinear and three-dimensional with additional complexity generated by the magnetic field. Two methods are shown by which the problem is reduced: a small field limit and a large field limit. Results are obtained for these cases by a mixture of analytic and numerical methods.","Made available in DSpace on 2011-05-07T13:23:08Z (GMT). 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