Analytic theory for the selection of a two-dimensional needle crystal at arbitrary Péclet number

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dc.contributorVirginia Techen
dc.contributor.authorTanveer, S.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-04-22en
dc.date.accessioned2014-04-25T14:12:38Zen
dc.date.available2014-04-25T14:12:38Zen
dc.date.issued1989-10en
dc.description.abstractAn accurate analytic theory is presented for the velocity selection of a two-dimensional needle crystal for arbitrary Péclet number for small values of the surface-tension parameter. The velocity selection is caused by the effect of transcendentally small terms that are determined by analytic continuation to the complex plane and analysis of nonlinear equations. The work supports the general conclusion of previous small-Péclet-number analytical results of other investigators, although there are some discrepancies in details. It also addresses questions raised by a recent investigator on the validity of selection theory owing to assumptions made on shape corrections at large distances from the tip.en
dc.description.sponsorshipNSF DMS-8713246en
dc.description.sponsorshipNASA NAS1-18605en
dc.identifier.citationTanveer, S., "Analytic theory for the selection of a two-dimensional needle crystal at arbitrary Péclet number," Phys. Rev. A 40, 4756 (1989); DOI: http://dx.doi.org/10.1103/PhysRevA.40.4756en
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.40.4756en
dc.identifier.issn1050-2947en
dc.identifier.urihttp://hdl.handle.net/10919/47702en
dc.identifier.urlhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.40.4756en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleAnalytic theory for the selection of a two-dimensional needle crystal at arbitrary Péclet numberen
dc.title.serialPhysical Review Aen
dc.typeArticle - Refereeden

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