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dc.contributor.authorGottlieb, Hans
dc.date.accessioned2017-05-03T11:08:00Z
dc.date.available2017-05-03T11:08:00Z
dc.date.issued2002
dc.identifier.issn08939659
dc.identifier.doi10.1016/S0893-9659(01)00113-6
dc.identifier.urihttp://hdl.handle.net/10072/7023
dc.description.abstractThe exact solution is found for the Stefan problem of inwards freezing of a nonhomogeneous cylinder whose specific heat and latent heat depend upon the inverse square of the radial distance. The freezing time for the corresponding annular cylinder is found exactly. The validity of the pseudo-steady-state approximation for the solvable cylinder problem is verified explicitly. It is argued that the exact solution for the solvable cylinder problem may be used as a small-time start-up solution for numerical procedures for general axi-symmetric cylinder problems and for general Stefan numbers.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent47303 bytes
dc.format.extent19567 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.languageEnglish
dc.language.isoeng
dc.publisherPergamon-Elsevier
dc.publisher.placeOxford, England
dc.relation.ispartofpagefrom167
dc.relation.ispartofpageto172
dc.relation.ispartofedition2002
dc.relation.ispartofissue2
dc.relation.ispartofjournalApplied Mathematics Letters
dc.relation.ispartofvolume15
dc.subject.fieldofresearchPure Mathematics
dc.subject.fieldofresearchApplied Mathematics
dc.subject.fieldofresearchcode0101
dc.subject.fieldofresearchcode0102
dc.titleExact Solution of a Stefan Problem in a Nonhomogeneous Cylinder.
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2002 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2015-02-12T00:44:06Z
gro.hasfulltextFull Text
gro.griffith.authorGottlieb, Hans P.


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