A fully implicit method for diffusion-controlled solidification of binary alloys

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dc.contributor.author Charn-Jung Kim, en_US
dc.contributor.author Kaviany, Massoud en_US
dc.date.accessioned 2006-04-10T15:15:20Z
dc.date.available 2006-04-10T15:15:20Z
dc.date.issued 1992-05 en_US
dc.identifier.citation Charn-Jung Kim, , Kaviany, Massoud (1992/05)."A fully implicit method for diffusion-controlled solidification of binary alloys." International Journal of Heat and Mass Transfer 35(5): 1143-1154. <http://hdl.handle.net/2027.42/30094> en_US
dc.identifier.uri http://www.sciencedirect.com/science/article/B6V3H-4829H8G-GJ/2/ad4a858071465209eb48895a47088978 en_US
dc.identifier.uri http://hdl.handle.net/2027.42/30094
dc.description.abstract A recently developed numerical method for single-component phase-change problems is extended to treat some existing multi-domain models for diffusion-controlled solidification of binary alloys. The multi-domain models invoke a special difficulty associated with the unknown interface location and phase-transition temperature. Such a difficulty is efficiently resolved here by defining corrections similar to those used in single-phase convection problems. The field equations and the interfacial conditions are treated fully implicitly through the correction equations that are developed from the conservation of the interfacial fluxes. In addition, when a high disparity occurs between thermal and solutal mass diffusivities, renormalization of the length scales is suggested to improve spatial resolution of both the temperature and concentration fields. As a verification, several diffusion models that allow for analytical solutions are considered. Numerical solutions agree well with the available analytical solutions. The widely used assumption of a constant latent heat is found to be thermodynamically inconsistent under certain conditions and is clarified and corrected. A unique iteration procedure suggested in this study proves to be remarkably efficient and leads to fast convergence. en_US
dc.format.extent 1318139 bytes
dc.format.extent 3118 bytes
dc.format.mimetype application/pdf
dc.format.mimetype text/plain
dc.language.iso en_US
dc.publisher Elsevier en_US
dc.title A fully implicit method for diffusion-controlled solidification of binary alloys en_US
dc.rights.robots IndexNoFollow en_US
dc.subject.hlbsecondlevel Physics en_US
dc.subject.hlbtoplevel Science en_US
dc.description.peerreviewed Peer Reviewed en_US
dc.contributor.affiliationum Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A. en_US
dc.contributor.affiliationum Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A. en_US
dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/30094/1/0000466.pdf en_US
dc.identifier.doi http://dx.doi.org/10.1016/0017-9310(92)90175-R en_US
dc.identifier.source International Journal of Heat and Mass Transfer en_US
dc.owningcollname Interdisciplinary and Peer-Reviewed
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