Flux formulation of hyperbolic heat conduction

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dc.contributor.authorFrankel, Jay Irwinen
dc.contributor.authorVick, Brian L.en
dc.contributor.authorOzisik, M. Necatien
dc.contributor.departmentMechanical Engineeringen
dc.date.accessed2015-04-24en
dc.date.accessioned2015-05-26T22:32:23Zen
dc.date.available2015-05-26T22:32:23Zen
dc.date.issued1985en
dc.description.abstractThe development of the general flux formulation for heat conduction based on the modified Fourier's law is presented. This new formulation produces a hyperbolic vector equation in heat flux which is more convenient to use for analysis in situations involving specified flux conditions than the standard temperature formulation. The recovery of the temperature distribution is obtained through integration of the energy conservation law with respect to time. The Green's function approach is utilized to develop a general solution for hyperbolic heat conduction in a finite medium. The utility of the flux formulation and the unusual nature of heat conduction based on the hyperbolic formulation are demonstrated by developing analytical expressions for the heat flux and temperature distributions in a finite slab exposed to a pulsed surface heat flux.en
dc.format.extent7 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFrankel, J. I., Vick, B., & Ozisik, M. N. (1985). Flux formulation of hyperbolic heat conduction. Journal of Applied Physics, 58(9), 3340-3345. doi: 10.1063/1.335795en
dc.identifier.doihttps://doi.org/10.1063/1.335795en
dc.identifier.issn0021-8979en
dc.identifier.urihttp://hdl.handle.net/10919/52616en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/58/9/10.1063/1.335795en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectHeat conductionen
dc.subjectGreen's function methodsen
dc.subjectVector calculusen
dc.titleFlux formulation of hyperbolic heat conductionen
dc.title.serialJournal of Applied Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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