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dc.contributorVirginia Tech. Department of Mechanical Engineeringen_US
dc.contributorNorth Carolina State University. Mechanical and Aerospace Engineering Departmenten_US
dc.contributor.authorFrankel, J. I.en_US
dc.contributor.authorVick, Brianen_US
dc.contributor.authorOzisik, M. Necatien_US
dc.date.accessioned2015-05-26T22:32:23Z
dc.date.available2015-05-26T22:32:23Z
dc.date.issued1985
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: 10.1063/1.335795
dc.identifier.issn0021-8979
dc.identifier.urihttp://hdl.handle.net/10919/52616
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.
dc.format.extent7 pages
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_US
dc.publisherAmerican Institute of Physics
dc.subjectHeat conductionen_US
dc.subjectGreen's function methodsen_US
dc.subjectVector calculusen_US
dc.titleFlux formulation of hyperbolic heat conductionen_US
dc.typeArticleen_US
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/58/9/10.1063/1.335795
dc.date.accessed2015-04-24
dc.title.serialJournal of Applied Physics
dc.identifier.doihttps://doi.org/10.1063/1.335795
dc.type.dcmitypeTexten_US


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