Prediction of the temperature-time history in ordinary bodies induced by surface heat flux utilizing the enhanced method of discretization in time and the finite difference method

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dc.contributor.authorCampo, Antonio
dc.contributor.authorCelentano, Diego
dc.contributor.authorMasip, Yunesky
dc.date.accessioned2025-01-20T20:19:06Z
dc.date.available2025-01-20T20:19:06Z
dc.date.issued2023
dc.description.abstractPurposeThe purpose of this paper is to address unsteady heat conduction in two subsets of ordinary bodies. One subset consists of a large plane wall, a long cylinder and a sphere in one dimension. The other subset consists of a short cylinder and a large rectangular bar in two dimensions. The prevalent assumptions in the two subsets are: constant initial temperature, uniform surface heat flux and thermo-physical properties invariant with temperature. The engineering applications of the unsteady heat conduction deal with the determination of temperature-time histories in the two subsets using electric resistance heating, radiative heating and fire pool heating. Design/methodology/approachTo this end, a novel numerical procedure named the enhanced method of discretization in time (EMDT) transforms the linear one-dimensional unsteady, heat conduction equations with non-homogeneous boundary conditions into equivalent nonlinear "quasi-steady" heat conduction equations having the time variable embedded as a time parameter. The equivalent nonlinear "quasi-steady" heat conduction equations are solved with a finite difference method. FindingsBased on the numerical computations, it is demonstrated that the approximate temperature-time histories in the simple subset of ordinary bodies (large plane wall, long cylinder and sphere) exhibit a perfect matching over the entire time domain 0 < t < infinity when compared against the rigorous exact temperature-time histories expressed by classical infinite series. Furthermore, using the method of superposition of solutions in the convoluted subset (short cylinder and large rectangular crossbar), the same level of agreement in the approximate temperature-time histories in the simple subset of ordinary bodies is evident. Originality/valueThe performance of the proposed EMDT coupled with a finite difference method is exhaustively assessed in the solution of the unsteady, one-dimensional heat conduction equations with prescribed surface heat flux for: a subset of one-dimensional bodies (plane wall, long cylinder and spheres) and a subset of two-dimensional bodies (short cylinder and large rectangular bar).
dc.description.funderChilean Council for Research and Development ANID through Millennium Institute on Green Ammonia as Energy Vector MIGA
dc.fuente.origenWOS
dc.identifier.doi10.1108/HFF-09-2022-0538
dc.identifier.eissn1758-6585
dc.identifier.issn0961-5539
dc.identifier.urihttps://doi.org/10.1108/HFF-09-2022-0538
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92503
dc.identifier.wosidWOS:000915841100001
dc.issue.numero6
dc.language.isoen
dc.pagina.final2001
dc.pagina.inicio1981
dc.revistaInternational journal of numerical methods for heat & fluid flow
dc.rightsacceso restringido
dc.subjectFinite difference method
dc.subjectEnhanced method of discretization in time (EMDT)
dc.subjectTwo subsets of ordinary bodies
dc.subjectUnsteady heat conduction equations
dc.subjectEquivalent "quasi-steady" heat conduction equations
dc.subjectDetermination of approximate surface center and mean temperature-time histories
dc.titlePrediction of the temperature-time history in ordinary bodies induced by surface heat flux utilizing the enhanced method of discretization in time and the finite difference method
dc.typeartículo
dc.volumen33
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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