Mostra el registre d'ítem simple
A one-phase Stefan problem with size-dependent thermal conductivity
dc.contributor.author | Font Martínez, Francesc |
dc.date.accessioned | 2018-10-03T14:47:53Z |
dc.date.available | 2020-07-02T00:26:39Z |
dc.date.issued | 2018-07-02 |
dc.identifier.citation | Font, F. A one-phase Stefan problem with size-dependent thermal conductivity. "Applied mathematical modelling", 2 Juliol 2018, vol. 63, p. 172-178. |
dc.identifier.issn | 0307-904X |
dc.identifier.other | https://arxiv.org/abs/1801.02558 |
dc.identifier.uri | http://hdl.handle.net/2117/121864 |
dc.description.abstract | In this paper a one-phase Stefan problem with size-dependent thermal conductivity is analysed. Approximate solutions to the problem are found via perturbation and numerical methods, and compared to the Neumann solution for the equivalent Stefan problem with constant conductivity. We find that the size-dependant thermal conductivity, relevant in the context of solidification at the nanoscale, slows down the solidification process. A small time asymptotic analysis reveals that the position of the solidification front in this regime behaves linearly with time, in contrast to the Neumann solution characterized by a square root of time proportionality. This has an important physical consequence, namely the speed of the front predicted by size-dependant conductivity model is finite while the Neumann solution predicts an infinite and, thus, unrealistic speed as t¿¿¿0. |
dc.format.extent | 7 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Mathematical physics |
dc.subject.lcsh | Heat -- Transmission |
dc.subject.other | Heat transfer |
dc.subject.other | solidification |
dc.subject.other | Stefan problem |
dc.subject.other | size-dependent thermal conductivity |
dc.title | A one-phase Stefan problem with size-dependent thermal conductivity |
dc.type | Article |
dc.subject.lemac | Física matemàtica |
dc.subject.lemac | Calor -- Transmissió |
dc.identifier.doi | 10.1016/j.apm.2018.06.052 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0307904X18303056 |
dc.rights.access | Open Access |
local.identifier.drac | 23238575 |
dc.description.version | Postprint (published version) |
local.citation.author | Font, F. |
local.citation.publicationName | Applied mathematical modelling |
local.citation.volume | 63 |
local.citation.startingPage | 172 |
local.citation.endingPage | 178 |