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dc.contributor.author | Lizama, C. | es_ES |
dc.contributor.author | Trujillo Guillen, Macarena | es_ES |
dc.date.accessioned | 2021-11-05T14:12:28Z | |
dc.date.available | 2021-11-05T14:12:28Z | |
dc.date.issued | 2020-06 | es_ES |
dc.identifier.issn | 0017-9310 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/176506 | |
dc.description.abstract | [EN] In this study we assessed the use of the fractional derivative formulation of the heat transmission equation (FDHTE) as an alternative to the classical or parabolic heat transfer equation (PHTE) in the mathematical modeling of some thermal therapy processes. We obtained the FDHTE analytical solutions in two cases: a general case of heat transfer in a finite bar with different and constant temperature in its extremes (without heat source), and the heating by a laser source of a semi-infinite medium which includes a heat source and it was considered in thermal therapies to destroy or alter biological tissue. Both solutions were obtained analytically and compared with the PHTE results. We also compared the FDHTE solution with the results of the hyperbolic heat transfer equation (HHTE), which is another alternative to the PHTE, but is only used for problems in which intense heat is applied to materials for very short times. The results show that the FDHTE can be used as an alternative to the PHTE in thermal therapy processes in which the PHTE theoretical models underestimate or overestimate the temperatures achieved in tissue. Unlike the HHTE, the FDHTE is not restricted to special problems only. We have thus laid the groundwork for the analytical resolution of the problems considered by the FDHTE. | es_ES |
dc.description.sponsorship | C. Lizama is partially supported by FONDECYT grant number 1180041 and DICYT - Universidad de Santiago de Chile, USACH. M. Trujillo is supported by the Spanish Ministerio de Ciencia, Innovacion y Universidades under "Programa Estatal de Investigacion, Desarrollo e Innovacion orientada a los Retos de la Sociedad, en el marco del Plan Estatal de Investigacion Cientifica y Tecnica y de Innovacion 2017 - 2020", Grant RTI2018-094357-B-C21. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | International Journal of Heat and Mass Transfer | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Fractional derivative equation | es_ES |
dc.subject | Time fractional equation | es_ES |
dc.subject | Thermal therapies | es_ES |
dc.subject | Heat equation | es_ES |
dc.subject | Laser irradiation | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | The time fractional approach for the modeling of thermal therapies: Temperature analysis in laser irradiation | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.ijheatmasstransfer.2020.119677 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-094357-B-C21/ES/MODELADO Y EXPERIMENTACION PARA TERAPIAS ABLATIVAS INNOVADORAS/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/CONICYT//1180041/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Lizama, C.; Trujillo Guillen, M. (2020). The time fractional approach for the modeling of thermal therapies: Temperature analysis in laser irradiation. International Journal of Heat and Mass Transfer. 154:1-9. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119677 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.ijheatmasstransfer.2020.119677 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 9 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 154 | es_ES |
dc.relation.pasarela | S\416580 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Comisión Nacional de Investigación Científica y Tecnológica, Chile | es_ES |
dc.contributor.funder | Departamento de Investigaciones Científicas y Tecnológicas, Universidad de Santiago de Chile | es_ES |