Heat conduction equation at micro and nano scale: approximation methods

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dc.contributor.authorMomeni-Masuleh, S. H.
dc.date.accessioned2024-07-12T20:56:03Z
dc.date.available2024-07-12T20:56:03Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractIn the classical theory of diffusion, Fourier law of heat conduction, it is assumed that the heat flux vector and temperature gradient across a material volume occur at the same instant of time. It has shown that if the scale in one direction is at the microscale (of order 0.1 µm), then the heat flux and temperature gradient occur in this direction at different times. In the so-called non-Fourier heat conduction equation a second-order derivative of temperature with respect to time and a third-order mixed derivative of temperature with respect to space and time will appear. Among the frameworks to study the non-Fourier heat conduction equation, the dual-phase-lag framework is employed. In this talk, some numerical approaches for solving the heat conduction equation in various domains are presented.en_US
dc.identifier.citationMomeni-Masulah, S. H. (2009). Heat conduction equation at micro and nano scale: approximation methods. Maltepe Üniversitesi. s. 348.en_US
dc.identifier.endpage349en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage348en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2927
dc.institutionauthorMomeni-Masuleh, S. H.
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07651
dc.titleHeat conduction equation at micro and nano scale: approximation methodsen_US
dc.typeConference Object
dspace.entity.typePublication

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