Heat conduction equation at micro and nano scale: approximation methods
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Momeni-Masulah, S. H. (2009). Heat conduction equation at micro and nano scale: approximation methods. Maltepe Üniversitesi. s. 348.
