Heat conduction equation at micro and nano scale: approximation methods
AuthorMomeni-Masuleh, S. H.
MetadataShow full item record
CitationMomeni-Masulah, S. H. (2009). Heat conduction equation at micro and nano scale: approximation methods. Maltepe Üniversitesi. s. 348.
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.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
The following license files are associated with this item: