Abstract
With the advent of temperatures near absolute zero, it is often claimed that at very low temperatures the effect of thermal wave propagation must be included by the hyperbolic heat conduction equation (HHCE). In this paper the non-linear convective-radiative HHCE is investigated. Opposite to common numerical analyses, analytical expressions are obtained for the temperature variations by the multi-step differential transformation method. Some conclusions about alteration of the specific heat of the material, temperature steeping, and Vernotte number have been formulated.
Original language | English |
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Pages (from-to) | 122-138 |
Number of pages | 17 |
Journal | International Journal of Thermophysics |
Volume | 34 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2013 |
Externally published | Yes |
ASJC Scopus Subject Areas
- Condensed Matter Physics
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Torabi, M., Yaghoobi, H., & Boubaker, K. (2013). Thermal analysis of non-linear convective-radiative hyperbolic lumped systems with simultaneous variation of temperature-dependent specific heat and surface emissivity by MsDTM and BPES. International Journal of Thermophysics, 34(1), 122-138. https://doi.org/10.1007/s10765-012-1388-5