TY - JOUR
T1 - 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
AU - Torabi, Mohsen
AU - Yaghoobi, Hessameddin
AU - Boubaker, Karem
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s10765-012-1388-5
DO - 10.1007/s10765-012-1388-5
M3 - Article
AN - SCOPUS:84873722223
SN - 0195-928X
VL - 34
SP - 122
EP - 138
JO - International Journal of Thermophysics
JF - International Journal of Thermophysics
IS - 1
ER -