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

Mohsen Torabi, Hessameddin Yaghoobi, Karem Boubaker

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)122-138
Number of pages17
JournalInternational Journal of Thermophysics
Volume34
Issue number1
DOIs
Publication statusPublished - Jan 2013
Externally publishedYes

ASJC Scopus Subject Areas

  • Condensed Matter Physics

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