Xg. Liang et al., THEORETICAL-ANALYSIS OF TRANSIENT HEAT-CONDUCTION IN SAND, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 39(8), 1996, pp. 855-863
A simplified two-phase system model, with the heat transfer between ph
ases considered, is presented and applied to the transient heat conduc
tion in sand. The analytical results show that the one-dimensional Fou
rier's law is not applicable to the transient heat conduction at very
short time and there is no thermal wave described by C-V equation in s
and. The two-phase system model correlates with experimental data well
. Each phase responds to heating at different speeds in composite mate
rial, and consequently results in a temperature difference between pha
ses. This difference will cause heat transfer between phases, which ca
n be regarded as a heat source or sink to other phase. it is certain t
hat Fourier's law cannot describe the transient heat conduction in san
d if a one-dimensional problem with equivalent thermal diffusivity is
assumed.