薄い周期変動熱抵抗層を挟む導体間の熱伝導

抄録

This paper analytically treats of the heat-flow through the periodically varying thermal-resistance thin layer lain between conductors or the heat-flow between two periodically contacting conductors. During one cycle of the period, p, thermal-conductance of the thin layer temporally changes in a stepwise profile, and takes two different values, R_c and R_d over the time spans, φp and (1-φ) p, respectively. Analytical solution for the effective thermal-conductance, R_e, of the thin layer was algebraically approximated using R_c, R_d, φ and the harmonic mean, R_ab, of the characteristic thermal-conductances of the two conductors. Algebraical approximation was also made for the maximum temperature amplitude, Δθ^*_max, arising at the joint ends of conductors. This approximation suggests the following features of Δθ^*_max, Δθ^*_max takes the maximum value, (Δθ^*_max)_max, at specified value of φ, φ_max, φ_max depends only single parameter R_c/R_d, and becomes large with increase of this parameter. On the other hand, (Δθ^*_max)_max depends not only R_c/R_d but also R_d.