薄い周期変動熱抵抗層を挟む導体間の熱伝導

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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.
社団法人日本機械学会の論文
1998-11-25