相変化を伴う熱伝導について

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  • Heat Conduction with Phase Change
  • ソウヘンカ オ トモナウ ネツ デンドウ ニ ツイテ

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Although heat conduction with phase change has a great field to be solved for its application not only to the study of various natural phenomena, but also to the practices, it seems that the study has not yet been sufficiently developed for the above mentioned purposes because of its difficulties. The authors, therefore, have tried to get a broad outlook in this field from a stand-point of dimensional analysis. Using dimensionless quantities derived from such an analysis, the partial differential equations of heat conduction can be changed to ordinary ones and it is shown that the general solutions obtained in this way include the exact solutions which have been solved likely by chance. Considerations of a dimensionless quantity being a ratio between the effect of latent and sensible heat, give an approximate and very convenient method to obtain a solution sufficiently exact when the value of the above-mentioned dimensionless quantity is large. This report also gives a rule to decide whether the moving velocity of an interface obtained in this way is higher or lower than that which would be given by the exact solution. The numerical analysis following E. Schmidt is also discussed briefly.

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