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The purpose of this paper is to show the effectiveness of the two-dimensional analysis of low temperature helium using a numerical model proposed in the previous paper. The model is applicable for a wide range of temperatures from He II to the vapor He I. Two-dimensional numerical analysis for a horizontal channel heated at the bottom was performed. The results were compared with experimental results. For low heat flux, the temperature distributions in the channel in a steady state obtained from the numerical analysis showed quantitative agreements with those from the experiment. For higher heat flux, numerical results could simulate experimental temperature distributions reasonably but not as accurately. The changes in velocity fields caused by the phase transition were observed in the transient analysis. It was verified that the proposed model using the two-dimensional system is valid even in the temperature range including the phase transition.

Numerical Analysis for Two-dimensional Heat Transfer of He II with Phase Transition.