応用物理
Online ISSN : 2188-2290
Print ISSN : 0369-8009
相変化を伴う熱伝導問題の近似解とその鋳型乾燥への応用
藤田 志郎
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ジャーナル フリー

1963 年 32 巻 1 号 p. 7-10

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The heat conduction involving a change of phase such as that of a slab melting from its surface is a problem mathematically nonlinear-Therefore, if specified boundary-ondifiunss are not given., exact solution is yet to be found.
In this report, an approximate solutionn which gives the location of the boundary between solid and liquid (melt line) is derived by the “heat balance integral” method when the surface tempeaat d on time and the slab melts from its surface.
The relation between the distance of the melt line from the surface and the time required for the melt line to cover this distance is repreiented by a differential equation. Fsecially when the is a linear function of time, solution of this iequation can be obtained.
An approximate solution of this equation is applied to the problem of drying mold. In order to find the degree of dryness of mold, temperature distribution in the sample mold placed in a drying furnace is measured.
The results of numerical calculation agree with the results of this experiment.
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