有限の幅の加熱された水平板による相変化物質の定常溶融について

概要

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The problem of steady melting of a solid body of a phase-change material in contact with a warm rigid body is theoretically studied in two-dimensional space. The phase-change material, always at the melting temperature, is assumed to melt upon contact with the downwards horizontal surface of the rectangular rigid body. The equations governing heat flow in the melted liquid and in the rigid body are simultaneously solved using the technique of Fourier analysis. The analytical procedure of determining the shape of the interface between the liquid phase and the solid one is explained in detail. The coefficients of the Fourier series are found in the analytically closed forms with two parameters, the aspect ratio and the Peclect number. The interface of the phase-change material melted from above is found analytically. The phenomenon of steady melting considered here connot arise if the temperature of heating does not accommodate the speed of melting. The critical conditions determining whether there exists a state of steady melting are found in an analytical form for the cases without and with convection. The effect of convection is discussed in terms of the difference in the heat flux on the undersurface of the rigid body and the interface.
社団法人日本機械学会の論文
1993-06-25