围绕轴对称抛物体热源的定热流接触熔化分析

Analysis of contact melting around an axisymmetric parabolic body with constant heat flux

目前,有关定热流接触熔化的研究较少,而定热流密度在实际应用中经常遇到。为此,对相变材料轴对称抛物体热源恒定热流密度条件下的接触熔化过程进行了分析。首先,考虑轴对称抛物体热源表面和固液相变界面法向角的不同,给出了分析模型;然后,推导出其熔化过程的基本方程,并求得边界层压力分布、固液相界面法向角变化规律、边界层厚度分布和熔化速度与外力的关系;最后,分析了不同的热源形状系数下基本方程的解,与围绕圆球热源恒定热流密度条件下的接触熔化结果进行了比较,给出了一些有意义的结论。

At present,there are few studies on constant heat flux contact melting,and constant heat flux is often encountered in practice.The contact melting around a moving axisymmetric parabolic body with constant surface heat flux,which melts its way through the phase-change material(PCM)on an applied force,was investigated analytically.Considering the difference of normal angle between the axisymmetric parabolic body surface and the solid-liquid interface of PCM,the mathematic model was proposed,and the fundamental equations for the melting process were given.The pressure distribution inside the melting boundary layer,the variation law of normal angle of the solid-liquid interface,the thickness of the boundary layer and the relationship between the melting velocity and applied force were obtained.The solutions of the fundamental equations under different shape coefficients were analyzed.The basic differences from that of contact melting around a sphere were also discussed.Some significant conclusions were drawn.