中文摘要：

对第二类热边界条件下的接触熔化问题进行研究,针对水平椭圆柱热源,建立了定热流接触熔化模型。运用Nusselt液膜理论建立熔化控制方程,通过理论分析,得到了无量纲熔化方程组。对接触熔化速度,熔化液膜厚度和压力分布等参数的变化规律进行讨论,并与温差熔化结果进行比较,研究第二类热边界条件下的接触熔化规律。结果表明：接触熔化速度随热源施加的热流密度呈类线性变化;熔化速度随热源表面压缩系数J的增加而增大,当J=1时椭圆柱热源的熔化结果适用于圆柱热源,当J=0.1时,椭圆柱热源可按平板热源近似。

英文摘要：

The problem of contact melting under Neumann condition was studied,and an analysis model of contact melting with constant heat flux around a horizontal elliptical heat source was established.The control equations of melting were established by applying Nusselt＇s liquid film theory,and the dimensionless melting equations were obtained theoretically.The variations of melting velocity,thickness and pressure distribution of molten layer were discussed,and the results was compared with that of melting under Dirichlet condition to study the melting law with Neumann condition.It was found that the melting velocity varies linearly with the heat flux released from the surface of source,and increases with the increasing of the aspect ratio J;While J=1,the results of elliptical source can be used for the cylindrical source;While J=0.1,the contact melting around the elliptical cylinder is in accordance with that around the sheet source.