Abstract We consider a model for the contact melting of a block of phase change material on a flat, heated surface. The block and melt have linear temperature-dependent thermal conductivity and viscosity. The model consists of heat equations for the solid and liquid temperatures, the Navier–Stokes equations in the liquid melt layer, a Stefan condition at the solid–liquid interface and a force balance between the weight of the solid and the countering pressure in the liquid. The heat balance integral method is used to obtain an approximate solution for the solid temperature. We demonstrate that in the case of n-octadecane the inclusion of temperature-dependent effects slows down the melting process. Finally, we vary the parameters in the linear expressions for the conductivities and viscosities to understand the behaviour of the system.

中文翻译：

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具有温度相关特性的矩形块的接触熔化

摘要 我们考虑在平坦的加热表面上接触熔化一块相变材料的模型。块体和熔体具有与温度相关的线性热导率和粘度。该模型由固体和液体温度的热方程、液体熔体层中的 Navier-Stokes 方程、固液界面的 Stefan 条件以及固体重量与液体中的反压力之间的力平衡组成. 热平衡积分法用于获得固体温度的近似解。我们证明，在正十八烷的情况下，包含温度相关效应会减慢熔化过程。最后，我们改变电导率和粘度的线性表达式中的参数以了解系统的行为。