Abstract

A mathematical structural model of a Tamman vacuum high-temperature electric furnace with a heater in the form of a coal or graphite pipe and thermal insulation in the form of graphite cylinder shields is developed and implemented in the Simulink software package. The thermal resistance of the thermal conductivity of graphite shields, which is traditionally neglected in the calculation of widespread thin metal shields, was taken into account in the simulation of thermal processes. Also, the model takes into account the mass flow of the material of the elements of the furnace structure (the speed of the mass flow depends on the temperature and pressure in the working space), causing a change of the size and, correspondingly, the coefficients of the heat transfer caused by the radiation of the elements of the structure. The temperature regime of separate structural elements (heaters, shields, etc.) is analyzed both for a constant supply voltage of heaters and for the case in which a closed temperature control system is used. The influence of the temperature regime of structural elements on the wear of heating elements and shields is shown.

中文翻译：

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用数学模型预测塔曼真空高温炉结构元件的寿命

摘要

在Simulink软件包中开发并实现了Tamman真空高温电炉的数学结构模型，该加热器具有煤或石墨管形式的加热器以及石墨圆柱罩形式的绝热材料。在热过程的模拟中，通常考虑了在广泛的薄金属屏蔽层的计算中通常忽略的石墨屏蔽层的导热系数的热阻。此外，该模型还考虑了熔炉结构元素的材料的质量流量（质量流量的速度取决于工作空间中的温度和压力），从而导致尺寸发生变化，并相应地导致由结构元素的辐射引起的传热系数。对于加热器的恒定电源电压以及使用封闭温度控制系统的情况，都分析了单独的结构元件（加热器，护罩等）的温度状态。示出了结构元件的温度状态对加热元件和护罩的磨损的影响。