传热过程中固体形状对温度分布的影响分析

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在火法精炼过程中固态金属所需要的尺寸以及具体的温度分布情况一直是个经验数据。关于固态金属在熔融金属中的温度变化很少有理论分析。针对固态金属在高温熔体中的尺寸、温度分布情况进行了研究和分析。利用微元分析法、等效替代法以及偏微分方程对温度的分布情况,随角度变化的趋势进行了定性的分析。得出固态金属在二维空间中,从方形到圆形过程,其边缘温度的分布情况。随着正多边形n的变化,温度分布趋势t’(n)先减小,后增大。当n=6时,温度分布趋势t’(n)取得最小值,也就是局部延迟现象的驱动力达到最小状态。因此大多数的熔化延迟现象结束时,角度停留在120°左右。并对固态金属钨在三维空间中的温度分布情况进行了传热模拟(周围的温度为1500℃,以及金属钨的密度为19350 kg·m~(-3)、比热容为134 J·(kg·℃)~(-1)、常温下的热导率为179 W·(m·℃)~(-1),传热时间200 s)。基于上述结论可以量化分析固态金属在高温环境下的温度分布情况,对金属在火法提纯过程中的尺寸和温度控制具有一定的指导意义。 The size of the solid metal needed during the pyrometallurgical refining process and the specific temperature profile have been empirical data. There is little theoretical analysis about the temperature change of solid metal in molten metal. The size and temperature distribution of solid metal in high temperature melt were studied and analyzed. Using the methods of element analysis, equivalent substitution and partial differential equations, the distribution of temperature and the trend of change with the angle are qualitatively analyzed. Obtained solid metal in two-dimensional space, from the square to the circular process, the edge of the temperature distribution. As the regular polygon n changes, the temperature distribution trend t ’(n) decreases first and then increases. When n = 6, the temperature distribution trend t ’(n) gets the minimum value, that is, the driving force of the local delay phenomenon reaches the minimum state. Therefore, most of the melting delay phenomenon ends, the angle stays at about 120 °. The temperature distribution of solid tungsten metal in three-dimensional space was simulated by heat transfer (the ambient temperature was 1500 ℃, the density of tungsten metal was 19350 kg · m -3, the specific heat capacity was 134 J · kg · ℃) -1, the thermal conductivity at room temperature is 179 W · (m · ℃) -1, the heat transfer time is 200 s). Based on the above conclusions, it is possible to quantitatively analyze the temperature distribution of solid metal at high temperature, which is of guiding significance for the size and temperature control of metal in the pyrolysis process.
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