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Mathematical modelling of bubble removal from a glass melting channel with defined melt flow and the relation between the optimal flow conditions of bubble removal and sand dissolution

机译：具有定义的熔体流动的玻璃熔体通道中气泡去除的数学模型以及气泡去除和砂子溶解的最佳流动条件之间的关系

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摘要

The bubble removal process was mathematically modelled in a continuous glass melting space with the intention of evaluating the impact of the glass flow character on the processes of bubble removal, when the bubble growth rate and the length of the channel were further variables. The different glass flow patterns in a model horizontal melting channel with a free glass level were implemented with linear temperature gradients applied on the glass level. The recently derived and introduced quantity called utilisation of the space and optimal conditions of beneficial glass flow patterns, which resulted in the spiral melt and bubble trajectories, were applied in all the examined cases by mathematical modelling. The optimal values of the utilisation of the space and the maximal bubble removal performances of the space were calculated. The values of the optimal space utilisation and maximal bubble removal performance were high over the entire considered range of the applied temperature gradients, bubble growth rates and channel lengths. The optimal conditions for bubble removal were comparable with those valid for sand dissolution which provided a chance to operate both processes effectively under identical melt flow conditions, i.e. in a common melting space. The application of the optimal flow character in glass melting furnaces appears promising for high performance facilities or for miniaturisation of the melting space and for decreasing the energy losses of the melting process.
机译：在气泡生长速率和通道长度进一步变化的情况下，在连续的玻璃熔化空间中对气泡去除过程进行了数学建模，目的是评估玻璃流动特性对气泡去除过程的影响。在具有自由玻璃水准仪的模型水平熔化通道中，通过在玻璃水准仪上施加线性温度梯度来实现不同的玻璃流动模式。通过数学建模将最近得出并引入的数量（称为空间利用率）和有益的玻璃流动模式的最佳条件（导致螺旋熔体和气泡轨迹）应用到所有检查的案例中。计算了空间利用的最佳值和空间的最大除泡性能。在所考虑的应用温度梯度，气泡生长速率和通道长度的整个范围内，最佳空间利用率和最大气泡去除性能的值都很高。去除气泡的最佳条件与对于砂子溶解有效的条件相当，这提供了在相同的熔体流动条件下，即在共同的熔化空间中有效地操作两种方法的机会。在玻璃熔炼炉中应用最佳流动特性对于高性能设备或使熔炼空间最小化并减少熔炼过程的能量损失似乎很有希望。

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