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The heat balance integral method for cylindrical extruders
Journal of Engineering Mathematics ( IF 1.3 ) Pub Date : 2020-04-13 , DOI: 10.1007/s10665-020-10041-y Jacob W. Sitison , David A. Edwards
Journal of Engineering Mathematics ( IF 1.3 ) Pub Date : 2020-04-13 , DOI: 10.1007/s10665-020-10041-y Jacob W. Sitison , David A. Edwards
In the hot end of a 3-D printer, polymer feedstock flows through a heated cylinder in order to become pliable. This setup determines a natural upper limit to the speed at which the polymer may be extruded. The case of polymers which undergo the crystalline-melt transition is considered; the resulting mathematical model is a Stefan-like moving boundary-value problem for the polymer temperature. Using the heat balance integral method provides an analytical approximation for the temperature. Several different conditions which use this temperature to establish the maximum velocity are considered; using a pointwise polymer exit temperature in the hot end matches well with experimental data.
中文翻译:
圆柱挤出机的热平衡积分法
在 3D 打印机的热端,聚合物原料流经加热的圆筒以变得柔韧。这种设置决定了聚合物挤出速度的自然上限。考虑了经历结晶-熔体转变的聚合物的情况;由此产生的数学模型是聚合物温度的类 Stefan 移动边界值问题。使用热平衡积分方法提供了温度的解析近似值。考虑了使用该温度建立最大速度的几种不同条件;在热端使用逐点聚合物出口温度与实验数据匹配良好。
更新日期:2020-04-13
中文翻译:
圆柱挤出机的热平衡积分法
在 3D 打印机的热端,聚合物原料流经加热的圆筒以变得柔韧。这种设置决定了聚合物挤出速度的自然上限。考虑了经历结晶-熔体转变的聚合物的情况;由此产生的数学模型是聚合物温度的类 Stefan 移动边界值问题。使用热平衡积分方法提供了温度的解析近似值。考虑了使用该温度建立最大速度的几种不同条件;在热端使用逐点聚合物出口温度与实验数据匹配良好。