论文标题
用于聚甲基丙烯酸酯中热传递的机器学习和数值建模的比较分析
Comparative analysis of machine learning and numerical modeling for combined heat transfer in Polymethylmethacrylate
论文作者
论文摘要
这项研究比较了预测聚甲基丙烯酸酯（PMMA）样品中导电和辐射传热的同时作用的不同方法。 PMMA是一种在各种传感器和执行器设备中使用的聚合物。在数值分析中考虑了一维组合传热。在离散化的情况下，使用隐式有限差方法获得了用于管理方程的数值解的计算机实现。 Kirchhoff转化用于通过考虑单色辐射强度和应用于PMMA样品边界的温度条件来从非线性传导传热方程中获取数据。对于深神经网络（DNN）方法，引入了新型的长期短期记忆（LSTM）方法，以在处理时间最少的时间比数值方法找到准确的结果。最近的一项研究得出了PMMA样品的联合热传输及其温度曲线。此外，瞬态温度曲线由另一项研究验证。比较证明了一个完美的协议。它显示了主要位置中的温度梯度，从而使PMMA样品从光谱中量进行了多种导电热传递。将其与新型DNN方法进行比较时，它更加简单。结果表明，这种人工智能方法在预测问题方面是准确而快速的。通过分析数值溶液的结果，可以理解，在梯度行为的情况下，导电和辐射热通量相似，但其量也大约是两倍。因此，总热通量在近似稳态条件下具有恒定值。除了分析其组成外，还实施了ROC曲线和混淆矩阵以评估算法性能。
This study compares different methods to predict the simultaneous effects of conductive and radiative heat transfer in a Polymethylmethacrylate (PMMA) sample. PMMA is a kind of polymer utilized in various sensors and actuator devices. One-dimensional combined heat transfer is considered in numerical analysis. Computer implementation was obtained for the numerical solution of governing equation with the implicit finite difference method in the case of discretization. Kirchhoff transformation was used to get data from a non-linear equation of conductive heat transfer by considering monochromatic radiation intensity and temperature conditions applied to the PMMA sample boundaries. For Deep Neural Network (DNN) method, the novel Long Short Term Memory (LSTM) method was introduced to find accurate results in the least processing time than the numerical method. A recent study derived the combined heat transfers and their temperature profiles for the PMMA sample. Furthermore, the transient temperature profile is validated by another study. A comparison proves a perfect agreement. It shows the temperature gradient in the primary positions that makes a spectral amount of conductive heat transfer from a PMMA sample. It is more straightforward when they are compared with the novel DNN method. Results demonstrate that this artificial intelligence method is accurate and fast in predicting problems. By analyzing the results from the numerical solution it can be understood that the conductive and radiative heat flux is similar in the case of gradient behavior, but it is also twice in its amount approximately. Hence, total heat flux has a constant value in an approximated steady state condition. In addition to analyzing their composition, ROC curve and confusion matrix were implemented to evaluate the algorithm performance.
