纤维素纤维增强水泥砂浆复合材料干燥过程的实验与数学建模

Pub Date : 2022-11-17 DOI:10.15255/kui.2022.010
Amina Lachenani‬, M. Bentchikou, Mouloud Boumahdi, S. Hanini, M. Laidi
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引用次数: 0

摘要

本文提出了六个基于半经验微积分的新数学模型,并将其应用于表征纤维素纤维增强水泥砂浆复合材料的烘箱干燥过程。干燥实验在四个水平的烘箱干燥温度(70、85、105和120°C)下进行,四种不同的纤维素纤维含量(0、5、10和20%)。除了六个提出的模型外,还将获得的结果与六个最常用的数学干燥模型(牛顿、佩奇、佩奇修正1、佩奇修正2、Handerson-Pabis和对数)的回归分析得出的结果进行了比较。干燥过程的回归精度通过决定系数(R2)、低均方误差(MSE)、低方根误差(RMSE)和平均绝对误差(MAE)来评估。使用了额外的标准来确保所选模型的有效性。所获得的值表明所提出的模型MR9具有高度精确的拟合,这意味着所提出的模式可以清楚地解释实验干燥数据并预测CMCRCF的干燥状态。
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Drying Process of Cement Mortar Composites Reinforced with Cellulosic Fibres: Experiment and Mathematical Modelling
In this paper, six novel mathematical models based on semi-empirical calculus are proposed and applied to characterise the oven-drying process of cement mortar composites reinforced with cellulosic fibres (CMCRCFs). The drying experiments were carried out on four levels of oven-drying temperatures (70, 85, 105, and 120 ° C), with four different cellulosic fibres content (0, 5, 10, and 20 %). Obtained results were compared to those derived by regression analysis of six most typically used math ematical drying models (Newton, Page, Page modified1, Page modified2, Handerson Pabis, and Logarithmic) in addition to six proposed models. The regression accuracy of the drying process was evaluated by the coefficient of determination ( R 2 ), low mean square error (MSE), low root mean squared error (RMSE), and mean absolute error (MAE). Additional criteria were used to ensure more validity of the selected models. The obtained values indicate a highly accurate fit of the proposed model MR9, meaning that the proposed model can clearly interpret the experimental drying data and predict the dry state of CMCRCFs.
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