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      基于生长模型的烤烟烘烤变黄动力学模型构建与应用

      Construction and Application of A Kinetic Model for Curing Yellowing of Flue-cured Tobacco Based on A Growth Model

      • 摘要: 为构建适用于描述烟叶变黄特性的数学模型,预测烘烤过程烤房内烟叶变黄程度及其均匀性,本研究系统采集了低熟、中熟、高熟3种成熟度烟叶在38、40、42 ℃条件下的变黄图像,并提取其变黄程度数据,以揭示成熟度与温度协同调控下的变黄规律。基于Logistic、Gompertz、Von Bertalanffy三种生长模型拟合烟叶变黄规律,筛选最优模型后,通过Arrhenius方程将模型参数与温度关联,构建烤烟烘烤变黄动力学模型,并利用物联网烤房进行验证与应用。结果表明,随成熟度上升,烟叶变黄速度呈先升后降趋势;随温度上升,变黄速度呈上升趋势;Logistic生长模型在不同组合处理变黄程度拟合中表现最优(R2为0.997 1~0.999 3,RMSE为0.009 3~0.018 2);随温度升高,低熟、中熟、高熟烟叶变黄过程反应活化能分别为89.38、71.24和96.86 kJ/mol;变黄动力学模型在烘烤过程中对变黄程度的预测表现优异(R2为0.993 4~0.994 6),且模型计算表明12~36 h阶段烤房内烟叶变黄均匀性显著改善。本研究构建的模型揭示了烟叶变黄特性的变化规律,准确预测了烤房内烟叶变黄程度和变黄均匀性变化,为变黄期工艺调控提供理论依据。

         

        Abstract: To develop a mathematical model for describing the yellowing characteristics of tobacco leaves and predicting the degree and uniformity of leaf yellowing in the curing barn during flue-curing, and to reveal the yellowing patterns under the synergistic regulation of maturity and temperature, this study systematically collected images of under-mature, mature, and over-mature tobacco leaves at 38 ℃, 40 ℃, and 42 ℃ and extracted the corresponding yellowing degree data. Three growth models — Logistic, Gompertz, and Von Bertalanffy — were used to fit the yellowing patterns of tobacco leaves. After selecting the optimal model, the Arrhenius equation was employed to correlate its parameters with temperature, thereby developing a kinetic model of flue-cured tobacco leaves yellowing during curing, which was subsequently validated and applied using the Internet of Things (IoT)-enabled cuing barn. The results showed that the yellowing rate of tobacco leaves increased initially and then decreased as maturity increased, while it consistently increased with rising temperature. Among the three growth models, the Logistic model performed best in fitting the yellowing degree across different treatment combinations, with R2 ranging from 0.997 1 to 0.999 3 and RMSE from 0.009 3 to 0.018 2). The reaction activation energies for the yellowing process of under-mature, mature, and over-mature tobacco leaves were 89.38, 71.24, and 96.86 kJ/mol, respectively. The proposed kinetic model showed excellent performance in predicting yellowing degree during curing, with R2 ranging from 0.993 4 to 0.994 6. Furthermore, model calculations identified a significant improvement in the uniformity of leaf yellowing within the curing barn during the 12-36 h period. This model developed in this study reveals the yellowing dynamics of tobacco leaves, and accurately predicts both the degree and uniformity of tobacco leaves yellowing in the curing barn, providing a theoretical basis for process regulation during the yellowing period.

         

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