烟叶烘烤相对失水速率数学模型

为掌握烟叶烘烤干燥速度的计算，为烟叶精准化烘烤提供技术支撑，利用上海实验仪器厂101A-3型电热鼓风干燥箱进行烘烤试验，温度稳定在39 ℃、湿球温度稳定在32 ℃、风机挡位开启1挡的条件下，考查薄层胶体毛细管多孔干燥动力学研究及理论分析，结合实测数据，构建了烟叶烘烤湿表面分率数学模型及相对失水速率数学模型。烟叶烘烤湿表面分率数学模型，在薄层胶体多毛细管多孔物料湿表面分率数学模型的基础上再乘以厚度收缩率的减少量，即fi=φ×（1－Hsi）=XiXC×（1－Hsi），模型模拟值和观察值拟合性较好，误差较小；烟叶烘烤相对失水速率数学模型，在湿表面分率数学模型的基础上再乘以面积收缩率、长度收缩率、宽度收缩率、厚度收缩率及呼吸消耗量5个因子的减少量，即F=fi×（1－Asi）×（1－Lsi）×（1－Ksi）×（1－Hsi）×（1－HXi），经绘制成对曲线图、t检验及相关系数分析，模型模拟值和实测值拟合性较好，误差较小。该试验构建的烟叶烘烤相对失水数学模型可解决烟叶烘烤降速阶段烟叶失水速度难以计算的问题，为烟叶烘烤精准控制、失水速度的计算提供了新的数学模型计算方法。 

Mathematical Model of Relative Water-loss Rate of Tobacco Curing

In order to master calculation of drying rate of tobacco leaves，and to provide technical support for accurate curing，mathematical model of relative water-loss rate of tobacco curing was studied.Thin colloidal capillary porous drying kinetics was investigated，and experimental measured data using 101A-3 electric drying oven with forced convection（Shanghai Experimental Instrument Factor）under condition of temperature 39 ℃，wet ball 32 ℃ and fan gear opened on first gear were analyzed to construct mathematical model.The constructed mathematical model of wet-surface ratio was fi=φ×（1－Hsi）=XiXC×（1－Hsi），and simulation values of model and observation values fitted well and error was small.Mathematical model of relative water-loss rate was F=fi×（1－Asi）×（1－Lsi）×（1－Ksi）×（1-Hsi）×（1-HXi），and simulation values of model and measured values fitted well and error was small by curve graph，t test and correlation coefficient analysis.Model of relative water-loss rate could calculate water loss rate in deceleration stage during tobacco curing，and solve problem of water loss which difficult to calculate in deceleration stage during curing，and provide a new mathematical model to accurate control tobacco curing and calculate water loss rate.