| 谷物干燥动力学中Page模型的分数阶微分方程理论 |
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| 引用本文： | 张宏伟,呼青英.谷物干燥动力学中Page模型的分数阶微分方程理论[J].滨州学院学报,2011,27(3):1-4. |
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| 作者姓名： | 张宏伟 呼青英 |
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| 作者单位： | 河南工业大学理学院,河南郑州,450001 |
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| 基金项目： | 河南省自然科学基金资助项目，河南工业大学重点项目基金资助 |
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| 摘 要： | 首次将分数阶微分方程应用于谷物干燥动力学,并给出了相应分数阶微分方程的解.证明了谷物干燥动力学中半经验、半理论Page模型和经典的Lewis模型从微分方程角度的统一性,还给出了其生物解释和进一步推广.
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| 关 键 词： | 分数阶微分方程 谷物干燥动力学 数学模型 |
A Fractional Differential Equation Model for Drying Kinetics of Grain Materials |
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| ZHANG Hong-wei,HU Qing-ying.A Fractional Differential Equation Model for Drying Kinetics of Grain Materials[J].Journal of Binzhou University,2011,27(3):1-4. |
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| Authors: | ZHANG Hong-wei HU Qing-ying |
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| Institution: | (Department of Mathematics,Henan University of Technology,Zhengzhou 450001,China) |
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| Abstract: | A fractional differential equation model to describe the drying process of grain materials is given firstly.The exact solution of the equation is given and the solution coincide with the well-known semi-empirical Page formula in drying kinetics.The unitedness of the Page model and Lewis model is proved.A new model for the drying process is given by a two-term fractional differential equation,which is a generalized of the classical Lewis model in drying kinetics. |
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| Keywords: | fractional differential equation drying kinetics mathematical model |
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