CAJ | 학술논문

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.
수차장분수계미분방정응용우곡물간조동역학,병급출료상응분수계미분방정적해.증명료곡물간조동역학중반경험、반이론Page모형화경전적Lewis모형종미분방정각도적통일성,환급출료기생물해석화진일보추엄.
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.