Abstract Interface thermodynamic and mathematical analysis of modified Luikov equations (MLEs) for simultaneous heat and mass transfer in solids were developed. The thermodynamic relations at interface show that air-(wet solid) equilibrium relation may be mathematically approximated by two linear segments. These linear relations conduced to the possibility that MLEs have analytical solution for 1D rectangular, 1D radial cylindrical and 1D radial spherical coordinates system; and, the existence of a topology between solutions. The implications of MLEs thermodynamic and mathematical analysis on lumped equations were discussed. Experimental evolution of moisture and temperature during potato drying were compared with MLEs analytical (for one single linear stage at interface) and numerical (for the 2 linear stages) solutions.

中文翻译：

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用于同时传热和传质的修正 Luikov 方程的热力学和数学分析

摘要 开发了用于固体中同时传热和传质的修正 Luikov 方程 (MLE) 的界面热力学和数学分析。界面处的热力学关系表明空气-（湿固体）平衡关系可以用两个线性段在数学上近似。这些线性关系有助于 MLE 对一维直角坐标系、一维径向圆柱坐标系和一维径向球坐标系具有解析解的可能性；并且，解决方案之间存在拓扑。讨论了 MLE 热力学和数学分析对集总方程的影响。马铃薯干燥过程中水分和温度的实验演变与 MLE 分析（对于界面处的一个单一线性阶段）和数值（对于 2 个线性阶段）解决方案进行了比较。