多孔介质快速传热传质藕合效应的理论研究

针对多孔材料快速受热物理过程传热和传质藕合微分方程组,用拉普拉斯变换法进行求解,将温度和湿度藕合方程转化为温度度或湿度的常微分方程,给出了半无限体藕合方程温度或湿度拉氏变换的普遍解。且给出各自普适解系数之间的比例关系。在第一类边界条件下对具体算例进行解析研究,求得问题的解析解,给出了温度和湿度的时空变化规律。讨论了传热与传质过程的藕合效应,结果表明在快速受热情况下,考虑与不考虑藕合效应表面邻域温度和湿度的空间分布差别很大,藕合效应非常明显。

Analytical Method to calculate Coupled heat and Moisture Transfer In Porous Materials of half Space During Rapid Drying Process

Laplace Transfer Methods are applied to coupled differential equations for heat and moisture transfer in half space porous materials during rapid drying process.General Laplace Transfer solution are given for Coupled differential equations under first boundary conditions.Combining coupled equations form to 4-order general equation and Laplace transform solutions for the temperature and humidity are drawn.Constant proportion relations for the temperature and humidity solutions are also proven.The transient temperature and humidity distributions are presented during rapid drying process.The results with coupled effects have apparent differences compared to uncoupled effects and shows coupled effects take place possibly in zone closing to heating surface.