求解织物热湿耦合方程的控制体-时域递归展开算法

Control Volume-Time Domain Recursive Method for Solving Coupled Equations of Heat and Moisture Transfer in Fabrics

为求解织物热湿传递耦合方程,给出了一种基于控制体积法和时域递归展开的求解织物热湿传递耦合方程的算法。首先,在时域对方程变量和参数进行级数展开,然后使用控制体积法对方程空间域进行离散,从而化连续性的非线性微分方程组为一系列的递归形式的线性代数方程组。文中给出了问题的求解步骤和算例。结论表明该方法的预测结果具有不依赖时间步长的特点。

To solve the coupled governing equations for describing heat and moisture transfer in fabrics, a precise time recursive algorithm is applied to heat and moisture coupled equations for fabrics, while a fi- nite volume method based recurrent system is developed. Then, a new computing procedure without it- eration for solving nonlinear coupled equations of the heat and moisture transfer in the fabric is carried out and an example is given. The conclusion shows that the solution accuracy does not depend on the sizes of the time step.