中文摘要：

在耦合的热湿传递数学模型基础上,提出了一类三层多孔织物厚度决定反问题。首先给出了完整的三层多孔织物热湿传递数学模型,使用有限差分法求解该模型,并分析了差分格式解的唯一性;其次以该热湿传递模型为基础,根据低温环境下保暖性设计要求,提出了三层多孔织物厚度决定反问题;最后利用遗传算法进行数值求解,通过Matlab进行数值模拟,数值结果验证了算法的有效性。

英文摘要：

Based on a coupled heat and moisture transfer mathematical model,an inverse problem of thickness determination for three-layer porous fabric is put forward.Firstly,a complete heat and moisture transfer mathematical model for three-layer porous fabric is given,and the finite difference method is used to solve this model.Besides,the uniqueness of the solution is analyzed.Secondly,based on the heat and moisture transfer model,inverse problem of thickness determination for three-layer porous fabric is proposed according to the requirement of thermal insulation.Finally,the genetic algorithm is used to solve this problem,and numerical simulation was carried out through Matlab.The numerical result verified the effectiveness of this algorithm.