Inverse problem of thickness design for bilayer textile materials combined with particle swarm algorithm

This paper deals with an inverse problem of estimating bilayer textile fabric thickness based on a one-dimensional steady-state heat and moisture transfer model to provide theoretical support and scientific explanation for functional design for textile material.We first present a model of heat and moisture transfer for bilayer textile materials with boundary conditions,which is a coupled ordinary differential equation including temperature and humidity.We transform them into two two-point initial and boundary value problems by decoupling and solve them by finite difference method.According to the requirement of heat and moisture comfort of clothing,we then formulate this inverse heat and moisture transfer problem which estimates the thickness of inner layer fabric as an optimization problem with least square solution.Finally,we use particle swarm algorithm to solve this inverse problem.The results demonstrate that our inverse problem is quiet acceptable,and the particle swarm algorithm effectively solves this inverse problem,showing the proposed method is robust.