Textile Materials, Heat And Moisture Transfer Steady-state Mathematical Model And Its Inverse Problem

In this paper, we study the existence and uniqueness of solution to the steady-state model of coupled heat and mass transfer through parallel pore textiles. Based on the model, an inverse problem of type determination for monolayer textile materials under low temperature is put forward. Further, we propose an inverse problem of type determination for bilayer textile materials under low temperature, which includes two different conditions. According to the idea of least squares and regularization method, an iterative algorithm for the regularized solution of the inverse problem is constructed, then the numerical simulations and material selections are given respectively.In chapter2, the well-posedness condition on the steady-state model of heat and mass transfer through parallel pore textiles is studied under reasonable hypothesis, then we can give and proof the existence and uniqueness condition of the solution to this model by using the Banach fixed point theorem.In chapter3and4, based on the steady-state model of coupled heat and mass transfer through parallel pore textiles, an inverse problem of type determination both for monolayer textile material and bilayer textile material under low temperature are put forward respectively. According to the idea of regularization method, the inverse problem of type determination can be formulated into a function minimization problem. Combining the finite difference algorithm for nonlinear ordinary differential equation with direct search method of one-dimensional minimization problems, an iterative algorithm for the regularized solution of the inverse problem is constructed. Numerical simulations are achieved by using the software MATLAB.By analyzing the results of numerical simulation of different climate clothing, some conclusions are obtained:firstly, the regularization method and Hooke-Jevees direct search method can be applied to solve the inverse problem of type determination for textile materials, meanwhile, numerical simulation shows the effectiveness of the algorithm and the rationality of the proposed inverse problem; secondly, the convergence of Hooke-Jevees direct search method can be influenced by the initial iterative value, this is to say, we will obtain the solution quickly if the initial iterative value is well chosen, otherwise, it will take much time to obtain the numerical solution or even divergence, so we can have the conclusion:the Hooke-Jevees direct search method is local convergence; thirdly, for the same environment and outer fabric, the inner (outer) fabric IP solution is strictly increased as the outer (inner) fabric thickness increased, meanwhile, for the same environment and thickness of the outer (inner) fabric, the inner (outer) fabric IP solution is strictly decreased as the outer (inner) fabric thermal conductivity increased. The above numerical results can not only use to predict and guide the experiments of textile material determination and clothing equipment determination scientifically, but also to provide theoretical support and scientific explanation for textile material determination.