Study on the relationship between thermal conductivity of plain weave fabrics and thermal conductivity of single fibers based on differential equations and goal planning models

Abstract

Fabrics with high thermal insulation capacity have very common applications in aerospace direction. In order to obtain the relationship between the overall thermal conductivity of the fabric and the thermal conductivity of a single fiber, and then through the optimization of various parameters of the fabric, to obtain the fabric with stronger heat insulation ability, this paper considers the fiber heat transfer and the gas heat transfer, the fiber heat transfer and the gas heat transfer as a parallel model, and considers the influence of the difference between the volume of the fibers and the volume of the air on the overall heat transfer effect in the entire heat transfer process, and takes the ratio of the volume of the fibers and the ratio of the air The proportion of fiber volume and the proportion of air volume are taken as the weight influence factors in the parallel model, and the mathematical model of the relationship between the overall thermal conductivity of plain fabric and the thermal conductivity of single fiber is established. Then the objective planning model is established, and the optimization algorithm is used to solve the problem, so as to obtain the minimum thermal conductivity of a single fiber and the corresponding structural parameters.