Smart Fabric Thermal Conductivity Modeling

The paper proposes an approach to constructing a mathematical model of the smart fabric thermal conductivity, which are integrated with modern electronic devices, information technologies and new materials. The initial and boundary conditions for the heat equation are described, which simulate various conditions at the fabric boundary, as well as between its layers, and on the basis of which a unique solution is found for the heat conduction problem. It is shown that the average temperature of the fabric can be determined as an integral characteristic over the entire surface. The solution to the boundary value problem on the temperature distribution is obtained numerically on the basis of finite-difference schemes. The results of the experimental values of temperatures agree with the calculated values with an error of no more than 7%. The paper is the basis for solving the problem of thermal conductivity for smart fabric.