In this paper, we use the thermodynamics knowledge to establish the mathematical model in order to study the thermal insulation effect of the special operation clothing composed of three layers’ insulation materials in the laboratory environment, and calculate the temperature change outside the mannequins’ skin with time. Firstly, according to the Fourier test law, a one-dimensional segmental heat conduction equation for the temperature function u(x,t) is established. Simpli-fied the heat conduction equation by the finite difference method, the finite difference equations are obtained to approximate the numerical solution of the original heat conduction equation. Secondly, when the thickness of the second layer is uncertain, combined with the established heat conduction equation, the optimal thickness is calculated by the dichotomy method. Finally, the sensitivity analysis is performed to verify the stability of the model, and the optimal thickness of the two layers is determined when the thicknesses of the second and fourth layers are both uncertain.
Advances in Applied Mathematics