Author(s)

Muzi Li

Corresponding Author

Muzi Li

Abstract

When working in high temperatures, people need to wear special garments to avoid burns. Special garments usually consist of three layers of fabric material, denoted as layers I, II and III. Layer I is in contact with the external environment. There is a gap between layer III and the skin, which is classified as layer IV. In order to design special garments, the dummy with body temperature controlled at 37 ° C was placed in a high temperature laboratory environment to measure the outer skin temperature of the dummy. In order to reduce the research and development cost and shorten its cycle, this paper uses mathematical model to determine the temperature change of the outer skin of the dummy. At first, experiments were carried out with ambient temperature of 75 ° C, 6 mm thickness of layer II, 5 mm thickness of layer IV, and 90 minutes working time so that the temperature on the outer skin was measured. Then Establishing a one-dimensional steady-state Fourier differential equation mathematical model, importing the data into MATLAB to get the temperature distribution and setting up a 3D schematic diagram. Partial least squares regression method was used to determine the optimal thickness of the II and IV layers when the ambient temperature was 80 which can guarantee the outer skin temperature of the dummy was no more than 47 ° C for 30 minutes, and no more than 5 minutes for more than 44 ° C, so as to meet the requirements of high temperature protective garments.

Keywords

High temperature protective garments; Fourier differential equations; least squares; MATLAB