Evaluation of Performance of Thermal Fibers and Heat Transfer Research based on Entropy Weight Method and Differential Equation

Based on the mathematical modeling method, this study constructed a comprehensive evaluation index system to objectively evaluate the performance of different warming fibers. First, we assigned weights to the indexes by the entropy weighting method, and then used the TOPSIS method to rank nine common warming fibers for comprehensive evaluation. Further, we established a heat conduction model of thermal fibers based on differential equations and thermodynamic knowledge and explored the effects of fiber length and diameter on thermal performance. Finally, we evaluated the warmth-keeping ability of cotton and feather threads from both axial and radial perspectives and found that feather thread fibers had better warmth-keeping performance through comprehensive data analysis. These methods provide useful references and suggestions for the evaluation of thermal fiber properties and material development.