Textile porosity determination based on a nonlinear heat and moisture transfer model

Abstract

The inverse problems of textile materials design on heat and moisture transfer properties are important and indispensable in applications in the body-clothing-environment system. We present an inverse problem of textile porosity determination (IPTPD) based on a nonlinear heat and moisture transfer model. Adopting the idea of the least-squares, the mathematical formulation of IPTPD is deduced to a regularized optimization problem with collocation method applied. The continuity of the regularized minimization problem is proved. By means of genetic algorithm (GA), the approximate solution of the IPTPD is numerically obtained. To reduce the computational cost, an improved algorithm based on BP neural network with GA is proposed in the numerical simulation. Compared with the direct GA searching, the computational cost is greatly reduced, which presents a similar result.

Keywords:

• Inverse problems
• thermal conductivity
• heat and moisture transfer
• genetic algorithm

AMS Subject Classifications:

• 35R30
• 35K51
• 65M32
• 80A20

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research is supported by Scientific Research Foundation of Zhejiang Provincial Education Department [grant number Y201534157]; Science Research Foundation of Zhejiang Medical College [grant number 2014XZA01], also partially supported by National Natural Science Foundation of China [grant number 11471287], [grant number 11071221].