Inverse problems of textile material design based on clothing heat-moisture comfort

Abstract

Research on inverse problems of textile material design, which are motivated from functional clothing industry, is an inspiring and promising research field in the inverse problems family. It is important to reveal heat and moisture transfer characteristics in the system of human body-clothing-environment, which directly determines clothing heat-moisture comfort level. We present a comprehensive description on the mixed problems for coupled partial differential equations (in abbreviation, Direct Problems) based on dynamic heat and moisture transfer law with condensation in porous fabric. More importantly, we mathematically formulate novel inverse problems of textile material determination (in abbreviation, IPTMD) based on heat-moisture comfort indexes. The unique existence for the direct problems and numerical algorithms for IPTMD is reviewed. The further research topics are concluded to promote more fruitful achievements in the research of IPTMD in the near future.

Keywords:

• inverse problems
• coupled partial differential equations
• well-posedness
• regularized algorithm
• numerical solution
• functional textiles

AMS Subject Classifications:

• 35R30
• 35K51
• 65M32
• 80A20

Notes

This work is supported by the National Natural Science Foundation of China [grant number 11071221] and Natural Science Foundation of Zhejiang Province [grant number LQ12A01024].