A space-fractional heat-moisture transfer model and textile parameter determination problems
报 告 人:: 徐定华
报告地点:: 数学与统计学院6楼大应用数学实验室
报告时间:: 2018年05月29日星期二10:00-11:00
报告简介:

Textile material design is of paramount important in the study offunctional clothing design. It is therefore important to reveal heatand moisture transfer characteristics in the system of humanbody-clothing-environment, which directly determinethermalcomfort/safety level of human body. Based on the parabolic model ofdynamic heat and moisture transfer with condensationin porous fabric under low temperature, we present inverseproblems of textile parameters determination (IPTPD), including thickness, thermal conductivity and porosity determination. Moreover we mathematically formulate a new space-fractional parabolic model of heat-moisture transfer within thermal protective clothing under high environmental temperature-humidity, and the corresponding inverse problems of textile material design are put forward.

Adopting the idea of regularizationapproaches,we formulate the IPTPDinto functionminimization problems. Developing efficient numerical methods for coupled PDEs, sideways parabolic problems and direct search methods for optimization problems, we construct iterative algorithms of approximated solution for the IPTPD. Theoretical study and numerical simulation results validatethe formulation of the IPTPD and demonstrate effectiveness ofthe proposed numericalalgorithms.

 

举办单位:数学与统计学院
发 布 人:吴双 发布时间: 2018-05-16
主讲人简介:
徐定华,浙江理工大学理学院二级教授,上海财经大学数学学院教授、博士生导师、教授委员会主任。现任教育部高校数学类专业教学指导委员会委员、中国数学学会高等教育工作委员会委员。研究方向:应用与计算数学,主要开展偏微分方程反问题理论、计算及其应用研究。曾任高校教务处长、研究生部主任、学院院长。曾评为全国优秀教师、省教学名师。东北师范大学大应用数学实验室邀请报告人。