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Heat transfer through woven textiles
Authors:Debarati Bhattacharjee  VK Kothari
Affiliation:1. Center for Composite Materials, University of Delaware, Newark, United States;2. Department of Mechanical Engineering, University of Delaware, Newark, United States;3. Department of Electrical and Computer Engineering, University of Delaware, Newark, United States;1. Department of Mathematics, College of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, PR China;2. School of Sciences and Arts, Zhejiang Sci-Tech University, Hangzhou 311121, PR China;3. Zhejiang College, Tongji University, Jiaxing 314000, PR China;1. College of Fashion and Design, Donghua University, 200051, Shanghai, China;2. Empa, Swiss Federal Laboratories for Materials Science and Technology, Laboratory for Biomimetic Membranes and Textiles, CH-9014, St. Gallen, Switzerland;3. Key Laboratory of Clothing Design and Technology, Donghua University, Ministry of Education, 200051, Shanghai, China;4. Tongji University Shanghai Institute of Design and Innovation, Shanghai 200092, China;1. CEFT, Transport Phenomena Research Center, Chemical Engineering Department, Engineering Faculty of Porto University, Rua Roberto Frias, 4200-465 Porto, Portugal;2. Empa, Swiss Federal Laboratories for Materials Science and Technology, Lerchenfeldstrasse 5, 9014 St. Gallen, Switzerland;1. Mechanical Engineering Department, American University of Beirut, P.O. Box 11-0236, Beirut, 1107-2020, Lebanon;2. Mechanical Engineering Department, Rafic Hariri University, P.O. Box 10, Damour-Chouf, 2010, Lebanon
Abstract:A mathematical model based on the principles of heat transfer to predict the thermal resistance of fabrics has been presented in this paper. The woven fabric is considered as a system of porous yarns, interlacements between warp and weft yarns and air pores and all the basic weaves can be depicted by this system. The conduction and radiation heat transfer together, was calculated based on the construction parameters of the fabric. The thermal insulation, which is equivalent to the thermal resistance, was predicted with the help of these parameters. The total heat transfer by conduction through each part was calculated using Fourier’s equation. Radiation heat transfer through the air pore was calculated with the help of net radiation method. Linear anisotropic scattering was used to model the radiation heat transfer through fibrous media. The total thermal resistance obtained was validated with actual values obtained from a standard thermal resistance measuring instrument.
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