Commun. Comput. Phys.,
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Volume 4.


Numerical Study of Heat and Moisture Transfer in Textile Materials by a Finite Volume Method

C. Ye 1, H. Huang 2, J. Fan 3, W. Sun 1*

1 Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong.
2 Department of Mathematics and Statistics, York University, Toronto, Ontario M3J 1P3, Canada.
3 Institute of Textiles and Clothing, Hong Kong Polytechnic University, Hong Kong.

Received 28 September 2007; Accepted (in revised version) 6 February 2008
Available online 4 June 2008

Abstract

This paper focuses on the numerical study of heat and moisture transfer in clothing assemblies, based on a multi-component and multiphase flow model which includes heat/moisture convection and conduction/diffusion as well as phase change. A splitting semi-implicit finite volume method is proposed for solving a set of nonlinear convection-diffusion-reaction equations, in which the calculation of liquid water content absorbed by fiber is decoupled from the rest of the computation. The method maintains the conservation of air, vapor and heat flux (energy). Four types of clothing assemblies are investigated and comparison with experimental measurements are also presented.

AMS subject classifications: 78M20, 65N22, 65N06

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Key words: Fibrous porous medium, multi-component flow, clothing assemblies, finite volume method, condensation

*Corresponding author.
Email: hhuang@yorku.ca (H. Huang), tcfanjt@inet.polyu.edu.hk (J. Fan), maweiw@math.cityu.edu.hk (W. Sun)
 

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