A numerical study of air-vapor-heat transport through textile materials with a moving interface

Authors:
Q. Zhang;W. Sun
Affiliations:
School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, China and Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China;Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

This paper focuses on the numerical study of heat and moisture transfer in clothing assemblies, which is described by a multi-component and multiphase air-vapor-heat flow with a moving interface. A splitting semi-implicit finite volume method is applied for the system of nonlinear parabolic equations and an implicit Euler scheme is used for the interface equation. In terms of classical Dirichlet to Neumann map, the implicit system can be solved directly and no iteration is needed. Two types of clothing assemblies are investigated and the comparison with experimental measurements is also presented.