Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

6 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1448-1473
Journal / PublicationSIAM Journal on Mathematical Analysis
Volume44
Issue number3
Publication statusPublished - 2012

Abstract

This paper is concerned with heat and moisture transport in three-dimensional porous textile media with complex phase change, condensation/evaporation, and absorption. The physical process is described as multiphase and multicomponent (air, vapor, water, and heat) flow governed by a system of nonlinear, degenerate, and strongly coupled parabolic equations. In this paper, we prove global existence of a positive weak solution under the physical assumption that the initial and background temperatures are not higher than about 1000K. © 2012 Society for Industrial and Applied Mathematics.

Research Area(s)

  • Absorption, Condensation/evaporation, Existence, Multicomponent, Porous media