Heat and sweat transport through clothing assemblies with phase changes, condensation/evaporation and absorption

Qian Zhang, Buyang Li, Weiwei Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


The paper is concerned with the heat and sweat transport in porous textile media with complex phase changes, which is described as a non-isothermal, multi-phase and multicomponent fluid flow and governed by a nonlinear, degenerate and strongly coupled parabolic system. The phase change, condensation/evaporation and fibre absorption, play an important role in the design of functional clothing. In this paper, we present some more precise formulations on condensation/evaporation, fibre absorption and heat capacity to maintain the physical conservation of mass and energy. A typical clothing assembly with a hydrophobic batting material and two different types of cover is investigated numerically. Numerical results show that for the hydrophobic material, the evaporation and condensation zones arise simultaneously in the batting area and that the proposed formulations are more realistic to describe the phase change. Existence and uniqueness of a classical positive solution for the incompressible model are also proved.
Original languageEnglish
Pages (from-to)3469-3489
Number of pages21
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2136
Publication statusPublished - 8 Dec 2011
Externally publishedYes


  • Absorption
  • Condensation/evaporation
  • Existence of solution
  • Heat and sweat transport

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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