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

Abstract

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. existence of solution

Heat and sweat transport in fibrous media with radiation

“…Some earlier works can be found in [6,26] with relative simple models. More precise models have been described recently by many authors as single-component compressible fluid flows [9,12,23,24], multi-component compressible fluid flows [15,34,35] or incompressible fluid flows [1,5,31] through porous textile media. In these models, the air/vapour gas mixture moves through the porous textile media by convection and diffusion, which are induced by pressure and concentration gradients.…”

“…The heat and sweat transport in fibrous porous media has attracted much attention in the last decades due to its applications in modern textile industry [4,8,11,13,15,17,18,23,26,27,[33][34][35]. A typical application is a clothing assembly, consisting of a thick porous fibrous batting sandwiched in two thin cover fabrics.…”

A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media

“…Single/multicomponent flow in porous textile media attracted considerable attention in the last several decades. See [1][2][3][4] for the single-component models and [5][6][7][8][9] for the multicomponent models. In this paper, we study the multicomponent sweat transport coupled with vapor and heat in porous textile media.…”

Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials

“…Numerical methods and simulations for heat and moisture transport in porous textile materials have been studied by many authors [4,10,12,14,16,28]. In [10], a classical finite difference method is applied for solving a single-component multiphase model with a thermal radiation in one-dimensional space, where the thermal radiation equation was solved analytically.…”