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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v5.i1.20
18 pages

Multilayer Three-Node Model of Convective Transport Within Cotton Fibrous Medium

Kamel Ghali
Beirut Arab University, Engineering College, Beirut, Lebanon
Byron Jones
Kansas State University, College of Engineering, Manhattan, Kansas 66506-5202

RÉSUMÉ

The air penetration within a porous clothing system on a moving human is an important physical process that considerably affects the heat and moisture resistance of the textile material. This effect of the coupled convection heat and mass exchange within the clothing system is experimentally investigated and theoretically modeled to predict the fabric regain, the fabric temperature, and the transient exit conditions of air penetrating the void space and the solid fiber. Experiments were conducted inside environmentally controlled chambers to measure the transient moisture uptake of untreated cotton fabric samples as well as the outer fabric temperature using an infrared pyrometer. The moisture uptake was conducted at three different volumetric flow rates of 0.0067, 0.018, and 0.045 m3/s/m2 of fabric area to represent air flow penetrations that could result from vigorous, medium, and slow walking, respectively. The theoretical analysis is based on a three-layer three-node adsorption model of the fibrous medium and air void. In each layer, the outer nodes represents the exposed surface of the "solid yarn" that is in direct contact with the penetrating air in the void space, and the inner node represents the inner portion of the solid yarn and is completely surrounded by the outer node at that layer. The penetrating air multilayer nodes are the links between the inner and outer layers. A set of six coupled differential equations were derived describing time-dependent convective heat and mass transfer between the penetrating air and the solid fiber in terms of relevant transport coefficients at each layer level. The outer heat and mass transfer coefficients were obtained from the single-layer two-node absorption model of Gali et al. (2000). The transport equations were solved numerically, for the regain and fabric nodes temperatures, using an explicit integration by the second-order Adams-Bashforth scheme. The increase in the air temperature predicted by the current model agreed well with the experimentally measured values.


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