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Modeling microgeometric structures of porous media with a predominant axis for predicting diffusive flow in capillaries
Authors:X. Zeng   C. Vasseur  F. Fayala
Affiliation:

a GEMTEX Laboratory, The ENSAIT Textile Institute, 9 rue de l'Ermitage, BP 30329, 59070, Roubaix Cedex 01, France

b Laboratoire d'Automatique I3D, Université des Sciences et Technologies de Lille, 59650, Villeneuve d'Ascq Cedex, France

c Laboratory of Fiber Textile Engineering, Ecole Nationale d’Ingénieurs, Monastir, Tunisia

Abstract:This paper presents a method for modeling microgeometric structures of porous media with a predominant using successive cross-sections. The proposed model takes into account the properties of diffusive flow in capillaries. In order to characterize uncertainty and imprecision occurring in geometric features of cross-sections, we introduce the concept of connection degrees as well as tracking degrees based on fuzzy theory. The proposed model can be used for classifying different types of media and finding the relationship between the geometric structure of a porous medium and its physical properties. This model has been successfully applied to polyester yarn structure.
Keywords:Modeling   Porous media   Predominant axis   Diffusive flow in capillaries   Microgeometric structure   Fuzzy theory   Cross-sections   Tracking degree   Connection degree
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