Abstract
This theoretical work describes pores between fibers in general fiber assemblies. The basic idea is to treat the pores between fibers—under certain assumptions—as air fibers surrounded by fictional borders. Different pore characteristics are formulated from basic definitions of fiber assemblies. It is possible to find alternative theoretical definitions for pores of any shape by introducing the so-called fictive pore borders. Four different definitions of pores—conventional pores, pores with a constant shape factor, pores with a constant length, and generalized pores—are mathematically derived based on the geometric structural characteristics of any fiber assembly such as packing density, equiv alent pore diameter, pore length, and other variables. The well-known Hagen-Poiseuille law of flow and the Carmen-Kozeny equation are discussed in the course of deriving equations. Possible applications of these derived equations in the fields of capillarity phenomenon, fluid flow, and filtration are introduced.
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