Disordered structure of filament textured yarn

Texturing is a process during which the originally lined up filaments were turned into a relatively messed structure with certain stability.The arrangement of filaments in a textured yarn,therefore,can be defined as the disordered structure,which is one of the primary structural features of the textured yarn as well as an ideal explanation to many physical phenomena.Its mathematical model can be observed from the standpoint of entropy changing,and finally shown as a relationship between the disordering property of a filament segment in a linear object and its bulk in space,as well as a density function of the filament segment dispersion in a 3-D coordinate system.The relative disordering degree,relative entropy changing value and bulk index of the textured yarn are all important parameters,they can be calculated when some items such as the linear density,appearance diameter of the textured yarn were measured.