Impregnation of Woven Fabrics from Chemical Yarns during Formation of Composite Textile Materials

A composite textile material is a material consisting of two or more components formed by textile technologies into a unified structure with physicomechanical properties that differ from the properties of the components. Theoretical and experimental investigations were carried out, and a complex mathematical model was developed for the kinetics of impregnation of textile materials with aqueous dispersions and solutions of polymeric binders with various compositions. This made it possible to determine rational regimes for the formation of composite textile materials in relation to their geometric characteristics and also to the physicochemical characteristics of the binder.

Appendix

$$ h=\sqrt{\frac{\left(58.1+0.04c-0.5t\right)\cdot \cos \left(21.0+0.03c-0.2t\right)S\uptau}{\left(1.51-0.004c-0.024t\right)P}}, $$

(8)

$$ \frac{dh}{d\uptau}=\frac{1}{2}\sqrt{\frac{\left(58.1+0.054c-0.5t\right)\cdot \cos \left(21.0+0.03-0.2t\right)\cdot S}{\left(1.54-0.004c-0.024t\right)P}}\cdot {\uptau}^{-1/2}. $$

(9)

$$ h=\sqrt{8{d}^2\frac{\left(1-{P}_R\right)}{P_R}\cdot \frac{1}{d_{\mathrm{f}}}\cdot \frac{\left(58.1+0.054-0.5t\right)\cdot \cos \left(21.0+0.03-0.2t\right)}{1.54-0.004c-0.024t}}\cdot \uptau, $$

(10)

$$ \frac{dh}{d\uptau}=\frac{1}{2}\sqrt{8{d}^2\frac{\left(1-{P}_R\right)}{P_R}\cdot \frac{1}{d_{\mathrm{f}}}\cdot \frac{\left(58.1+0.054-0.5t\right)\cdot \cos \left(21.0+0.03-0.2t\right)}{1.54-0.004c-0.024t}}\cdot {\uptau}^{-1/2}. $$

(11)