New mathematical model for determining time-dependent adsorption and diffusion of dyes into fibers through dye sorption curves in combination shades Part II: Kinetic data from dyeing cotton with a trichrome direct dye system

Time-dependent dye uptake of textile substrates can be described by a new m athematical model that divides the dyeing process into two parts, dye adsor ption and dye diffusion. Using this model, the influence of temperature (21 -80 degrees C) and NaCl concentration (2.5-10.0 g/L) on the dye uptake of a trichrome dye combination of C.I. Direct Blue 225, C.I. Direct Violet 47, and C.I. Direct Yellow 27 on cotton is determined from sorption curves obta ined by UV-VIS spectroscopy. This model can demonstrate differences in temp erature dependent dye uptake of the disordered inner and outer surfaces of the substrate and also displacement reactions that occur during dyeing.