The values of diffusion coefficient of non-ionic dyes in nylon 6 and polyester film (D
f) were evaluated by analyzing the concentration profiles of the dyes in the films and the kinetic data of the film dyeing (or desorption from the film). For many cases, the values of D
f evaluated by the both method agreed well each other. However, when the dye having high affinity on nylon 6 film was desorped under an insufficient agitation, the values of D
f from the kinetic data sometimes appreciably smaller than the corresponding D
f from the profiles.
The values of boundary layer parameter (L) in the film dyeing were estimated by the curve fitting to the kinetic data of the dyeing by use of a relevant Newman's equation coupled with D
f determined from the profile.
The thickness of the diffusional boundary layer (δ
D), estimated from the value of L, decreased rapidly as the rate of agitation of the specimens in the bath was increased; i.e., the values of δ
D estimated at 40-90°C under the reciprocation (30mm) of the specimen of 0, 30, 80 and 146 strokes/min ranged 20-80, 5.9-18.5, 14-15 and 0.2-0.7×10
-3cm, respectively.
It was found that when the film dyeing carried out under the vigorous agitation, such as at the flow rate of 14.6cm/sec near the film surface, the resistance to the dye transport across the diffusional boundary layer gives little effect on the rate of the dyeing, in contrast to the dyeing of fabrics or yarns.
View full abstract