1987
DOI: 10.2115/fiber.43.4_218
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Diffusion of disperse dye in porous membrane.

Abstract: The diffusion behavior of a disperse dye in a porous membrane was investigated. The surface concentration CB attained its equilibrium value C, only very slowly, varying with time according to the equation where CO is surface concentration at time t=0 and 8 is a constant, 1.387x10-Ss-1.The solution to the diffusion equation may be obtained by superposing the known solutions for the cases of constant surface concentration and time dependent surface concentration as given by Long and Richman. This gives for the c… Show more

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Cited by 3 publications
(3 citation statements)
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“…As far as non-ionic dyes on hydrophobic fibers are concerned, L is fixed by Eq. (2)11) (2) where D, is a diffusion coefficient of the dye in water, K is a partition coefficient, and SD is a thickness of the diffusional boundary layer.…”
Section: Time Dependence Of Surface Concentrationmentioning
confidence: 99%
“…As far as non-ionic dyes on hydrophobic fibers are concerned, L is fixed by Eq. (2)11) (2) where D, is a diffusion coefficient of the dye in water, K is a partition coefficient, and SD is a thickness of the diffusional boundary layer.…”
Section: Time Dependence Of Surface Concentrationmentioning
confidence: 99%
“…After the membranes were dyed, we measured the amount of dye adsorbed in the same way as in the diffusion experiment... In a previous paper [ 14 ] , we showed that the surface concentration of dye in a porous membrane assembly increased with dyeing time. Figure 4 shows the time dependence of the concentration distribution and the surface concentration: the distribution curve goes up with dyeing time.…”
mentioning
confidence: 99%
“…We measured the diffusion coefficient of water with the capillary method [13]. The boundary parameter and the estimated dye diffusion coefficient in the porous membrane assembly are summarized in Table Il. In the previous paper [ 14], we estimated the apparent diffusion coefficient in a porous membrane assembly without considering the diffusional boundary layer, which we have calculated here from Equation 3. We obtained an average value of 3.39 X 10-8 cm2/s: where Co is the surface concentration at time t = 0, 'Y is a constant, and 10 is the thickness of the slab.…”
mentioning
confidence: 99%