Diffusion of an Acid Dye in a Multiple Porous Membrane Assembly

Author:

Sasaki H.1,Morikawa H.1

Affiliation:

1. Niigata Women's Junior College, Ebigase, Niigata-shi 950, Japan

Abstract

We have investigated the concentration distribution of an acid dye in a multiple porous cellulosic membrane. On the basis of the diffusional boundary layer model, we present the computational method of a concentration-dependent diffusion coefficient of dye in multiple layers. We have assumed that the relationship between the diffusion coefficient Df and the dye concentration C is of the form Df = Dfo exp(α C). The concentration-dependent diffusion coefficient estimated by the numerical method is in close agreement with that predicted by the pore model in a dye concentration range of about 1.0 to 2.2 × 10−2 mol/kg.

Publisher

SAGE Publications

Subject

Polymers and Plastics,Chemical Engineering (miscellaneous)

Reference14 articles.

1. Crank J. “The Mathematics of Diffusion,” 2nd ed., Clarendon Press, Oxford, England, 1979, pp. 105, 147.

2. INFLUENCE OF VARIOUS ELECTROLYTES ON DIFFUSION OF ORANGE II THROUGH LIQUIDS IN THE PORE OF CELLOPHANES AND IN THE BULK

3. DIFFUSION OF DYE MOLECULE IN POLYMER UNDER HIGH HYDROSTATIC PRESSURE

4. Jonson A., Jones F. “The Theory of Coloration of Textiles,” 2nd ed., Society of Dyers and Colourists, 1989, p. 406.

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