Washing of Fabrics
| Autor: | Shigenori Fukuoka, Hirohito Matsui, Kazuo Moriyama |
|---|---|
| Rok vydání: | 1981 |
| Předmět: | |
| Zdroj: | Journal of the Textile Machinery Society of Japan. 27:89-97 |
| ISSN: | 1881-1159 0040-5043 |
| DOI: | 10.4188/jte1955.27.89 |
| Popis: | When a chemical is washed off from a fiber assembly such as cloth or a yarn, it migrates in the fiber and the water phase in a fiber assembly, and subsequently moves to water.In such a process the diffusion coefficient of a chemical in a fiber differs largely from that in water. This was analyzed on the basis of a diffusion theory. Assuming that a single fiber is a column and a fiber assembly is a column or a plane board, the following theoretical relations, representing residual ratio of a chemical in a fiber assembly during washing, were obtained: y(t)=∑ ∑ Aij exp(-Dfμij2/R2t) where t; washing time, sec y(t); residual ratio of a chemical in a fiber assembly Df; ; diffusion coefficient of a chemical in a fiber, cm2/sec R; radius of a fiber, cm Aij; ={2Qi/(1+α)β2μij; 2}2 1/1+α/1+α J1; 2(μij; )/J0; 2(μij; ) …… (column) Aij; =1/2{2Qi/(1+α)β2μij; 2}2 1/1+α/1+α J1; 2(μij; )/J0; 2(μij; ) …… (plane board) Qi; ; root of J0; (Qi; )=0 (column) root of cos(Qi; )=0 (plane board) μij; ; root of Qi; =βμij√1+α 2J1; (μij)/μijJ0; (μij)/μijJ0; (μij) J0; Ji; ; Bessel functions of the 0th and the 1st order α, β: constants depending on the diffusion coefficient of a chemical in a fiber and in water, geometrical characteristics of a fiber assembly and so on.The values calculated theoretically by using the above equations agree well with experimental values, and are very close to the results obtained by the simplified equation already reported. |
| Databáze: | OpenAIRE |
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