The mathematical expression of rate constants in empirical rate of dyeing equations in disperse dyeing
The mathematical expression of rate constants in empirical rate of dyeing equations in disperse dyeing
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分散染色染色经验方程中速率常数的数学表达式
DOI：
10.1111/j.1478-4408.1988.tb01132.x
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
T. Shibusawa
中科院分区：
文献类型：
--
作者：
T. Shibusawa
本文用统计曲线拟合的方法，阐明了染色速率经验方程中速率常数与染料在纤维中扩散系数的关系，并在Mt/M∞为0 ~ 0.8范围内，将由Wilson和纽曼的理论方程计算的染色速率曲线与由经验方程计算的染色速率曲线进行了比较。比较发现，许多经验方程是适合于描述的染色速率时，有一个延迟的染料吸附在早期阶段，其中之一是有用的，用于确定染色速率时，有快速的染料吸附在初始阶段。这些经验方程很好地符合实际染色的事实，可以解释的吸附延迟所造成的停滞溶液层周围的纤维。
The relationship between the rate constants in empirical rate of dyeing equations and the diffusion coefficient of dye in the fibre have been clarified by means of a statistical curve fitting method, where the rate of dyeing curves calculated from the theoretical equations (those of Wilson and Newman) have been compared with those from the empirical equations in the range Mt/M∞ from zero to about 0.8. The comparisons revealed that many of the empirical equations are suitable for describing the dyeing rate when there is a delay of dye sorption in the early stages, and one of them is useful for determining the dyeing rate when there is rapid dye sorption at the initial stages. The fact that these empirical equations fit well to practical dyeing can be explained in terms of the sorption delay caused by the stagnant solution layer surrounding the fibres.