Abstract: In textile dyeing,using disperse dyestuff on synthetic fiber is one of the most important typical dyeing combinations.The mathematical model of this typical dyeing process was built by means of combining the existing dyeing theory and human experience through choosing the disperse dyestuff blue RSE on polyester as the representative.Firstly,three temperature-related dyeing characteristic models were built independently.Then,using the reaction rate equation,the three models were integrated to obtain the integrated model of dye uptake rate.During modeling,the grey Verhulst model,for its characteristics of less data and high accuracy,was used,so the integrated model had the advantages of being easy to determine parameters values and small amount of calculation.For the same type combinations of dye and fiber,the model could be equally applicable by changing the parameters values only.The experimental result showed that the integrated model had high accuracy and good generalization ability,and could meet the need for predicting dyeing result.

Key words: disperse dye, polyester, dyeing process, integrated model

摘要： 在纺织染色中,分散染料染合成纤维是比较重要的典型染色组合之一。通过对已有染色理论和人工经验的结合,以分散蓝RSE染涤纶为代表,建立分散染料染合成纤维的上染过程数学模型。在建模时,首先建立3个与温度有关的独立的上染特性模型,然后运用反应速率方程将已建立的3个模型集成起来,最终建立染料上染量-时间集成模型。在模型建立过程中,由于使用了具有少数据性和较高精确性特点的灰色Verhulst理论,从而使得集成模型中的参数值容易确定,计算量小。对于同类型的染料,改变参数值模型即可同样适用。上染过程建模实验表明,此数学模型有较高的精确度和很好的泛化能力,可以满足对染色结果进行预测的需要。

关键词: 分散染料, 涤纶, 上染过程, 集成模型