ABSTRACT

In natural fiber fabrics such as cotton fabric, bleeding and dye transfer in household washing have always been a concern. Due to the complex fabric structure and the closed washing process, a dynamic model for predicting the concentration of bleed dyes and soils in the fabric is lacking. This study uses the fiber orientation probability density function based on the fiber radius and the fiber volume fraction to build a capillary flow model of the fabric’s dye concentration. The numerical results were calculated by taking the hydrolyzed reactive black 5 solutions in the cotton fabric. The calculation matches the experimental results well. Numerical results show that the fabric’s washing time should be appropriately reduced to inhibit the dye transfer. Also, reducing the surface tension will result in a lower soil concentration. Increasing the fabric washing system’s viscosity is another way to slow down the hydrolyzed dyes into the fabric. More discussions about different soils with complex boundary conditions and fabric structures will be conducted in the future.

摘要

在棉织物等天然纤维织物中，家庭洗涤中的渗色和染料转移一直是人们关注的问题。由于织物结构复杂，水洗过程封闭，缺乏预测织物中渗色染料和污垢浓度的动态模型。本研究使用基于纤维半径和纤维体积分数的纤维取向概率密度函数来构建织物染料浓度的毛细管流动模型。通过在棉织物中取水解活性黑5溶液计算数值结果。计算结果与实验结果吻合良好。数值结果表明，应适当减少织物的洗涤时间，以抑制染料转移。此外，降低表面张力将导致较低的土壤浓度。增加织物洗涤系统的粘度是另一种减缓水解染料进入织物的方法。未来将进一步讨论具有复杂边界条件和织物结构的不同土壤。