Capillary Flow in Cotton Fabric Based on Fiber Orientation Probability Density Function

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

天然纤维织物, 如棉织物, 在家用洗涤中的颜色渗出和染料转移,一直是人们关注的问题.但是由于复杂的织物结构和封闭的洗涤过程, 缺乏预测织物中渗出染料和污渍浓度的动力学模型. 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, 建立了织物染料浓度的毛细流动模型。以棉织物中水解的活性黑五的溶液为例, 对数值结果进行了计算. 计算结果与实验结果吻合较好. 数值结果表明, 为了抑制染料转移, 织物的洗涤时间应适当缩短. 此外, 降低表面张力将导致织物内的污渍和物质的浓度降低. 增加织物洗涤系统的粘度是减缓水解染料进入织物的另一种方法. 未来将对具有复杂边界条件和织物构结构的不同污渍的流动过程进行更多讨论.

关键词:

• 染料转移
• 毛细管流动
• 棉织物
• 浓度预测
• 织物结构
• 流体性质

KEYWORDS:

• Dye transfer
• capillary flow
• cotton fabric
• concentration prediction
• fabric structure
• fluid properties

Acknowledgments

The authors would like to acknowledge the financial support from Opening Project of Key Laboratory of Clean Dyeing and Finishing Technology of Zhejiang Province (QJRZ1901). Liang S.T. would like to thank Dr. Jiang Zan of the home cleaning solution provider Blue Moon® for enlightening the research by discussion.

Disclosure statement

No potential conflict of interest was reported by the author(s).