基于概率密度函数的织物染色侵入动力学分析  

Analysis of fabric dyeing intrusion kinetics based on probability density function

作　　者：姜绍华 梁帅童[1,2] 裴刘军 张红娟 王际平 JIANG Shaohua;LIANG Shuaitong;PEI Liujun;ZHANG Hongjuan;WANG Jiping(School of Textiles and Fashion,Shanghai University of Engineering Science,Shanghai201620,China;Shanghai Engineering Research Center of Textile Chemistry and Clean Production,Shanghai201620,China)

机构地区：[1]上海工程技术大学纺织服装学院,上海201620 [2]上海市纺织化学清洁生产工程技术研究中心,上海201620

出　　处：《纺织学报》2023年第10期90-97,共8页Journal of Textile Research

基　　金：国家自然科学基金项目(22108169,22072089);上海市青年科技英才扬帆计划(21YF1416000);新疆生产建设兵团重点研发计划项目(2019AA001)。

摘　　要：为预测染色过程中初始阶段染液侵入织物的流体流动和化学反应过程,以棉织物染色过程为例,建立了包含界面效应的纤维密度函数和哈根-泊肃叶方程,构建了织物润湿阶段的染色动力学和传质模型,模拟了染液侵入织物的染色过程,并通过实验进行了模型验证。结果表明:染液在织物中的流动主要是表面张力的作用,在重力的影响下,染液在织物中的流速随着上升高度逐渐减小,表面张力增大,织物内染液流速也会随之增大;纤维体积分数的增大会导致织物的毛细流动更快地达到平衡状态,从而使染液的扩散时间变短,织物染液浓度降低;染液与纤维之间接触角的变化会影响纤维的润湿性,接触角越大,织物的疏水性越好,染液越难以附着在织物表面,导致织物内染液浓度降低;流体的黏度越大,织物内染液流速越小,染液扩散速率越低。Objective Dyeing is a very complex process with many variables in which different phenomena occur simultaneously.In order to further understand the fluid flow and chemical reaction process of dye solution infiltrating into fabrics during the initial stage of dyeing,and to study the effects of physical properties of fabric and dye solution on fluid flow and dye concentration during the dyeing process,a relevant mathematical model has been developed and experimentally validated to ensure its accuracy.Method The fiber orientation probability density function was established as a mathematical model for the inter-fiber capillary radius.The Stokes-Einstein equation defined the effective diffusion rate of dye molecules in the fluid.By deriving a kinetic model for fluid flow and material exchange in the fabric by combining the Hagen-Poiseuille equation,the mathematical and kinetic models were validated by dyeing cotton fabric samples in a Reactive Red 195 dye solution at a concentration of 0.03 g/L,a temperature of 40℃,and a dyeing time of 15 minutes.Results The actual flow rate of the dyeing solution flow in the fabric was measured by percolation dyeing experiments to verify the accuracy of the capillary flow model constructed.Comparison between the flow rate predicted by equation with the actual flow rate revealed that the predicted flow rate and the actual flow rate were basically matched.Datacolor 800 spectrophotometer was used to measure the K/S values of the sample fabrics at the end of the dyeing experiment.The K/S values were normalized the predicted concentrations for comparison.The results showed that the predicted concentrations were in general agreement with the actual concentrations.These results validated the model used in this work,breaking down the critical phenomena and stages of the dyeing process,such as diffusion and adsorption.The numerical simulation results showed that as the fiber volume fraction increases,the capillary flow rate within the fabric decreases and the rise height of the dyeing solu

关 键 词：染色 染料浓度 概率密度函数 毛细流动 织物结构 染色动力学 

分 类 号：TS101.3[轻工技术与工程—纺织工程]