纸张涂层研磨碳酸钙颜料渗吸特性的分形模型建立及修正

刘国栋 王晨曦 付思佳 高修安 李靖

摘要：本研究测量和表征了研磨碳酸钙（ GCC ）颜料渗吸性能，分析了 GCC 颜料渗吸特性与经典渗吸模型（ Lucas-Washburn 模型、Bosanquet 模型和纯惯性力模型）的内在关系。通过分形理论求解计算了 GCC 颜料的分形特征，从渗吸动力学和分形结构两方面建立了 GCC 颜料渗吸的分形模型，引入渗吸量修正因子和形状因子对分形模型进行进一步修正，修正后的渗吸分形模型完全匹配了 GCC 颜料全过程的渗吸特性。构建的渗吸模型为 GCC 颜料渗吸特性的预测和具有良好渗吸特性的颜料开发提供一定的技术支持。

关键词：研磨碳酸钙;渗吸特性;分形维数;渗吸模型

中图分类号：TS727+.3   文献标识码：A    DOI：10.11980/j. issn.0254-508X.2021.12.006

Establishment and Modification on Fractal Model of Imbibition Characteristics of Ground Calcium Carbonate Pigment for Paper Coating

LIU Guodong1，2，*   WANG Chenxi1，2   FU Sijia1，2   GAO Xiuan1，2   LI Jing1，2

（1. College ofBioresources Chemical and Materials Engineering，Shaanxi University of Science and Technology，Xian，Shaanxi Province，710021;2. National Demonstration Centerfor Experimental Light Chemistry Engineering Education，Key Lab of Functional Printing andTransport Packaging of China National Light Industry，Shaanxi Provincial Key Lab ofPapermaking Technology and Specialty PaperDevelopment，Key Lab ofPaper based Functional Materials of China National Light Industry，Xian，Shaanxi Province，710021）

（*E-mail ：liuguodong_group@aliyun. com）

Abstract ：The imbibition characteristics of ground calcium carbonate （ GCC ） pigment were investigated and characterized，and the internal relationship between the imbibition characteristics of GCC pigment and the classical imbibition models （ Lucas-Washburn，Bosanquet and in? ertial models） were analyzed in this study. The fractal characteristics of the GCC pigment were solved through the fractal theory . The fractal imbibition model of GCC pigment was established from two aspects of imbibition dynamics and fractal structure . The imbibition amount cor? rection factor and shape factor were introduced to further modified the fractal model . The modified imbibition fracture model completely matched the imbibition characteristics in the whole process of GCC pigments . Therefore，the established imbibition model provided tool sup ? ports to forecast the imbibition characteristics of GCC and to develop pigments with good imbibition characteristics .

Key words ：ground calcium carbonate;imbibition characteristics;fractal dimension;imbibition model

印刷流体在纸张涂层中的传输直接由涂层本身的吸收性能所决定。很多印刷质量问题，如墨斑、色彩的均匀性、洇色等都与纸基表面涂层材料的吸收特性有重要关系。印刷过程中，印刷流体（诸如油墨）在纸基表面的吸收基本上分为两个阶段，一种是外在印刷压力条件下的有压吸收，通常称为加压渗透[1];另一种是在没有外在压力情况下的吸收，或者是当印刷压力撤离后，印刷流体在纸面上的进一步吸收，通常称为毛细系统的自由渗吸，简称渗吸[2]。对于具有外在压力的加压渗透，印刷压力作为外力因素，在印刷过程中可以进行适当的调整及补偿，来修正压力不当对渗透产生的影响，进而确保图文信息在纸面的良好成像。而对于自由渗吸，其渗吸过程主要依靠纸基材料形成的多孔网络，且印刷过程中自由渗吸的持续时间比加压渗透的时间长很多[3]，更容易对印刷成像造成重要影响。……