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

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

关键词:  研磨碳酸钙  渗吸特性  分形维数  渗吸模型

Key Words:ground calcium carbonate  imbibition characteristics  fractal dimension  imbibition model

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。

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 inertial 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 correction 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 supports to forecast the imbibition characteristics of GCC and to develop pigments with good imbibition characteristics.