A multi-scale simulation method for the prediction of edge wicking in multi-ply paperboard

Johnson Tomas; Mark Andreas; Nystrom Johan; Rief Stefan; Fredlund Mats; Rentzhog Maria; Nyman Ulf; Tryding Johan; Lai Ron; Martinssson Lars; Wester Kenneth; Edelvik Fredrik

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A multi-scale simulation method for the prediction of edge wicking in multi-ply paperboard

机译：多层纸板边缘芯吸预测的多尺度模拟方法

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When liquid packaging board is made aseptic in the filling machine the unsealed edges of the board are exposed to a mixture of water and hydrogen peroxide. A high level of liquid penetration may lead to aesthetic as well as functional defects. To be able to make a priori predictions of the edge wicking properties of a certain paperboard material is therefore of great interest to the paper industry as well as to packaging manufacturers. In this paper an extended multi-scale model of edge wicking in multi-ply paperboard is presented. The geometric and physical properties of the paperboard are modeled on the micro-scale, and include fillers and fines. The absolute air permeabilities and pore size distributions are validated with experimental and tomographic values. On the macro-scale random porosity and sizing distributions, time and sizing dependent contact angles, and inter-ply dependence are modeled. Arbitrary shapes of the paperboard are handled through an unstructured 3D surface mesh. Stationary and transient edge wicking simulations are validated against experiments with excellent agreement. The simulations show that the diffusive menisci between the liquid and air phases together with the two-ply model is necessary to achieve good agreement with the transient edge wicking experiments.

机译：当液体包装纸板在灌装机中制成无菌包装时，纸板的未密封边缘会暴露于水和过氧化氢的混合物中。高水平的液体渗透可能会导致美观以及功能缺陷。因此，能够对某种纸板材料的边缘芯吸特性进行先验预测是造纸业以及包装制造商的极大兴趣。本文提出了多层纸板边缘毛细作用的扩展多尺度模型。纸板的几何和物理特性是在微型模型上建模的，包括填料和细料。绝对空气渗透率和孔径分布已通过实验和层析成像值进行了验证。在宏观尺度上随机孔隙率和施胶分布上，对时间和施胶依赖的接触角以及层间依赖进行了建模。通过非结构化的3D表面网格处理纸板的任意形状。静态和瞬态边缘芯吸模拟经过实验验证，具有极好的一致性。仿真表明，液相和气相之间的扩散半月板以及两层模型对于与瞬态边缘芯吸实验取得良好的一致性是必要的。

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来源
《Nordic Pulp & Paper Research Journal》 |2015年第4期|640-650|共11页
作者
Johnson Tomas; Mark Andreas; Nystrom Johan; Rief Stefan; Fredlund Mats; Rentzhog Maria; Nyman Ulf; Tryding Johan; Lai Ron; Martinssson Lars; Wester Kenneth; Edelvik Fredrik;
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作者单位

Fraunhofer Chalmers Ctr, SE-41288 Gothenburg, Sweden;

Fraunhofer Chalmers Ctr, SE-41288 Gothenburg, Sweden;

Fraunhofer Chalmers Ctr, SE-41288 Gothenburg, Sweden;

Fraunhofer ITWM, D-67663 Kaiserslautern, Germany;

Stora Enso Packaging, SE-65009 Karlstad, Sweden;

Stora Enso Packaging, SE-65009 Karlstad, Sweden;

Tetra Pak Packaging Solut AB, SE-22186 Lund, Sweden;

Tetra Pak Packaging Solut AB, SE-22186 Lund, Sweden;

Akzo Nobel Pulp & Performance Chem AB, SE-44580 Bohus, Sweden;

Albany Int, SE-30180 Halmstad, Sweden;

Albany Int, SE-30180 Halmstad, Sweden;

Fraunhofer Chalmers Ctr, SE-41288 Gothenburg, Sweden;

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正文语种 eng
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关键词
Edge Wicking; Multi-Scale Simulation; Porous Flow; Immersed Boundary;

机译：边缘芯吸;多尺度模拟;多孔流;沉浸边界;

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专利

1. Modeling and simulation of paperboard edge wicking [J] . Andreas Mark, Johan Tryding, Junis Amini, Nordic Pulp & Paper Research Journal . 2012,第2期

机译：纸板边缘芯吸的建模与仿真
2. Impact of fiber structure on edge-wicking of highly-sized paperboard [J] . Xu Lebo, Meyers Jeremy, Hart Peter W. TAPPI Journal . 2018,第8期

机译：纤维结构对高尺寸纸板边缘芯面的影响
3. Impact of fiber structure on edge-wicking of highly-sized paperboard [J] . Lebo Xu, Jeremy Meyers, Peter W. Hart Paper 360° . 2018,第6期

机译：纤维结构对高尺寸纸板边缘芯面的影响
4. Curl Estimation in Multi-Ply Paperboard [C] . Gianantonio Bortolin, Per Olof Gutman, Bengt Nilsson 2005 TAPPI practical papermaking conference . 2005

机译：多层纸板中的卷曲估计
5. Multi-scale Finite Element Modeling of Multi-ply Woven Fabrics under Ballistic Impacts [D] . Palta, Emre 2019

机译：弹道冲击下多层机织织物的多尺度有限元建模
6. Data on the flexural vibration of thin plate with elastically restrained edges: Finite element method and wave based method simulations [O] . Ling Liu, Roberto Corradi, Francesco Ripamonti, 2020

机译：具有弹性束缚边缘薄板弯曲振动的数据：有限元方法与波的方法模拟
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A multi-scale simulation method for the prediction of edge wicking in multi-ply paperboard

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