Joint distribution of local porosity and local tortuosity in sack paper, 19PaperCon
The porosity of paper is a crucial quantity for most applications. Correspondingly, it is highly desirable to study to which extent the porosity of paper influences strongly related properties such as the air permeance, which is one of the key properties of sack paper. In this article, we investigate the local variability of porosity in sack paper as well as the joint distribution of local porosity and local mean geodesic tortuosity. The latter one is an important microstructure characteristic for air permeance since it is a measure for the sinuosity of transport paths through the pore space. For this investigation, we statistically analyze the 3D porous microstructure of sack paper based on tomographic 3D imaging. The values of local porosity and local mean geodesic tortuosity of multiple, non-overlapping cutouts of the considered sample are determined to obtain a distribution of these quantities. Our analysis clearly shows a negative correlation between local porosity and tortuosity. Using a copula approach, we model the joint probability distribution of local porosity and local mean geodesic tortuosity. This model quantifies the porosity-tortuosity correlation and allows, e.g., for a prediction of the conditional distribution of local mean geodesic tortuosities for a given value of local porosity.
TAPPI conference proceedings and presentations, technical papers, and publication articles provide technical and management data and solutions on topics covering the Pulp, Paper, Tissue, Corrugated Packaging, Flexible Packaging, Nanotechnology and Converting Industries.
Simply select the quantity, add to your cart and your conference paper, presentation or article will be available for immediate download.
Joint distribution of local porosity and local tortuosity in sack paper, 19PaperCon