Computer Simulation of 3-D Finite-Volume Liquid Transport in Fibrous Materials: a Physical Model for Ink Seepage into Paper

TL;DR

This paper presents a physical simulation model for ink seepage into paper at the mesoscopic scale, incorporating finite-volume constraints and dynamic seepage, using a modified Ising model and genetic algorithm.

Contribution

It introduces a novel physical model that simulates ink distribution in paper considering finite volume and dynamic seepage at the mesoscopic level.

Findings

Successfully simulates finite-volume ink distribution

Uses a modified genetic algorithm for optimization

Incorporates new boundary conditions and techniques

Abstract

A physical model for the simulation ink/paper interaction at the mesoscopic scale is developed. It is based on the modified Ising model, and is generalized to consider the restriction of the finite-volume of ink and also its dynamic seepage. This allows the model to obtain the ink distribution within the paper volume. At the mesoscopic scale, the paper is modeled using a discretized fiber structure. The ink distribution is obtained by solving its equivalent optimization problem, which is solved using a modified genetic algorithm, along with a new boundary condition and the quasi-linear technique. The model is able to simulate the finite-volume distribution of ink.