Application of the lattice-Boltzmann method for simulating attachment of ink particles in paper
In this thesis the basic properties of the lattice- Boltzmann method (LBM) are introduced. Also, a particle model used in combination with LBM is presented, and the combined model is then applied to ink propagation in samples of paper. Simulation geometries were acquired with two different methods, namely confocal microscopy and X-ray tomography. The effect of simulation parameters and paper properties on ink propagation was considered. Promising results were acquired with both image acquiring techniques, but for a better consistency between simulations and experiments the methods should be combined so as to get images that include the full thickness of the sample together with the ink distribution. Adjustment of simulation parameters in confocal microscopy geometries showed that diffusion coefficient was the main parameter that explained the form of the ink distribution curves. This suggests an intuitively expected result: ink tends to move with the major flow channels unless diffusion is strong enough to separate enough of ink particles from the flow. Simulations done in samples of varying sizing gave incoherent results. One simulation series was in agreement with experimental results, while another was not. Possible explanations to this dilemma includes effects of paper heterogeneity on the results, differencies in paper properties in macroscopically different parts of the paper, and chemical effects not taken into consideration in the model. We can conclude however that simulations with the methods applied here qualitatively capture the main features of the settling in paper. In part this conclusion is based in the fact that the experimentally observed division into two separate components in the distribution of attached ink pigments was also realised in the simulations. ...
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Hyväluoma, Jari (University of Jyväskylä, 2006)
Computational modeling of protein diffusion in the cell nucleus using the lattice-Boltzmann method Filippovych, Kateryna (2012)The number of fluorescence applications and methods of analysis is growing in the biological and related sciences. The aim of this work was to accurately determine the diffusion coefficient in nucleus, diffusion in the ...
Mattila, Keijo; Hegele, Luiz A.; Philippi, Paulo C. (American Physical Society, 2015)The lattice-Boltzmann (LB) method is commonly used for the simulation of fluid flows at the hydrodynamic level of description. Due to its kinetic theory origins, the standard LB schemes carry more degrees of freedom than ...
Aaltosalmi, Urpo (University of Jyväskylä, 2005)
Mattila, Keijo; Philippi, Paulo C.; Hegele, Luiz A. (American Institute of Physics, 2017)A lattice-Boltzmann equation (LBE) is the discrete counterpart of a continuous kinetic model. It can be derived using a Hermite polynomial expansion for the velocity distribution function. Since LBEs are characterized ...