Smoothed Particle Hydrodynamics Modeling of Transverse Flow in Randomly Aligned Fibrous Porous Media |
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Authors: | Fangming Jiang Antonio C M Sousa |
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Institution: | (1) Electrochemical Engine Center (ECEC), Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USA;(2) Departamento de Engenharia Mecanica, Universidade de Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal;(3) Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, Canada, E3B 5A3 |
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Abstract: | The Lagrangian smoothed particle hydrodynamics (SPH) method is employed to obtain a meso-/micro-scopic pore-scale insight
into the transverse flow across the randomly aligned fibrous porous media in a 2D domain. Fluid is driven by an external body
force, and a square domain with periodic boundary conditions imposed at both the streamwise and transverse flow direction
is assumed. The porous matrix is established by randomly embedding a certain number of fibers in the square domain. Fibers
are represented by position-fixed SPH particles, which exert viscous forces upon, and contribute to the density variations
of, the nearby fluid particles. An additional repulsive force, similar in form to the 12-6 Lennard-Jones potential between
atoms, is introduced to consider the no-penetrating restraint prescribed by the solid pore structure. This force is initiated
from the fixed solid material particle and may act on its neighboring moving fluid particles. Fluid flow is visualized by
plotting the local velocity vector field; the meandering fluid flow around the porous microstructures always follow the paths
of least resistance. The simulated steady-state flow field is further used to calculate the macroscopic permeability. The
dimensionless permeability (normalized by the squared characteristic dimension of the fiber cross section) exhibits an exponential
dependence on the porosity within the intermediate porosity range, and the derived dimensionless permeability—porosity relation
is found to have only minor dependence on either the relative arrangement condition among fibers or the fiber cross section
(shape or area). |
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Keywords: | Permeability prediction SPH Fibrous porous media Numerical methods RTM |
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