FLOWS WITH INERTIA IN A THREE-DIMENSIONAL RANDOM FIBER NETWORK |
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| Authors: | Xiaoying Rong Guowei He Dewei Qi |
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| Affiliation: |
a Department of Paper Engineering, Chemical Engineering and Imaging, Western Michigan University, Kalamazoo, Michigan
b Laboratory for Nonlinear Mechanics, Institute of Mechanics, China Academy of Science, Beijing, China |
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| Abstract: | A fiber web is modeled as a three-dimensional random cylindrical fiber network. Nonlinear behavior of fluid flowing through the fiber network is numerically simulated by using the lattice Boltzmann (LB) method. A nonlinear relationship between the friction factor and the modified Reynolds number is clearly observed and analyzed by using the Fochheimer equation, which includes the quadratic term of velocity. We obtain a transition from linear to nonlinear region when the Reynolds numbers are sufficiently high, reflecting the inertial effect of the flows. The simulated permeability of such fiber network has relatively good agreement with the experimental results and finite element simulations. |
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| Keywords: | Fiber network Flow Fochheimer equation Three-dimensional lattice Boltzmann method |
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