Abstract
A cellular automata (CA) approach is proposed for simulating a fluid flow through the porous material with tortuous channels and different wetting properties of pore walls. The approach aims to combine CA methods both for construction the structure of porous material model and to simulate the fluid flow through it. It is shown that any kind of tortuous structure may be obtained by pattern formation CA evolution, which is then used as a medium for Lattice Gas CA model application. The model is provided by special boundary conditions to account for additional tension forces between solid and liquid substances, determining the hydrophobic and hydrophilous properties of the material. The model has been tested on a small 2D array to obtain some dependencies of flow velocity on the tortuosity and wetting properties of pore walls. Parallel implementation of flow simulation through a carbon electrode of a hydrogen fuel cell is also performed, demonstrating high efficiency (>70%) of parallelization.
Supported by 1) Presidium of Russian Academy of Sciences, Basic Research Program N 2 (2009), 2) Siberian Branch of Russian Academy of Sciences, Interdisciplinary Project 32 (2009).
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Larminie, J., Dicks, A.: Fuel Cells Systems Explained. John Wiley & Sons, New York (2003)
Sahimi, M.: Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata and simulated annealing. Rev. Modern Physics 65(4), 1393–1533 (1993)
Garboczi, E.J., Bentz, D.P., Snyder, K.A., Martys, N.S., Stutzman, P.E., Ferraris, C.F., Jeffrey, W.: Modeling And Measuring the Structure And Properties of Cement-Based Materials (An electronic monograph), http://ciks.cbt.nist.gov/garbocz/appendix2/node8.html
Rothman, B.H., Zaleski, S.: Lattice-Gas Cellular Automata. Simple Models of Complex Hydrodynamics. Cambridge Univ. Press, London (1997)
Frish, U., d’Humieres, D., Hasslacher, B., Lallemand, P., Pomeau, Y., Rivet, J.P.: Lattice-Gas hydrodynamics in two and three dimensions. Complex Systems 1, 649–707 (1987)
Succi, S.: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Oxford University Press, New York (2001)
Nabovati, A., Sousa, A.C.M.: Fluid Flow Simulation In Random Porous Media At Pore Level Using The Lattice Boltzmann Method. J. of Eng. Sci. and Techn. 2(3), 226–237 (2007)
Clague, D.S., Kandhai, D., Zang, R., Sloot, P.M.A.: Hydraulic permeabolity of (un)bounded fibrous media using the Lattice Boltzmann method. Physical Review E 61(1), 616–625 (2000)
Pan, C., Hilpert, M., Miller, C.T.: Pore-scakle modeling of saturated permeabilities in random sphrere packings. Physical Review E 64(6), Article N 006702 (2001)
Bandman, O.: Composing Fine-Grained Parallel Algorithms for Spatial dynamics Simulation. In: Malyshkin, V.E. (ed.) PaCT 2005. LNCS, vol. 3606, pp. 99–113. Springer, Heidelberg (2005)
CNN: a Paradigm for Complexity. World Scientific, Singapore (2002)
Wolfram, S.: A new kind of science. Wolfram Media Inc., Champaign (2002)
Toffolli, T., Margolus, N.: Cellular Automata Machines. MIT Press, USA (1987)
Achasova, S., Bandman, O., Markova, V., Piskunov, S.: Parallel Substitution Algorithm. Theory and Application. World Scientific, Singapore (1994)
Bandman, O.: Mapping physical phenomena onto CA-models. In: Adamatsky, A., Alonso-Sanz, R., Lawiczak, A., Martinez, G.J., Morita, K., Worsch, T. (eds.) AUTOMATA 2008. Theory and Application of Cellular Automata, pp. 391–397. Luniver Press, UK (2008)
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Bandman, O. (2009). A Lattice-Gas Model of Fluid Flow through Tortuous Channels of Hydrophilous and Hydrophobic Porous Materials. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2009. Lecture Notes in Computer Science, vol 5698. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03275-2_18
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DOI: https://doi.org/10.1007/978-3-642-03275-2_18
Publisher Name: Springer, Berlin, Heidelberg
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