Combustion simulation with Lattice Boltzmann method in a three-dimensional porous structure
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Lattice Boltzmann methods
Tortuosity
Large-Eddy Simulation
Discrete element method (DEM) is used to produce dense and fixed porous media with rigid mono spheres. Lattice Boltzmann method (LBM) is adopted to simulate the fluid flow in interval of dense spheres. To simulating the same physical problem, the permeability is obtained with different lattice number. We verify that the permeability is irrelevant to the body force and the media length along flow direction. The relationships between permeability, tortuosity and porosity, and sphere radius are researched, and the results are compared with those reported by other authors. The obtained results indicate that LBM is suited to fluid flow simulation of porous media due to its inherent theoretical advantages. The radius of sphere should have ten lattices at least and the media length along flow direction should be more than twenty radii. The force has no effect on the coefficient of permeability with the limitation of slow fluid flow. For mono spheres porous media sample, the relationship of permeability and porosity agrees well with the K‐C equation, and the tortuosity decreases linearly with increasing porosity.
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Several results of lattice-gas and lattice-Boltzmann simulations of single-fluid flow in 2D and 3D porous media are discussed. Simulation results for the tortuosity, effective porosity and permeability of a 2D random porous medium are reported. A modified Kozeny–Carman law is suggested, which includes the concept of effective porosity. This law is found to fit well the simulated 2D permeabilities. The results for fluid flow through large 3D random fibre webs are also presented. The simulated permeabilities of these webs are found to be in good agreement with experimental data. The simulations also confirm that, for this kind of materials, permeability depends exponentially on porosity over a large porosity range.
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Darcy's law
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Tortuosity is a measure of the geometric complexity of the porous media. Knowing the tortuosity value of the porous media is helpful to get detailed information about the fluid behavior at microscale. In order to calculate the tortuosity, the velocity field of the fluid troughthe porous media is determined using the lattice Boltzmann method (LBM). The particle size of the obstacles is varied, keeping the porosity of the material as a constant. As a result, a relationship to determine the particle diameter as a function of the number of particles for a specific porosity value is given, and the dependence of the tortuosity with respect to the main flow direction is demonstrated.
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Lattice Boltzmann methods
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Boltzmann constant
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Lattice Boltzmann methods
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Lattice Boltzmann methods
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Lattice Boltzmann methods
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Lattice Boltzmann methods
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Tortuosity
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Slowdown
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Abstract. In this paper, we simulate the pressure driven fluid flow at the pore scalelevel through 2-D porous media,which is composed of different curved channels viathelatticeBoltzmannmethod. With thisdirectsimulation,therelationbetweenthetor-tuosityandthepermeabilityisexamined. Thenumericalresultsareingoodagreementwith the existing theory. AMS subject classifications : 76S05,80M25 Key words : Tortuosity, lattice Boltzmann, porous media, pore scale. 1 Introduction Fluid flow through porous media is a common phenomenon in science and engineering.Thus,thepredictionof thepermeability, as the main transportpropertyin porousmedia,isalong-standingproblemofgreatpractical importance. Existingexperimentresultsandtheoretical works [1–5] show that the permeability of various porous materials is deter-mined by theirstructureparameterssuch as porosity,specific surface area, tortuosityetc.Amongtheexistingtheories,theKozeny-Carman equation may be the mostfamous one,which can be expressedas: k = ǫ 3 k 0 T
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