Evaluation of the Darcy's law performance for two-fluid flow hydrodynamics in a particle debris bed using a lattice-Boltzmann model |
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Authors: | Z L Yang T N Dinh R R Nourgaliev B R Sehgal |
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Institution: | Division of Nuclear Power Safety Royal Institute of Technology Drottning Kristinas V?g 33A 10044 Stockholm, Sweden, SE
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Abstract: | In the present paper, multiphase flow dynamics in a porous medium are analyzed by employing the lattice-Boltzmann modeling
approach.
A two-dimensional formulation of a lattice-Boltzmann model, using a D2Q9 scheme, is used. Results of the FlowLab code simulation
for single phase flow in porous media and for two-phase flow in a channel are compared with analytical solutions. Excellent
agreement is obtained. Additionally, fluid-fluid interaction and fluid-solid interaction (wettability) are modeled and examined.
Calculations are performed to simulate two-fluid dynamics in porous media, in a wide range of physical parameters of porous
media and flowing fluids. It is shown that the model is capable of determining the minimum body force needed for the nonwetting
fluid to percolate through the porous medium. Dependence of the force on the pore size, and geometry, as well as on the saturation
of the nonwetting fluid is predicted by the model. In these simulations, the results obtained for the relative permeability
coefficients indicate the validity of the reciprocity for the two coupling terms in the modified Darcy's law equations. Implication
of the simulation results on two-fluid flow hydrodynamics in a decay-heated particle debris bed is discussed.
Received on 1 December 1999 |
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