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Journal of Applied Mechanics and Technical Physics

2017 year, number 3

Fluid Flow Simulation in a Random Elliptical Porous Medium by using the Lattice Boltzmann Method

M. Ezzatabadipour1, H. Zahedi2, M. M. Keshtkar3
1Sirjan Jahan Steel Complex, Kerman, Iran
2University of Isfahan, Isfahan, Iran
3Islamic Azad University, Kerman, Iran
Keywords: решеточный метод Больцмана, условия на криволинейной границе, хаотичное распределение, пористая среда, частицы эллиптической формы, проницаемость, lattice Boltzmann method, curved boundary conditions, random distribution, porous medium, elliptical particles, permeability


A fluid flow through an isotropic porous medium with randomly arranged elliptical particles is simulated by the lattice Boltzmann method. The dimensionless pressure drop and the dimensionless permeability are evaluated as functions of the Reynolds number. The effect of the aspect ratio of the major to minor semi-axis of the ellipse on the dimensionless permeability is considered for different values of porosity. The pressure drop is thoroughly investigated as a function of fluid viscosity for different values of the aspect ratio and porosity. The influence of various parameters of the problem on the mean tortuosity of the medium is considered.