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合成材料:力学,计算和应用
ESCI SJR: 0.354 SNIP: 0.655 CiteScore™: 1.2

ISSN 打印: 2152-2057
ISSN 在线: 2152-2073

合成材料:力学,计算和应用

DOI: 10.1615/CompMechComputApplIntJ.v4.i1.50
pages 75-96

MODELING OF VISCOUS FLUID FILTRATION IN POROUS MEDIA WITH CYLINDRICAL SYMMETRY

Viktoria L. Savatorova
Central Connecticut State University, New Britain, CT
Alexander N. Vlasov
Institute of Applied Mechanics, Russian Academy of Sciences, 7 Leningradsky Ave., Moscow, 125040, Russia

ABSTRACT

Multiscale homogenization was applied in modeling the Darcy filtration of viscous incompressible fluid in cylindrical geometry. In the 2D case, components of permeability tensors were соnsidered to be periodical over both radius and angle. Averaged equations were derived for the case of a large inner radius of the cylinder. The derivation of the effective components of permeability tensor was reduced to the solution of the cell problems. Numerical simulations of pressure distribution and velocity of the fluid were performed for the case of r-periodicity of permeability tensor components.


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