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Numerical Study of Density-Driven Convection in Laminated Heterogeneous Porous Media

Published online by Cambridge University Press:  06 August 2020

Qian Li
Affiliation:
Laboratory of Thermo-Fluid Science and Nuclear Engineering Northeast Electric Power University Jilin, China School of Energy Science and Engineering Harbin Institute of TechnologyHarbin, China Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education Dalian, China
Wei Hua Cai*
Affiliation:
Laboratory of Thermo-Fluid Science and Nuclear Engineering Northeast Electric Power University Jilin, China
Bing Xi Li
Affiliation:
School of Energy Science and Engineering Harbin Institute of TechnologyHarbin, China
Ching-Yao Chen
Affiliation:
Department of Mechanical Engineering National Chiao Tung UniversityHsinchu, Taiwan
*
*Corresponding author(W. H. Cai, [email protected])
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Abstract

In the present study, we use direct numerical simulation to investigate the density-driven convection in a two-dimensional anisotropic heterogeneous porous media associated with significant laminated formation. At first, the heterogeneous porous media are randomly generated to represent laminated structure, in which the horizontal correlation length of permeability field is much longer than the vertical counterpart. Then, a highly accurate pseudo-spectral method and compact finite difference scheme with higher order of accuracy are employed to numerically reproduce the convection flow in the laminated porous media. The results show that the laminated structures restrict interactions among the downward plumes of heavier fluid. The plumes tend to descend more straightly in a laminated porous medium associated with a slower growth rate. As a result, the laminated distribution of permeability is considered having an inhibiting effect on the convection flow.

Type
Research Article
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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