Estimating the Hydraulic Conductivity of Two-Dimensional Fracture Networks Using Network Geometric Properties |
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Authors: | Leung Colin T O Zimmerman Robert W |
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Institution: | 1.State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Aerospace Engineering, College of Engineering,Peking University,Beijing,China |
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Abstract: | Based on a modified Darcy–Brinkman–Maxwell model, a linear stability analysis of a Maxwell fluid in a horizontal porous layer
heated from below by a constant flux is carried out. The non-oscillatory instability and oscillatory instability with different
hydrodynamic boundaries such as rigid and free surfaces at the bottom are studied. Compared with the rigid surface cases,
onset of fluid motion due to non-oscillatory instability and oscillatory instability is found to occur both more easily for
the system with a free bottom surface. The critical Rayleigh number for onset of fluid motion due to non-oscillatory instability
is lower with a constant flux heating bottom than with an isothermal heating bottom, but the result due to oscillatory instability
is in contrast. The effects of the Darcy number, the relaxation time, and the Prandtl number on the critical Rayleigh number
are also discussed. |
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Keywords: | |
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