| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Magnetic Fluid Flows in Porous Media* |
| LI Ming-Jun**, CHEN Liang
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Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105
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| Cite this article: |
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LI Ming-Jun, CHEN Liang 2011 Chin. Phys. Lett. 28 085203 |
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Abstract The seepage law under a magnetic field is obtained by up-scaling the flow at the pore scale of rigid porous media, and the macroscopic equivalent model is also obtained. It is proved that the macroscopic mass flow depends on the macroscopic magnetic force and the gradients of pressure and of magnetic pressure, as Zahn and Rosensweig have described in their experiments. The permeability tensor is symmetric and positive.
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| Keywords:
52.55.Tn
95.30.Qd
47.56.+r
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Received: 23 April 2011
Published: 28 July 2011
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| PACS: |
52.55.Tn
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(Ideal and resistive MHD modes; kinetic modes)
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95.30.Qd
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(Magnetohydrodynamics and plasmas)
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47.56.+r
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(Flows through porous media)
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[8] Auriault J L 1991 Intl J. Engng Sci. 29 785
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[11] Hornung U 1996 Homogenization and Porous Media (Hardcover: Springer)
[12] Sanchez-Palencia E 2000 Porous Media 41 61
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