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Flow of a Weakly Conducting Fluid in a Channel Filled with a Darcy–Brinkman–Forchheimer Porous Medium

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Abstract

We investigate in this article, the fully developed flow in a fluid-saturated channel filled with a Darcy–Brinkman–Forchheimer porous medium, which is conducted with an electrically varying parallel Lorentz force. The Lorentz force varies exponentially in the vertical direction due to low fluid electrical conductivity and the special arrangement of the magnetic and electric fields at the lower plate. With the homotopy analysis method (HAM), a particularly effective technique in solving nonlinear problems, analytical approximation series solutions with high accuracy are derived for fluid velocity and the results are illustrated in form of figures. All these flows are new and are presented for the first time in the literature.

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Authors and Affiliations

  1. State Key Lab of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200030, China

    B. Q. Zhao & S. J. Liao

  2. School of Engineering, Democritus University of Thrace, 67100, Xanthi, Greece

    A. Pantokratoras

  3. Department of Mechanical and Aerospace Engineering, North Carolina State University, 3182 Broughton Hall-Campus, 2601 Stinson Drive, Box 7910, Raleigh, NC, 27695, USA

    T. G. Fang

Authors
  1. B. Q. Zhao
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  2. A. Pantokratoras
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  3. T. G. Fang
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  4. S. J. Liao
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Correspondence to S. J. Liao.

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Zhao, B.Q., Pantokratoras, A., Fang, T.G. et al. Flow of a Weakly Conducting Fluid in a Channel Filled with a Darcy–Brinkman–Forchheimer Porous Medium. Transp Porous Med 85, 131–142 (2010). https://doi.org/10.1007/s11242-010-9550-7

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  • DOI: https://doi.org/10.1007/s11242-010-9550-7

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