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Flow of a Weakly Conducting Fluid in a Channel Filled with a Porous Medium

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Abstract

We investigate the fully developed flow in a fluid-saturated porous medium channel with an electrically conducting fluid under the action of a 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. Exact analytical solutions are derived for fluid velocity and the results are presented in figures. All these flows are new and are presented for the first time in the literature.

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Authors and Affiliations

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

    Asterios Pantokratoras

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

    Tiegang Fang

Authors
  1. Asterios Pantokratoras
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  2. Tiegang Fang
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Correspondence to Asterios Pantokratoras.

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Pantokratoras, A., Fang, T. Flow of a Weakly Conducting Fluid in a Channel Filled with a Porous Medium. Transp Porous Med 83, 667–676 (2010). https://doi.org/10.1007/s11242-009-9470-6

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  • DOI: https://doi.org/10.1007/s11242-009-9470-6

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