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Transport in Porous Media

, Volume 104, Issue 2, pp 299–313 | Cite as

Advection–Dispersive Mechanisms of Electrolyte Species in Porous Matrix

  • Florian HuchetEmail author
  • Nicolas Roquet
  • Bogdan Cazacliu
Article

Abstract

Advection–dispersive phenomena inside two geometries of porous media, corresponding to a structured and unstructured network of minichannels, are studied from a combination of analytical, numerical, and electrodiffusion techniques. The instantaneous limiting diffusion current, connected to the concentration of electroactive species flowing in the porous matrix, is recorded and measured during flow experimentation. Transport phenomena investigation consists of the step injection of a tracer of higher concentration than the bulk flow in order to characterize the mixing of electrolyte species inside two arrangements of network, so called \(\times \)_network and T_network. The experimental results are supported by 2D-numerical simulations performed in the \(\times \)_network. A pore model is proposed in order to predict the pore velocity, which is used within the resolution of the diffusion–convection balance. The numerical simulations, based on a second-order finite difference scheme, give rise to a good agreement in terms of mixing index and the methodology employed for the numerical injection concentration appears suitable. The numerical experiments are quite-well representative in laminar regime below the critical Reynolds number (\(Re_{\mathrm{crit}}\approx \,200\)). Above \(Re_{\mathrm{crit}}\), the inertial effects are not negligible and the momentum transfer needs to be taken into account. This latter phenomenon is analyzed at the pore-scale in term of local skin friction measured at the channels crossing, then compared and discussed from analytical solutions.

Keywords

Porous media Networks Mixing Numerical simulations  Electrodiffusion technique 

Notes

Acknowledgments

The experimental data were acquired in the frame of a research work carried out at the GEPEA laboratory (UMR CNRS-6144).

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Florian Huchet
    • 1
    Email author
  • Nicolas Roquet
    • 1
  • Bogdan Cazacliu
    • 1
  1. 1.Aggregates and Materials Processing Lab, IFSTTARUniversity of Nantes (LUNAM)Bouguenais CedexFrance

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