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Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution,...
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant...
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Two-phase flow in a chemically active porous medium.

Alexandre Darmon1, Michael Benzaquen2, Thomas Salez2

  • 1EC2M, UMR CNRS 7083 Gulliver, PSL Research University, ESPCI ParisTech, 10 Rue Vauquelin, 75005 Paris, France.

The Journal of Chemical Physics
|January 3, 2015
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Summary
This summary is machine-generated.

This study models species transformation in porous media, revealing a non-monotonous reaction rate. Findings offer insights for optimizing chemical reactor design and multiphase flow.

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Area of Science:

  • Chemical Engineering
  • Fluid Dynamics
  • Materials Science

Background:

  • Understanding multiphase flow in porous media is crucial for chemical processes.
  • Modeling species transformation requires accounting for complex interactions like capillary pressure and relative permeability.

Purpose of the Study:

  • To develop a macroscopic model for immiscible species transformation in chemically active porous media.
  • To identify key dimensionless numbers and model capillary pressure and relative permeability.
  • To analyze the spatial transformation rate and reactor optimization.

Main Methods:

  • Derivation of a one-dimensional macroscopic equation for species volume fraction evolution.
  • Development of simplified models for capillary pressure and relative permeability.
  • Numerical investigation of the steady-state regime and scaling analysis.

Main Results:

  • The spatial transformation rate exhibits a non-monotonous behavior with an inflection point in volume fraction profiles.
  • The study identifies the domain of validity for the developed models.
  • Scaling laws for the inflection point location were derived based on dimensionless parameters.

Conclusions:

  • The non-monotonous transformation rate is a key characteristic of this system.
  • The developed models and findings provide a basis for optimizing porous media reactor performance.
  • Viscous coupling terms in the extended Darcy's law are important for accurate modeling.