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Title: Two-phase flow in a chemically active porous medium

We study the problem of the transformation of a given reactant species into an immiscible product species, as they flow through a chemically active porous medium. We derive the equation governing the evolution of the volume fraction of the species, in a one-dimensional macroscopic description, identify the relevant dimensionless numbers, and provide simple models for capillary pressure and relative permeabilities, which are quantities of crucial importance when tackling multiphase flows in porous media. We set the domain of validity of our models and discuss the importance of viscous coupling terms in the extended Darcy’s law. We investigate numerically the steady regime and demonstrate that the spatial transformation rate of the species along the reactor is non-monotonous, as testified by the existence of an inflection point in the volume fraction profiles. We obtain the scaling of the location of this inflection point with the dimensionless lengths of the problem. Eventually, we provide key elements for optimization of the reactor.
Authors:
;  [1] ; ;  [2]
  1. EC2M, UMR CNRS 7083 Gulliver, PSL Research University, ESPCI ParisTech, 10 Rue Vauquelin, 75005 Paris (France)
  2. PCT, UMR CNRS 7083 Gulliver, PSL Research University, ESPCI ParisTech, 10 Rue Vauquelin, 75005 Paris (France)
Publication Date:
OSTI Identifier:
22415439
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 141; Journal Issue: 24; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAPILLARIES; COUPLING; DIMENSIONLESS NUMBERS; EVOLUTION; MULTIPHASE FLOW; ONE-DIMENSIONAL CALCULATIONS; OPTIMIZATION; PERMEABILITY; POROUS MATERIALS; TRANSFORMATIONS; TWO-PHASE FLOW