How to model a volumetric reaction rate inside porous media with ...

On diffusion, dispersion and reaction in porous media - NASA/ADS

The upscaling process of mass transport with chemical reaction in porous media is carried out using the method of volume averaging under diffusive and ...

Mass transfer in porous media with heterogeneous chemical reaction

The method of volume averaging is applied to obtain the governing equation for use on a small scale. The local mass equilibrium is assumed for obtaining the one ...

Diffusion and Heterogeneous Reaction in Porous Media - HAL

... reaction rate, a first- or even a second-order model can be ... model valid in the bulk of the porous medium, the averaging volume can be.

Modeling biogeochemical dynamics in porous media

Volumetric reaction rates vary with abundance, distribution, metabolic capability, and cell-specific activity of microbial populations. The microbial community ...

reaction model for porous media with different particle geometries

The Neumann boundary condition35,47 in eqn (13) shows that at the particle centre (r = R), the rate of change of the volumetric reactant number density with ...

Volume Averaged Modeling of the Oxidation of Porous Carbon Fiber ...

through porous media by solving the following four conservation equations in one dimension: ... reactions are used in the finite-rate chemistry model. The single ...

Upscaling for Adiabatic Solid–Fluid Reactions in Porous Medium ...

They used the zeroth-order reaction rate to model the ... Moyne, C.: Two-Equation model for a diffusion process in porous media using the volume averaging method.

Introduction to Heat and Mass Transport in Porous Media - NATO STO

Indeed, if one assumes that the mass reaction rate is of the form ... Model for a Diffusive Process in Porous Media Using the Volume Averaging.

Upscaling the reaction rates in porous media from pore- to Darcy-scale

Minette, Multi-scale modeling and simulation of low-pressure methane bi-reforming using structured catalytic reactors, Chem. Eng. J., № 407

The Effect of Pore-Scale Two-Phase Flow on Mineral Reaction Rates

In this study, we developed a framework that couples the two-phase flow simulator of OpenFOAM (open field operation and manipulation) with the geochemical ...

Reactive Flows in Porous Media: Challenges in Theoretical and ...

In this review, we focus on one particular component of reactive transport modeling, namely how chemical reactions with the rock matrix generate feedback loops ...

Modelling challenges of volume-averaged combustion in inert ...

Modelling challenges of volume-averaged combustion in inert porous media ... volume-averaged models, particularly for the highly non-linear reaction rates.

MULTI-SCALE ANALYSES OF REACTIVE FLOW IN POROUS MEDIA

netic model, expressing the rate of chemical reaction as a function of fluid ... rj is the volumetric rate of chemical reaction and Mj is the molar mass of ...

HOMOGENIZATION APPROACH FOR MODELING OF REACTIVE ...

and (unknown) reaction rate r∗ ∈ R uǫ(t, x) = e ... Raphael, Homogenization of a convection-diffusion model with reaction in a porous medium, C. R. Acad.

A review on reactive transport model and porosity evolution ... - NCBI

The parameters influenced by coupled biological and chemical reactions in evolving porous media are emphasised and defined from a pore-scale ...

Estimation of the Formation Rate Constant of Methane Hydrate in ...

By history matching between the experimental and numerical results with a least-squares method, a volumetric hydrate-formation rate constant was ...

Bridging Scales to Model Reactive Diffusive Transport in Porous ...

Two novel scale-bridging algorithms to model reaction-diffusion transport in porous media are presented. ... The local reaction rate was ...

A MODEL FOR POROUS-MEDIUM COMBUSTION

Thus, when switched on, the rate-limiting reaction rate grows algebraically with the temperature, in contrast to the explosive exponential growth of the ...

Adelaide Research & Scholarship: Mixing and reaction kinetics in ...

We propose a new experimental set up to characterize mixing and reactive transport in porous media with a high spatial resolution at the pore scale. The ...

Handbook of POROUS MEDIA, Second Edition

... modeling of transport phenomena in porous media utilized in the literature and this handbook. ... reaction in porous media. This situation occurs whenever ...