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Characterization of Porous Media and Materials
One of the earliest and most fruitful applications of percolation theory has been to the problems involving porous materials and media. This is not...
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Mathematical Model for Dynamic Adsorption with Immiscible Multiphase Flows in Three-dimensional Porous Media
AbstractIn this paper, we present the mathematical model describing the dynamic adsorption processes in three-dimensional porous media. The novelty...
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Mixing and Dispersion in Flow Through Porous Media
In Chap. 7, we described and discussed flow and transport processes in porous media that involve only one fluid and one fluid phase. In the present...
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Lattice Boltzmann Simulations of the Dynamic Adsorption of Gas in Porous Media: Effect of Grain Size Distribution
AbstractThis paper presents a study of the dynamic adsorption of gas (methane) with single-phase flows in porous media. The purpose is to determine...
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Multiphase Fluid Flow in Porous Media
Two- and three-phase flows in porous media and materials constitute a set of important phenomena that occur in a wide variety contexts, from enhanced...
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Mathematical Modeling of the Processes of Convective Diffusion and Sorption in a Three-Layer Porous Body. I. Mass Transfer of Impurity Particles with a Porous Solution
We propose a mathematical model of convective diffusion of impurity particles accompanied by sorption processes in a body formed by three contacting...
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Uncertainty quantification for mineral precipitation and dissolution in fractured porous media
In this work we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive...
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Transient MHD Free Convection Flow, Heat and Mass Transfer in Darcy–Forchheimer Porous Medium in the Presence of Chemical Reaction and Heat Absorption with Soret and Dufour Effects: Element-Free Galerkin Modelling
AbstractThe effects of diffuso-thermal (Dufour effect) and thermo-diffusion gradients (Soret effect) on the magneto-hydrodynamic (MHD) unsteady...
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Percolation in Evolving Media
In the previous chapters, we described the applications of percolation theory to flow and transport in porous media. The phenomena that we described...
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Forecasting Damage and Consolidation: Mathematical Models of Reacting Flows in Porous Media
In this paper we present a survey about a series of works developed in the last 20 years, with our group, on chemical aggression of stone artifacts....
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Numerical Computation of the Wave Speed for Hyperbolic Reaction-Diffusion Equations
This contribution focuses on numerical approximation of propagation speed in (hyperbolic) modeling of reactive-diffusive phenomena. Firstly, we start...
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Unconditionally Positive, Explicit, Fourth Order Method for the Diffusion- and Nagumo-Type Diffusion–Reaction Equations
We present a family of novel explicit numerical methods for the diffusion or heat equation with Fisher, Huxley and Nagumo-type reaction terms. After...
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Global Existence and Asymptotic Behavior for a Reaction–Diffusion System with Unbounded Coefficients
We consider a reaction–diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of...
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Homogenization of Attractors of Reaction–Diffusion System with Rapidly Oscillating Terms in an Orthotropic Porous Medium
In a perforated domain, we consider a reaction-diffusion system with rapidly oscillating terms in the equations and boundary conditions. No Lipschitz...
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Fluid-flow effects in the reactive decontamination of porous materials driven by chemical swelling or contraction
Following the release of a chemical warfare agent, it is crucial for public health that the affected environment is entirely decontaminated. If the...
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A numerical approach based on Vieta–Fibonacci polynomials to solve fractional order advection–reaction diffusion problem
In this article, we attempt to provide the numerical solution for a non-linear reaction--advection diffusion equation with fractional-order...
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Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study
The heat and mass transfer of two immiscible fluids in an inclined channel with thermal diffusion, vicious, and Darcy dissipation is studied. The...
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Reaction-Diffusion and Lattice Gas Models
Spatial and temporal multivariate RF models, where interactions between components act through chemical reactions, are introduced.These models give...