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Journal articles on the topic 'Reactive porous flow'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Song, Wen, Folake Ogunbanwo, Marianne Steinsbø, Martin A. Fernø, and Anthony R. Kovscek. "Mechanisms of multiphase reactive flow using biogenically calcite-functionalized micromodels." Lab on a Chip 18, no. 24 (2018): 3881–91. http://dx.doi.org/10.1039/c8lc00793d.

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2

VERDON, JAMES, and ANDREW W. WOODS. "Gravity-driven reacting flows in a confined porous aquifer." Journal of Fluid Mechanics 588 (September 24, 2007): 29–41. http://dx.doi.org/10.1017/s0022112007007069.

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We develop a model for the dynamics of a reactive gravity-driven flow in a porous layer of finite depth, accounting for the change in permeability and density across the dissolution front. We identify that the two controlling parameters are the mobility ratio across the reaction front and the ratio of the buoyancy-driven flow to the fluid injection rate. We present some numerical solutions for the evolution of a two-dimensional dissolution front, and develop an approximate analytic solution for the limit of large injection rate compared to the buoyancy-driven flow. The model predictions are compared with some new analogue laboratory experiments in which fresh water displaces a saturated aqueous solution initially confined within a two-dimensional reactive permeable matrix composed of salt powder and glass ballotini. We also present self-similar solutions for an axisymmetric gravity-driven reactive current moving through a porous layer of finite depth. The solutions illustrate how the reaction front becomes progressively wider as the ratio of the buoyancy-driven flow to the injection rate increases, and also as the mobility contrast across the front increases.

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3

Rajesh, G., R. B. Bhagat, and K. A. Fichthorn. "Reactive Flow in a Porous Medium: Formulation for Spatially Periodic Hexagonally Packed Cylinders." Journal of Applied Mechanics 67, no. 4 (1999): 749–57. http://dx.doi.org/10.1115/1.1312803.

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This study develops an integrated micro-macro model of reactive flow in a porous medium consisting of spatially periodic hexagonal array of solid reacting cylinders. The micro model describes the growth of reaction product on the solid reactant surface. The macro flow of the infiltrant fluid is described by Darcy’s law. The transient permeability and thus advancement of the infiltration front are determined as a function of process parameters from the micro model. Crucial process parameters that influence the advance of the fluid front are identified. The results from this investigation can be used to optimize the manufacture of ceramic-matrix composites. [S0021-8936(00)02703-3]

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4

Liu, Honggao, and Karsten E. Thompson. "Numerical modeling of reactive polymer flow in porous media." Computers & Chemical Engineering 26, no. 11 (2002): 1595–610. http://dx.doi.org/10.1016/s0098-1354(02)00130-8.

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5

Andersen, P. Ø., and S. Evje. "A model for reactive flow in fractured porous media." Chemical Engineering Science 145 (May 2016): 196–213. http://dx.doi.org/10.1016/j.ces.2016.02.008.

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6

Yuan, Q., and J. Azaiez. "Cyclic time-dependent reactive flow displacements in porous media." Chemical Engineering Science 109 (April 2014): 136–46. http://dx.doi.org/10.1016/j.ces.2014.02.003.

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7

TAN, KAI-XUAN, QING-LIANG WANG, ZE-HUA LIU, and E.-MING HU. "NONLINEAR DYNAMICS OF FLOW-REACTION COUPLING IN POROUS MEDIA AND APPLICATION TO IN SITU LEACHING URANIUM MINING." International Journal of Modern Physics B 18, no. 17n19 (2004): 2663–68. http://dx.doi.org/10.1142/s0217979204025877.

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When a reactive fluid flows through a porous rock it can dissolve some minerals and increase the porosity and permeability. The positive feedback between fluid flow and mineral dissolution can lead to the complexity of the propagation of dissolution front and the formation of finger flow-focusing reaction area. As an example for in situ leaching Uranium mining, the simulation results indicate that the propagation of dissolution front is complex such as finger and more complicated reaction front morphologies. The nonlinearity of flow-reaction coupling and instability of dissolution front morphologies can lead to unleaching area and affect the rate of recovery of mineral resource.

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8

Iliev, Oleg, Zahra Lakdawala, Katherine H. L. Neßler, et al. "ON THE PORE-SCALE MODELING AND SIMULATION OF REACTIVE TRANSPORT IN 3D GEOMETRIES." Mathematical Modelling and Analysis 22, no. 5 (2017): 671–94. http://dx.doi.org/10.3846/13926292.2017.1356759.

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Pore-scale modeling and simulation of reactive flow in porous media has a range of diverse applications, and poses a number of research challenges. It is known that the morphology of a porous medium has significant influence on the local flow rate, which can have a substantial impact on the rate of chemical reactions. While there are a large number of papers and software tools dedicated to simulating either fluid flow in 3D computerized tomography (CT) images or reactive flow using porenetwork models, little attention to date has been focused on the pore-scale simulation of sorptive transport in 3D CT images, which is the specific focus of this paper. Here we first present an algorithm for the simulation of such reactive flows directly on images, which is implemented in a sophisticated software package. We then use this software to present numerical results in two resolved geometries, illustrating the importance of pore-scale simulation and the flexibility of our software package.

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9

Awartani, Marwan, and M. H. Hamdan. "Non-reactive gas-particulate models of flow through porous media." Applied Mathematics and Computation 100, no. 1 (1999): 93–102. http://dx.doi.org/10.1016/s0096-3003(98)00013-7.

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10

Renard, F., J. P. Gratier, P. Ortoleva, E. Brosse, and B. Bazin. "Self-organization during reactive fluid flow in a porous medium." Geophysical Research Letters 25, no. 3 (1998): 385–88. http://dx.doi.org/10.1029/97gl03781.

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11

Alhumade, H., and J. Azaiez. "Stability analysis of reversible reactive flow displacements in porous media." Chemical Engineering Science 101 (September 2013): 46–55. http://dx.doi.org/10.1016/j.ces.2013.06.015.

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12

Sharp, R. R., P. Stoodley, M. Adgie, R. Gerlach, and A. Cunningham. "Visualization and characterization of dynamic patterns of flow, growth and activity of biofilms growing in porous media." Water Science and Technology 52, no. 7 (2005): 85–90. http://dx.doi.org/10.2166/wst.2005.0185.

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Using a mesoscale porous media flat plate reactor we utilized a naturally bioluminescent biofilm (V. fischeri) and dye studies to obtain valuable information on the interactions between biofilms and reactive flow in porous media. The growth and development of the V. fischeri biofilm in a porous media geometry was studied using digital time lapse images of the bioluminescent signal given off by the developing biofilm. The effect of biofilm development on porous media hydrodynamics was examined using dye tracer studies and image analysis. The natural bioluminescence of the V. fischeri allowed real-time, in-situ study of biofilm development in porous media, without destruction of the biofilm. Dye studies and image analysis enabled the study of effects of biofilm accumulation on porous media hydraulics, with comparisons to plug flow and completely mixed systems with varying degrees of biofilm accumulation. The real-time nature of the study permitted us to visualize dynamic flow channel formation within the biofilm/porous media system. In addition, the sensitivity of the V. fischeri biofilm to dissolved oxygen allowed us to capture real-time images of reactive transport within the system. This work is the first meso-scale visualization of the interactions between biofilm and flow in porous media.

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13

Parmigiani, A., C. Huber, O. Bachmann, and B. Chopard. "Pore-scale mass and reactant transport in multiphase porous media flows." Journal of Fluid Mechanics 686 (September 30, 2011): 40–76. http://dx.doi.org/10.1017/jfm.2011.268.

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AbstractReactive processes associated with multiphase flows play a significant role in mass transport in unsaturated porous media. For example, the effect of reactions on the solid matrix can affect the formation and stability of fingering instabilities associated with the invasion of a buoyant non-wetting fluid. In this study, we focus on the formation and stability of capillary channels of a buoyant non-wetting fluid (developed because of capillary instabilities) and their impact on the transport and distribution of a reactant in the porous medium. We use a combination of pore-scale numerical calculations based on a multiphase reactive lattice Boltzmann model (LBM) and scaling laws to quantify (i) the effect of dissolution on the preservation of capillary instabilities, (ii) the penetration depth of reaction beyond the dissolution/melting front, and (iii) the temporal and spatial distribution of dissolution/melting under different conditions (concentration of reactant in the non-wetting fluid, injection rate). Our results show that, even for tortuous non-wetting fluid channels, simple scaling laws assuming an axisymmetrical annular flow can explain (i) the exponential decay of reactant along capillary channels, (ii) the dependence of the penetration depth of reactant on a local Péclet number (using the non-wetting fluid velocity in the channel) and more qualitatively (iii) the importance of the melting/reaction efficiency on the stability of non-wetting fluid channels. Our numerical method allows us to study the feedbacks between the immiscible multiphase fluid flow and a dynamically evolving porous matrix (dissolution or melting) which is an essential component of reactive transport in porous media.

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14

Maznoy, A. S., Alexander Kirdyashkin та Ramil Gabbasov. "Synthesis of β-SiAlON Porous Ceramics by Filtrational Combustion of Reactive Foams in Nitrogen Flow". Advanced Materials Research 1040 (вересень 2014): 418–22. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.418.

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Process of synthesis of porous ceramics via organization of the filtrational mode of combustion synthesis in reactive samples preliminary structured by the method of foaming of slurry is investigated. The Al + SiO2 + N2 system is investigated; the target product of synthesis is β-SiAlON. It is demonstrated that high-porosity ceramic materials inheriting initial structure of the porous space of reactive systems can be fabricated in the filtrational mode of combustion synthesis. This has allowed us to vary the pore space parameters in wide ranges. The β-SiAlON based ceramic materials with total porosity from 40 to 75%, sizes of core elements 250–750 μm, sizes of porous channels 10–200 μm, and specific surface 4–15 mm-1 have been fabricated. It is demonstrated that combustion in reactive gas flow considerably intensifies the process of combustion synthesis.

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15

Keller, Tobias, and Jenny Suckale. "A continuum model of multi-phase reactive transport in igneous systems." Geophysical Journal International 219, no. 1 (2019): 185–222. http://dx.doi.org/10.1093/gji/ggz287.

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SUMMARY Multiphase reactive transport processes are ubiquitous in igneous systems. A challenging aspect of modelling igneous phenomena is that they range from solid-dominated porous to liquid-dominated suspension flows and therefore entail a wide spectrum of rheological conditions, flow speeds and length scales. Most previous models have been restricted to the two-phase limits of porous melt transport in deforming, partially molten rock and crystal settling in convecting magma bodies. The goal of this paper is to develop a framework that can capture igneous system from source to surface at all phase proportions including not only rock and melt but also an exsolved volatile phase. Here, we derive an n-phase reactive transport model building on the concepts of Mixture Theory, along with principles of Rational Thermodynamics and procedures of Non-equilibrium Thermodynamics. Our model operates at the macroscopic system scale and requires constitutive relations for fluxes within and transfers between phases, which are the processes that together give rise to reactive transport phenomena. We introduce a phase- and process-wise symmetrical formulation for fluxes and transfers of entropy, mass, momentum and volume, and propose phenomenological coefficient closures that determine how fluxes and transfers respond to mechanical and thermodynamic forces. Finally, we demonstrate that the known limits of two-phase porous and suspension flow emerge as special cases of our general model and discuss some ramifications for modelling pertinent two- and three-phase flow problems in igneous systems.

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16

Moosavi, R., A. Kumar, A. De Wit, and M. Schröter. "Influence of mineralization and injection flow rate on flow patterns in three-dimensional porous media." Physical Chemistry Chemical Physics 21, no. 27 (2019): 14605–11. http://dx.doi.org/10.1039/c9cp01382b.

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17

Li, Haijing, Herman J. H. Clercx, and Federico Toschi. "Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2208 (2021): 20200398. http://dx.doi.org/10.1098/rsta.2020.0398.

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A model based on the Lattice Boltzmann method is developed to study the flow of reactive electro-kinetic fluids in porous media. The momentum, concentration and electric/potential fields are simulated via the Navier–Stokes, advection–diffusion/Nernst–Planck and Poisson equations, respectively. With this model, the total density and velocity fields, the concentration of reactants and reaction products, including neutral and ionized species, the electric potential and the interaction forces between the fields can be studied, and thus we provide an insight into the interplay between chemistry, flow and the geometry of the porous medium. The results show that the conversion efficiency of the reaction can be strongly influenced by the fluid velocity, reactant concentration and by porosity of the porous medium. The fluid velocity determines how long the reactants stay in the reaction areas, the reactant concentration controls the amount of the reaction material and with different dielectric constant, the porous medium can distort the electric field differently. All these factors make the reaction conversion efficiency display a non-trivial and non-monotonic behaviour as a function of the flow and reaction parameters. To better illustrate the dependence of the reaction conversion efficiency on the control parameters, based on the input from a number of numerical investigations, we developed a phenomenological model of the reactor. This model is capable of capturing the main features of the causal relationship between the performance of the reactor and the main test parameters. Using this model, one could optimize the choice of reaction and flow parameters in order to improve the performance of the reactor and achieve higher production rates. This article is part of the theme issue ‘Progress in mesoscale methods for fluid dynamics simulation’.

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18

Han, Jong Hun, Kil Won Cho, Kun Hong Lee, and Hwayong Kim. "Transient one-dimensional heat flow technique applied to porous reactive medium." Review of Scientific Instruments 69, no. 8 (1998): 3079–80. http://dx.doi.org/10.1063/1.1149060.

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19

Lissenberg, C. Johan, and Christopher J. MacLeod. "A Reactive Porous Flow Control on Mid-ocean Ridge Magmatic Evolution." Journal of Petrology 57, no. 11-12 (2016): 2195–220. http://dx.doi.org/10.1093/petrology/egw074.

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20

Travis, Bryan. "Porous Flow and Reactive Transport Modeling: New Directions and Old Needs." IEICE Proceeding Series 2 (March 17, 2014): 1. http://dx.doi.org/10.15248/proc.2.1.

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21

Bringedal, Carina, Inga Berre, Iuliu Sorin Pop, and Florin Adrian Radu. "Upscaling of Non-isothermal Reactive Porous Media Flow with Changing Porosity." Transport in Porous Media 114, no. 2 (2015): 371–93. http://dx.doi.org/10.1007/s11242-015-0530-9.

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22

Cremon, Matthias A., Nicola Castelletto, and Joshua A. White. "Multi-stage preconditioners for thermal–compositional–reactive flow in porous media." Journal of Computational Physics 418 (October 2020): 109607. http://dx.doi.org/10.1016/j.jcp.2020.109607.

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23

Chalot-Prat, F., P. Nimis, D. H. Green, and T. J. Falloon. "Plagioclase lherzolite as matrix to reactive, porous flow of basaltic magmas." Geochimica et Cosmochimica Acta 70, no. 18 (2006): A95. http://dx.doi.org/10.1016/j.gca.2006.06.103.

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24

CHADAM, J., P. ORTOLEVA, Y. QIN, and R. STAMICAR. "The effect of hydrodynamic dispersion on reactive flows in porous media." European Journal of Applied Mathematics 12, no. 5 (2001): 557–69. http://dx.doi.org/10.1017/s0956792501004600.

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The shape stability of the reaction interface for reactive flow in a porous medium is investigated. Previous work showed that the Reaction-Infiltration Instability could cause the reaction zone to lose stability when the Peclet number exceeded a critical value. The new feature of this study is to include a velocity-dependent hydrodynamic dispersion. A mathematical model for this phenomenon is given in the form of a moving free-boundary problem. The spectrum of the linearized problem is obtained, and the related analysis and numerical calculations show that the onset of the instability is not eliminated by the new dispersive terms. The details of analysis show that the instability is reduced especially by the transverse dispersion.

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25

Severino, G., D. M. Tartakovsky, G. Srinivasan, and H. Viswanathan. "Lagrangian models of reactive transport in heterogeneous porous media with uncertain properties." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2140 (2011): 1154–74. http://dx.doi.org/10.1098/rspa.2011.0375.

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We consider multi-component reactive transport in heterogeneous porous media with uncertain hydraulic and chemical properties. This parametric uncertainty is quantified by treating relevant flow and transport parameters as random fields, which renders the governing equations stochastic. We adopt a stochastic Lagrangian framework to replace a three-dimensional advection–reaction transport equation with a one-dimensional equation for solute travel times. We derive approximate expressions for breakthrough curves and their temporal moments. To illustrate our general theory, we consider advective transport of dissolved species undergoing an irreversible bimolecular reaction.

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26

Bhattacharyya, Krishnendu, M. S. Uddin, G. C. Layek, and W. Ali Pk. "DIFFUSION OF CHEMICALLY REACTIVE SPECIES IN BOUNDARY LAYER FLOW OVER A POROUS PLATE IN POROUS MEDIUM." Chemical Engineering Communications 200, no. 12 (2013): 1701–10. http://dx.doi.org/10.1080/00986445.2012.762509.

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27

Alhumade, H., and J. Azaiez. "Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/920692.

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The effect of reversibility on the instability of a miscible vertical reactive flow displacement is examined. A model, where densities and/or viscosities mismatches between the reactants and the chemical product trigger instability, is adopted. The problem is governed by the continuity equation, Darcy’s law, and the convection-diffusion-reaction equations. The problem is formulated and solved numerically using a combination of the highly accurate spectral methods based on Hartley’s transform and the finite-difference technique. Nonlinear simulations were carried out for a variety of parameters to analyse the effects of the reversibility of the chemical reaction on the development of the flow under different scenarios of the frontal instability. In general, faster attenuation in the development and growth of the instability is reported as the reversibility of the chemical reaction increases. However, it was observed that reversibility is capable of triggering instability for particular choices of the densities and viscosities mismatches. In addition, the effect of the reversibility in enhancing the instability was illustrated by presenting the total relative contact area between the reactants and the product.

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28

de Lemos, Marcelo J. S., and Maximilian S. Mesquita. "Comparison of Four Thermo-Mechanical Models for Simulating Reactive Flow in Porous Materials." Defect and Diffusion Forum 297-301 (April 2010): 1493–501. http://dx.doi.org/10.4028/www.scientific.net/ddf.297-301.1493.

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The objective of this paper is to present numerical simulations of combustion of an air/methane mixture in porous materials using a model that considers the intra-pore levels of turbulent kinetic energy. Transport equations are written in their time-and-volume-averaged form and a volume-based statistical turbulence model is applied to simulate turbulence generation due to the porous matrix. Four different thermo-mechanical models are compared, namely Laminar, Laminar with Radiation Transport, Turbulent, Turbulent with Radiation Transport. Combustion is modeled via a unique simple closure. Preliminary testing results indicate that a substantially different temperature distribution is obtained depending on the model used. In addition, for high excess air peak gas temperature are reduced.

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29

RITCHIE, LINDSEY T., and DAVID PRITCHARD. "Natural convection and the evolution of a reactive porous medium." Journal of Fluid Mechanics 673 (February 17, 2011): 286–317. http://dx.doi.org/10.1017/s0022112010006269.

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We describe a mathematical model of buoyancy-driven flow and solute transport in a saturated porous medium, the porosity and permeability of which evolve through precipitation and dissolution as a mineral is lost or gained from the pore fluid. Imposing a vertically varying equilibrium solubility creates a density gradient which can drive convective circulation. We characterise the onset of convection using linear stability analysis, and explore the further development of the coupled reaction–convection system numerically. At low Rayleigh numbers, the effect of the reaction–permeability feedback is shown to be destabilising through a novel reaction–diffusion mechanism; at higher Rayleigh numbers, the precipitation and dissolution have a stabilising effect. Over longer time scales, reaction–permeability feedback triggers secondary instabilities in quasi-steady convective circulation, leading to rapid reversals in the direction of circulation. Over very long time scales, characteristic patterns of porosity emerge, including horizontal layering as well as the development of vertical chimneys of enhanced porosity. We discuss the implications of these findings for more comprehensive models of reactive convection in porous media.

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30

Li, Haijing, Herman J. H. Clercx, and Federico Toschi. "LBM Investigations on a Chain Reaction in a Reactive Electro-Kinetic Flow in Porous Material." Journal of The Electrochemical Society 168, no. 8 (2021): 083502. http://dx.doi.org/10.1149/1945-7111/ac1b4a.

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31

Younes, Anis, Marwan Fahs, and Philippe Ackerer. "Modeling of Flow and Transport in Saturated and Unsaturated Porous Media." Water 13, no. 8 (2021): 1088. http://dx.doi.org/10.3390/w13081088.

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Modeling fluid flow and transport processes in porous media is a relevant topic for a wide range of applications. In water resources problems, this topic presents specific challenges related to the multiphysical processes, large time and space scales, heterogeneity and anisotropy of natural porous media, and complex mathematical models characterized by coupled nonlinear equations. This Special Issue aims at collecting papers presenting new developments in the field of flow and transport in porous media. The 25 published papers deal with different aspects of physical processes and applications such as unsaturated and saturated flow, flow in fractured porous media, landslide, reactive transport, seawater intrusion, and transport within hyporheic zones. Based on their objectives, we classified these papers into four categories: (i) improved numerical methods for flow and mass transport simulation, (ii) looking for reliable models and parameters, (iii) laboratory scale experiments and simulations, and (iv) modeling and simulations for improved process understanding. Current trends on modeling fluid flow and transport processes in porous media are discussed in the conclusion.

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32

Rees Jones, David W., and Richard F. Katz. "Reaction-infiltration instability in a compacting porous medium." Journal of Fluid Mechanics 852 (August 2, 2018): 5–36. http://dx.doi.org/10.1017/jfm.2018.524.

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Certain geological features have been interpreted as evidence of channelized magma flow in the mantle, which is a compacting porous medium. Aharonov et al. (J. Geophys. Res., vol. 100 (B10), 1995, pp. 20433–20450) developed a simple model of reactive porous flow and numerically analysed its instability to channels. The instability relies on magma advection against a chemical solubility gradient and the porosity-dependent permeability of the porous host rock. We extend the previous analysis by systematically mapping out the parameter space. Crucially, we augment numerical solutions with asymptotic analysis to better understand the physical controls on the instability. We derive scalings for the critical conditions of the instability and analyse the associated bifurcation structure. We also determine scalings for the wavelengths and growth rates of the channel structures that emerge. We obtain quantitative theories for and a physical understanding of, first, how advection or diffusion over the reactive time scale sets the horizontal length scale of channels and, second, the role of viscous compaction of the host rock, which also affects the vertical extent of channelized flow. These scalings allow us to derive estimates of the dimensions of emergent channels that are consistent with the geologic record.

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33

Kootiani, Reza Cheraghi. "A Comprehensive and Numerical Modeling of Reactive Polymer Flow in Porous Media." IOSR Journal of Engineering 4, no. 1 (2014): 32–37. http://dx.doi.org/10.9790/3021-04123237.

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34

Makinde, O. D. "Thermal stability of a reactive viscous flow through a porous‐saturated pipe." International Journal of Numerical Methods for Heat & Fluid Flow 17, no. 8 (2007): 836–44. http://dx.doi.org/10.1108/09615530710825800.

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35

Hejazi, S. H., and J. Azaiez. "Stability of reactive interfaces in saturated porous media under gravity in the presence of transverse flows." Journal of Fluid Mechanics 695 (February 16, 2012): 439–66. http://dx.doi.org/10.1017/jfm.2012.31.

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AbstractThe stability of a horizontal interface between a solution of reactant $A$ on top of another solution of reactant $B$ is analysed. A chemical product $C$ is generated at the interface as a result of a bimolecular chemical reaction $A+ B\ensuremath{\rightarrow} C$. In general, all chemical components are assumed to have different densities and viscosities, and a transverse velocity is introduced parallel to the interface between the reactants. Although the transverse flow is known for its stabilizing effect in viscously unstable non-reactive systems in the presence of an injection velocity, it is shown here that it can actually destabilize an initially stable reactive front. An expression for the critical transverse velocity beyond which an initially stable interface is destabilized is derived in the case of an initial sharp interface for reactants of the same viscosity. The analysis is extended to a diffused profile, and purely buoyancy-driven flows are analysed first in the absence of viscosity contrast and then in the presence of transverse flows and viscosity contrast. Various possible density fingering scenarios are determined based on the relative contribution of each chemical component to the density profile. It is found that the chemical reaction can destabilize a buoyancy-stable initial interface by generating a non-monotonic density profile. Unlike the viscous fingering of a reactive interface, a symmetry in the stability characteristics with respect to density increase or decrease by chemical reaction product is observed in the case of chemically buoyancy-driven flows for identical reactants.

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36

Chinyoka, Tirivanhu, and Daniel Oluwole Makinde. "Unsteady and porous media flow of reactive non-Newtonian fluids subjected to buoyancy and suction/injection." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 7 (2015): 1682–704. http://dx.doi.org/10.1108/hff-10-2014-0329.

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Purpose – The purpose of this paper is to examine the unsteady pressure-driven flow of a reactive third-grade non-Newtonian fluid in a channel filled with a porous medium. The flow is subjected to buoyancy, suction/injection asymmetrical and convective boundary conditions. Design/methodology/approach – The authors assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The authors also assume unidirectional suction injection flow of uniform strength across the channel. The flow system is modeled via coupled non-linear partial differential equations derived from conservation laws of physics. The flow velocity and temperature are obtained by solving the governing equations numerically using semi-implicit finite difference methods. Findings – The authors present the results graphically and draw qualitative and quantitative observations and conclusions with respect to various parameters embedded in the problem. In particular the authors make observations regarding the effects of bouyancy, convective boundary conditions, suction/injection, non-Newtonian character and reaction strength on the flow velocity, temperature, wall shear stress and wall heat transfer. Originality/value – The combined fluid dynamical, porous media and heat transfer effects investigated in this paper have to the authors’ knowledge not been studied. Such fluid dynamical problems find important application in petroleum recovery.

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37

Ladd, Anthony J. C., and Piotr Szymczak. "Reactive Flows in Porous Media: Challenges in Theoretical and Numerical Methods." Annual Review of Chemical and Biomolecular Engineering 12, no. 1 (2021): 543–71. http://dx.doi.org/10.1146/annurev-chembioeng-092920-102703.

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We review theoretical and computational research, primarily from the past 10 years, addressing the flow of reactive fluids in porous media. The focus is on systems where chemical reactions at the solid–fluid interface cause dissolution of the surrounding porous matrix, creating nonlinear feedback mechanisms that can often lead to greatly enhanced permeability. We discuss insights into the evolution of geological forms that can be inferred from these feedback mechanisms, as well as some geotechnical applications such as enhanced oil recovery, hydraulic fracturing, and carbon sequestration. Until recently, most practical applications of reactive transport have been based on Darcy-scale modeling, where averaged equations for the flow and reactant transport are solved. We summarize the successes and limitations of volume averaging, which leads to Darcy-scale equations, as an introduction to pore-scale modeling. Pore-scale modeling is computationally intensive but offers new insights as well as tests of averaging theories and pore-network models. We include recent research devoted to validation of pore-scale simulations, particularly the use of visual observations from microfluidic experiments.

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38

Uwanta, I. J., and M. M. Hamza. "Effect of Suction/Injection on Unsteady Hydromagnetic Convective Flow of Reactive Viscous Fluid between Vertical Porous Plates with Thermal Diffusion." International Scholarly Research Notices 2014 (November 4, 2014): 1–14. http://dx.doi.org/10.1155/2014/980270.

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An investigation is performed to study the effect of suction/injection on unsteady hydromagnetic natural convection flow of viscous reactive fluid between two vertical porous plates in the presence of thermal diffusion. The partial differential equations governing the flow have been solved numerically using semi-implicit finite-difference scheme. For steady case, analytical solutions have been derived using perturbation series method. Suction/injection is used to control the fluid flow in the channel, and an exothermic chemical reaction of Arrhenius kinetic is considered. Numerical results are presented graphically and discussed quantitatively with respect to various parameters embedded in the problem.

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Makinde, Oluwole Daniel, and Lazarus Rundora. "Unsteady Mixed Convection Flow of a Reactive Casson Fluid in a Permeable Wall Channel Filled with a Porous Medium." Defect and Diffusion Forum 377 (September 2017): 166–79. http://dx.doi.org/10.4028/www.scientific.net/ddf.377.166.

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In the current paper, we investigate the thermal decomposition in an unsteady mixed convection flow of a reactive Casson fluid in a vertical channel filled with a saturated porous medium. The channel walls are assumed to be permeable with fluid injection through the left wall and suction out of the right wall. There is heat dissipation caused by exothermic chemical reaction within the flow system. The dimensionless form of the momentum and energy equations will be solved numerically using a semi-discretization finite difference method and a fourth order Runge-Kutta-Fehlberg integration scheme. The influence of the Casson fluid parameter, the buoyancy parameter, the porous medium shape parameter, the Eckert number, the suction/injection Reynolds number, Frank-Kamenetskii parameter and the Prandtl number on velocity and temperature profiles, skin friction and Nusselt number as well as the thermal stability criteria are presented graphically and discussed quantitatively. It is revealed that increasing the Casson fluid parameter enhances the flow velocity, the fluid temperature and the skin friction but has a diminishing effect on the wall heat transfer rate. The suction/injection Reynolds number, the porous medium shape parameter and the buoyancy parameter enhance the rate of heat transfer at the channel walls.

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Xu, Tiantian, Yu Ye, Yu Zhang, and Yifan Xie. "Recent Advances in Experimental Studies of Steady-State Dilution and Reactive Mixing in Saturated Porous Media." Water 11, no. 1 (2018): 3. http://dx.doi.org/10.3390/w11010003.

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Transverse dispersive mixing plays an important role in controlling natural attenuation of contaminant plumes and the performance of engineered remediation strategies. The extent of transverse mixing can be significantly affected by porous media heterogeneity and anisotropy. For instance, flow focusing in the high-permeability inclusions leads to an enhancement of dilution and reactive mixing in steady-state solute transport. Numerous modeling studies have been performed to understand the mechanism of conservative and reactive transport in homogeneous and complex heterogeneous porous media. However, experimental investigations are necessary to show an intuitive phenomenon and to validate the modeling results. This paper briefly reviews recent laboratory experimental studies on dilution and reactive mixing of steady-state transport in saturated homogeneous and heterogeneous porous media. In this context, setups and measuring techniques are described in pore-scale and Darcy-scale experiments. Parameters quantifying dilution and reactive mixing in the experiments are also introduced. Finally, we discuss the further experimental works necessary to deepen our understanding of dilution and reactive mixing in natural aquifers.

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Pradhan, R., K. Swain, and G. C. Dash. "Hydromagnetic Heat and Mass Transfer on a Permeable Flat Surface Embedded in a Porous Medium." Modelling, Measurement and Control B 89, no. 1-4 (2020): 1–6. http://dx.doi.org/10.18280/mmc_b.891-401.

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The steady boundary layer viscous incompressible fluid flow on a permeable flat plate embedded in a porous medium has been considered in the present study. The momentum transport phenomena are subjected to external magnetic field, permeability of the porous medium and cross flow due to presence of suction and injection. Moreover, the heat transfer phenomena consider the loss of thermal energy due to radiation and mass transfer phenomena accounts for the generative/destructive chemical reaction of the reactive species as well. Most importantly, the temperature dependent viscosity and thermal conductivity of the fluid makes the present study more realistic. The numerical solution presented through graphs brings out the interesting outcomes: The higher rate of suction enhances the fluid temperature. This observation is akin to the fact that the higher suction brings the molecules closure hence the heat transfer increases. The porous medium, embedding the plate, acts as a coolant by reducing the fluid temperature.

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Umamaheswar, M., Raju, S. V. K. Varma, and C. Sucharitha. "MHD DOUBLE DIFFUSIVE AND CHEMICALLY REACTIVE FLUID FLOW THROUGH A ROTATING POROUS PLATE." International Journal of Research -GRANTHAALAYAH 5, no. 7 (2017): 363–73. http://dx.doi.org/10.29121/granthaalayah.v5.i7.2017.2143.

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In this paper MHD rotating double diffusive and chemically reactive fluid flow past a vertical porous plate with thermal radiation and heat absorption/generation is studied. The non-dimensional governing equations involved in the present analysis are solved by using finite difference technique. The effects of various physical parameters on velocity, temperature and concentration along with skin friction, the rate of heat transfer in the form of Nusselt number and the rate of mass transfer in the form of Sherwood number are studied through the graphs and tables.

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Cvetkovic, Vladimir, and Gedeon Dagan. "Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations." Journal of Fluid Mechanics 265 (April 25, 1994): 189–215. http://dx.doi.org/10.1017/s0022112094000807.

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A Lagrangian framework is used for analysing reactive solute transport by a steady random velocity field, which is associated with flow through a heterogeneous porous formation. The reaction considered is kinetically controlled sorption–desorption. Transport is quantified by the expected values of spatial and temporal moments that are derived as functions of the non-reactive moments and a distribution function which characterizes sorption kinetics. Thus the results of this study generalize the previously obtained results for transport of non-reactive solutes in heterogeneous formations (Dagan 1984; Dagan et al. 1992). The results are illustrated for first-order linear sorption reactions. The general effect of sorption is to retard the solute movement. For short time, the transport process coincides with a non-reactive case, whereas for large time sorption is in equilibrium and solute is simply retarded by a factor R = 1+Kd, where Kd is the partitioning coefficient. Within these limits, the interaction between the heterogeniety and kinetics yields characteristic nonlinearities in the first three spatial moments. Asymmetry in the spatial solute distribution is a typical kinetic effect. Critical parameters that control sorptive transport asymptotically are the ratio εr between a typical reaction length and the longitudinal effective (non-reactive) dispersivity, and Kd. The asymptotic effective dispersivity for equilibrium conditions is derived as a function of parameters εr and Kd. A qualitative agreement with field data is illustrated for the zero- and first-order spatial moments.

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Okedoye, A. M., and S. O. Salawu. "Transient Heat and Mass Transfer of Hydromagnetic Effects on the Flow Past a Porous Medium with Movable Vertical Permeablesheet." International Journal of Applied Mechanics and Engineering 25, no. 4 (2020): 175–90. http://dx.doi.org/10.2478/ijame-2020-0057.

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AbstractAn unsteady flow of heat and species transport through a porous medium in an infinite movable vertical permeable flat surface is considered. The hydromagnetic chemical reactive fluid flow is stimulated by the thermal and solutant convection, and propelled by the movement of the surface. The formulated nonlinear flow equations in time space are solved analytically by asymptotic expansions to obtain solutions for the flow momentum, energy and chemical concentration for various thermo-physical parameters. The existence of flow characteristic is defined with the assistance of the flow parameters. In the study, the impact of some pertinent flow terms is reported and discussed. The study revealed that the species boundary layer increases with a generative chemical reaction and decreases with a destructive chemical reaction. Also, arise in the generative species reaction term reduces the flow momentum for the cooling surface. The impact of other flow governing parameters is displayed graphically as well as the fluid wall friction, wall energy and species gradients. The results of this study are important in chemical thermal engineering for monitoring processes to avoid solution blow up.

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Waqas, Hassan, Umar Farooq, Faisal Fareed Bukhari, Metib Alghamdi, and Taseer Muhammad. "Chemically reactive transport of magnetized hybrid nanofluids through Darcian porous medium." Case Studies in Thermal Engineering 28 (December 2021): 101431. http://dx.doi.org/10.1016/j.csite.2021.101431.

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Farayola, Philip Iyiola. "On Steady Flow of a Reactive Viscous Fluid in a Porous Cylindrical Pipe." Open Journal of Fluid Dynamics 07, no. 03 (2017): 359–70. http://dx.doi.org/10.4236/ojfd.2017.73024.

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Colbourne, A. A., A. J. Sederman, M. D. Mantle, and L. F. Gladden. "Accelerating flow propagator measurements for the investigation of reactive transport in porous media." Journal of Magnetic Resonance 272 (November 2016): 68–72. http://dx.doi.org/10.1016/j.jmr.2016.08.018.

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Kumar, K., I. S. Pop, and F. A. Radu. "Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium." SIAM Journal on Numerical Analysis 51, no. 4 (2013): 2283–308. http://dx.doi.org/10.1137/120880938.

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Marafie, Alia. "MODELING OF FLOW THROUGH A REACTIVE POROUS PLUG AS RELATED TO BIOLOGICAL APPLICATIONS." Journal of Porous Media 15, no. 9 (2012): 823–33. http://dx.doi.org/10.1615/jpormedia.v15.i9.20.

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VAN DUIJN, C. J., and PETER KNABNER. "Flow and reactive transport in porous media induced by well injection: Similarity solution." IMA Journal of Applied Mathematics 52, no. 2 (1994): 177–200. http://dx.doi.org/10.1093/imamat/52.2.177.

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