Heat and Mass Transfer in Reactive Porous Media With Local Nonequilibrium Conditions

Bousri, A.; Bouhadef, Khedidja; Béji, H.; Bennacer, Rachid; Nebbali, Rachid

doi:10.1615/jpormedia.v15.i4.30

Cited by 5 publications

(8 citation statements)

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“…The temperature also increases quickly in this layer from the imposed inlet temperature T in = 700 K to a stable plateau, since the heat generation is proportional to the reaction rate r as indicated by eq 10. These profiles are qualitatively similar to those reported by Bousri et al; 21 however, a direct comparison is not possible due to the different systems studied and different modeling methods adopted. Upon comparison of the profiles for different catalyst beds, the temperature increase and SO 2 concentration decrease are more significant in the first bed, and only a very small change occurs in the fourth bed.…”

Section: Simulation Results and Discussionsupporting

confidence: 87%

“…For the mass conservation in the solid phase, the gas velocity through the particle pores is negligible, and the mass diffusion effect among catalyst particles is insignificant due to the low mass diffusion coefficient in solid materials and the limited contact area between particles. As a result, the mass conservation equation for the solid phase is simpler: 20,21 C t a C C r ( )…”

Section: Two-phase Model For Transport and Reaction Processes In So 2...mentioning

confidence: 99%

“…To solve these equations, appropriate boundary conditions are necessary. Following previous studies, 10,18,19,21 we take the inlet feed gas properties for the inlet condition at x = 0:…”

Section: Two-phase Model For Transport and Reaction Processes In So 2...mentioning

confidence: 99%

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Two-Phase Dynamic Modeling and Simulation of Transport and Reaction in Catalytic Sulfur Dioxide Converters

Zhang

Shang

2019

Ind. Eng. Chem. Res.

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The catalytic sulfur dioxide converters, in which sulfur dioxide is oxidized to sulfur trioxide, are the key units in sulfuric acid plants to reduce the sulfur dioxide emission from industrial smelters into the atmosphere. In this paper, a two-phase mechanistic model for the transport and oxidation processes in such converters is developed. Important variables and mechanisms, such as mass conservation, chemical reactions, and heat transfer, are carefully considered. Using empirical relations or industrial values for the parameters, several simulations have been conducted, including the steady-state operation and dynamic responses to sudden changes in feed sulfur dioxide concentration. Such information is valuable for understanding the complex processes and dynamic behaviors in sulfur dioxide converters and other similar reactors. A direct comparison between the simulated and measured outlet temperatures has been performed for an 800 min period based on the collected industrial data from a sulfur dioxide converter. The satisfactory agreement suggests that, in addition to the ability to reveal detailed dynamic information in the sulfur dioxide oxidation process, the developed two-phase model could be useful for practical applications such as the design, operation, and maintenance of sulfur dioxide converters and other catalytic porous reactors.

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Section: Simulation Results and Discussionsupporting

confidence: 87%

Section: Two-phase Model For Transport and Reaction Processes In So 2...mentioning

confidence: 99%

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Two-Phase Dynamic Modeling and Simulation of Transport and Reaction in Catalytic Sulfur Dioxide Converters

Zhang

Shang

2019

Ind. Eng. Chem. Res.

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“…Kalia et al (2009) have introduced the temperature model into two-scale continuum model and compared the wormhole patterns under isothermal and non-isothermal conditions by changing the viscosity of acid according to temperature under liner flow [24]. Based on the work of Kalia et al, Bousri et al (2012) have studied the similar problem with local non-equilibrium conditions Open Journal of Yangtze Gas and Oil [25] and the adiabatic boundary and isothermal boundary in wormholing were discussed under radial flow [23] [26]. It demonstrated that the temperature also played a leading role in governing fluid flow as dispersion, convection and reaction did.…”

Section: Introductionmentioning

confidence: 99%

Wormholing Influenced by Injection Temperature in Carbonate Rocks

Xue¹,

Huang²,

Zhao³

et al. 2019

OJOGas

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This paper presented empirical models of describing reaction rate vs. hydrochloric acid temperature and concentration by regressing experimental data. And this paper also introduced the dependent reaction heat model into the thermal non-equilibrium models and coupled with two-scale continuum model to obtain governing equations for describing wormholing under non-isothermal conditions. The governing equations were discretized by implicit difference method and solved by programing. The effects of temperature on wormholing have been investigated based on the simulation results on 2-D vision. A significant difference of the effluent temperature between the dependent reaction heat model in present work and the constant reaction heat model in available literatures was observed, especially in high injection rate and strong acid concentration. In addition, the tendencies of optimum injection capacity vs. injection temperature under isothermal and non-isothermal conditions were almost different. Finally, an optimum injection temperature was found by changing the injection temperature under non-isothermal conditions. 13Open Journal of Yangtze Gas and Oil the production of carbonate reservoirs were based on investigations of the initiation and propagation of wormholes or unstable dissolution fronts. Many mathematical models were developed to describe the wormhole patterns observed in experiment results [1] [2] [3] [4]: the capillary tube model [5] [6] [7]; the network model [8]; the averaged model [4] [9]; the fractal model [1] [2]. Pangaet al. (2005) coupled Darcy-scale dissolution model with the pore-scale model to summarize the governing equations which is called the two-scale continuum model [10]. In this model, the macroscopic properties such as mass transfer coefficients and dispersion properties were properly considered. Since the results calculated from the two-scale continuum model matched experiment results very well, most of the extension simulation studies were based on them. Kalia and Balakotaiah (2007) studied dissolution patterns in radial flow by extending the linear model to radial model [11]. Maheshwari et al. (2013) analyzed the 3-D dissolution patterns [12]. Smith et al. (2013) simulated core CO 2 flooding of low permeability carbonates coupled with X-ray computed microtomography (XCMT) [13]. The wormholing process is very complicated since there are many known factors influencing convection, dispersion and reaction properties, such as acid system, concentration of acid, porosity or permeability distribution, fracture or vug medium, injection conditions, acid flow types and temperature. In the physical heterogeneities, Kalia and Balakotaiah (2009) used a unique heterogeneity parameter to characterize porosity heterogeneity, and found that the dissolution depended on the orientation of fractures [14]; Liu et al. (2012) introduced a The designate parameters f γ , m Cl , B HCl , E and C HCl in Equation (8) are given by Alkattan et al. (1998) [28]. Pore Scale ModelThe dissolution process determined local qua...

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“…A simple chemical reaction, + → , can change the physical properties such as viscosity or density of the fluids, which might affect the fate of the displacement process. Reactive flows are encountered in many applications such as in situ oil recovery, carbon dioxide sequestration, in situ groundwater remediation and chromatographic columns, transport of contaminant, laminar combustive and exothermic reactive flows, natural convection heat and mass transport, and reactive porous media for biological applications [10][11][12][13][14]. It has been shown that a frontal instability can be purely driven by a chemical reaction, where a viscous product is generated at the interface of two reactants with smaller viscosities [15].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media

Alhumade

Azaiez

2015

Mathematical Problems in Engineering

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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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Heat and Mass Transfer in Reactive Porous Media With Local Nonequilibrium Conditions

Cited by 5 publications

References 0 publications

Two-Phase Dynamic Modeling and Simulation of Transport and Reaction in Catalytic Sulfur Dioxide Converters

Two-Phase Dynamic Modeling and Simulation of Transport and Reaction in Catalytic Sulfur Dioxide Converters

Wormholing Influenced by Injection Temperature in Carbonate Rocks

Numerical Simulations of Gravity Driven Reversible Reactive Flows in Homogeneous Porous Media

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