Compositional Variation Considering Diffusion and Convection for a Binary Mixture in a Porous Medium

Faruque, D.; Saghir, M.Z.; Chacha, M.; Ghorayeb, Kassem

doi:10.1615/jpormedia.v7.i2.10

Cited by 8 publications

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“…Using the irreversible thermodynamics theory, Firoozabadi and Ghorayeb [16] were able to formulate a theoretical approach to determine the dependency of those coefficients on the pressure, temperature and mixture compositions. For further details, the reader should see Faruque et al [13] and Chacha et al [17].…”

Section: Mass Conservation Equationmentioning

confidence: 99%

“…Studies on the convection effect include the research work of Faruque et al [13], Jacqmin [14], Riley and Firoozabadi [5], and BenanoMelly et al [15]. Shulte [11] and Hirschberg [12] have investigated the gravitational effect on the composition variation in a one-dimensional convection-free channel.…”

Section: Introductionmentioning

confidence: 99%

“…However, they neglected any convection in their analysis, which is a natural phenomenon in real cases. Faruque et al [13] using the Firoozabadi [14] simplified his modelling with the neglect of the thermal diffusion, which is an important factor we focus on, and concluded that the convection would be balanced with the composition variation based on his perturbation theory analysis. Riley and Firoozabadi [5] studied the effect of thermal, pressure, and molecular diffusions combined with natural convection in a rectangular reservoir with a prescribed linear temperature distribution.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Jiang

Saghir

Kawaji

et al. 2004

International Journal of Thermal Sciences

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Section: Mass Conservation Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Jiang

Saghir

Kawaji

et al. 2004

International Journal of Thermal Sciences

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“…These coefficients are calculated using the analytical models presented by Chacha et al (2002) and Faruque et al (2002). Following the initial flow field described by the initial conditions (equation (10)) the time integration is performed using a first-order semi-implicit scheme.…”

Section: Numerical Procedures Sequencementioning

confidence: 99%

Influence of thermal boundary conditions on the double-diffusive process in a binary mixture

Chacha

Saghir

Vaerenbergh

et al. 2003

Philosophical Magazine

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This paper presents a precise numerical simulation of the transport processes in a rectangular cavity saturated with a binary liquid mixture. The full transient Navier-Stokes equations coupled with the mass and heat transfer equations are solved, numerically, using the finite-volume method. After validation against a proven commercial code comparing solutions on a benchmark natural convection problem, the newly developed code is used for a series of numerical experiments. Realistic thermal boundary conditions have been chosen, and the more drastic situation of power loss while conducting the experiment in microgravity is considered. The molecular and thermal diffusion coefficients are computed from theoretical models. Results reveal that, when vertical walls are held at constant but different temperatures, species separate in both the longitudinal and the transverse directions as radiation is allowed to take place along the horizontal walls. The numerical experiments performed clearly demonstrate that the kinetics of the mass transport in the mixture are conditioned by the ability to monitor the heat sources properly. Specifically, sudden temperature changes strongly disturb species separation in the experimental cells. This paper provides some trends for the accurate analysis of experiments involving mass transport inasmuch as the convective level is low enough to allow evaluation of the transport coefficients.Nomenclature c solute (butane) mass fraction (or concentration) (-) c 0 mean concentration of solute (-) c p specific heat of the mixture at constant pressure (J kg À1 K À1 ) D c mass diffusivity (m 2 s À1 ) D c average mass diffusivity (m 2 s À1 ) D M average molecular diffusivity (m 2 s À1 ) D T thermal diffusion coefficient (m 2 s À1 K À1 ) D T average thermal diffusion coefficient (m 2 s À1 K À1 ) f y y component of the body force (N m À3 )

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“…Faruque et al [8] compared the results obtained using the Firoozabadi model, with the PR equation of state, to the experimental data published by Rutherford and Roof [9]. A methane-n-butane fluid system at a composition of 0.4-mole fraction of methane and 0.6-mole fraction of normal-butane was used.…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis and comparison with experimentation of the molecular and thermal diffusion coefficients for a ternary hydrocarbon mixture

Khawaja

Jiang

Vaerenbergh

et al. 2005

Journal of Non-Equilibrium Thermodynamics

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The thermal di¤usion phenomena, also known as the Soret e¤ect, is important for the study of compositional variation in hydrocarbon reservoirs. Several theoretical models have been developed over the years to predict the thermodi¤usion coe‰cient of an organic mixture. Firoozabadi et al.[1] developed an analytical relationship between the thermal, molecular, and pressure di¤usion coe‰cients based on the approach of Dougherty and Drickamer [2]. The distinctive feature of Firoozabadi's model is its ability to be used not only for binary mixtures but also for multicomponent mixtures. The verification of Firoozabadi's model by numerical simulations was limited to binary mixtures only because of a lack of experimental data on thermodi¤usion co-e‰cients in multicomponent hydrocarbon mixtures. However, Platten et al.[3] were able to measure the thermodi¤usion coe‰cients of a ternary hydrocarbon mixture experimentally by utilizing the thermogravitational column technique, hence making it possible to verify the theoretical model. This paper will compare the density, thermodi¤usion, and molecular di¤usion coe‰cients obtained with the Fontainebleau benchmark values for binary mixtures of n-dodecane, isobutylbenzene, and tetrahydronaphtalene. The accuracy of the numerical results from the Firoozabadi's model for ternary hydrocarbon mixtures is investigated. Results reveal a positive agreement between experimental and numerical data. Brought to you by | University of Arizona Authenticated Download Date | 5/30/15 12:25 PM 360 M. Khawaja et al. J. Non-Equilib. Thermodyn. Á 2005 Á Vol. 30 Á No. 4 Brought to you by | University of Arizona Authenticated Download Date | 5/30/15 12:25 PM Di¤usion coe‰cients for a ternary hydrocarbon mixture 365

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Compositional Variation Considering Diffusion and Convection for a Binary Mixture in a Porous Medium

Cited by 8 publications

References 0 publications

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Influence of thermal boundary conditions on the double-diffusive process in a binary mixture

Theoretical analysis and comparison with experimentation of the molecular and thermal diffusion coefficients for a ternary hydrocarbon mixture

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