Soret Effect for a Ternary Mixture in Porous Cavity: Modeling With Variable Diffusion Coefficients and Viscosity

Jaber, T. J.; Yan, Yu; Saghir, M. Ziad

doi:10.1115/1.2960492

Cited by 5 publications

(4 citation statements)

References 10 publications

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“… The Soret effect of two ternary mixtures in a homogenous porous medium cavity was studied for different permeabilities. A publication related to this contribution is Jaber and Saghir ( 2006), Jaber et al (2008a), andJaber et al (2008b).…”

Section:   mentioning

confidence: 99%

Theoretical and Experimental Investigation of Thermodiffusion (Soret Effect) in a Porous Medium

Jaber¹

2023

Preprint

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Thermodiffusion (the Soret effect) is important for the study of compositional variation in hydrocarbon reservoirs. The development of research history, theoretical modeling and applications to multicomponent hydrocarbon mixtures is included in this work. The Firoozabadi model appears to be an appropriate model for thermodiffusion estimation for hydrocarbon mixtures, and it is derived based on the equation of entropy generation rate and four postulates in non-equilibrium thermodynamics. Two equations of state, the Peng-Robinson Equation of State (PR-EoS) and the volume translated Peng Robinson Equation of State (vt-PR-EoS), have been used to estimate the thermodynamic properties of mixtures. In this work, different cases are presented: first, a new thermodiffusion cell designed to perform high pressure measurements in a porous medium has been validated at atmospheric pressure. Two systems were investigated, (1) 1,2,3,4-tetrahydronaphtalene (THN) and n-dodecane (nC12), and (2) isobutylbenzene (IBB) and n-dodecane at 50% of mass fraction. Experimental results revealed an excellent agreement with benchmark values and a good agreement with theoretical data. Second, the thermal expansion and concentration expansion coefficients and the viscosity of mixtures are necessary properties for the determination of the thermodiffusion coefficient. The densities of binaries of nC12, IBB and THN for pressures from 0.1 to 20 MPa and a temperature centred on 25⁰ were measured. By an derivative method, the thermal expansion and concentration expansion coefficients were determined. Viscosities were directly measured using a high pressure high temperature viscometer. Finally, the thermosolutal convections of two ternary mixtures, methane (C1), n-butane (nC4) and n-dodecane (nC12) at a pressure of 35.0 MPa and nC12, THN and IBB at atmospheric pressure, in a porous medium, were investigated over a wide range of permeability. The effect of permeability in the homogeneous and heterogeneous porous media on fluid transport was studied with consideration of thermodiffusion and molecular diffusion. In the analysis of the homogeneous porous medium, it was found that, for permeability below 300 mD, the thermodiffusion for both mixtures was dominant; and above this level, buoyancy convection became the dominant mechanism. Also, the viscosity was found to influence the evaluation of the molecular and thermodiffusion coefficients. In the case of heterogeneous porous medium, the impact of permeability ratio on the composition of the mixture components, velocity in the porous medium and on the separation ratio was investigated. It was found that the heterogeneity of porous medium has a significant influence on the composition of the mixture components.

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Section:   mentioning

confidence: 99%

Theoretical and Experimental Investigation of Thermodiffusion (Soret Effect) in a Porous Medium

Jaber¹

2023

Preprint

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“…Initially, the Dougherty and Drickamer model was modified for predicting thermodiffusion coefficients for binary linear chain hydrocarbon mixtures [19]. Thermodiffusion coefficients of C 10 À nC i (i ¼ 5, 6,7,15,16,17,18), C 12 À nC i (i ¼ 5, 6,7,8,9), and C 18 À nC i (i ¼ 5, 6,7,8,9,12) were calculated by the new proposed model. Comparisons of the calculated theoretical results with the experimental data showed a good performance of the proposed model.…”

Section: Molecular Diffusion and Thermodiffusion Modelmentioning

confidence: 99%

“…Results showed that the natural convection has an important role on the phase distribution in the gas and oil non-isothermal medium. Jaber et al [8] simulated Soret effect for a ternary mixture in porous cavity considering variable viscosity and diffusion coefficients. It was found that for a permeability below 200 md, the thermodiffusion has a dominant effect; and above this level, buoyancy convection becomes the dominant mechanism.…”

Section: Introductionmentioning

confidence: 99%

Study of thermodiffusion of carbon dioxide in binary mixtures of n-butane & carbon dioxide and n-dodecane & carbon dioxide in porous media

Abbasi

Saghir

Kawaji

2011

International Journal of Thermal Sciences

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“…The role of the separation ratio, characterizing the Soret effect and the normalized porosity are investigated theoretically and numerically. Many investigations devoted to study the Soret effect on the onset of convection in binary and ternary mixtures in a porous medium can be found in the articles by Goldobin and Lyubimov (2007); Mansour et al (2007Mansour et al ( , 2008 ;Jaber et al (2008); Narayana et al (2008); Gaikwad et al (2009a,b). Recently, the effects of Brownian diffusion and the thermophoresis were applied to the HortonRogers-Lapwood problem (the onset of convection in a horizontal layer of a porous medium uniformly heated from below) by Nield and Kuznetsov (2009) and Nield (2010, 2011).…”

Section: Introductionmentioning

confidence: 98%

Linear and Nonlinear Double-Diffusive Convection in a Fluid-Saturated Porous Layer with Cross-Diffusion Effects

Malashetty

Biradar

2011

Transp Porous Med

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The double-diffusive convection in a horizontal fluid-saturated porous layer, which is heated and salted from below in the presence of Soret and Dufour effects, is studied analytically using both linear and nonlinear stability analyses. The linear analysis is based on the usual normal mode technique, while the nonlinear analysis is based on truncated representation of Fourier series. The generalized Darcy model that includes the time derivative is employed for the momentum equation. The critical Rayleigh number, wavenumber for stationary and oscillatory modes, and frequency of oscillations are obtained analytically using linear theory. The effects of solute Rayleigh number, Lewis number, normalized porosity parameter, Vadasz number, Soret and Dufour parameters on the stationary, oscillatory convection, and heat and mass transfers are shown graphically. The Vadasz number has dual effect on the threshold of the oscillatory convection. Some known results are recovered as special cases of the present problem.

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Soret Effect for a Ternary Mixture in Porous Cavity: Modeling With Variable Diffusion Coefficients and Viscosity

Cited by 5 publications

References 10 publications

Theoretical and Experimental Investigation of Thermodiffusion (Soret Effect) in a Porous Medium

Theoretical and Experimental Investigation of Thermodiffusion (Soret Effect) in a Porous Medium

Study of thermodiffusion of carbon dioxide in binary mixtures of n-butane & carbon dioxide and n-dodecane & carbon dioxide in porous media

Linear and Nonlinear Double-Diffusive Convection in a Fluid-Saturated Porous Layer with Cross-Diffusion Effects

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