Fundamental theory for prediction of multicomponent mass transfer in single-liquid drops at intermediate Reynolds numbers (10⩽Re⩽250)

Uribe, Agustín R.; Korchinsky, W.J.

doi:10.1016/s0009-2509(99)00568-0

Cited by 14 publications

(11 citation statements)

References 14 publications

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“…As shown by many examples [12], the GMS confirm experimentally observed phenomena of multicomponent systems which are (i) reverse diffusion (diffusion of a component against its concentration gradient), (ii) osmotic diffusion (transport of a component in the absence of a concentration gradient), and (iii) diffusion barrier (no transport of a component although its concentration gradient is nonzero). Since these diffusional coupling effects are significant for liquid-liquid extraction systems as demonstrated experimentally and theoretically by Krishna et al [13] and others [14,15], the GMS seem to be sufficient for the simulation of multicomponent extraction processes. Following the detailed survey of Taylor and Krishna [16], a brief outline of the model equations used in this work is given.…”

Section: Maxwell-stefan Relations For Mass Transfer Across Fluid Intementioning

confidence: 94%

Multicomponent Mass Transfer Model for Supercritical Extraction: Application to Isopropyl Alcohol Production

et al. 2009

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A multicomponent mass transfer model based on the generalized Maxwell-Stefan equations (GMS) for an extraction process with supercritical fluids is presented. The solution is obtained from the differential film model equations rather than from an explicit expression for the fluxes. The approach presented here also provides concentration profiles along the diffusion path length, which allow rigorous consideration of the dependence of mass transfer coefficients and thermodynamic factors on concentration, if desired. The volume translated Peng-Robinson equation of state is used along with a g E mixing rule (g E -molar excess Gibbs free energy) in order to account for strongly nonideal thermodynamics that necessarily arise in unstable liquid mixtures. The results show strong diffusional coupling effects for the system under consideration, propene (1)-isopropyl alcohol (2)-water (3). Finally, we demonstrate how diffusional coupling may provide options for process intensification.

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Section: Maxwell-stefan Relations For Mass Transfer Across Fluid Intementioning

confidence: 94%

Multicomponent Mass Transfer Model for Supercritical Extraction: Application to Isopropyl Alcohol Production

et al. 2009

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“…The first incorporation of the flow fields computed using the model of Leclair et al [7] into a model of gas absorption was realized by Baboolal et al [14], as mentioned by Elperin and Fominykh [15]. The work of Uribe-Ramírez and Korchinsky [16] presented a theory yielding an analytical solution for the mass transfer rate at intermediate Reynolds number. In the most recent works, an increasing numbers of authors used Computational Fluid Dynamics to compute the flow fields in both phases, such as in works of Waheed et al [17], or Paschedag et al [18].…”

Section: Introductionmentioning

confidence: 99%

Gas absorption into a spherical liquid droplet: Numerical and theoretical study

Wylock¹,

Colinet²,

Haut³

2012

Chemical Engineering Journal

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This work deals with the modeling and the direct numerical simulation of the absorption of a gas component into a spherical liquid droplet in free fall, where the absorbed component takes part to a chemical reaction. This study is realized by computing the flow fields and the concentration fields simultaneously in the gas and liquid phases. The time evolution of the droplet global mass absorption rate is studied for various regimes characterized by the Reynolds and the Hatta numbers. The monitoring of the time evolution of the concentration fields in the droplet enables the understanding of the interactions between the diffusive and convective mass transports and the chemical reaction. The phenomena controlling the mass transfer rate and how they evolve during the mass absorption process can then be identified. In a first stage, the case of the physical absorption is studied. Moreover, analytical expressions are developed to correlate the time evolution of the Sherwood number with the Reynolds number and the absorption time. In a second stage, the influence of the coupling with a chemical reaction is studied. It is observed that several rate-limiting mechanisms successively control the global absorption rate, enlightening the complex interactions between convective and diffusive mass transport and the chemical reaction.

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“…Apart from multi-component effects, another complicating feature of mass transfer in liquid-liquid extraction is circulation [19][20][21][22][23][24][25][26][27]. It has been described [24][25][26] how circulation drives material around an internal stagnation point located typically quite close to the equatorial plane and at a radial coordinate about 0.7 of the radius of the drop. Circulation speeds up mass transfer compared to a rigid (non-circulating) drop by advecting material from the drop surface to the drop interior.…”

Section: Introductionmentioning

confidence: 99%

“Reprint of Numerical simulation of multi-component mass transfer in rigid or circulating drops: Multi-component effects even in the presence of weak coupling”

Ubal

Grassia²,

Harrison

et al. 2011

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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Fundamental theory for prediction of multicomponent mass transfer in single-liquid drops at intermediate Reynolds numbers (10⩽Re⩽250)

Cited by 14 publications

References 14 publications

Multicomponent Mass Transfer Model for Supercritical Extraction: Application to Isopropyl Alcohol Production

Multicomponent Mass Transfer Model for Supercritical Extraction: Application to Isopropyl Alcohol Production

Gas absorption into a spherical liquid droplet: Numerical and theoretical study

“Reprint of Numerical simulation of multi-component mass transfer in rigid or circulating drops: Multi-component effects even in the presence of weak coupling”

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