Marangoni instability of immiscible liquid–liquid stratified flow with a planar interface in the presence of interfacial mass transfer

You, Xue-yi; Zhang, Le-Dao; Zheng, Jingru

doi:10.1016/j.jtice.2013.08.007

Cited by 16 publications

(4 citation statements)

References 22 publications

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“…If the flow is driven by a pressure gradient, then the appropriate plug velocities are the average velocities of the two phases, as calculated by integrating Equations (15) and (16). This model can also be applied to extraction in electro-osmotic flow, wherein the transverse velocity profile is spatially uniform [3,4].…”

Section: D Plug Model: Plug Flow Between Infinite Flat Platesmentioning

confidence: 99%

“…However, it has also been observed that the interface becomes wavy at certain flow rates. There is a possibility that Marangoni forces could play a role in producing these waves at the interface [16]. Furthermore, it is not clear whether or not these waves have a significant effect on extraction.…”

Section: Indian Chemical Engineer 2015mentioning

confidence: 99%

“…Studies that consider pressure-driven stratified flow are typically restricted to the case of solutes that are either insoluble (thus trapped at the interface) or only soluble in one fluid. An exception is the work of You et al [16] who study the stability of stratified flow between flat plates, when the two plates are maintained at a fixed concentration difference. They find that Marangoni stresses can affect the stability of the interface.…”

Section: Introductionmentioning

confidence: 99%

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Modelling Extraction in Microchannels with Stratified Flow: Channel Geometry, Flow Configuration and Marangoni Stresses

Picardo

Radhakrishna

Vir

et al. 2015

Indian Chemical Engineer

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In this work, we present a hierarchy of mathematical models for extraction in microchannels with two-phase stratified flow. A flat stable inter-fluid interface is considered. We present three models for rectangular channels, of varying degrees of complexity: 2D, 1D Laminar and 1D Plug models. The predictions of these models are compared with each other and with experiments reported in the literature. Conditions under which a simpler 1D model can replace the complex 2D model are identified. Next, a detailed model for channels with a circular cross-section is developed using bipolar cylindrical coordinates. We also show how a much simpler description can be obtained by applying the 1D rectangular channel models to a circular channel. The relative performance of co-current and countercurrent flow configurations is analysed next, using the 1D Plug flow model. Finally, the model is extended to account for Marangoni stresses that result from the variation of interfacial tension with solute concentration. The effect of Marangoni stresses on extraction in stable stratified flow is found to be insignificant. This is because the flow induced by Marangoni stresses is too weak to control the pressure-driven primary flow.

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Section: D Plug Model: Plug Flow Between Infinite Flat Platesmentioning

confidence: 99%

Section: Indian Chemical Engineer 2015mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modelling Extraction in Microchannels with Stratified Flow: Channel Geometry, Flow Configuration and Marangoni Stresses

Picardo

Radhakrishna

Vir

et al. 2015

Indian Chemical Engineer

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show abstract

“…They carried out the classical linear instability analysis. Several previous studies and many efforts have been conducted to elucidate the convective structures during mass transfer [9][10][11][12][13][14][15]. In most cases, they are studied under Sternling-Scriven conditions.…”

Section: Introductionmentioning

confidence: 99%

Interfacial Instabilities During Interphase Mass Transfer of Propionic Acid

Fettar Leila,

Bekkouche Samia,

Kadja Mahfoud

et al. 2024

ARFMTS

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We present a numerical study of the transient two-dimensional solutal Marangoni convection which occurs at the interface of a two isothermal layers’ system made of two immiscible liquids. The solute is propionic acid and is transferred through the interface from the organic phase to the aqueous phase under gravity condition. The unsteady state of this interfacial convection problem is mathematically described by the Navier-Stokes and solute mass transfer equations in both phases. The Hele Shaw approximation was incorporated in these equations and the resulting equations were solved using the COMSOL Multiphysics software. The latter is based on the finite elements’ method. The results obtained are in good agreement with the experiments and suggest that the mass transfer rate is stronger when the acid diffusion and the instability occur together.

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Parametric Study on Marangoni Instability in Two-Layer Creeping Flow

Agrawal,

Deepu

2024

Lecture Notes in Mechanical Engineering

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Marangoni instability of immiscible liquid–liquid stratified flow with a planar interface in the presence of interfacial mass transfer

Cited by 16 publications

References 22 publications

Modelling Extraction in Microchannels with Stratified Flow: Channel Geometry, Flow Configuration and Marangoni Stresses

Modelling Extraction in Microchannels with Stratified Flow: Channel Geometry, Flow Configuration and Marangoni Stresses

Interfacial Instabilities During Interphase Mass Transfer of Propionic Acid

Parametric Study on Marangoni Instability in Two-Layer Creeping Flow

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