Holdup characteristics of two-phase parallel microflows

Vir, Anil B.; Kulkarni, Shekhar R.; Picardo, Jason R.; Sahu, Avinash; Pushpavanam, S.

doi:10.1007/s10404-013-1269-7

Cited by 20 publications

(22 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The volume fraction or holdup of each phase (a, which specifies the interface location), however, depends on the specific velocity profile that is used in each model. Specifying the flow rates, in the 2D model and the 1D Laminar model, completely determines the pressure drop and the holdup [18]. These will have different values for each model.…”

Section: Comparison Of the Modelsmentioning

confidence: 99%

“…Equations (17) and (18) are subject to the relevant subset of boundary and initial conditions given in Equations (9)- (11). Equations (17) and (18) are solved numerically using the Method of Lines.…”

Section: Indian Chemical Engineer 2015mentioning

confidence: 99%

“…The unidirectional velocity field is given by the following analytical formulae [10,18]: v 2D 1 y; z ð Þ ¼ X 1…”

Section: Indian Chemical Engineer 2015mentioning

confidence: 99%

“…Equations (17) and (18) are solved numerically using the Method of Lines. The y-direction is discretised using finite differences.…”

Section: Indian Chemical Engineer 2015mentioning

confidence: 99%

“…The velocity field for fully developed flow between flat plates may be obtained analytically as [18]:…”

Section: Indian Chemical Engineer 2015mentioning

confidence: 99%

See 4 more Smart Citations

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

Picardo

Radhakrishna

Vir

et al. 2015

Indian Chemical Engineer

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Comparison Of the Modelsmentioning

confidence: 99%