Hydrodynamic theory of rising foam

Stevenson, Paul

doi:10.1016/j.mineng.2006.10.003

Cited by 84 publications

(63 citation statements)

References 17 publications

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“…As a result, we have well-defined boundary conditions at each end of the tube, allowing us to sidestep the challenging theoretical conditions of an open overflow. The attractive nature of rspa.royalsocietypublishing.org Proc R Soc A 469: 20120727 the U-tube has also been noted for experimental work, used for example by Martin et al [4] (who compared their results with previous models by Stevenson [5]). …”

Section: Introductionmentioning

confidence: 65%

“…We also comment on the work of the Stevenson group [2,5,15], which has significant points in common with our analysis.…”

Section: Introductionmentioning

confidence: 84%

“…Qualitatively, this generalization can also be further extended to the form of drainage equation used by Stevenson [5]. For the node-dominated drainage model (fully mobile interfaces), n = 3/2 [9] and for the channel-dominated drainage model (rigid interfaces), as used in the main body of this article, n = 2.…”

Section: Generalizationmentioning

confidence: 97%

“…Thus, in the general case, the quadratic form for J(V) is lost but v remains proportional to V. The constant of proportionality k(n) is given by 5) where the constant d(n) is the real positive root of…”

Section: Generalizationmentioning

confidence: 99%

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A model system for foam fractionation

et al. 2013

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A model system for theory and experiment that is relevant to foam fractionation consists of a column of foam moving through an inverted U-tube between two pools of surfactant solution. The foam drainage equation and its variants are used for a theoretical analysis of this process. In the limit in which the lengths of the two legs is large (L → ∞), exact analytic formulae may be derived for the key properties of the system. Numerical computations and experiments support these results.

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Section: Introductionmentioning

confidence: 65%

“…We also comment on the work of the Stevenson group [2,5,15], which has significant points in common with our analysis.…”

Section: Introductionmentioning

confidence: 84%

Section: Generalizationmentioning

confidence: 97%

Section: Generalizationmentioning

confidence: 99%

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A model system for foam fractionation

et al. 2013

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“…In this paper, it will be shown how drift-flux analysis of the froth phase can be reconciled with the recent hydrodynamic theory of pneumatic foams of Stevenson (2007a). In particular, a method of estimating the equilibrium condition of the froth phase will be presented by analogy with Stevenson's theory of rising foam.…”

Section: Introductionmentioning

confidence: 94%

On the drift‐flux analysis of flotation and foam fractionation processes

2008

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Drift-flux analyses are a common way of estimating the phase fractions and fluxes in vertical multiphase flows. However their use has had scant impact on the flotation and foam fractionation communities despite the publication of a number of such analyses over the past two decades. By recognizing that the physics that underpin the hydrodynamics of the froth are dissimilar to those that pertain to the bubbly liquid beneath, we present a drift-flux analysis with two characteristic curves. A method for obtaining the characteristic curve for the froth from experimental data for the drainage of stationary foams is presented.Les analyses de flux de dérive sont une façon commune d'estimer les fractions et flux de phase dans lesécoulements polyphasiques verticaux. Toutefois, leur utilisation a eu un impact négligeable pour les problèmes de flottation et de fractionnement de mousse malgré la publication de plusieurs analyses semblables au cours des deux dernières décennies. Tout en reconnaissant que la physique sur laquelle est fondée l'hydrodynamique de l'écume diffère de celles du liquide bullant situé en dessous, nous présentons une analyse de flux de dérive avec deux courbes caractéristiques. Une méthode pour obtenir la courbe caractéristique de l'écumeà partir des données expérimentales de drainage des mousses en régime stationnaire est présentée.

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Processes Calculations and Their Applications

2011

Food and Package Engineering

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Hydrodynamic theory of rising foam

Cited by 84 publications

References 17 publications

A model system for foam fractionation

A model system for foam fractionation

On the drift‐flux analysis of flotation and foam fractionation processes

Processes Calculations and Their Applications

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