The mechanics of large bubbles rising through extended liquids and through liquids in tubes

Davies, R. M.; Taylor, F.

doi:10.1098/rspa.1950.0023

Cited by 937 publications

(110 citation statements)

References 2 publications

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“…Theoretical predictions for F r exist in the range 0.328 − 0.369 [3,2,15,22,25] with Dumitrescu's 0.351 being regarded as the most accurate [4]. The stability of large diameter bubbles is less well understood [5,1,12,14].…”

Section: Introductionmentioning

confidence: 99%

The existence and behaviour of large diameter Taylor bubbles

Pringle

Ambrose

Azzopardi

et al. 2015

International Journal of Multiphase Flow

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Large tube filling bubbles rising up through quiescent fluid in a vertical tube are commonly known as Taylor bubbles. Their apparent simplicity of form and behaviour has led to them being viewed and modelled as a paradigm for both large bubble dynamics, where there is no continuous gas flow, and slug flow for the case of continuous gas flow. Central to this approach is the question: what diameter tubes support stable Taylor bubbles? In this paper we examine the case of low viscosity Taylor bubbles through experiments and theory and show that they exist in much wider diameter tubes than had previously been reported. In order for the bubbles to be stable a settling period is required to allow the column to sufficiently quiesce. This settling period is compared favourably with the classical stability analysis of Batchelor (1987). We also observe such bubbles rising in an oscillatory manner if the gas input is abruptly curtailed. The oscillations match theoretical predictions well.

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Section: Introductionmentioning

confidence: 99%

The existence and behaviour of large diameter Taylor bubbles

Pringle

Ambrose

Azzopardi

et al. 2015

International Journal of Multiphase Flow

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“…Much of the previous research into the behaviour of Taylor bubbles has been motivated by their importance in industrial and engineering settings, particularly as components of two-phase 'slug flow' (Nicklin et al 1962, Fabré & Liné 1992. This work has included theoretical studies (Dumitrescu 1943;Davies & Taylor 1950;Goldsmith & Mason 1962;Brown 1965;Batchelor 1967), experimental studies (Davies & Taylor 1950;Goldsmith & Mason 1962;White & Beardmore 1962;Campos & Guedes de Carvalho 1988;Viana et al 2003;Nogueira et al 2006) and numerical studies (Taha & Cui 2006;Zheng et al 2007;Feng 2008;Kang et al 2010). A major goal of previous work has been to quantify the physical controls on the ascent velocity v b of Taylor bubbles (recently reviewed by Viana et al 2003) and the nature of the velocity field in the liquid around them (e.g.…”

Section: Introductionmentioning

confidence: 99%

The thickness of the falling film of liquid around a Taylor bubble

et al. 2011

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We present the results of laboratory experiments that quantify the physical controls on the thickness of the falling film of liquid around a Taylor bubble, when liquid-gas interfacial tension can be neglected. We find that the dimensionless film thickness l (the ratio of the film thickness to the pipe radius) is a function only of the dimensionless parameter N f = r gD 3 /m, where r is the liquid density, g the gravitational acceleration, D the pipe diameter and m the dynamic viscosity of the liquid. For N f 10, the dimensionless film thickness is independent of N f with value l ≈ 0.33; in the interval 10 N f 10 4 , l decreases with increasing N f ; for N f 10 4 film thickness is, again, independent of N f with value l ≈ 0.08. We synthesize existing models for films falling down a plane surface and around a Taylor bubble, and develop a theoretical model for film thickness that encompasses the viscous, inertial and turbulent regimes. Based on our data, we also propose a single empirical correlation for l (N f ), which is valid in the range 10 −1 < N f < 10 5 . Finally, we consider the thickness of the falling film when interfacial tension cannot be neglected, and find that film thickness decreases as interfacial tension becomes more important.

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“…When the angle of orientation is equal to 90°, the sliding velocity of the bubble increases with a slope more important than the two previous up to 39 ms where it will have reached a peak of 13.07 cm/s, then it decreases and is stabilized along a stage until the detachment where it leaves the wall with a velocity of 11.41 cm/s; for the three cases, we have a disturbance around 6ms then velocity decrease and increase again. In all the cases, the profile of the sliding velocity has the pace of a bubble rising in a liquid, the velocity progresses then tends towards a velocity limits of 21 cm/s, the latter is determined by the equation (7) given by Davies and Taylor (1950), it corresponds to a rise of a bubble without sliding on the wall and is higher than all velocities at the time of the detachment of the bubble.…”

Section: Sliding Velocitymentioning

confidence: 94%

Wall Orientation Effect on the Detachment of a Vapor Bubble

Baki¹,

Sahel²,

Guessab³

2017

Frontiers in Heat and Mass Transfer

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Boiling is influenced by a large number of parameters; the angle of orientation constitutes one of these parameters which have a positive impact on the heat transfer. The dynamic of the bubble plays a significant role in the improvement of heat transfer during boiling. For this reason, we are located on the bubble scale and we simulated the detachment of vapor bubble in the liquid water on a heated surface, when the angle of orientation varies from 0 to 180°. We followed the evolution of the sliding of the bubble; it appears that the thermal boundary layer is disturbed and that the heat transfer coefficient reached major proportions and the sliding velocity of the bubble depends on the orientation of the wall.

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The mechanics of large bubbles rising through extended liquids and through liquids in tubes

Cited by 937 publications

References 2 publications

The existence and behaviour of large diameter Taylor bubbles

The existence and behaviour of large diameter Taylor bubbles

The thickness of the falling film of liquid around a Taylor bubble

Wall Orientation Effect on the Detachment of a Vapor Bubble

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