Heat transfer near an isolated hemispherical gas bubble: The combined influence of thermocapillarity and buoyancy

O’Shaughnessy, S.M.; Robinson, A.J.

doi:10.1016/j.ijheatmasstransfer.2013.02.064

Cited by 13 publications

(11 citation statements)

References 33 publications

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“…Those latter works dealt with the influence of Biot number in the flow solutions. The interest in understanding the influence of gravitational effects in thermo-convective phenomena has been rapidly growing [7,23]. However, less attention has been paid to the effect of the capillarity forces of the onset of the flow motion and the behavior of the bifurcations that can appear.…”

Section: Introductionmentioning

confidence: 99%

Analysis of bifurcations in a Bénard–Marangoni problem: Gravitational effects

Hoyas

Fajardo

Gil

et al. 2014

International Journal of Heat and Mass Transfer

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Abstract:This article studies the linear stability of a thermoconvective problem in an annular domain for different Bond (capillarity or buoyancy effects) and Biot (heat transfer) numbers for two set of Prandtl numbers (viscosity effects). The flow is heated from below, with a linear decreasing horizontal temperature profile from the inner to the outer wall. The top surface of the domain is open to the atmosphere and the two lateral walls are adiabatic. Different kind of competing solutions appear on localized zones of the Bond-Biot plane. The boundaries of these zones are made up of codimension two points. A co-dimension four point has been found for the first time. The main result found in this work is that in the range of low Prandtl number studied and in low-gravity conditions, capillarity forces control the instabilities of the flow, independently of the Prandtl number.

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Section: Introductionmentioning

confidence: 99%

Analysis of bifurcations in a Bénard–Marangoni problem: Gravitational effects

Hoyas

Fajardo

Gil

et al. 2014

International Journal of Heat and Mass Transfer

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“…To validate the three-dimensional numerical approach, preliminary simulations were performed with a single bubble attached to a heated wall. These results were compared to the solutions from a 2D axisymmetric model that had been validated against some external experimental results in an earlier study [13,18]. The numerical model consisted of a hemispherical bubble of 1mm radius centred in a cylindrical domain of 20mm radius and 5mm height.…”

Section: Numerical Formulationmentioning

confidence: 98%

“…Recently, O'Shaughnessy and Robinson [18] performed a combined numerical-experimental study of thermal Marangoni convection about a single hemispherical bubble. Tests were performed for a range of Marangoni numbers (145≤Ma≤915) with varying levels of gravitational acceleration between zero gravity and earth gravity in order to quantify the rates of heat transfer.…”

Section: Radulescu and Robinsonmentioning

confidence: 99%

“…The numerical model assumes steady state for an incompressible fluid with constant fluid properties (except when using the Boussinesq approximation) and an adiabatic, non-deformable hemispherical bubble interface. The governing equations of continuity, momentum and energy were nondimensionalized in accordance with the method used by Arlabosse et al [12] and more recently by O'Shaughnessy and Robinson [18]. The reference parameters are provided in Table 1.…”

Section: Numerical Formulationmentioning

confidence: 99%

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Convective heat transfer due to thermal Marangoni flow about two bubbles on a heated wall

O’Shaughnessy

Robinson

2014

International Journal of Thermal Sciences

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Three dimensional simulations of thermal Marangoni convection about two bubbles situated on a heated wall immersed in a liquid silicone oil layer have been performed to gain some insight into the thermal and flow interactions between them. The distance between the two bubbles' centres was varied between three and twenty five bubble radii to analyse the influence of the inter-bubble spacing on the flow and temperature fields and the impact upon local wall heat transfer. For zero gravity conditions, it was determined that the local wall heat flux was greatest for the smallest separation of three bubble radii, but that the increase in heat transfer over the whole domain was greatest for a separation of ten bubble radii. When the effects of gravity were included in the model, the behaviour was observed to change between the cases. At large separations between the bubbles, increasing the gravity level was found to decrease the local wall heat flux, which was consistent with two-dimensional work. At small separations however, the increase in gravity led to an increase in the local wall heat flux, which was caused by a buoyancy-driven flow formed by the interaction of secondary vortices.

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“…Following the work of Young et al, numerous theoretical and experimental studies have been devoted to further understanding these interesting and complex phenomena [7][8][9][10][11][12]. The main motivation of the aforementioned studies is the formation of surface tension gradients due to temperature variations of a liquid-gas interface which induce tangential stresses, known as Marangoni flow, and drives flows in the vicinity of the interface [13][14][15][16][17][18]. The thermocapillary migration of bubbles and drops due to the generation of interfacial flows in a non-isothermal system can be of a significant importance in a great variety of technological applications.…”

Section: Introductionmentioning

confidence: 99%

Bubble rise in a non-isothermal self-rewetting fluid and the role of thermocapillarity

Mamalis

Koutsos

Sefiane

2017

International Journal of Thermal Sciences

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We report on the motion of a buoyancy-driven bubble in a vertical micro-channel and the significant role of thermocapillarity. A series of experiments have been carried out using a circular micro-channel filled with pure liquids (pure water and pure 1-butanol) and a selfrewetting fluid (water -1-butanol 5% vol.) under isothermal and non-isothermal controlled conditions. In both cases, different mass fluxes and heat fluxes were applied on the microchannel within the same temperature gradient field (18 o C to 75 o C) which was increasing linearly in the same direction with the liquid flow. We have shown that the behaviour of the bubbles in a self-rewetting fluid departed considerably from that of pure liquids. The anomalous property of the alcohol mixture, i.e. the quasi-parabolic dependence of the surface tension with the temperature, drastically modified the movement (promoted or inhibited) and the shape (spherical or deformed) of the migrating bubbles. These phenomena were explained in terms of the location of the bubble associated with the well-defined surface tension 2 minimum, and as a function of dimensionless numbers. Heat transfer coefficient calculations in the single and two-phase flows were acquired for all the liquids used. We demonstrated that the presence of Marangoni stresses resulted in the enhancement of the heat transfer distribution in the self-rewetting fluid flows compared to the pure liquids.

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Heat transfer near an isolated hemispherical gas bubble: The combined influence of thermocapillarity and buoyancy

Cited by 13 publications

References 33 publications

Analysis of bifurcations in a Bénard–Marangoni problem: Gravitational effects

Analysis of bifurcations in a Bénard–Marangoni problem: Gravitational effects

Convective heat transfer due to thermal Marangoni flow about two bubbles on a heated wall

Bubble rise in a non-isothermal self-rewetting fluid and the role of thermocapillarity

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