Speeding up thermocapillary migration of a confined bubble by wall slip

Liao, Ying‐Chih; Li, Yen Ching; Chang, Yi‐Chung; Huang, Chuanjun; Wei, Hsien Hung

doi:10.1017/jfm.2014.117

Cited by 13 publications

(6 citation statements)

References 39 publications

(84 reference statements)

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“…2016; Zhang, Sprittles & Lockerby 2020; Kavokine, Netz & Bocquet 2021; Kavokine, Bocquet & Bocquet 2022) and has been known to be crucial to dynamics of a variety of interfacial flows (Liao et al. 2014; Halpern, Li & Wei 2015; Martínez-Calvo, Moreno-Boza & Sevilla 2020; Zhao et al. 2022).…”

Section: Introductionmentioning

confidence: 99%

“…For example, silicone oil on a solid wall made of nylon, used in Quéré's experiments (Quéré 1990), has been found to exhibit non-negligible fluid slippage (Brochard-Wyart et al 1994;Lauga, Brenner & Stone 2007). This slip effect has attracted much research attention recently (Secchi et al 2016;Zhang, Sprittles & Lockerby 2020;Kavokine, Netz & Bocquet 2021;Kavokine, Bocquet & Bocquet 2022) and has been known to be crucial to dynamics of a variety of interfacial flows (Liao et al 2014;Halpern, Li & Wei 2015;Martínez-Calvo, Moreno-Boza & Sevilla 2020;Zhao et al 2022). For a cylindrical film, Ding & Liu (2011) proposed a lubrication equation incorporating slip to explore the instability of a film flowing down a porous vertical fibre.…”

Section: Introductionmentioning

confidence: 99%

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Slip-enhanced Rayleigh–Plateau instability of a liquid film on a fibre

Zhao

Zhang

2023

J. Fluid Mech.

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Boundary conditions at a liquid–solid interface are crucial to dynamics of a liquid film coated on a fibre. Here, a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid–solid slip on the Rayleigh–Plateau instability of a cylindrical film on a fibre. The new model not only shows that the slip-enhanced growth rate of perturbations is overestimated by the classical lubrication model, but also indicates a slip-dependent dominant wavelength, instead of a constant value obtained by the lubrication method, which leads to larger drops formed on a more slippery fibre. The theoretical findings are validated by direct numerical simulations of Navier–Stokes equations via a volume-of-fluid method. Additionally, the slip-dependent dominant wavelengths predicted by our model agree with the experimental results provided by Haefner et al. (Nat. Commun., vol. 6, issue 1, 2015, 7409).

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Slip-enhanced Rayleigh–Plateau instability of a liquid film on a fibre

Zhao

Zhang

2023

J. Fluid Mech.

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“…One of the important physical factors is liquid-solid slip, which has recently attracted substantial research interest (Secchi et al 2016;Zhang, Sprittles & Lockerby 2020;Kavokine, Netz & Bocquet 2021;Kavokine, Bocquet & Bocquet 2022) and been found to influence the dynamics of various interfacial flows (Liao et al 2014;Halpern, Li & Wei 2015;Zhao et al 2022). For the case of cylindrical films, Ding & Liu (2011) introduced a lubrication equation incorporating slip conditions to investigate the instability of films descending along porous vertical fibres.…”

Section: Introductionmentioning

confidence: 99%

“…2016; Zhang, Sprittles & Lockerby 2020; Kavokine, Netz & Bocquet 2021; Kavokine, Bocquet & Bocquet 2022) and been found to influence the dynamics of various interfacial flows (Liao et al. 2014; Halpern, Li & Wei 2015; Martínez-Calvo, Moreno-Boza & Sevilla 2020 a ; Zhao et al. 2022).…”

Section: Introductionmentioning

confidence: 99%

Inertia and slip effects on the instability of a liquid film coated on a fibre

Zhao,

Qiao,

et al. 2024

J. Fluid Mech.

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To investigate the influence of inertia and slip on the instability of a liquid film on a fibre, a theoretical framework based on the axisymmetric Navier–Stokes equations is proposed via linear instability analysis. The model reveals that slip significantly enhances perturbation growth in viscous film flows, whereas it exerts minimal influence on flows dominated by inertia. Moreover, under no-slip boundary conditions, the dominant instability mode of thin films remains unaltered by inertia, closely aligning with predictions from a no-slip lubrication model. Conversely, when slip is introduced, the dominant wavenumber experiences a noticeable reduction as inertia decreases. This trend is captured by an introduced lubrication model with giant slip. Direct numerical simulations of the Navier–Stokes equations are then performed to further confirm the theoretical findings at the linear stage. For the nonlinear dynamics, no-slip simulations show complex vortical structures within films, driven by fluid inertia near surfaces. Additionally, in scenarios with weak inertia, a reduction in the volume of satellite droplets is observed due to slip, following a power-law relationship.

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“…In many real situations of thermocapillary motion, fluid drops are not isolated (Meyyappan et al, 1983;Anderson, 1985;Keh and Chen, 1990, 1992Kasumi et al, 2000;Nas et al, 2006;Yin et al, 2011;Katz et al, 2012;Liao et al, 2014) and it is needed to understand how the proximity of a boundary affects the applicability of Eq. (2) for a fluid drop.…”

Section: Introductionmentioning

confidence: 99%

Thermocapillary Migration of a Fluid Sphere in a Circular Tube

Chiu¹,

Keh²

2016

AJHMT

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The thermocapillary motion of a spherical fluid drop along the axis of a circular tube, whose wall may be either insulated or prescribed with a linear temperature distribution, is investigated theoretically in the steady limit of negligible Marangoni and Reynolds numbers. The proximity of the tube wall causes two effects on the thermocapillary migration velocity of the drop: the temperature gradients along the drop surface are altered, thereby the drop is slowed down or speeded up, and the viscous drag on the drop is enhanced. The general solutions to the energy and momentum equations are constructed in combined circular cylindrical and spherical coordinates, and then the boundary conditions are enforced on the tube wall by the Fourier transform and along the drop surface by a collocation method. The collocation results for the normalized drop velocity, obtained as decreasing functions of the drop-to-tube radius ratio, are in good agreement with the asymptotic formulas derived from a method of reflections. The normalized thermocapillary mobility increases/decreases with an increase in the relative thermal conductivity of the drop for the case of a conducting/insulating tube wall and increases with an increase in the relative viscosity of the drop. The boundary effect on the thermocapillary migration of a drop in a tube, which is relatively weak in comparison with the corresponding effect on its sedimentation, is found to be conspicuously different from that in a slit with two plane walls.

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Speeding up thermocapillary migration of a confined bubble by wall slip

Cited by 13 publications

References 39 publications

Slip-enhanced Rayleigh–Plateau instability of a liquid film on a fibre

Slip-enhanced Rayleigh–Plateau instability of a liquid film on a fibre

Inertia and slip effects on the instability of a liquid film coated on a fibre

Thermocapillary Migration of a Fluid Sphere in a Circular Tube

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