Viscous beads on vertical fibre

Kliakhandler, Igor L.; Davis, Stephen H.; Bankoff, S. G.

doi:10.1017/s0022112000003268

Cited by 151 publications

(257 citation statements)

References 18 publications

Supporting

Mentioning

223

Contrasting

Order By: Relevance

“…1 in Ref. [8]. In the first case of flow regime (a), the drops are large and move rapidly and the flow rates are relatively large.…”

Section: Introductionmentioning

confidence: 94%

See 1 more Smart Citation

Thermocapillary effect on the dynamics of viscous beads on vertical fiber

Liu

2014

Phys. Rev. E

View full text Add to dashboard Cite

The gravity-driven flow of a thin liquid film down a uniformly heated vertical fiber is considered. This is an unstable open flow that exhibits rich dynamics including the formation of droplets, or beads, driven by a Rayleigh-Plateau mechanism modified by the presence of gravity as well as the variation of surface tension induced by temperature disturbance at the interface. A linear stability analysis and a nonlinear simulation are performed to investigate the dynamic of axisymmetric disturbances. The results showed that the Marangoni instability and the Rayleigh-Plateau instability reinforce each other. With the increase of the thermocapillary effect, the fiber flow has a tendency to break up into smaller droplets.

show abstract

“…1 in Ref. [8]. In the first case of flow regime (a), the drops are large and move rapidly and the flow rates are relatively large.…”

Section: Introductionmentioning

confidence: 94%

“…Kliakhandler et al [8] conducted experiments that revealed the richness of the dynamics of the flow of a thick film down a vertical fiber. Three qualitatively different regimes of the interfacial patterns in the form of beads were observed experimentally.…”

Section: Introductionmentioning

confidence: 99%

Thermocapillary effect on the dynamics of viscous beads on vertical fiber

Liu

2014

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…Kliakhandler, Davis, and Bankoff [12] conducted experiments that revealed the richness of the dynamics of the flow * rongliu@guet.edu.cn † z.ding@bristol.ac.uk down a vertical fiber. In their experiments, the film is at least twice as thick as the fiber radius.…”

Section: Introductionmentioning

confidence: 99%

“…The authors proposed an evolution equation that does not rely on the previously made thin-film assumptions. Craster and Matar [13] derived a new evolution equation similar to that used by Kliakhandler, Davis, and Bankoff [12], and they revisited the same problem in which the fluid radius is much smaller than its characteristic length based upon a capillary length scale.…”

Section: Introductionmentioning

confidence: 99%

Stability of viscous film flow coating the interior of a vertical tube with a porous wall

Liu

Ding

2017

Phys. Rev. E

View full text Add to dashboard Cite

This is the final published version of the article (version of record). It first appeared online via APS Physics at https://doi.org/10.1103/PhysRevE.95.053101 . Please refer to any applicable terms of use of the publisher. University of Bristol -Explore Bristol Research General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms PHYSICAL REVIEW E 95, 053101 (2017) The stability of the gravity-driven flow of a viscous film coating the inside of a tube with a porous wall is studied theoretically. We used Darcy's law to describe the motion of fluids in a porous medium. The Beaver-Joseph condition is used to describe the discontinuity of velocity at the porous-fluid interface. We derived an evolution equation for the film thickness using a long-wave approximation. The effect of velocity slip at the porous wall is identified by a parameter β. We examine the effect of β on the temporal stability, the absolute-convective instability (AI-CI), and the nonlinear evolution of the interface deformation. The results of the temporal stability reveal that the effect of velocity slip at the porous wall is destabilizing. The parameter β plays an important role in determining the AI-CI behavior and the nonlinear evolution of the interface. The presence of the porous wall promotes the absolute instability and the formation of the plug in the tube. Stability of viscous film flow coating the interior of a vertical tube with a porous wall

show abstract

“…We utilise their experimental parameters for silicon oil here; they are γ = 21.9 dyn/cm, ρ = 0.986 g/cm 3 , and H = 0.085 cm. Equation (1) was derived under the assumption that H L to ensure the thinness of the film, but also requires that H R. The complementary regime of flow down the outside of a narrow fibre, for which the radius of the cylinder is much less than the film thickness, was investigated in many previous studies [3,6].…”

Section: C379mentioning

confidence: 99%

Numerical solutions for thin film flow down the outside and inside of a vertical cylinder

Mayo

McCue

Moroney

2013

ANZIAMJ

View full text Add to dashboard Cite

We consider a model for thin film flow down the outside and inside of a vertical cylinder. Our focus is the effect the curvature of the cylinder has on the gravity driven instability of the advancing contact line and to simulate the resulting fingering patterns that form due to this instability. The governing partial differential equation is fourth order with a nonlinear degenerate diffusion term that represents the stabilising effect of surface tension. We present numerical solutions obtained by implementing an efficient alternating direction implicit scheme. When compared to the problem of flow down a vertical plane, we find that increasing substrate curvature tends to increase the fingering instability for flow down the outside of the cylinder, whereas flow down the inside of the cylinder substrate curvature has the opposite effect. Further,

show abstract

Viscous beads on vertical fibre

Cited by 151 publications

References 18 publications

Thermocapillary effect on the dynamics of viscous beads on vertical fiber

Thermocapillary effect on the dynamics of viscous beads on vertical fiber

Stability of viscous film flow coating the interior of a vertical tube with a porous wall

Numerical solutions for thin film flow down the outside and inside of a vertical cylinder

Contact Info

Product

Resources

About