Boundary conditions for free surface inlet and outlet problems

Taroni, Michele; Breward, Christopher; Howell, Peter; Oliver, James M.

doi:10.1017/jfm.2012.275

Cited by 10 publications

(21 citation statements)

References 29 publications

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“…where we introducedσ = σ h ∞ . For Bo = 0, one recovers the result by Taroni et al (2012). The wavelength of the ripples is encoded in the rootsσ of equation 3.5.…”

Section: The Ripple Wavelength At Finite Ca and Bomentioning

confidence: 85%

“…The linear analysis for finite , without gravity, was carried out by Taroni et al. (2012) for generic free surface inlet and outlet problems in coating flows. In fact, Taroni et al.…”

Section: Linear Analysis Of the Ripplesmentioning

confidence: 99%

“…In coating problems (Ruschak 1985; Weinstein & Ruschak 2004), the ripples dictate the boundary conditions when small-scale flow properties determine far-field flow conditions (Bretherton 1961; Giavedoni & Saita 1999; Taroni et al. 2012). For forced wetting transitions, they give rise to intricate oscillatory bifurcation scenarios (Ziegler, Snoeijer & Eggers 2009; Köpf & Thiele 2014; Lin et al.…”

Section: Introductionmentioning

confidence: 99%

“…The experiments are interpreted using a linear wave analysis, closely following theoretical work on generic coating flows by Taroni et al. (2012). At high velocity, it is shown that ripples disappear due to the effect of large capillary numbers, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Capillary ripples in thin viscous films

2019

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Capillary ripples on thin viscous films are important features of coating and lubrication flows. Here we present experiments based on Digital Holographic Microscopy, measuring the morphology of capillary ripples ahead of a viscous drop spreading on a prewetted surface with a nanoscale resolution. Our experiments reveal that upon increasing the spreading velocity, the amplitude of the ripples first increases and subsequently decreases. Above a critical spreading velocity, the ripples even disappear completely and this transition is accompanied by a divergence of the ripple wavelength. These observations are explained quantitatively using linear wave analysis, beyond the usual lubrication approximation, illustrating that new phenomena arise when the capillary number becomes order unity.

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“…where we introducedσ = σ h ∞ . For Bo = 0, one recovers the result by Taroni et al (2012). The wavelength of the ripples is encoded in the rootsσ of equation 3.5.…”

Section: The Ripple Wavelength At Finite Ca and Bomentioning

confidence: 85%

“…The linear analysis for finite , without gravity, was carried out by Taroni et al. (2012) for generic free surface inlet and outlet problems in coating flows. In fact, Taroni et al.…”

Section: Linear Analysis Of the Ripplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Capillary ripples in thin viscous films

2019

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“…However, this method may be adapted for any film-forming flow. This work was followed by Taroni [7] and extended for a finite contact angle.…”

Section: Introductionmentioning

confidence: 99%

Lubricant Rupture Ratio at Elastohydrodynamically Lubricated Contact Outlet

et al. 2015

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Elastohydrodynamically lubricated (EHL) contacts rarely exist as single contacts. Multiple contacts or single contacts subjected to the repeated over-rolling represent more often the case in practical applications. A typical example is the rolling element bearing. A lubricant rupture mechanism at each contact outlet determines the lubricant availability to the succeeding contact. This work presents a quantitative description of the lubricant film thickness rupture in EHL contact outlet with the use of the fluorescent microscopy. A rupture ratio of the film thickness between two diverging surfaces exiting the contact was measured for both pure rolling and rolling-sliding conditions. The influence of variation of several parameters such as lubricant properties, rolling speed or rolling element ellipticity to the lubricant rupture ratio was investigated. Understanding of the physical phenomena of the lubricant rupture extends further possibilities in both experimental and theoretical researches of the starved EHL.

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CFD analysis of blade coating from a reservoir onto a horizontal substrate using a homogeneous two‐phase model

Singh

Ormiston

2021

Can J Chem Eng

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A two-phase numerical analysis is performed of two-dimensional, laminar, liquid flow from a reservoir onto a horizontal, rigid, moving substrate. The homogeneous two-phase model in commercial CFD code CFX is used to model the liquid plus a region containing both liquid and air near the phase interface and downstream of the blade region. Slow convergence due to surface tension modelling required initialization from intermediate results omitting surface tension. Comparisons made with two previous numerical analyses demonstrate the performance of this approach. For a particular upstream reservoir geometry, the effects of changing the substrate speed and the liquid properties from a Newtonian fluid to a Carreau-Yasuda non-Newtonian fluid on the pressure field and the downstream film height are studied. The details of the liquid recirculation in the reservoir and the overall pressure distribution are discussed. New results are presented for the meniscus position and contact angle, which are fully predicted by the two-phase approach. The meniscus position was strongly influenced by substrate speed and liquid properties, whereas the contact angle did not change significantly with changes in substrate speed and dynamic viscosity for the Newtonian fluid nor with changes in the functional parameters for the non-Newtonian fluid.

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Boundary conditions for free surface inlet and outlet problems

Cited by 10 publications

References 29 publications

Capillary ripples in thin viscous films

Capillary ripples in thin viscous films

Lubricant Rupture Ratio at Elastohydrodynamically Lubricated Contact Outlet

CFD analysis of blade coating from a reservoir onto a horizontal substrate using a homogeneous two‐phase model

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