A study of the advancing interface. I. Interface shape in liquid—gas systems

Hoffman, Richard L.

doi:10.1016/0021-9797(75)90225-8

Cited by 876 publications

(613 citation statements)

References 17 publications

Supporting

Mentioning

565

Contrasting

Unclassified

Order By: Relevance

“…as first measured by Hoffman (1975) and later established by Tanner (1979). This relationship accounts for viscous dissipation at the contact line and leads to a reduced driving pressure during imbibition (Guyon et al 2001).…”

Section: Theoretical Formulationmentioning

confidence: 72%

Dynamics of elastocapillary rise

2011

View full text Add to dashboard Cite

We present the results of a combined experimental and theoretical investigation of the surface-tension-driven coalescence of flexible structures. Specifically, we consider the dynamics of the rise of a wetting liquid between flexible sheets that are clamped at their upper ends. As the elasticity of the sheets is progressively increased, we observe a systematic deviation from the classical diffusive-like behaviour: the time to reach equilibrium increases dramatically and the departure from classical rise occurs sooner, trends that we elucidate via scaling analyses. Three distinct temporal regimes are identified and subsequently explored by developing a theoretical model based on lubrication theory and the linear theory of plates. The resulting free-boundary problem is solved numerically and good agreement is obtained with experiments.

show abstract

Section: Theoretical Formulationmentioning

confidence: 72%

Dynamics of elastocapillary rise

2011

View full text Add to dashboard Cite

show abstract

“…This assumption may be especially critical for the initial moments of capillary rise as the flow velocities reach their maximum value there [12][13][14]. Empirical equations are available for the dynamic contact angle θ d ; Jiang et al [17] (based on data by Hoffman [18]) give…”

Section: Limitations Of the Modelmentioning

confidence: 99%

The transition from inertial to viscous flow in capillary rise

Fries

Dreyer

2008

Journal of Colloid and Interface Science

187

142

View full text Add to dashboard Cite

We investigate the initial moments of capillary rise of liquids in a tube. In this period both inertia and viscous flow losses balance the pressure generated by the meniscus curvature (capillary pressure). It is known that the very first stage is purely dominated by inertial forces, where subsequently the influence of viscosity increases (visco-inertial flow). Finally the effect of inertia vanishes and the flow becomes purely viscous. In this study we derive the times and meniscus heights at which the transition between the time periods occur. This is done in an attempt to provide a method to determine a priori which terms of the momentum balance are relevant for a given problem. Analytic solutions known from previous literature are discussed and the time intervals of their validity compared. The predicted transition times and the calculated heights show good agreement with experimental results from literature. The results are also discussed in dimensionless form and the limitations of the calculations are pointed out.

show abstract

“…In general, the wetting dynamics of a liquid depend on the interfacial tension and viscosity of the liquid [9]. Hoffman showed that the characteristic moving velocity of three-phase contact lines can be described by γ/η, where γ and η are the surface tension and viscosity of the liquid, respectively [10]. In our previous study, we observed anomalous wetting behavior for aqueous alcohol solutions on agar gel surfaces [11].…”

Section: Introductionmentioning

confidence: 89%

Wetting dynamics of colloidal dispersions on agar gel surfaces

Seino

Chida

Mayama

et al. 2014

Colloids and Surfaces B: Biointerfaces

View full text Add to dashboard Cite

Statistical summary:The total number of words = 4700The total number of tables = 1The total number of figures = 5 2 / 27 ABSTRACT We have analyzed the effects of the addition of silica particles on the wetting velocity at flat and fractal agar gel surfaces and the applicability of such particles for controlling the wetting dynamics of water. We found that the contact angle (θ D ) of colloidal dispersions followed the power law θ D ∝ t −x , where t and x are time and a constant. The wetting is inhibited by the addition of a suitable amount of silica particles with a diameter of 20 nm. Specifically, the lowest value for the exponent x occurred when the silica composition was 0.1 wt%. However, such inhibition effects were not observed on the addition of silica particles with a diameter of 100, 550 and 1000 nm. The mechanism of inhibition of the wetting of liquids on gel surfaces can be attributed to slight increase in the local viscosity around the contact line during wetting.

show abstract

A study of the advancing interface. I. Interface shape in liquid—gas systems

Cited by 876 publications

References 17 publications

Dynamics of elastocapillary rise

Dynamics of elastocapillary rise

The transition from inertial to viscous flow in capillary rise

Wetting dynamics of colloidal dispersions on agar gel surfaces

Contact Info

Product

Resources

About