Correlation for dynamic contact angle
TL;DR: In this paper, a correlation is suggested for available experimental measurements of the advancing dynamic contact angle measured through the liquid phase during the displacement of a liquid-gas interface through a glass capillary tube.
About: This article is published in Journal of Colloid and Interface Science.The article was published on 1979-03-15. It has received 300 citations till now. The article focuses on the topics: Contact angle & Wetting transition.
Citations
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TL;DR: In this article, a single drop impact onto a dry, partially wettable substrate and its numerical simulation was investigated. And the authors showed that existing empirical models for the dynamic contact angle (e.g., Hoffman-Voinov-Tanner law) do not predict well the change of dynamic contact angles, especially at high capillary numbers.
Abstract: This paper presents results of an experimental investigation of a single drop impact onto a dry, partially wettable substrate and its numerical simulation Particularly, the drop spreading diameter and the dynamic contact angle are measured at different time instants after impact Two surfaces, wax (low wettability) and glass (high wettability), are used to study the effect of surface wettability (static contact angle) on the impact dynamics It is shown that existing empirical models for the dynamic contact angle (eg, Hoffman–Voinov–Tanner law) do not predict well the change of the dynamic contact angle, especially at high capillary numbers In addition to the experimental investigations, the drop impact was studied numerically, focusing primarily on the contact angle treatment The singularity in the neighborhood of the moving contact line is removed from the computational domain and replaced by a local force with some dependence on the instantaneous advancing/receding contact-line velocity The predicted time dependence of the drop spreading diameter and of the dynamic contact angle agrees well with the experimental data for both the advancing and receding phases of the impact process
437 citations
01 Apr 2008
TL;DR: The h(t) solution, as it includes the gravity term (hydrostatic pressure), enables the calculation of the liquid rise behavior for longer times than the classical Lucas-Washburn equation.
Abstract: We derive an analytic solution for the capillary rise of liquids in a cylindrical tube or a porous medium in terms of height h as a function of time t. The implicit t(h) solution by Washburn is the basis for these calculations and the Lambert W function is used for its mathematical rearrangement. The original equation is derived out of the 1D momentum conservation equation and features viscous and gravity terms. Thus our h(t) solution, as it includes the gravity term (hydrostatic pressure), enables the calculation of the liquid rise behavior for longer times than the classical Lucas-Washburn equation. Based on the new equation several parameters like the steady state time and the validity of the Lucas-Washburn equation are examined. The results are also discussed in dimensionless form.
314 citations
TL;DR: In this paper, a detailed review of the physical processes during 3D printing and the fundamental science of densification after sintering and post-heat treatment steps are provided to understand the microstructural evolution and properties of binder jetted parts.
293 citations
TL;DR: In this article, a mesh-dependent dynamic contact angle model is presented, which is based on fundamental hydrodynamics and serves as a more appropriate boundary condition at a moving contact line.
239 citations
TL;DR: A review of the published articles on contact angles and summarizes the views of the both sides can be found in this article, where the weak and strong sides of both three-phase contact line and contact area approaches are discussed in detail and some practical conclusions are drawn.
229 citations
References
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TL;DR: In this article, the shape of the advancing liquid-air interface has been studied in a glass capillary over the range in which viscous and interfacial forces are the dominant factors controlling the system.
853 citations
01 Oct 1976
470 citations
TL;DR: The shape of an equilibrium fluid interface that extends far outward from a circular line of contact is calculated and tabulated as a function of radius of the contact circle, interface inclination or contact angle there, interfacial tension, density difference across the interface, and force of gravity as discussed by the authors.
236 citations
TL;DR: In this paper, the steady movement of a liquid meniscus in a circular capillary tube has been examined theoretically for dynamic contact angles close to 90° with minute slippage of the liquid on the solid, thus relaxing the conventional no-slip boundary condition.
Abstract: The steady movement of a liquid meniscus in a circular capillary tube has been examined theoretically for dynamic contact angles close to 90° with minute slippage of the liquid on the solid, thus relaxing the conventional no-slip boundary condition. The resulting flow field does not produce an unbounded force at the contact line, contrary to that with the no-slip condition. The interfacial velocity, wall stress, fluid pressure and the meniscus shape are calculated, and the significance of dynamic contact-angle measurements is discussed. A modified version of the classical Washburn equation which takes account of the meniscus also reveals the importance of slippage.
208 citations
TL;DR: In this article, an apparatus and procedure for growing a bubble of one fluid with constant radial velocity between parallel solid plates, so displacing a second fluid, was described, and the process can be reversed, so that both advancing and receding angles can be studied as a function of the interfacial velocity.
181 citations