Asymptotics of a catenoid liquid bridge between two spherical particles with different radii and contact angles

2019 ◽  
Vol 31 (6) ◽  
pp. 062102 ◽  
Keyword(s):  
Liquid Bridge ◽  
Contact Angles ◽  
Spherical Particles

Exact Solution for Capillary Bridges Properties by Shooting Method

2017 ◽  
Vol 72 (4) ◽  
pp. 315-320 ◽  
Author(s):  
Li Qiang-Nian ◽  
Zhang Jia-Qi ◽  
Zhou Feng-Xi
Keyword(s):  
Exact Solution ◽  
Liquid Bridge ◽  
Capillary Force ◽  
Shooting Method ◽  
Moving Boundary ◽  
Contact Angles ◽  
Spherical Particles ◽  
Capillary Bridge ◽  
Capillary Suction ◽  
Wet Particles

AbstractThe investigation of liquid bridge force acting between wet particles has great significance in many fields. In this article, the exact solution of capillary force between two unequal-sized spherical particles is investigated. Firstly, The Young-Laplace equation with moving boundary is converted into a set of ordinary differential equations with two fix point boundary using variable substitution technique, in which the gravity effects have been neglected. The geometry of the liquid bridge between two particles is solved by shooting method. After that, the gorge method is applied to calculate the capillary-bridge force that is consists of contributions from the capillary suction and surface tension. Finally, the effect of various parameters including distance between two spheres, radii of spheres, and contact angles on the capillary force are investigated. It is shown that the presented approach is an efficient and accurate algorithm for capillary force between two particles in complex situations.

Stretching and rupture of a viscous liquid bridge between two spherical particles

2020 ◽  
Author(s):  
Xiangqi Li ◽  
Dengfei Wang ◽  
Fenglei Huang ◽  
Ziqi Cai ◽  
Zhengming Gao
Keyword(s):  
Viscous Liquid ◽  
Liquid Bridge ◽  
Spherical Particles

Capillary-Based Liquid Micro/Nano Deposition

2011 ◽  
Author(s):  
Artur Lutfurakhmanov ◽  
Yechun Wang ◽  
Douglas L. Schulz ◽  
Iskander S. Akhatov
Keyword(s):  
Liquid Bridge ◽  
Liquid Droplet ◽  
Applied Pressure ◽  
Deposition Process ◽  
Contact Angles ◽  
Liquid Pressure ◽  
Bridge Formation ◽  
Non Invasive ◽  
Two Parameters ◽  
Nano Imprint

Micro/Nanolithography is a creation of micro/nano features on the substrate. Several lithography techniques have been recently developed, including dip-pen nanolithography, nano-imprint lithography, electron-beam lithography, and photolithography. However, all these techniques possess some limitations because of a direct contact with the substrate. This paper proposes a new method that is non-invasive both to the substrate and to the writing tip. The method is based on hollow capillary filled with liquid to be deposited. The application of pressure from one side of capillary causes the liquid meniscus to form at the capillary outlet. Touching the substrate with the meniscus only leads to the liquid bridge formation between the capillary and the substrate. Withdrawing the capillary away from the substrate causes deposition of liquid droplet on the substrate. Theoretical modeling reveals two possible regimes of the liquid bridge formation: stable — “good” bridge and unstable — “bad” bridge. Liquid bridge stability map was created based on two parameters: liquid pressure and the capillary-substrate distance. It was found that the main parameter responsible for the deposition process is the applied pressure. Three pressure ranges were identified with different deposition scenarios. The influence of liquid-capillary and liquid-substrate equilibrium contact angles along with the capillary wall thickness on the liquid bridge stability is discussed.

Numerical Studies of Stretching Liquid Bridges Between Two Spherical Solid Particles With Different Contact Angles

2010 ◽  
Author(s):  
Pirooz Darabi ◽  
Konstantin Pougatch ◽  
Martha Salcudean ◽  
Dana Grecov
Keyword(s):  
Contact Angle ◽  
Capillary Number ◽  
Contact Angles ◽  
Solid Particles ◽  
Spherical Particles ◽  
Liquid Bridges ◽  
Liquid Distribution ◽  
Liquid Transfer ◽  
Static Conditions ◽  
Rupture Distance

Numerical simulations of the governing Navier-Stokes equations are used to predict the rupture and liquid distribution of stretching liquid bridges between two equal-sized solid spherical particles with different liquid-solid contact angles. A commercial computational fluid dynamics (CFD) tool — FLUENT — is used. The effects of the capillary number and contact angle on the rupture distance and liquid transfer fraction are studied. The simulation results show that for particles with different contact angles, the rupture distance increases as the capillary number is increased; this is similar to the case of particles with identical contact angles. Also, it is shown that for quasi-static conditions, the rupture distance decreases as the difference between the contact angles is increased. Plots of the variations of the liquid transfer fraction with respect to the capillary number show three zones: (1) for high capillary numbers, liquid is almost equally distributed (dynamic zone); (2) for low capillary numbers, the liquid transfer fraction depends on the contact angles and more liquid is transferred to the particle with the smaller contact angle (quasi-static zone); (3) at intermediate capillary numbers, the curve connecting the above limiting conditions resembles an S-shape (transition zone), showing the dependency of the liquid distribution on both capillary number and contact angles. The trends are consistent with the experimental findings published in the literature.

Novel, Gasketless, Interconnect Using Parallel Superhydrophobic Surfaces for Modular Microfluidic Systems

2011 ◽  
Author(s):  
Christopher R. Brown ◽  
Bahador Farshchian ◽  
Pin-Chuan Chen ◽  
Taehyun Park ◽  
Sunggook Park ◽  
...  
Keyword(s):  
Steady State ◽  
Analytical Model ◽  
Liquid Bridge ◽  
Contact Angles ◽  
Superhydrophobic Surfaces ◽  
Maximum Pressure ◽  
The Novel ◽  
Microfluidic Systems ◽  
Order Of Magnitude ◽  
State Pressure

A novel, modular, microfluidic interconnect was developed using parallel superhydrophobic interfaces to facilitate the transport of fluids between component chips in modular microfluidic systems. A static analytical model, derived from the Laplace equation [1], approximates the maximum steady-state pressure of the liquid at the liquid bridge which forms across the gap between the chips. Preliminary experiments using parallel superhydrophobic surfaces on PMMA validated the concept. Additional experiments controlled the gap distance, measured contact angles of the superhydrophobic surfaces, gradually increased the pressure of the novel, gasketless, interconnect until rupture to find the maximum pressure across the liquid bridge and verify the model. The measured pressures were on the same order of magnitude (1–10 kPa) as estimated using the model for gap distances of 25 μm and 100 μm.

Analysis of liquid bridge between spherical particles

2007 ◽  
Vol 5 (6) ◽  
pp. 420-424 ◽  
Author(s):  
Fusheng Mu ◽  
Xubin Su
Keyword(s):  
Liquid Bridge ◽  
Spherical Particles
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