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We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we…

Fluid Dynamics · Physics 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

A drop rebounding from a hydrophobic and chemically heterogeneous surface is investigated using the multiphase lattice Boltzmann method. The behaviors of drop rebounding are dependent on the degrees of the hydrophobicity and heterogeneity…

Computational Physics · Physics 2021-02-04 Tingting Ji , Yongcai Pan , Yufu Shao , Bing He , Binghai Wen

We propose an extension of the Allen-Cahn model for pattern synthesis on two dimensional curved surfaces. This model is based on a single PDE and it offers improved ability of controlling the type of generated surface patterns via the…

Numerical Analysis · Mathematics 2020-08-19 Lorina Dascal , Gautam Pai , Ron Kimmel

With the aim to parallelize and monitor biological or biochemical phenomena, trapping and immobilization of objects such as particles, droplets or cells in microfluidic devices has been an intense area of research and engineering so far.…

The size distribution of aerosol droplets is a key parameter in a myriad of processes, and it is typically measured with optical aids (e.g., lasers or cameras) that require sophisticated calibration, thus making the measurement cost…

Fluid Dynamics · Physics 2025-10-23 Avshalom Offner

Pinning of liquid droplets on solid substrates is ubiquitous and plays an essential role in many applications, especially in various areas, such as microfluidics and biology. Although pinning can often reduce the efficiency of various…

Fluid Dynamics · Physics 2023-11-28 Panagiotis E. Theodorakis , Alidad Amirfazli , Bin Hu , Zhizhao Che

Colloidal droplets are used in a variety of practical applications. Some of these applications require particles of different sizes. These include medical diagnostic methods, the creation of photonic crystals, the formation of…

Soft Condensed Matter · Physics 2024-04-04 P. A. Zolotarev , K. S. Kolegov

A model for diffusion on a cubic lattice with a random distribution of traps is developed. The traps are redistributed at certain time intervals. Such models are useful for describing systems showing dynamic disorder, such as ion-conducting…

Condensed Matter · Physics 2009-10-31 S. Mandal , R. Dasgupta

We investigate the formation of stripe patterns that appear on the surface of a dry granular system as the container is deformed very slowly. In an experimental study using nearly mono-disperse glass beads, we found that many faults develop…

Statistical Mechanics · Physics 2007-05-23 So Kitsunezaki , Akemi Kurumatani

Based on a microscopic density functional theory we investigate the morphology of thin liquidlike wetting films adsorbed on substrates endowed with well-defined chemical heterogeneities. As paradigmatic cases we focus on a single chemical…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

Simulations show that when a phase-separated binary AB fluid is driven to flow past chemically patterned substrates in a microchannel, the fluid exhibits unique morphological instabilities. For the pattern studied, these instabilities give…

Soft Condensed Matter · Physics 2009-11-10 Olga Kuksenok , David Jasnow , Julia Yeomans , Anna C. Balazs

Laplace pressure driven snap-off is a technique that is used to produce droplets for emulsions and microfluidics purposes. Previous predictions of droplet size have assumed a quasi-equilibrium low flow limit. We present a simple model to…

Fluid Dynamics · Physics 2016-09-16 Solomon Barkley , Samantha J. Scarfe , Eric R. Weeks , Kari Dalnoki-Veress

The prediction of the drop size distribution (DSD) resulting from liquid atomization is key to the optimization of multi-phase flows, from gas-turbine propulsion, through agriculture, to healthcare. Obtaining high-fidelity data of liquid…

Fluid Dynamics · Physics 2023-05-30 Tullio Traverso , Thomas Abadie , Omar K. Matar , Luca Magri

In this work, we introduce the novel technique of in-chip drop on demand, which consists in dispensing picoliter to nanoliter drops on demand directly in the liquid-filled channels of a polymer microfluidic chip, at frequencies up to 2.5…

Quantitative Methods · Quantitative Biology 2009-12-16 Jie Xu , Daniel Attinger

The ordering of nanoparticles into predetermined configurations is of importance to the design of advanced technologies. In this work, we moderate the surface anchoring against the bulk elasticity of liquid crystals to dynamically shape…

Soft Condensed Matter · Physics 2023-12-01 Lisa Tran , Hye-Na Kim , Ningwei Li , Shu Yang , Kathleen J. Stebe , Randall D. Kamien , Martin F. Haase

Heterogeneous porous materials play a crucial role in various engineering systems. Microstructure characterization and reconstruction provide effective means for modeling these materials, which are critical for conducting physical property…

Computational Physics · Physics 2025-11-19 Zhenchuan Ma , Qizhi Teng , Pengcheng Yan , Lindong Li , Kirill M. Gerke , Marina V. Karsanina , Xiaohai He

We investigate the evaporation of a two-dimensional droplet on a solid surface. The solid is flat but with smooth chemical variations that lead to a space-dependent local contact angle. We perform a detailed bifurcation analysis of the…

Fluid Dynamics · Physics 2021-03-31 Michael Ewetola , Rodrigo Ledesma-Aguilar , Marc Pradas

Suspensions of micro and nano particles made of Polystyrene, Poly(methyl methacrylate), Silicon dioxide etc. have been a standard model system to understand colloidal physics. . These systems have proved useful insights into phenomena such…

Soft Condensed Matter · Physics 2017-10-04 Praneet Prakash , Manoj Varma

Droplets on hydrophobic surfaces are ubiquitous in microfluidic applications and there exists a number of commonly used multicomponent and multiphase lattice Boltzmann schemes to study such systems. In this paper we focus on a popular…

Fluid Dynamics · Physics 2011-02-02 Sebastian Schmieschek , Jens Harting
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