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We develop a systematic method to derive all orders of mode couplings in a weakly nonlinear approach to the dynamics of the interface between two immiscible viscous fluids in a Hele-Shaw cell. The method is completely general. It includes…

Pattern Formation and Solitons · Physics 2009-10-31 E. Alvarez-Lacalle , J. Casademunt , J. Ortin

Moving contact lines of more than two phases dictate a large number of interfacial phenomena. Despite its significance to fundamental and applied processes, the contact lines at a junction of four-phases (two immiscible liquids, solid and…

Soft Condensed Matter · Physics 2020-06-14 Haitao Yu , Pallav Kant , Brendan Dyett , Detlef Lohse , Xuehua Zhang

A new mechanism for the passive removal of drop on a horizontal surface is described that does not require pre-fabrication of a surface energy gradient. The method relies upon the preparation of alternate hydrophilic/hydrophobic stripes on…

Soft Condensed Matter · Physics 2014-10-09 Manoj K. Chaudhury , Aditi Chakrabarti , Tapasya Tibrewal

This work has explored interface evolution and pinch-off mechanism of the droplet formation in two-phase flow through cross-flow microfluidic device. The two-dimensional mathematical model equations have been solved using the finite element…

Fluid Dynamics · Physics 2022-03-10 Akepogu Venkateshwarlu , Ram Prakash Bharti

A ferrofluid droplet confined in a Hele-Shaw cell can be deformed into a stably spinning ``gear,'' using crossed magnetic fields. Previously, fully nonlinear simulation revealed that the spinning gear emerges as a stable traveling wave…

Pattern Formation and Solitons · Physics 2023-05-19 Zongxin Yu , Ivan C. Christov

Cloud droplets grow via vapor condensation and collisional aggregation. Upon reaching approximately $\approx 100~{\rm \mu m}$, their inertia allows them to capture smaller droplets during descent, initiating rain. Here, we show that…

Fluid Dynamics · Physics 2024-10-16 Florian Poydenot , Bruno Andreotti

The hydrodynamics of droplets is significant in wide-ranging applications involving immiscible fluids and emulsions in food and pharmaceutical. The control and manipulation of droplets are primarily a function of flow governing and…

Fluid Dynamics · Physics 2022-01-19 Akepogu Venkateshwarlu , Ram Prakash Bharti

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

Ternary interactions between hetero-fluid particles, particularly the dynamics of droplets spreading over curved fluid interfaces remain insufficiently understood compared to the two-phase coalescence. In this study, we combine lattice…

Intuitively, droplets in proximity merge when brought into contact. However, under certain conditions, they may not coalesce due to the entrapment of an interstitial gas film. Non-coalescence between water droplets has so far been observed…

Fluid Dynamics · Physics 2025-07-18 Gopal Chandra Pal , Cheuk Wing Edmond Lam , Chander Shekhar Sharma

We employ a multi-phase smoothed particle hydrodynamics (SPH) method to study droplet dynamics in shear flow. With an extensive range of Reynolds number, capillary number, wall confinement, and density/viscosity ratio between the droplet…

Fluid Dynamics · Physics 2023-07-07 Kuiliang Wang , Hong Liang , Chong Zhao , Xin Bian

We discuss a new mechanism of drop coarsening due to coalescence only, which describes the late stages of phase separation in fluids. Depending on the volume fraction of the minority phase, we identify two different regimes of growth, where…

Fluid Dynamics · Physics 2016-01-27 Vadim Nikolayev , Daniel Beysens , Patrick Guenoun

Using an electrical method and high-speed imaging we probe drop coalescence down to 10 ns after the drops touch. By varying the liquid viscosity over two decades, we conclude that at sufficiently low approach velocity where deformation is…

Fluid Dynamics · Physics 2011-03-16 Joseph D. Paulsen , Justin C. Burton , Sidney R. Nagel

When two drops of radius $R$ touch, surface tension drives an initially singular motion which joins them into a bigger drop with smaller surface area. This motion is always viscously dominated at early times. We focus on the early-time…

Fluid Dynamics · Physics 2017-05-17 Jens Eggers , John R. Lister , Howard A. Stone

Colliding drops are widely encountered in everyday technologies and natural processes, from combustion engines and commodity sprays to raindrops and cloud formation. The outcome of a collision depends on many factors, including the impact…

Fluid Dynamics · Physics 2021-01-20 Olinka Ramírez-Soto , Vatsal Sanjay , Detlef Lohse , Jonathan T. Pham , Doris Vollmer

Precise control of multiphase microfluidic flows underpins applications ranging from chemical processing to biomedical diagnostics. We investigate the response of a liquid--liquid coflow in a rectangular microchannel to an externally…

Fluid Dynamics · Physics 2026-04-08 D. Ghosh , S. Z. Hoque , T. Sujith , N. S. Satpathi , L. Malik , A. K. Sen

Motivated by the desire to understand complex transient behaviour in fluid flows, we study the dynamics of an air bubble driven by the steady motion of a suspending viscous fluid within a Hele-Shaw channel with a centred depth perturbation.…

In this paper, the interaction between two immiscible fluids with a finite mobility ratio is investigated numerically within a Hele-Shaw cell. Fingering instabilities initiated at the interface between a low viscosity fluid and a high…

Fluid Dynamics · Physics 2021-04-01 S. J. Jackson , D. Stevens , H. Power , D. Giddings

We study the typical collisional velocities in a polydisperse suspension of droplets in two and three-dimensional turbulent flow and obtain precise theoretical estimates of the dependence of the impact velocity of particles-pairs on their…

Fluid Dynamics · Physics 2016-03-21 Martin James , Samriddhi Sankar Ray

The presence of dispersed-phase droplets can result in a notable increase in the system's drag. However, our understanding of the mechanism underlying this phenomenon remains limited. In this study, we use three-dimensional direct numerical…

Fluid Dynamics · Physics 2024-11-21 Jinghong Su , Yi-bao Zhang , Cheng Wang , Lei Yi , Fan Xu , Yaning Fan , Junwu Wang , Chao Sun