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We investigate the interfacial dynamics involved in the impact of a droplet on a liquid-liquid system, which involves the impingement of an immiscible core liquid drop from a vertical separation onto an interfacial shell liquid layer…

Fluid Dynamics · Physics 2024-08-20 Akash Chowdhury , Sirshendu Misra , Sushanta K. Mitra

An useful approximation for the displacement of two immiscible fluids in a porous medium is the Hele-Shaw model. We consider several liquids with different constant viscosities, inserted between the displacing fluids. The linear stability…

Fluid Dynamics · Physics 2020-08-31 Gelu Paşa}

We develop a general method for determining the effective interaction potential between two or more droplets suspended within a fluid phase. Our approach is based on classical density functional theory. Here, we apply the method to…

Soft Condensed Matter · Physics 2026-03-20 A. J. Archer , D. N. Sibley , B. D. Goddard

Micro droplets are extensively used in chemical, biological, and medical research, primarily for conducting various tests on samples, including living organisms, using a microfluidic framework. Recent studies have shown that the physiology…

Fluid Dynamics · Physics 2025-05-27 Siddhant Jain , Saini Jatin Rao , Shubhadeep Mandal , Cameron Tropea , Saptarshi Basu

We propose a generic model for thin films and shallow drops of a polar active liquid that have a free surface and are in contact with a solid substrate. The model couples evolution equations for the film height and the local polarization…

Fluid Dynamics · Physics 2021-07-20 Sarah Trinschek , Fenna Stegemerten , Karin John , Uwe Thiele

With the Lattice Boltzmann method (using the BGK approximation) we investigate the dynamics of Hele-Shaw flow under conditions corresponding to various experimental systems. We discuss the onset of the instability (dispersion relation), the…

Statistical Mechanics · Physics 2009-11-07 Patrick Grosfils , Jean Pierre Boon

Long-range intermolecular forces are able to steer polar molecules submerged in superfluid helium nanodroplets into highly polar metastable configurations. We demonstrate that the presence of such special structures can be identified, in a…

In this study, micro-droplets are placed on thin, glassy, free-standing films where the Laplace pressure of the droplet deforms the free-standing film, creating a bulge. The film's tension is modulated by changing temperature continuously…

Soft Condensed Matter · Physics 2017-06-26 Adam Fortais , Rafael D. Schulman , Kari Dalnoki-Veress

Biological cells utilize membranes and liquid-like droplets, known as biomolecular condensates, to structure their interior. The interaction of droplets and membranes, despite being involved in several key biological processes, is so far…

Soft Condensed Matter · Physics 2024-02-21 Marcel Mokbel , Dominic Mokbel , Susanne Liese , Christoph A. Weber , Sebastian Aland

A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the nonlinear stage of the…

Fluid Dynamics · Physics 2020-07-15 Alexander Chesnokov , Valery Liapidevskii

Microfluidic techniques have been extensively developed to realize micro-total analysis systems in a small chip. For microanalysis, electro-magnetic forces have generally been utilized for the trapping of objects, but hydrodynamics has been…

Fluid Dynamics · Physics 2021-04-22 Takuya Ohmura , Masatoshi Ichikawa , Ken-ichiro Kamei , Yusuke T. Maeda

We hypothesize that dynamical systems concepts used to study the transition to turbulence in shear flows are applicable to other transition phenomena in fluid mechanics. In this paper, we consider a finite air bubble that propagates within…

Fluid Dynamics · Physics 2020-07-01 J. S. Keeler , A. B. Thompson , G. Lemoult , A. Juel , A. L. Hazel

A droplet bouncing on the surface of a vibrating liquid bath can move horizontally guided by the wave it produces on impacting the bath. The wave itself is modified by the environment, and thus the interactions of the moving droplet with…

Fluid Dynamics · Physics 2019-07-19 Rahil N. Valani , Anja C. Slim

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

In the field of microdroplet manipulation, optical tweezers have been used to form and grow droplets, to transport them, or to measure forces between droplet pairs. However, the exploration of out-of-equilibrium phenomena in optically…

We develop a mesoscale computational model to describe the interaction of a droplet with a solid. The model is based on the hybrid combination of the immersed boundary and the lattice Boltzmann computational schemes: the former is used to…

The non-linear interaction between air and a water droplet just prior to high-speed impingement on a surface is a phenomenon that has been researched extensively and occurs in a number of industrial settings. The role that surface…

Fluid Dynamics · Physics 2021-10-07 Nathaniel I. J. Henman , Frank T. Smith , Manish K. Tiwari

The dynamics of spherical particles driven along an interface between two immiscible fluids is investigated asymptotically. Under the assumptions of a pinned three-phase contact line and very different viscosities of the two fluids, a…

Soft Condensed Matter · Physics 2015-04-01 Aaron Dörr , Steffen Hardt

The interaction acoustic radiation force in a standing plane wave applied to each small solid sphere in a two-particle system immersed in a viscoelastic fluid is studied in a framework based on perturbation theory. In this work, the first-…

Fluid Dynamics · Physics 2023-03-29 Fateme Eslami , Hossein Hamzehpour , Sanaz Derikvandi , S. Amir Bahrani

Over 125 years ago, Henry Selby Hele-Shaw realized that the depth-averaged flow in thin gap geometries can be closely approximated by two-dimensional (2D) potential flow, in a surprising marriage between the theories of viscous-dominated…

Fluid Dynamics · Physics 2026-04-09 Lingyun Ding , Terry Wang , Marcus Roper