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In this note we derive a new nonlocal and nonlinear dispersive equations capturing the main dynamics of a circular interface separating a light, viscous fluid rising buoyantly through a heavy, more viscous, miscible fluid at small Reynolds…

Analysis of PDEs · Mathematics 2024-12-24 Rafael Granero-Belinchón

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

Displacement experiments carried out in microfluidic porous media analogs show that reduced surface tension leads to a more stable displacement, opposite to the process in Hele-Shaw cells where surface tension stabilizes the displacement of…

Fluid Dynamics · Physics 2012-10-17 Wei Xu , Jeong Tae Ok , Keith Neeves , Xiaolong Yin

Fully nonlinear numerical simulation of two dimensional Faraday waves between two incompressible and immiscible fluids is performed by adopting the phase-field method with the Cahn-Hilliard equation due to Jacqmin (1999) [J. Comput. Phys.,…

Fluid Dynamics · Physics 2012-02-21 Kentaro Takagi , Takeshi Matsumoto

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

Soft Condensed Matter · Physics 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

An advanced Volume of Fluid (VOF) method is presented that enables performant three-dimensional Direct Numerical Simulations (DNS) of the interaction of two immiscible fluids in a gaseous environment with large topology changes, e.g.,…

Fluid Dynamics · Physics 2023-11-08 Johanna Potyka , Kathrin Schulte

We use a lattice gas cellular automata model in the presence of random dynamic scattering sites and quenched disorder in the two-phase immiscible model with the aim of producing an interface dynamics similar to that observed in Hele-Shaw…

Fluid Dynamics · Physics 2015-08-06 R. M. Azevedo , R. R. Montenegro-Filho , M. D. Coutinho-Filho

An interface between two media is topologically stable two-dimensional object where 3D-symmetry breaks which allows for existence of many exotic excitations. A direct way to explore surface excitations is to investigate their interaction…

Other Condensed Matter · Physics 2018-03-29 I. Todoshchenko

We investigate the relationship between the linear surface wave instabilities of a shallow viscous fluid layer and the shape of the periodic, parametric-forcing function (describing the vertical acceleration of the fluid container) that…

Fluid Dynamics · Physics 2009-11-11 Cristian Huepe , Yu Ding , Paul Umbanhowar , Mary Silber

We investigated the Rayleigh-Plateau instability at the interface between two immiscible liquids of equal viscosity using molecular dynamics simulations. Two types of initial conditions were considered, one with an imposed single-mode…

Soft Condensed Matter · Physics 2025-12-02 Shunta Kikuchi , Hiroshi Watanabe

In this paper, we study the fluid-structure interaction (FSI) of a three-dimensional (3D) flexible membrane immersed in an unsteady separated flow at moderate Reynolds numbers. We employ a body-conforming variational FSI solver based on the…

Fluid Dynamics · Physics 2023-06-22 Guojun Li , Rajeev Kumar Jaiman , Boo Cheong Khoo

This work outlines a new three-dimensional diffuse interface finite volume method for the simulation of multiple solid and fluid components featuring large deformations, sliding and void opening. This is achieved by extending an existing…

Computational Physics · Physics 2021-06-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

We report on an experimental realization of a bi-directional soliton gas in a 34~m-long wave flume in shallow water regime. We take advantage of the fission of a sinusoidal wave to inject continuously solitons that propagate along the tank,…

Fluid Dynamics · Physics 2019-06-26 Ivan Redor , Eric Barthélemy , Hervé Michallet , Miguel Onorato , Nicolas Mordant

Gravity shapes liquids and play a crucial role in their internal balance. Creating new equilibrium configurations irrespective of the presence of a gravitational field is challenging with applications on earth as well as in zero-gravity…

Fluid Dynamics · Physics 2022-01-05 Benjamin Apffel , Samuel Hidalgo-Caballero , Antonin Eddi , Emmanuel Fort

Microdrop impact and spreading phenomena are explored as an interface formation process using a recently developed computational framework. The accuracy of the results obtained from this framework for the simulation of high deformation…

Fluid Dynamics · Physics 2015-06-04 J. E. Sprittles , Y. D. Shikhmurzaev

We study the generation of 2D turbulence in Faraday waves by investigating the creation of spatially periodic vortices in this system. Measurements which couple a diffusing light imaging technique and particle tracking algorithms allow the…

Fluid Dynamics · Physics 2014-05-09 N. Francois , H. Xia , H. Punzmann , S. Ramsden , M. Shats

The steady motion and deformation of a lipid-bilayer vesicle translating through a circular tube in low Reynolds number pressure-driven flow are investigated numerically using an axisymmetric boundary element method. This fluid-structure…

Fluid Dynamics · Physics 2020-05-05 Paul G. Chen , J. M. Lyu , M. Jaeger , M. Leonetti

A rectangular grid formed by liquid filaments on a partially wetting substrate evolves in a series of breakups leading to arrays of drops with different shapes distributed in a rather regular bidimensional pattern. Our study is focused on…

Fluid Dynamics · Physics 2017-10-25 Ingrith Cuellar , Pablo D. Ravazzoli , Javier A. Diez , Alejandro G. González

We investigate nonlinear periodic and solitary two-dimensional rolling waves in a falling two-layer liquid film in the regime of non-zero Reynolds numbers. At any flow rate, a falling two-layer liquid film is known to be linearly unstable…

Fluid Dynamics · Physics 2023-02-28 Andrey Pototsky , Ivan S. Maksymov

We consider the mixing of a viscous fluid by the rotation of a pitched blade turbine inside an open, cylindrical tank, with air as the lighter fluid above. To examine the flow and interfacial dynamics, we utilise a highly-parallelised…