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When a less viscous Newtonian fluid displaces an aging aqueous clay suspension in a confined space, a rich array of interfacial patterns emerges due to a predominantly viscous instability. In the present work, we controlled the mechanical…

Soft Condensed Matter · Physics 2025-09-09 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

Evolution of a suspension drop entrained by Poiseuille flow is studied numerically at a low Reynolds number. A suspension drop is modelled by a cloud of many non-touching particles, initially randomly distributed inside a spherical volume…

Fluid Dynamics · Physics 2015-05-18 Krzysztof Sadlej , Eligiusz Wajnryb , Maria L. Ekiel-Jeżewska

We experimentally and theoretically investigate the behavior of Leidenfrost droplets inserted in a Hele-Shaw cell. As a result of the confinement from the two surfaces, the droplet has the shape of a flattened disc and is thermally isolated…

The transient thermocapillary migration of drops with nontrivial deformation is studied. The finite difference method is employed to solve the incompressible Navier-Stokes equations coupled with the energy equation; the front-tracking…

Fluid Dynamics · Physics 2011-12-08 Lei Chang , Zhaohua Yin , Wenrui Hu

We numerically study the dynamics of quasi-two dimensional cholesteric liquid crystal droplets in the presence of a time-dependent electric field, rotating at constant angular velocity. A surfactant sitting at droplet interface is also…

Soft Condensed Matter · Physics 2023-03-13 F. Fadda , A. Lamura , A. Tiribocchi

We introduce a numerical method for investigating interfacial flows coupled with frictional solid particles. Our method combines the lattice Boltzmann method (LBM) to model the dynamics of a two-component fluid and the discrete element…

Fluid Dynamics · Physics 2025-05-16 Abhinav Naga , Xitong Zhang , Junyu Yang , Halim Kusumaatmaja

This research has found a novel computational efficient method of modelling flow at low Reynolds number through fracture networks. The numerical analysis was performed by connecting Hele-Shaw cells to investigate the effect of the…

Fluid Dynamics · Physics 2020-08-04 Pouria Aghajannezhad , Mathieu Sellier , Sid Becker

Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

A mathematical model describing motion of an inhomogeneous incompressible fluid in a Hele-Shaw cell is considered. Linear stability analysis of shear flow class is provided. The role of inertia, linear friction and impermeable boundaries in…

Fluid Dynamics · Physics 2015-01-28 Alexander Chesnokov , Irina Stepanova

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 account for the presence of surface charges towards describing variations in the dynamic contact angle of an advancing liquid-gas meniscus. Starting from the thin-film based formalism, we present closed-form analytical expressions…

Fluid Dynamics · Physics 2015-09-11 Palash V. Acharya , Kaustav Chaudhury , Suman Chakraborty

Despite the large body of research on coalescence, firm agreement between experiment, theory, and computation has not been established for the very first moments following the initial contact of two liquid volumes. Combining a range of…

We study microfluidic self digitization in Hele-Shaw cells using pancake droplets anchored to surface tension traps. We show that above a critical flow rate, large anchored droplets break up to form two daughter droplets, one of which…

Fluid Dynamics · Physics 2015-04-08 Gabriel Amselem , P. T. Brun , François Gallaire , Charles N. Baroud

Ensembles of interacting drops that slide down an inclined plate show a dramatically different coarsening behavior as compared to drops on a horizontal plate: As drops of different size slide at different velocities, frequent collisions…

Drop coalescence occurs through the rapid growth of a liquid bridge that connects the two drops. At early times after contact, the bridge dynamics is typically self-similar, with details depending on the geometry and viscosity of the…

Fluid Dynamics · Physics 2023-06-22 Walter Tewes , Michiel A. Hack , Charu Datt , Gunnar G. Peng , Jacco H. Snoeijer

A two-phase Hele-Show problem with a time-dependent gap describes the evolution of the interface, which separates two fluids sandwiched between two plates. The fluids have different viscosities. In addition to the change in the gap width of…

Analysis of PDEs · Mathematics 2018-01-17 T. V. Savina , L. Akinyemi , A. Savin

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.…

The effect of strong shear flow on highly fluctuating lamellar systems stabilized by intermembrane collisions via the Helfrich interaction is studied. Advection enters the microscopic equation of motion for a single membrane via a…

Soft Condensed Matter · Physics 2009-11-07 Simon W. Marlow , Peter D. Olmsted

The axisymmetric deformation and motion of interacting droplets in an imposed temperature gradient is considered using boundary-integral techniques for slow viscous motion. Results showing temporal drop motion, deformations and separation…

Fluid Dynamics · Physics 2007-05-23 V. Berejnov , O. M. Lavrenteva , A. Nir

The kinetic roughening of a stable oil--air interface, moving in a Hele--Shaw cell which contains a quenched columnar disorder (tracks) has been studied. A capillary effect is responsible for the dynamic evolution of the resulting rough…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Soriano , J. J. Ramasco , M. A. Rodriguez , A. Hernandez-Machado , J. Ortin