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In this study, we perform a numerical analysis of the instability of a ligament in shear flow and investigate the effects of air-liquid shear on the growth rate of the ligament interface, breakup time, and droplet diameter formed by the…

Fluid Dynamics · Physics 2022-08-17 H. Yanaoka , K. Nakayama

Pattern-forming processes, such as electrodeposition, dielectric breakdown or viscous fingering are often driven by instabilities. Accordingly, the resulting growth patterns are usually highly branched, fractal structures. However, in some…

Pattern Formation and Solitons · Physics 2017-01-04 Michal Pecelerowicz , Piotr Szymczak

The onset of viscous fingering in the presence of a non monotonic viscosity profile is investigated theoretically for two immiscible fluids. Classical fluid dynamics predicts that no unstable behavior may be observed when a viscous fluid…

Fluid Dynamics · Physics 2024-03-18 Vicente Pérez-Muñuzuri

Although the pattern formation on polymer gels has been considered as a result of the mechanical instability due to the volume phase transition, we found a macroscopic surface pattern formation not caused by the mechanical instability. It…

Pattern Formation and Solitons · Physics 2007-05-23 Hiroaki Katsuragi

Liquids spreading over a solid substrate under the action of various forces are known to exhibit a long wavelength contact line instability. We use an example of thermally driven spreading on a horizontal surface to study how the stability…

Pattern Formation and Solitons · Physics 2017-04-05 Roman O. Grigoriev

We investigate the formation of fingered flow in dry granular media under simulated rainfall using a quasi-2D experimental set-up composed of a random close packing of mono-disperse glass beads. Using controlled experiments, we analyze the…

Soft Condensed Matter · Physics 2014-10-30 Cesare M. Cejas , Yuli Wei , Remi Barrois , Christian Fretigny , Douglas J. Durian , Remi Dreyfus

Metastatic tumors often invade healthy neighboring tissues by forming multicellular finger-like protrusions emerging from the cancer mass. To understand the mechanical context behind this phenomenon, we here develop a minimalist fluid model…

Biological Physics · Physics 2018-09-18 Michał Bogdan , Thierry Savin

When particles settle through a stable temperature or salinity gradient they can drive an instability known as sedimentary fingering convection. This phenomenon is thought to occur beneath sediment-rich river plumes in lakes and oceans, in…

Fluid Dynamics · Physics 2017-04-05 J. F. Reali , P. Garaud , A. Alsinan , E. Meiburg

The Marangoni instability of cylindrical drops in vertical Hele-Shaw cells immersed in stably stratified liquids has been studied previously, yet the underlying mechanism has not been explored thoroughly. Here we study the onset of the…

Fluid Dynamics · Physics 2025-12-19 Li-Chen Huang , Yanshen Li

Droplet spreading is ubiquitous and plays a significant role in liquid-based energy systems, thermal management devices, and microfluidics. While the spreading of non-volatile droplets is quantitatively understood, the spreading and flow…

Fluid Dynamics · Physics 2023-08-24 Zhenying Wang , George Karapetsas , Prashant Valluri , Chihiro Inoue

Viscous fingering is a well-known hydrodynamic instability that sets in when a less viscous fluid displaces a more viscous fluid. When the two fluids are miscible, viscous fingering introduces disorder in the velocity field and exerts a…

Fluid Dynamics · Physics 2015-03-17 Birendra Jha , Luis Cueto-Felgueroso , Ruben Juanes

Hypothesis: Interfacial instabilities cause undesirable droplet breakage during impact. Such breakage affects many applications, such as printing, spraying, etc. Particle coating over a droplet can significantly change the impact process…

Fluid Dynamics · Physics 2023-05-23 Rutvik Lathia , Chandantaru Dey Modak , Prosenjit Sen

Using experiments and numerical simulations, we investigate the spontaneous spreading of droplets of aqueous glycerol (Newtonian) and aqueous polymer (shear-thinning) solutions on smooth surfaces. We find that in the first millisecond the…

Fluid Dynamics · Physics 2022-08-25 Susumu Yada , Kazem Bazesefidpar , Outi Tammisola , Gustav Amberg , Shervin Bagheri

Being a major limiting factor for the efficiency of various technologies, such as Enhanced Oil Recovery, the viscous fingering (or Saffman--Taylor) instability has been extensively studied, especially for simple Newtonian fluids. Here, we…

Fluid Dynamics · Physics 2022-05-18 Alban Pouplard , Peichun Amy Tsai

We conduct a theoretical study of a two-phase-fluid-structure interaction problem in which air is driven at constant volume flux into a liquid-filled Hele-Shaw channel whose upper boundary is an elastic sheet. A depth-averaged model in the…

Fluid Dynamics · Physics 2021-04-28 J. V. Fontana , A. Juel , N. Bergemann , M. Heil , A. L. Hazel

In the present work the instability of a flat horizontal thin layer of a magnetic fluid (the depth of no more than 50 \mum) under the action of a uniform magnetic field is studied experimentally. It was revealed that the development of…

Fluid Dynamics · Physics 2017-04-28 Arthur Zakinyan , Levon Mkrtchyan , Yuri Dikansky

When a flexible plate is peeled off a thin and soft elastic film bonded to a rigid support, uniformly spaced fingering patterns develop along their line of contact. While, the wavelength of these patterns depends only on the thickness of…

Soft Condensed Matter · Physics 2007-05-23 Animangsu Ghatak , Manoj K. Chaudhury

A sheet of glassy polymers placed in a solvent shows swelling behaviors quite different from that of soft polymers (rubbers and gels). (1) Non-Fickian diffusion (called case II diffusion): As solvent permeates into the sample, a sharp front…

Soft Condensed Matter · Physics 2024-05-27 Peihan Lyu , Zhaoyu Ding , Masao Doi , Xingkun Man

We study pattern formation during tensile deformation of confined viscoelastic layers. The use of a model system (PDMS with different degrees of crosslinking) allows us to go continuously from a viscous liquid to an elastic solid. We…

Soft Condensed Matter · Physics 2008-08-28 J. Nase , A. Lindner , C. Creton

This study investigates the fingering instability that forms during stretching of capillary suspensions with and without added nanoparticles. The dewetting process is observed using a transparent lifted Hele-Shaw cell. The liquid bridge is…

Soft Condensed Matter · Physics 2025-06-17 Lingyue Liu , Mete Abbot , Philipp Brockmann , Ilia V. Roisman , Jeanette Hussong , Erin Koos
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