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Related papers: Capillary instability on a hydrophilic stripe

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We consider stability of steady convective flows in a horizontal layer with stress-free boundaries, heated below and rotating about the vertical axis, in the Boussinesq approximation (the Rayleigh-Benard convection). The flows under…

Fluid Dynamics · Physics 2015-06-26 O. M. Podvigina

We show that capillary waves can exist at the the boundary between miscible co-flowing fluids. We unveil that the interplay between transient interfacial stresses and confinement drives the progressive transition from the well-known…

Capillary droplets form due to surface tension when two immiscible fluids are mixed. We describe the motion of gravity-driven capillary droplets flowing through narrow constrictions and obstacle arrays in both simulations and experiments.…

We present experimental evidence of multiple blood flow configurations in a relatively simple microfluidic network under constant inlet conditions. We provide evidence of multistability and unsteady dynamics and find good agreement with a…

We consider a one-dimensional problem modeling two-phase flow in heterogeneous porous media made of two homogeneous subdomains, with discontinuous capillarity at the interface between them. We suppose that the capillary forces vanish inside…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

Cholesteric liquid crystals (CLCs) have a characteristic length scale given by the pitch of the twisted stacking of their constituent rod-like molecules. Under homeotropic anchoring conditions where the molecules prefer to orient…

Soft Condensed Matter · Physics 2020-05-13 Maxim O. Lavrentovich , Lisa Tran

The displacement of a more viscous fluid by a less viscous one in a quasi-two dimensional geometry leads to the formation of complex fingering patterns. This fingering has been characterized by a most unstable wavelength, $\lambda_c$, which…

Fluid Dynamics · Physics 2015-01-30 Irmgard Bischofberger , Radha Ramachandran , Sidney R. Nagel

Step-emulsification is a microfluidic technique for droplet generation which relies on the abrupt decrease of confinement of a liquid filament surrounded by a continuous phase. A striking feature of this geometry is the transition between…

Fluid Dynamics · Physics 2014-09-19 M. Hein , S. Afkhami , R. Seemann , L. Kondic

We propose a simple method to identify unstable parameter regions in general inviscid unidirectional shear flow stability problems. The theory is applicable to a wide range of basic flows, including those that are non-monotonic. We…

Fluid Dynamics · Physics 2024-07-30 Kengo Deguchi , Makoto Hirota , Timothy Dowling

We investigate inviscid instability in an electrically conducting fluid affected by a parallel magnetic field. The case of low magnetic Reynolds number in Poiseuille flow is considered. When the magnetic field is sufficiently strong, for a…

Fluid Dynamics · Physics 2013-07-22 A. V. Monwanou , J. B. Chabi Orou

Curtain coating, in which a moving plate is coated by a falling liquid sheet, sustains advancing contact lines at large capillary numbers Ca ~ O(1), based on plate speed. Steady states exist up to a critical capillary number, beyond which…

Fluid Dynamics · Physics 2026-05-04 Yash Kulkarni , Tomas Fullana , Stephane Popinet , Stephane Zaleski

We consider an immiscible two-phase flow in a heterogeneous one-dimensional porous medium. We suppose particularly that the capillary pressure field is discontinuous with respect to the space variable. The dependence of the capillary…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

We present direct numerical simulations of mixing at Rayleigh-Taylor unstable interfaces performed with the FLASH code, developed at the ASCI/Alliances Center for Astrophysical Thermonuclear Flashes at the University of Chicago. We present…

The dynamics of phase-separated interfaces shape the behavior of both passive and active condensates. While surface tension in equilibrium systems minimizes interface length, non-equilibrium fluxes can destabilize flat or constantly curved…

Soft Condensed Matter · Physics 2025-05-27 Florian Raßhofer , Simon Bauer , Alexander Ziepke , Ivan Maryshev , Erwin Frey

Motivated by Bresch, Desjardins, Gisclon and Sart (2008), in this paper, we study the influence of capillary number on an instability result related to the Navier-Stokes-Korteweg equations. Precisely, we investigate the instability of a…

Analysis of PDEs · Mathematics 2023-12-12 Tien-Tai Nguyen

We present a theoretical and numerical study on the (in)stability of the interface between two immiscible liquids, i.e., viscous fingering, in angled Hele-Shaw cells across a range of capillary numbers ($Ca$). We consider two types of…

Fluid Dynamics · Physics 2020-03-06 Daihui Lu , Federico Municchi , Ivan C. Christov

We experimentally investigate the dynamics of capillary-driven flows at the nanoscale, using an original platform that combines nanoscale pores and microfluidic features. Our results show a coherent picture across multiple experiments…

Soft Condensed Matter · Physics 2015-10-05 Olivier Vincent , Alexandre Szenicer , Abraham D. Stroock

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

We study the instability of a dusty simple shear flow where the dust particles are distributed non-uniformly. A simple shear flow is modally stable to infinitesimal perturbations. Also, a band of particles remains unaffected in the absence…

Fluid Dynamics · Physics 2024-05-10 Anu V. S. Nath , Anubhab Roy , M. Houssem Kasbaoui

We present experimental observations and numerical simulations of a wrinkling instability that occurs at sufficiently high strain rates in the trembling regime of vesicle dynamics in steady linear flow. Spectral and statistical analysis of…

Soft Condensed Matter · Physics 2014-07-11 Michael Levant , David Abreu , Udo Seifert , Victor Steinberg