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Related papers: Marangoni instability in a viscoelastic binary fil…

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We explore flow of a completely wetting fluid in a funnel, with particular focus on contact line instabilities at the fluid front. While the flow in a funnel may be related to a number of other flow configurations as limiting cases,…

Fluid Dynamics · Physics 2023-06-13 T. -S. Lin , J. A. Dijksman , L. Kondic

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

We report on the Rayleigh-Plateau instability in films of giant micelles solutions coating a vertical fibre. We observe that the dynamics of thin films coating the fibre could be very different from the Newtonian or standard Non-Newtonian…

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · Physics 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

The dynamics of the interaction of a system of two thin volatile liquid droplets resting on a soft viscoelastic solid substrate are investigated theoretically. The developed model fully considers the effect of evaporative cooling and the…

Fluid Dynamics · Physics 2023-10-13 Anna Malachtari , George Karapetsas

The long-standing question of why foaming is easier in seawater than in freshwater remains unresolved. In this study, we address this issue through precise interferometry single bubble experiments, demonstrating that the theory proposed by…

Starting from the equations of Stokes flow and the mass conservation of particles as determined by shear-induced diffusion, we derive the coupled equations for the dynamics of particle concentration and film thickness for the free-surface…

Soft Condensed Matter · Physics 2007-05-23 Rama Govindarajan , Prabhu R. Nott , Sriram Ramaswamy

The pair of fluids, FC72- 1cSt silicone oil, exhibiting temperature-sensitive miscibility gap is considered in this study to investigate the classical Rayleigh-B\'enard-Marangoni (RBM) instability. The system of fluids is considered at…

Fluid Dynamics · Physics 2025-04-15 Anubhav Dubey , Saumyakanta Mishra , S. V. Diwakar , Sakir Amiroudine

Understanding the mechanics of detrimental convective instabilities in drying polymer solutions is crucial in many applications such as the production of film coatings. It is well known that solvent evaporation in polymer solutions can lead…

Fluid Dynamics · Physics 2020-06-23 E. J. Mossige , V. Chandran Suja , M. Islamov , S. F. Wheeler , G. G. Fuller

Liquid nanofilms are ubiquitous in nature and technology, and their equilibrium and out-of-equilibrium dynamics are key to a multitude of phenomena and processes. We numerically study the evolution and rupture of viscous nanometric films,…

We study two-dimensional, stationary square and hexagonal patterns in the thermocapillary deformational thin-film model for the fluid height $h$\begin{equation*} \partial_t h+\nabla\cdot\left(h^3\left(\nabla\Delta h-g\nabla…

Analysis of PDEs · Mathematics 2025-06-25 Stefano Böhmer , Bastian Hilder , Jonas Jansen

We consider a colony of point-like self-propelled surfactant particles (swimmers) without direct interactions that cover a thin liquid layer on a solid support. Although the particles predominantly swim normal to the free film surface,…

Soft Condensed Matter · Physics 2018-07-24 Andrey Pototsky , Uwe Thiele , Holger Stark

We study the bifurcation of planar patterns and fast-moving pattern interfaces in an asymptotic long-wave model for the three-dimensional B\'enard-Marangoni problem, which is close to a Turing instability. We derive the model from the full…

Analysis of PDEs · Mathematics 2024-10-04 Bastian Hilder , Jonas Jansen

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

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

A variational model is used to study the stability of a soap film spanning a flexible loop. The film is modeled as a fluid surface endowed with constant tension and the loop is modeled as an elastic rod resistant to both bending and twist.…

Soft Condensed Matter · Physics 2015-04-17 Aisa Biria , Eliot Fried

Through a combination of experiments and modeling, we have demonstrated a novel pattern formation phenomenon in an isothermal miscible fluid system involving simple protein and sugar solutions. We introduced dye-tagged protein solution into…

Complex fluids such as emulsions, colloidal gels, polymer or surfactant solutions are all characterized by the existence of a "microstructure" which may couple to an external flow on timescales that are easily probed in experiments. Such a…

Soft Condensed Matter · Physics 2015-02-11 Christophe Perge , Marc-Antoine Fardin , Sebastien Manneville

Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be…

A hydrostatically stressed soft elastic film circumvents the imposed constraint by undergoing a morphological instability, the wavelength of which is dictated by the minimization of the surface and the elastic strain energies of the film.…

Soft Condensed Matter · Physics 2015-08-07 Manoj K. Chaudhury , Aditi Chakrabarti , Animangsu Ghatak
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