Convective instabilities in complex systems with partly free surface

Convective instabilities of synchronization manifolds in spatially extended systems.

We study the stability properties of anticipating synchronization in an open chain of unidirectionally coupled identical chaotic oscillators. Despite being absolutely stable, the synchronization manifold is unstable to propagating perturbations. We analyze and characterize such instabilities drawing a qualitative and quantitative comparison with the convective instabilities typical of spatially...

Viscoelastic Free Surface Instabilities During Exponential Stretching

A viscous Newtonian fluid and two model polystyrene Boger fluids are used to investigate the evolution of free-surface instabilities during the debonding of two cylindrical parallel rigid surfaces. A filament stretching rheometer is used to separate the surfaces at an exponential rate and simultaneously measure the evolution in the axial force. The experimental configuration also allows for sim...

Convective Instabilities in Plane Couette Flow

Convective Instabilities in Two Liquid Layers

We perform linear stability calculations for horizontal fluid bilayers, taking into account both buoyancy effects and thermocapillary effects in the presence of a vertical temperature gradient. To help understand the mechanisms driving the instability, we have performed both long-wavelength and short-wavelength analyses. The mechanism for the large wavelength instability is complicated, and the...

Analysis of Convective Instabilities of Binary Nanofluids

In this paper the thermal convective instabilities of a binary nanofluid is theoretically investigated. In order to analyze a binary nanofluid, an addition factor is proposed under linear stability theory which is applied to the stability analysis of normal fluid. The factor describes the effect of nanoparticles on the convective instability of a basefluid. The Soret effect which represents the...