A suspension confined between two close parallel plates is studied in the Stokesian regime. The use of boundary integral equations and the lubrication approximation allows to compute the hydrodynamic forces acting on the particles. The forces are long ranged and depend on the orientation of the relative position and velocity of particles. This tensorial character predicts an ‘‘antidrag’’ that i...

A numerical shooting method for performing linear stability analyses of travelling waves is described and applied to the problem of freely propagating planar premixed flames. Previous linear stability analyses of premixed flames either employ high activation temperature asymptotics or have been performed numerically with finite activation temperature, but either for unit Lewis numbers (which ig...

Implosion process in laser fusion can be divided into three phases: start-up, acceleration and stagnation phases and various hydrodynamic instabilities appear in each phase. Analytical models are developed to study nonlinear evolutions of the hydrodynamic instabilities in these phases, and compared with multi-dimensional simulations. We mainly discuss the formation of double spiral structures c...

Hydrodynamic experiments have become a very active area within High Energy Density Laboratory Astrophysics. In such experiments, preheat of an interior surface due to heating prior to shock arrival can alter the initial conditions for further evolution and can change the nature of the experiment (Olson et al., 2003). Unfortunately, preheat cannot typically be detected without undertaking dedica...

Notwithstanding recent claims by Richard et al., there is no linear hydrodynamic instability of axisymmetrically stable disks in the local limit. We prove this by means of an exact stability analysis of an unbounded incompressible flow having constant stratification and constant shear.

This paper reports an observational analysis on droplet formation from a capillary-jet driven by centrifugal-gravity in a CDSD (Centrifuge-based droplet shooting device), and controlled synthesis of microbeads by instantaneous solidification of a sodium alginate solution jet breaking into drops owing to hydrodynamic instability. Our analysis may deepen understanding of micro capillary-jet and e...

The stability of idealized shear flow at long wavelengths is studied in detail. A hydrodynamic analysis at the level of the Navier-Stokes equation for small shear rates is given to identify the origin and universality of an instability at any finite shear rate for sufficiently long wavelength perturbations. The

We present a numerical study of a two dimensional granular medium consisting of hard inelastic disks. The evolution of the medium throughout a cooling process is monitored. Two different types of instabilities (shearing and clustering instability) are found to develop in the system. The development of these instabilities is shown to be in qualitative and quantitative agreement with the predicti...

Linear stability analysis is employed to derive analytical expressions for the growth rate of disturbances applied to a thin plane-parallel film trapped between two drops. From these expressions, the band of unstable wavenumbers and the "most dangerous" wavenumber are identified for systems in the absence and presence of insoluble surfactant. Marangoni effects are shown to exert a stabilizing i...

The hydrodynamic stability of deflagration and detonation bubbles for a first order electroweak and QCD phase transition has been discussed recently with the suggestion that detonations are stable. We examine here the case of a detonation more carefully. We find that in front of the bubble wall perturbations do not grow with time, but behind the wall modes exist which grow exponentially. We bri...