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We study the linear evolution of small perturbations in self-gravitating fluid systems in two spatial dimensions; we consider both cylindrical and cartesian (i.e., slab) geometries. The treatment is general, but the application is to…

天体物理学 · 物理学 2009-10-28 Curtis S. Gehman , Fred C. Adams , Marco Fatuzzo , Richard Watkins

We revisit the somewhat classical problem of the linear stability of a rigidly rotating liquid column in this communication. Although literature pertaining to this problem dates back to 1959, the relation between inviscid and viscous…

流体动力学 · 物理学 2023-06-22 Pulkit Dubey , Anubhab Roy , Ganesh Subramanian

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

统计力学 · 物理学 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generation metamaterials. The goal of this article is to…

软凝聚态物质 · 物理学 2025-06-23 Sanjay Dharmavaram , Basant Lal Sharma

We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced dispersion, the emergence of solitons becomes possible. We…

斑图形成与孤子 · 物理学 2024-02-21 G. N. Koutsokostas , S. Sypsas , O. Evnin , T. P. Horikis , D. J. Frantzeskakis

Fingering instabilities akin to the Rayleigh-Taylor (RT) instability in fluids have been observed in a binary granular system consisting of dense and small particles layered on top of lighter and larger particles, when the system is…

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

统计力学 · 物理学 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

The stability and transition in the bottom boundary layer under a solitary wave are analysed in the presence of finite amplitude disturbances. First, the receptivity of the boundary layer is investigated using a linear input-output…

流体动力学 · 物理学 2020-07-15 Asim Önder , Philip Li-Fan Liu

We develop a mean-field model to examine the stability of a `quasi-2D suspension' of elongated particles embedded within a viscous membrane. This geometry represents several biological and synthetic settings, and we reveal mechanisms by…

流体动力学 · 物理学 2024-05-22 Harishankar Manikantan

Roll-wave trains constitutes a well-known two-phase flow regime in pipes. There exists a one-parameter family of steady roll-wave train solutions, provided the flow conditions are within the roll-wave range. This means that wave train…

流体动力学 · 物理学 2018-11-29 Andreas Holm Akselsen

It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented…

斑图形成与孤子 · 物理学 2013-07-22 Daniel Walgraef

We study the behaviour of circular flexible loops sedimenting in a viscous fluid by numerical simulations and linear stability analysis. The numerical model involves a local slender-body theory approximation for the flow coupled to the…

流体动力学 · 物理学 2021-07-01 Radost Waszkiewicz , Piotr Szymczak , Maciej Lisicki

The formation of velocity vortices and density clusters is an intriguing phenomenon of freely cooling granular flows. In this work, the critical length scale $L_c$ for the onset of instability is determined via stability analysis of the…

统计力学 · 物理学 2016-01-20 Vicente Garzó

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

流体动力学 · 物理学 2020-04-09 Alexander Gelfgat , Neima Brauner

We develop a self-consistent theory of temporal fluctuations of a speckle pattern resulting from the multiple scattering of a coherent wave in a weakly nonlinear disordered medium. The speckle pattern is shown to become unstable if the…

无序系统与神经网络 · 物理学 2016-08-31 S. E. Skipetrov , R. Maynard

We report new chemoconvective pattern formation phenomena observed in a two-layer system of miscible fluids filling a vertical Hele-Shaw cell. We show both experimentally and theoretically that the concentration-dependent diffusion coupled…

流体动力学 · 物理学 2015-06-26 Dmitry Bratsun , Konstantin Kostarev , Alexey Mizev , Elena Mosheva

There is a clear distinction between simple laminar and complex turbulent fluids. But in some cases, as for the nocturnal planetary boundary layer, a stable and well-ordered flow can develop intense and sporadic bursts of turbulent activity…

流体动力学 · 物理学 2015-06-17 C. Rorai , P. D. Mininni , A. Pouquet

Patterns of convection in internally heated, self-gravitating rotating spherical fluid shells are investigated through numerical simulations. While turbulent states are of primary interest in planetary and stellar applications the present…

流体动力学 · 物理学 2009-06-09 R. D. Simitev , F. H. Busse

Thermally bistable fluid tends to self-organize into clouds of hot and cold material, which are internally uniform and separated by thin conduction fronts. The evolution of these clouds has been studied for isobaric systems, but when…

等离子体物理 · 物理学 2024-07-18 Henry Fetsch , Nathaniel J. Fisch

We report on a cellular pattern which spontaneously forms at the surface of a thin layer of a cohesive granular material submitted to in-plane stretching. We present a simple model in which the mechanism responsible of the instability is…