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Using complementary numerical approaches at high resolution, we study the late-time behaviour of an inviscid, incompressible two-dimensional flow on the surface of a sphere. Starting from a random initial vorticity field comprised of a…

Fluid Dynamics · Physics 2015-12-08 David G. Dritschel , Wanming Qi , J. B. Marston

We investigate numerically the dynamics and statistics of inertial particles transported by stratified turbulence, in the case of particle density intermediate in the average density profile of the fluid. In these conditions, particles tend…

Fluid Dynamics · Physics 2018-04-04 Alessandro Sozza , Filippo De Lillo , Guido Boffetta

The inertia of particles driven by the turbulent flow of the surrounding fluid makes them prefer certain regions of the flow. The heavy particles lag behind the flow and tend to accumulate in the regions with less vorticity, while the light…

Chaotic Dynamics · Physics 2015-05-30 Itzhak Fouxon

Archetypal falling behaviors of impervious objects are classified into four modes: fluttering, tumbling, steady descent and chaotic motion. The classical scenario predicts these behaviors to be affected by two dimensionless quantities:…

Fluid Dynamics · Physics 2024-06-05 Jesús Sánchez-Rodríguez , François Gallaire

It is shown that preferential concentrations of inertial (finite-size) particle suspensions in turbulent flows follow from the dissipative nature of their dynamics. In phase space, particle trajectories converge toward a dynamical fractal…

Chaotic Dynamics · Physics 2009-11-10 Jeremie Bec

Small heavy particles cannot get attracted into a region of closed streamlines in a non-accelerating frame (Sapsis & Haller 2010). In a rotating system, however, particles can get trapped (Angilella 2010) near vortices. We perform numerical…

Fluid Dynamics · Physics 2025-02-12 Saumav Kapoor , Divya Jaganathan , Rama Govindarajan

The interplay between thin film hydrodynamics and solidification produces formidably intricate geophysical structures, such as stalactites and icicles, whose shape is a testimony of their long growth. In simpler settings, liquid films can…

In the open circular billiard particles are placed initially with a uniform distribution in their positions inside a planar circular vesicle. They all have velocities of the same magnitude, whose initial directions are also uniformly…

Statistical Mechanics · Physics 2009-11-11 J. F. Stilck

The system of four point vortices in the plane has relative equilibria that behave as composite particles, in the case where three of the vortices have strength $-\Gamma/3$ and one of the vortices has strength $\Gamma$. These relative…

Mathematical Physics · Physics 2007-05-23 G. W. Patrick

Steady-state perturbations to a stagnation point flow of the form ${\bf U}=(0,A'y,-A'z)$ are known which consist of a periodic array of counter-rotating vortices whose axes are parallel to the $y$-axis and which lie in the plane $z=0$. A…

Fluid Dynamics · Physics 2024-09-17 Oliver S. Kerr

We present the results of direct numerical simulations of flow patterns in a low-Prandtl-number ($Pr = 0.1$) fluid above the onset of oscillatory convection in a Rayleigh-B\'{e}nard system rotating uniformly about a vertical axis.…

Fluid Dynamics · Physics 2014-02-19 Hirdesh K. Pharasi , Krishna Kumar

When two spherical particles submerged in a viscous fluid are subjected to an oscillatory flow, they align themselves perpendicular to the direction of the flow leaving a small gap between them. The formation of this compact structure is…

Reynolds proposed that after sufficiently long times, the flow in a pipe should settle to a steady condition: below a critical Reynolds number, flows should (regardless of initial conditions) always return to laminar, while above, eddying…

Fluid Dynamics · Physics 2018-02-14 Vasudevan Mukund , Björn Hof

When vortex rings collide head-on at high enough Reynolds numbers, they ultimately annihilate through a violent interaction which breaks down their cores into a turbulent cloud. We experimentally show that this very strong interaction,…

We propose an experimental study on the gravitational settling velocity of dense, sub-Kolmogorov inertial particles under different background turbulent flows. We report Phase Doppler Particle Analyzer measurements in a low-speed wind…

Fluid Dynamics · Physics 2022-07-18 Amélie Ferran , Nathanaël Machicoane , Alberto Aliseda , Martín Obligado

The statistics of velocity differences between very heavy inertial particles suspended in an incompressible turbulent flow is found to be extremely intermittent. When particles are separated by distances within the viscous subrange, the…

Fluid Dynamics · Physics 2009-05-11 J. Bec , L. Biferale , M. Cencini , A. S. Lanotte , F. Toschi

We study the joint probability distributions of separation, $R$, and radial component of the relative velocity, $V_{\rm R}$, of particles settling under gravity in a turbulent flow. We also obtain the moments of these distributions and…

Fluid Dynamics · Physics 2020-03-11 Akshay Bhatnagar

The relative dispersion of pairs of inertial particles in incompressible, homogeneous, and isotropic turbulence is studied by means of direct numerical simulations at two values of the Taylor-scale Reynolds number $Re_{\lambda} \sim 200$…

Fluid Dynamics · Physics 2015-05-13 J. Bec , L. Biferale , A. S. Lanotte , A. Scagliarini , F. Toschi

The settling of heavy spherical particles in a column of quiescent fluid is investigated. The performed experiments cover a range of Galileo numbers ($110 \leq \text{Ga} \leq 310$) for a fixed density ratio of $\Gamma = \rho_p/\rho_f =…

The most elementary structures of turbulence, i.e., vortex tubes, are studied using velocity data obtained in a laboratory experiment for boundary layers with microscale Reynolds numbers 295-1258. We conduct conditional averaging for…

Fluid Dynamics · Physics 2009-11-10 H. Mouri , A. Hori , Y. Kawashima