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We analyse the anisotropy of homogeneous turbulence in an electrically conducting fluid submitted to a uniform magnetic field, for low magnetic Reynolds number, in the quasi- static approximation. We interpret disagreeing previous…

Fluid Dynamics · Physics 2012-07-23 B. F. N. Favier , F. S. Godeferd , C. Cambon , A. Delache , W. J. T. Bos

Does three-dimensional incompressible Euler flow with smooth initial conditions develop a singularity with infinite vorticity after a finite time? This blowup problem is still open. After briefly reviewing what is known and pointing out…

Chaotic Dynamics · Physics 2007-05-23 U. Frisch , T. Matsumoto , J. Bec

We study the interplay between the local geometric properties and the non-blowup of the 3D incompressible Euler equations. We consider the interaction of two perturbed antiparallel vortex tubes using Kerr's initial condition…

Mathematical Physics · Physics 2009-11-11 Thomas Y. Hou , Ruo Li

In this paper, we are concerned with nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler fluids. We focus on the case when the vorticity function has a simple discontinuity, which corresponding to a…

Analysis of PDEs · Mathematics 2019-08-06 Daomin Cao , Jie Wan , Weicheng Zhan

This paper numerically investigates the instability characteristics of decelerating flows. The flow dynamics and temporal evolution of coherent structures in a diverging section with mild spatial pressure gradient are analyzed using…

Fluid Dynamics · Physics 2023-05-30 Ahire Swapnil Ashok , Manu K.

Icicles form when cool water drips from an overhanging support under ambient conditions which are below freezing. Ice growth is controlled by the removal of latent heat, which is transferred into the surrounding air via a thin film of water…

Pattern Formation and Solitons · Physics 2011-02-10 Antony Szu-Han Chen , Stephen W. Morris

In this paper we examine time-dependent and three-dimensional perturbations of spherical accretion flow onto a neutron star close to its Eddington limit. Our treatment assumes a Schwarzschild geometry for the spacetime outside the neutron…

Astrophysics · Physics 2009-10-30 Guy S. Miller , Myeong-Gu Park

During the evolution of density inhomogeneties in an $\Omega=1$, matter dominated universe, the typical density contrast changes from $\delta\simeq 10^{-4}$ to $\delta\simeq 10^2$. However, during the same time, the typical value of the…

General Relativity and Quantum Cosmology · Physics 2019-08-17 J. S. Bagla , T. Padmanabhan

We study desingularization of steady vortex rings in three-dimensional axisymmetric incompressible Euler fluids with swirl. Using the variational method, we construct a two-parameter family of steady vortex rings, which constitute a…

Analysis of PDEs · Mathematics 2019-09-26 Daomin Cao , Jie Wan , Weicheng Zhan

We investigate how thin sheets of arbitrary shapes morph under the isotropic in-plane expansion of their top surface, which may represent several stimuli such as nonuniform heating, local swelling and differential growth. Inspired by…

Soft Condensed Matter · Physics 2015-11-02 Matteo Pezzulla , Gabriel P. Smith , Paola Nardinocchi , Douglas P. Holmes

A statistical survey of spectral anisotropy of space plasma turbulence is performed using five years measurements from MMS in the magnetosheath. By measuring the five-point second-order structure functions of the magnetic field, we have for…

Space Physics · Physics 2020-08-05 Tieyan Wang , Jiansen He , Olga Alexandrova , Malcolm Dunlop , Denise Perrone

This article presents a multiscale, non-linear and directional statistical characterization of images based on the estimation of the skewness, flatness, entropy and distance from Gaussianity of the spatial increments. These increments are…

Fluid Dynamics · Physics 2023-10-11 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas B. Garnier

Kappa distributions are ubiquitous in space and astrophysical poorly collisional plasmas, such as the solar wind, suggesting that microscopic and macroscopic properties of these non-equilibrium plasmas are highly conditioned by the…

Plasma Physics · Physics 2020-12-04 Pablo S. Moya , Marian Lazar , Stefaan Poedts

We study the statistical properties of orientation and rotation dynamics of elliptical tracer particles in two-dimensional, homogeneous and isotropic turbulence by direct numerical simulations. We consider both the cases in which the…

Fluid Dynamics · Physics 2014-03-19 Anupam Gupta , Dario Vincenzi , Rahul Pandit

The properties of bubble-laden turbulent flows at different scales are investigated experimentally, focusing on the flow kinetic energy, energy transfer, and extreme events. The experiments employed particle shadow velocimetry measurements…

Fluid Dynamics · Physics 2022-03-02 Tian Ma , Hendrik Hessenkemper , Dirk Lucas , Andrew D. Bragg

Random operators constitute fundamental building blocks of models of complex systems yet are far from fully understood. Here, we explain an asymmetry emerging upon repeating identical isotropic (uniformly random) operations. Specifically,…

Statistical Mechanics · Physics 2021-06-03 Malte Schröder , Marc Timme

Decaying three-dimensional (3D) turbulence is studied via direct numerical simulations (DNS) for an isotropic non-rotating flow and for rotating flows with and without helicity. We analyze the cases of moderate Rossby number and large…

Fluid Dynamics · Physics 2015-05-14 T. Teitelbaum , P. D. Mininni

Motion of an ultra-relativistic perfect fluid in space-time with the Kasner metrics is investigated by the Hamiltonian method. It is found that in the limit of small times a tendency takes place to formation of strong inhomogeneities in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. P. Ruban , D. I. Podolsky

Turbulent flow evolution and energy cascades are significantly different in two-dimensional (2D) and three-dimensional (3D) flows. Studies have investigated these differences in obstacle-free turbulent flows, but solid boundaries have an…

Fluid Dynamics · Physics 2020-08-21 Bernat Font , Gabriel D. Weymouth , Vinh-Tan Nguyen , Owen R. Tutty

We consider the evolution of an incompressible two-dimensional perfect fluid as the boundary of its domain is deformed in a prescribed fashion. The flow is taken to be initially steady, and the boundary deformation is assumed to be slow…

Analysis of PDEs · Mathematics 2007-05-23 J. Vanneste , D. Wirosoetisno