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In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and…

偏微分方程分析 · 数学 2025-07-16 Haocheng Yang

In G.I. Taylor's historic paper on swimming microorganisms, a two dimensional sheet was proposed as a model for flagellated cells passing traveling waves as a means of locomotion. Using a perturbation series, Taylor computed swimming speeds…

流体动力学 · 物理学 2013-02-19 Martin Sauzade , Gwynn J. Elfring , Eric Lauga

We demonstrate the sweeping effect in turbulence using numerical simulations of hydrodynamic turbulence without a mean velocity. The velocity correlation function, C(k, {\tau} ) decays with time due to the eddy viscosity. In addition, C(k,…

流体动力学 · 物理学 2019-06-11 Mahendra Kumar Verma , Abhishek Kumar , Akanksha Gupta

We follow the diffusive motion of colloidal particles in soap films with varying $h/d$, where $h$ is the thickness of the film and $d$ the diameter of the particles. The hydrodynamics of these films are determined by looking at the…

软凝聚态物质 · 物理学 2009-09-28 V. Prasad , Eric R. Weeks

Time delay and velocity estimation has been a widely studied subject in the context of signal processing, with applications in many different fields of physics. The velocity of fluctuation structures is typically estimated as the distance…

等离子体物理 · 物理学 2024-02-05 J. M. Losada , A. D. Helgeland , J. L. Terry , O. E. Garcia

We follow the diffusive motion of colloidal particles of diameter $d$ in soap films of varying thickness $h$ with fluorescence microscopy. Diffusion constants are obtained both from one- and two-particle microrheological measurements of…

软凝聚态物质 · 物理学 2009-05-09 V. Prasad , Eric R. Weeks

Taylors hypothesis is the backbone to convert observations done over time to spatial information of the flow while carrying out turbulence measurements on a micrometeorological tower. To address its validity over a highly heterogeneous…

大气与海洋物理 · 物理学 2025-11-19 Subharthi Chowdhuri , Ivan Mammarella , Olli Peltola

We report new measurements of single particle dispersion in turbulent two-dimensional (2D) flows. Laboratory experiments in electromagnetically driven and Faraday wave driven turbulence reveal a transition from weakly dispersing…

流体动力学 · 物理学 2015-06-18 H. Xia , N. Francois , H. Punzmann , M. Shats

One of the cornerstones of turbulent dispersion is the celebrated Taylor formula. This formula expresses the rate of transport (i.e. the eddy diffusivity) of a tracer as a time integral of the fluid velocity auto-correlation function…

流体动力学 · 物理学 2018-10-16 S. Boi , A. Mazzino , P. Muratore-Ginanneschi , S. Olivieri

The aim of this study is to derive accurate models for quantities characterizing the dynamics of droplets of non-vanishing viscosity in capillaries. In particular, we propose models for the uniform-film thickness separating the droplet from…

流体动力学 · 物理学 2018-07-03 Gioele Balestra , Lailai Zhu , François Gallaire

We consider the evolution of a passive scalar advected by a parallel shear flow in an infinite cylinder with bounded cross section, in arbitrary space dimension. The essential parameters of the problem are the molecular diffusivity $\nu$,…

偏微分方程分析 · 数学 2023-05-23 Michele Coti Zelati , Thierry Gallay

Direct estimation of Lagrangian turbulence statistics is essential for the proper modeling of dispersion and transport in highly obstructed canopy flows. However, Lagrangian flow measurements demand very high rates of data acquisition,…

流体动力学 · 物理学 2019-05-16 Ron Shnapp , Erez Shapira , David Peri , Yardena Bohbot-Raviv , Eyal Fattal , Alex Liberzon

We investigate spatial and temporal cross-correlations between streamwise and normal velocity components in three shear flows: a low-dimensional model for vortex-streak interactions, direct numerical simulations for a nearly homogeneous…

混沌动力学 · 物理学 2009-11-11 A. Jachens , J. Schumacher , B. Eckhardt , K. Knobloch , H. H. Fernholz

We create a highly controlled lab environment-accessible to both global and local monitoring-to analyse turbulent boiling flows and in particular their shear stress in a statistically stationary state. Namely, by precisely monitoring the…

流体动力学 · 物理学 2020-01-08 Rodrigo Ezeta , Dennis Bakhuis , Sander G. Huisman , Chao Sun , Detlef Lohse

The present study aims to investigate the motion of buoyant rings in vertical soap films. Thickness differences and related bi-dimensional densities are considered as the motor leading to bi-dimensional buoyancy. We show how this effect can…

流体动力学 · 物理学 2013-10-02 N. Adami , H. Caps

We present temporal intensity correlation measurements of light scattered by a hot atomic vapor. Clear evidence of photon bunching is shown at very short time-scales (nanoseconds) imposed by the Doppler broadening of the hot vapor.…

原子物理 · 物理学 2016-06-01 A. Dussaux , T. Passerat de Silans , W. Guerin , O. Alibart , S. Tanzilli , F. Vakili , R. Kaiser

Prediction is a fundamental objective of science. It is more difficult for chaotic and complex systems like turbulence. Here we use information theory to quantify spatial prediction using experimental data from a turbulent soap film. At…

流体动力学 · 物理学 2014-12-05 Rory Cerbus , Walter Goldburg

The internal interactions of fluids occur at all scales therefore the resulting force fields have no reason to be smooth and differentiable. The release of the differentiability hypothesis has important mathematical consequences, like scale…

综合物理 · 物理学 2013-03-15 Louis de Montera

We consider the two-dimensional (2D) flow in a flat free-slip surface that bounds a three-dimensional (3D) volume in which the flow is turbulent. The equations of motion for the two-dimensional flow in the surface are neither compressible…

混沌动力学 · 物理学 2009-11-07 Bruno Eckhardt , Joerg Schumacher

Temporal decorrelations in compressible isotropic turbulence are studied using the space-time correlation theory and direct numerical simulation. A swept-wave model is developed for dilatational components while the classic random sweeping…

流体动力学 · 物理学 2015-06-15 Dong Li , Xing Zhang , Guowei He