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A phenomenological theory of the fluctuations of velocity occurring in a fully developed homogeneous and isotropic turbulent flow is presented. The focus is made on the fluctuations of the spatial (Eulerian) and temporal (Lagrangian)…

We consider a superstatistical dynamical model for the 3-d movement of a Lagrangian tracer particle embedded in a high-Reynolds number turbulent flow. The analytical model predictions are in excellent agreement with recent experimental data…

Statistical Mechanics · Physics 2009-11-11 Christian Beck

We derive here Lagrangian fluctuation-dissipation relations for advected scalars in wall-bounded flows. The relations equate the dissipation rate for either passive or active scalars to the variance of scalar inputs from the initial values,…

Fluid Dynamics · Physics 2017-10-13 Theodore D. Drivas , Gregory L. Eyink

The occurrence of concentration and temperature gradients in saline microdroplets evaporating directly in air makes them unsuitable for nucleation studies where homogeneous composition is required. This can be addressed by immersing the…

Materials Science · Physics 2021-11-24 Ruel Cedeno , Romain Grossier , Nadine Candoni , Adrian Flood , Stéphane Veesler

We analyze data from direct numerical simulations of homogeneous and isotropic turbulence (at Re_\lambda \approx 280) and study the statistics of curvature and torsion of Lagrangian trajectories in order to extract informations on the…

Chaotic Dynamics · Physics 2009-09-11 Andrea Scagliarini

Drying a droplet of colloidal dispersion can result in complex pattern formation due to both development and deformation of a skin at the drop surface. The present study focus on the drying process of droplets of colloidal dispersions in a…

Soft Condensed Matter · Physics 2012-11-08 François Boulogne , Frédérique Giorgiutti-Dauphiné , Ludovic Pauchard

Damping on an object generally depends on its conformation (shape size etc.). We consider the Langevin dynamics of a model system with a conformation dependent damping and generalize the fluctuation dissipation relation to fit in such a…

Statistical Mechanics · Physics 2012-07-16 A. Bhattacharyay

Recent studies of cooled oil emulsion droplets uncovered transformations into a host of flattened shapes with straight edges and sharp corners, driven by a partial phase transition of the bulk liquid phase. Here, we explore theoretically…

Soft Condensed Matter · Physics 2017-03-01 Pierre A. Haas , Raymond E. Goldstein , Stoyan K. Smoukov , Diana Cholakova , Nikolai Denkov

We study the mathematical evolution of a liquid fuel droplet inside a vessel. In particular, we analyze the evolution of the droplet radius on a finite time interval. The model problem involves an hyperbolic system coupled with the pressure…

Analysis of PDEs · Mathematics 2009-09-29 Radjaverane Alexandre , Long Nguyen Thanh , Alain Pham Ngoc Dinh

A liquid droplet is fragmented by a sudden pressurized-gas blow, and the resulting droplets, adhered to the window of a flatbed scanner, are counted and sized by computerized means. The use of a scanner plus image recognition software…

Statistical Mechanics · Physics 2009-11-13 Cristian F. Moukarzel , Silvia F. Fernandez-Sabido , J. C. Ruiz-Suarez

The spreading of density fluctuations in two-dimensional driven diffusive systems is marginally anomalous. Mode coupling theory predicts that the diffusivity in the direction of the drive diverges with time as $(\ln t)^{2/3}$ with a…

Statistical Mechanics · Physics 2018-03-23 Joachim Krug , Robert A. Neiss , Andreas Schadschneider , Johannes Schmidt

To explain the appearance of heterogeneities in the plasma membrane, I propose a hypothesis which begins with the observation that fluctuations in the membrane curvature are coupled to the difference between compositions in one leaf and the…

Soft Condensed Matter · Physics 2017-08-23 M. Schick

Drop condensation and evaportation as a result of the gradient in vapor concentration are important in both engineering and natural systems. One of the interesting natural examples is transpiration on plant leaves. Most of water in the…

Fluid Dynamics · Physics 2021-03-30 Sunghwan Jung

This dissertation discusses the intermitency phenomenon in three models of turbulence, employing analytical and numerical techniques in the analysis of stochastic processes and the probability distributions which they induce. The initial…

Fluid Dynamics · Physics 2020-09-04 Gabriel B. Apolinário

The dynamics of evaporation of wetting droplets has been investigated experimentally in an extended range of drop sizes, in order to provide trends relevant for a theoretical analysis. A model is proposed, which generalises Tanner's law,…

Soft Condensed Matter · Physics 2016-08-16 Christophe Poulard , Geoffroy Guéna , Anne-Marie Cazabat , A. Boudaoud , M. Ben Amar

Self-encapsulated droplets floating at an oil--air interface undergo striking shape changes during evaporation, including flattening and localized loss of membrane tension leading to crumpling and wrinkling. Here we combine experiments,…

Soft Condensed Matter · Physics 2026-05-11 D. Andrini , D. Riccobelli , L. Gazzera , S. Molteni , P. Metrangolo , P. Ciarletta

The Marangoni contraction of sessile droplets occurs when a binary mixture of volatile liquids is placed on a high-energy surface. Although the surface is wetted completely by the mixture and its components, a quasi-stationary non-vanishing…

Fluid Dynamics · Physics 2022-02-01 Olinka Ramirez-Soto , Stefan Karpitschka

We present results from an individual particle based model for the collision, coagulation and fragmentation of heavy drops moving in a turbulent flow. Such a model framework can help to bridge the gap between the full hydrodynamic…

Fluid Dynamics · Physics 2020-01-29 Jens C. Zahnow , Ulrike Feudel

The evaporation of dispersed, liquid droplets in jet-sprays occurs in several industrial applications and in natural phenomena. Despite the relevance of the problem, a satisfactory comprehension of the mechanisms involved has not still be…

Fluid Dynamics · Physics 2021-03-16 Jietuo Wang , Federico Dalla Barba , Francesco Picano

Existing energy balance models, which estimate maximum droplet spreading, insufficiently capture the droplet spreading from low to high Weber and Reynolds numbers and contact angles. This is mainly due to the simplified definition of the…

Fluid Dynamics · Physics 2022-04-12 Yunus Tansu Aksoy , Pinar Eneren , Erin Koos , Maria Rosaria Vetrano
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