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We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension our model coincides with the random scission model and show a simple scaling behavior in the long-time limit. For…

Condensed Matter · Physics 2009-10-22 P. L. Krapivsky , E. Ben-Naim

Contrary to common assumptions, a transcritical domain exists during the early times of liquid hydrocarbon fuel injection at supercritical pressure. A sharp two-phase interface is sustained before substantial heating of the liquid. Thus,…

Fluid Dynamics · Physics 2024-01-17 Jordi Poblador-Ibanez , William Sirignano , Fazle Hussain

The compressive yield stress of particle gels shows a highly nonlinear dependence on the packing fraction. We have studied continuous compression processes, and discussed the packing fraction dependence with the particle scale…

Soft Condensed Matter · Physics 2013-11-22 Ryohei Seto , Robert Botet , Martine Meireles , Günter K. Auernhammer , Bernard Cabane

This paper provides a new model to compute the fractal dimension of a subset on a generalized-fractal space. Recall that fractal structures are a perfect place where a new definition of fractal dimension can be given, so we perform a…

Chaotic Dynamics · Physics 2010-07-23 M. A. Sánchez-Granero , Manuel Fernández-Martínez

The dynamics of small-scale structures in free-surface turbulence is crucial to large-scale phenomena in natural and industrial environments. Here we conduct experiments on the quasi-flat free surface of a zero-mean-flow turbulent water…

Fluid Dynamics · Physics 2025-03-14 Yinghe Qi , Yaxing Li , Filippo Coletti

We study numerically the dynamics of jets and drops in a microcapillary co-flow device. The co-flow stream encounters different flow regimes, including dripping, jetting. Using a level-set/finite element axysimmetric numerical simulation,…

Fluid Dynamics · Physics 2013-10-08 Alban Sauret , Ho Cheung Shum

[Abridged]We present high-resolution three-dimensional direct numerical simulations of breaking waves solving the two-phase Navier-Stokes equations. We investigate the role of the Reynolds and Bond numbers on the energy, bubble and droplet…

Fluid Dynamics · Physics 2022-06-08 Wouter Mostert , Stéphane Popinet , Luc Deike

A stochastic model relating the parameters of astrophysical structures to the parameters of their granular components is applied to the formation of hierarchical, large-scale structures from galaxies assumed as point-like objects. If the…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-20 S. Capozziello , S. Funkhouser

We present a finite-size scaling analysis of the droplet condensation-evaporation transition of a lattice gas (in two and three dimensions) and a Lennard-Jones gas (in three dimensions) at fixed density. Parallel multicanonical simulations…

Soft Condensed Matter · Physics 2015-08-04 Johannes Zierenberg , Wolfhard Janke

We explore the ground state phase diagram and nonequilibrium dynamics of genuine two-component particle-imbalanced droplets in both isotropic and anisotropic three-dimensional confinements. A gradual transition from mixed droplet-gas to gas…

The application of an external field often renders empirical criteria for identifying liquid-gas phase transitions ambiguous. Here, we demonstrate that the finite-size scaling of the density profile provides a definitive criterion to…

Statistical Mechanics · Physics 2025-10-28 Chong Zha , Yanshuang Chen , Cheng-Ran Du , Peng Tan , Yuliang Jin

In this fluid dynamics video, we present a visualization of the primary atomization of a turbulent liquid jet injected into a turbulent gaseous crossflow. It is based on a detailed numerical simulation of the primary atomization region of…

Fluid Dynamics · Physics 2015-05-20 Sandeep Rana , Marcus Herrmann

Most of the known methods for estimating the fractal dimension of fractal sets are based on the evaluation of a single geometric characteristic, e.g. the volume of its parallel sets. We propose a method involving the evaluation of several…

Metric Geometry · Mathematics 2015-06-22 Evgeny Spodarev , Peter Straka , Steffen Winter

We investigate the break-up of Newtonian/viscoelastic droplets in a viscoelastic/Newtonian matrix under the hydrodynamic conditions of a confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM)…

Soft Condensed Matter · Physics 2016-11-15 Anupam Gupta , Mauro Sbragaglia

The fractal dimension of domain walls produced by changing the boundary conditions from periodic to anti-periodic in one spatial direction is studied using both the strong-disorder renormalization group and the greedy algorithm for the…

Disordered Systems and Neural Networks · Physics 2018-03-12 Wenlong Wang , M. A. Moore , Helmut G. Katzgraber

In order for a droplet to rebound rather than coalesce with a liquid bath, a layer of gas must persist throughout the impact. This gas, typically an air layer acts as a lubricant to the system and permits a pressure transfer between the two…

Fluid Dynamics · Physics 2025-06-18 Katie A Phillips , Radu Cimpeanu , Paul A Milewski

Multicanonical ensemble sampling simulations have been performed to calculate the phase diagram of a Lennard-Jones fluid embedded in a fractal random matrix generated through diffusion limited cluster aggregation. The study of the system at…

Statistical Mechanics · Physics 2015-06-25 V. De Grandis , P. Gallo , M. Rovere

The aerodynamic breakup of a polymeric droplet in the bag breakup regime is investigated experimentally and compared with the result of the Newtonian droplet. To understand the effect of liquid elasticity, the Weber number is kept fixed…

Fluid Dynamics · Physics 2023-09-27 Navin Kumar Chandra , Shubham Sharma , Saptarshi Basu , Aloke Kumar

We develop a parameter-free model for the fragmentation of drops colliding off-center. The prediction is excellent over a wide range of liquid properties. The so-called stretching separation is attributed to the extension of the merged drop…

Fluid Dynamics · Physics 2023-06-22 David Baumgartner , Günter Brenn , Carole Planchette

In this paper the amorphous/solid to disorder liquid structural phase transitions of an anomalous confined fluid is analyzed using their local fractal dimension. The model is a system of particles interacting through a two length scales…

Soft Condensed Matter · Physics 2016-02-17 Elsa M. de la Calleja-Mora , Leandro B. Krott , Marcia C. Barbosa
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