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In the realm of nanoscience, the dynamic behaviors of liquids at scales beyond the conventional structural relaxation time, $\tau$, unfold a fascinating blend of solid-like characteristics, including the propagation of collective shear…

Soft Condensed Matter · Physics 2024-09-11 Yuanxi Yu , Sha Jin , Xue Fan , Mona Sarter , Dehong Yu , Liang Hong , Matteo Baggioli

The statistics of polymers advected by a turbulent flow are investigated. To limit the polymer lengths above to coil-stretch transition, a FENE-P type relaxation law is used. The turbulence is modeled by a random strain, delta-correlated in…

Chaotic Dynamics · Physics 2009-11-07 Jean-Luc Thiffeault

We report on recent progress in the physical and numerical modeling of compressible two-phase flows that involve phase transition between the liquid and gaseous state of the fluid. The high-speed dynamics of cavitation bubbles is studied in…

Fluid Dynamics · Physics 2014-02-14 Stefan Hickel

For improved operating conditions of a polymer electrolyte membrane (PEM) fuel cell, a sophisticated water management is crucial. Therefore, it is necessary to understand the transport mechanisms of water throughout the cell constituents…

A recent theory suggests that the evaporation kinetics of macromolecular solutions is insensitive to the ambient relative humidity (RH) due to the formation of a `polarisation layer' of solutes at the air-solution interface. We confirm this…

Soft Condensed Matter · Physics 2023-11-29 Max Huisman , Paul Digard , Wilson C. K. Poon , Simon Titmuss

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

Moist processes are among the most important drivers of atmospheric dynamics,and scale analysis and asymptotics are cornerstones of theoretical meteorology. Accounting for moist processes in systematic scale analyses therefore seems of…

Fluid Dynamics · Physics 2020-06-16 Sabine Hittmeir , Rupert Klein

Elastic turbulence is a chaotic regime that emerges in polymer solutions at low Reynolds numbers. A common way to ensure stability in numerical simulations of polymer solutions is to add artificially large polymer-stress diffusion. In order…

Fluid Dynamics · Physics 2019-05-22 Anupam Gupta , Dario Vincenzi

In this paper, we address the well-posedness of an evaporation model for a spherical liquid droplet taking into account the convective impact of an air flow in the ambient gas phase. From a mathematical perspective, we are dealing with a…

Analysis of PDEs · Mathematics 2023-12-13 Eberhard Bänsch , Martin Doß , Carsten Gräser , Nadja Ray

We study the behavior of the elastic polymer, a model of a directed polymer in a continuous Gaussian random environment that is independent in time and correlated in space, as the dimension of the environment is taken to infinity. We give…

Probability · Mathematics 2026-05-08 Gerard Ben Arous , Pax Kivimae

The leading order "temperature" of a dense two dimensional granular material fluidised by external vibrations is determined. An asymptotic solution is obtained where the particles are considered to be elastic in the leading approximation.…

Soft Condensed Matter · Physics 2009-10-31 P. Sunthar , V. Kumaran

Droplet evaporation in turbulent sprays involves unsteady, multiscale and multiphase processes which make its comprehension and model capabilities still limited. The present work aims to investigate droplet vaporization dynamics within a…

Fluid Dynamics · Physics 2017-03-20 Federico Dalla Barba , Francesco Picano

We consider the stochastic evolution of a (1 + 1)-dimensional polymer in the depinned regime. At equilibrium the system exhibits a double well structure: the polymer lies(essentially) either above or below the repulsive line. As a…

A sequence of two and three-dimensional simulations is conducted for the double diffusive convection (DDC) flows in the diffusive regime subjected to an imposed shear. The flow is confined between two horizontal plates which are maintained…

Fluid Dynamics · Physics 2022-01-12 Yantao Yang , Roberto Verzicco , Detlef Lohse , C. P. Caulfield

We study the evaporation-induced stratification of a mixture of short and long polymer chains in a drying droplet using molecular simulations. We systematically investigate the effects of hydrodynamic interactions (HI) on this process by…

Soft Condensed Matter · Physics 2020-08-26 Michael P. Howard , Arash Nikoubashman

Random sequential adsorption (RSA) models have been studied due to their relevance to deposition processes on surfaces. The depositing particles are represented by hard-core extended objects; they are not allowed to overlap. Numerical Monte…

Condensed Matter · Physics 2016-07-12 P. Nielaba , V. Privman , J. -S. Wang

Microparticles migrate in response to gradients in solute concentration through diffusiophoresis and diffusioosmosis. Merging streams of fluid with distinct solute concentrations is a common strategy for producing a steady concentration…

Fluid Dynamics · Physics 2023-06-01 Robben E. Migacz , Guillaume Durey , Jesse T. Ault

Computation of gas dispersal in urban places or hilly grounds requires a large amount of computer time when addressed with conventional multidimensional models. Those are usually based on two-phase flow or Navier-Stokes equations. Different…

Analysis of PDEs · Mathematics 2021-01-13 Alexandre Chiapolino , Sébastien Courtiaud , Emmanuel Lapebie , Richard Saurel

Evaporating droplets of polymer or colloid solution may produce a glassy crust at the liquid-vapour interface, which subsequently deforms as an elastic shell. For sessile droplets, the known radial outward flow of solvent is expected to…

Materials Science · Physics 2009-11-11 D. A. Head

The critical dimension necessary for a flame to propagate in suspensions of fuel particles in oxidizer is studied analytically and numerically. Two types of models are considered: First, a continuum model, wherein the individual particulate…

Fluid Dynamics · Physics 2019-12-23 Fredric Y. K. Lam , XiaoCheng Mi , Andrew J. Higgins