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We introduce a diffuse interface model describing the evolution of a mixture of two different viscous incompressible fluids of equal density. The main novelty of the present contribution consists in the fact that the effects of temperature…

Analysis of PDEs · Mathematics 2014-01-15 Michela Eleuteri , Elisabetta Rocca , Giulio Schimperna

Complex spatial and temporal structures are inherent characteristics of turbulent fluid flows and comprehending them poses a major challenge. This comprehesion necessitates an understanding of the space of turbulent fluid flow…

Fluid Dynamics · Physics 2024-07-16 Tim Whittaker , Romuald A. Janik , Yaron Oz

Supercooled liquids and dense colloids exhibit anomalous behaviour known as "spatially heterogeneous dynamics" (SHD), which becomes increasingly pronounced with approach to the glass transition. Recently, SHD has been observed in confined…

Soft Condensed Matter · Physics 2010-12-23 Aaron S. Keys , Adam R. Abate , Sharon C. Glotzer , Douglas J. Durian

We report an experimental investigation of the caging motion in a uniformly heated granular fluid, for a wide range of filling fractions, $\phi$. At low $\phi$ the classic diffusive behavior of a fluid is observed. However, as $\phi$ is…

Soft Condensed Matter · Physics 2009-11-11 Pedro M. Reis , Rohit A. Ingale , Mark D. Shattuck

We use molecular dynamics simulations to study the evaporation of particle-laden droplets on a heated surface. The droplets are composed of a Lennard-Jones fluid containing rigid particles which are spherical sections of an atomic lattice,…

Soft Condensed Matter · Physics 2015-06-04 Weikang Chen , Joel Koplik , Ilona Kretzschmar

Conditions for the stability under linear perturbations around the homogeneous cooling state are studied for dilute granular gases of inelastic and rough hard disks or spheres with constant coefficients of normal ($\alpha$) and tangential…

Soft Condensed Matter · Physics 2021-09-16 Alberto Megías , Andrés Santos

We consider one-dimensional interacting quantum fluids, such as the Lieb-Liniger gas. By computing the low-temperature limit of its (generalised) hydrodynamics we show how in this limit the gas is well described by a conventional viscous…

Strongly Correlated Electrons · Physics 2024-06-14 Andrew Urichuk , Stefano Scopa , Jacopo De Nardis

Transport phenomena involving condensate liquids generated from the phase change heat transfer in microchannels and in engineered superhydrophobic surfaces require consideration of slip effects. In this study, the laminar film condensation…

Fluid Dynamics · Physics 2021-03-23 Radi Alsulami , Kannan Premnath , Mutabe Aljaghtham

A key issue in fluid dynamics is the definition of the phase-space Lagrangian dynamics characterizing prescribed ideal fluids (i.e., continua), which is related to the dynamics of so-called \textit{ideal tracer particles} moving in the same…

Fluid Dynamics · Physics 2009-06-08 Massimo Tessarotto , Claudio Cremaschini , Marco Tessarotto

The thermal expansion of a fluid combined with a temperature-dependent viscosity introduces nonlinearities in the Navier-Stokes equations unrelated to the convective momentum current. The couplings generate the possibility for net fluid…

Soft Condensed Matter · Physics 2009-11-13 Franz M. Weinert , Jonas A. Kraus , Thomas Franosch , Dieter Braun

Modeling statistical properties of motion of a Lagrangian particle advected by a high-Reynolds-number flow is of much practical interest and complement traditional studies of turbulence made in Eulerian framework. The strong and nonlocal…

Statistical Mechanics · Physics 2007-05-23 A. K. Aringazin , M. I. Mazhitov

Granular dynamics driven by fluid flow is ubiquitous in many industrial and natural processes, such as fluvial and coastal sediment transport. Yet, their complex multiphysics nature challenges the accuracy and efficiency of numerical…

Fluid Dynamics · Physics 2026-01-08 Mojtaba Jandaghian , Ahmad Shakibaeinia

We obtain the first rigorous derivation of an incompressible Navier-Stokes-Fourier system with self-consistent and time-dependent forcing terms from the inelastic hard-spheres Boltzmann equation associated to the relevant case of…

Analysis of PDEs · Mathematics 2025-11-27 R. Alonso , B. Lods , I. Tristani

We use large-scale molecular dynamics simulations of a simple glass-forming system to investigate how its liquid-gas phase separation kinetics depends on temperature. A shallow quench leads to a fully demixed liquid-gas system whereas a…

Disordered Systems and Neural Networks · Physics 2014-05-16 Vincent Testard , Ludovic Berthier , Walter Kob

We investigate flow pattern formation and viscosity reduction mechanisms in active fluids by studying a generalized Navier-Stokes model that captures the experimentally observed bulk vortex dynamics in microbial suspensions. We present…

Fluid Dynamics · Physics 2017-05-03 Jonasz Słomka , Jörn Dunkel

In this review, a theoretical description is provided for the solid (granular) phase of the gas-solid flows that are the focus of this book. Emphasis is placed on the fundamental concepts involved in deriving a macroscopic hydrodynamic…

Statistical Mechanics · Physics 2009-10-02 James W. Dufty , Aparna Baskaran

We develop a one-dimensional mathematical model for the loading process of hydrogen in a metal hydride tank. The model describes the evolution of the density and pressure of the hydrogen gas, the temperature of the tank, the averaged…

Materials Science · Physics 2025-07-31 Francesc Font , Attila Husar , Tim Myers , Maria Aguareles , Esther Barrabés

Granular fluids consist of collections of activated mesoscopic or macroscopic particles (e.g., powders or grains) whose flows often appear similar to those of normal fluids. To explore the qualitative and quantitative description of these…

Statistical Mechanics · Physics 2007-07-26 James W. Dufty

The Navier-Stokes transport coefficients of a granular dense fluid of smooth inelastic hard disks or spheres are explicitly determined by solving the inelastic Enskog equation by means of Grad's moment method. The transport coefficients are…

Statistical Mechanics · Physics 2013-06-27 Vicente Garzó

We consider a system of many hard rods moving in one dimension. As it is an integrable system, it possesses an extensive number of conserved quantities and its evolution on macroscopic scale can be described by generalised hydrodynamics.…

Statistical Mechanics · Physics 2024-12-23 Mrinal Jyoti Powdel , Anupam Kundu
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