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We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time…

Analysis of PDEs · Mathematics 2012-03-15 Inwon Kim , Antoine Mellet

In this paper is described a numerical scheme that is used to simulate the coalescence process between clusters of water drops immersed in a continuous hydrocarbon phase (n-heptane). Two different values for the initial velocity of the…

Soft Condensed Matter · Physics 2017-07-10 Alejandro Acevedo-Malavé

A simple analytical solution for turbulent plane Couette flow is obtained from a subset of the Navier-Stokes equations. This approach analyses the effect of the unsteady state Lagrangian diffusion of viscous momentum on the smoothed phase…

Fluid Dynamics · Physics 2011-04-25 Khanh Tuoc Trinh

Modelling the sudden depressurisation of superheated liquids through nozzles is a challenge because the pressure drop causes rapid flash boiling of the liquid. The resulting jet usually demonstrates a wide range of structures, including…

Fluid Dynamics · Physics 2021-12-15 David Schmidt , Romit Maulik , Konstantinos G. Lyras

The paper considers the dynamics of the spreading liquid droplets after impact on a solid surface. The dynamics of a drop falling on a solid surface is shown using numerical simulation based on the solution of 2D and 3D Navier-Stokes…

Fluid Dynamics · Physics 2022-07-15 Alexey Ivanovich Fedyushkin , Aleksey Nikolaevich Rozhkov

Interfaces between two fluids are ubiquitous and of special importance for industrial applications, e.g., stabilisation of emulsions. The dynamics of fluid-fluid interfaces is difficult to study because these interfaces are usually…

Soft Condensed Matter · Physics 2015-03-20 Timm Krüger , Stefan Frijters , Florian Günther , Badr Kaoui , Jens Harting

To better understand the hydrodynamic flow behavior in turbulence, Particle-Fluid flow have been studied using our Direct Numerical(DNS) based software DSM on MUSCL-QUICK and finite volume algorithm. The particle flow was studied using…

Fluid Dynamics · Physics 2012-07-12 R. Dutta , Shar Sajjadi

This paper presents a comprehensive mathematical model of a servopneumatic system, aimed at its consolidation in literature. The work exploits system's friction forces, temperature and pressure evolution, heat transfer, leakage between…

Systems and Control · Electrical Eng. & Systems 2020-11-16 Rodrigo Trentini , Daniel Rafael dos Santos , Yuri Roberto Ferreira

The entry phase constitutes a design driver for aerospace systems that include such a critical step. This phase is characterized by hypersonic flows encompassing multiscale phenomena that require advanced modeling capabilities. However,…

An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large…

Numerical Analysis · Mathematics 2013-03-20 Stefan Engblom , Minh Do-Quang , Gustav Amberg , Anna-Karin Tornberg

In this manuscript I summarise the work I have carried out in the last 10 years. My research projects are articulated around various fields in astrophysics having, as unifying theme, the 3D modelling and the observation of stellar…

Solar and Stellar Astrophysics · Physics 2018-12-31 A. Chiavassa

We review recent advances in the design, synthesis, and modeling of active fluids. Active fluids have been at the center of many technological innovations and theoretical advances over the past two decades. Research on this new class of…

Soft Condensed Matter · Physics 2023-02-02 Ilham Essafri , Bappa Ghosh , Caroline Desgranges , Jerome Delhommelle

The connection between fundamental interactions acting in molecules in a fluid and macroscopically measured properties, such as the viscosity between colloidal particles coated with polymers, is studied here. The role that hydrodynamic and…

Soft Condensed Matter · Physics 2015-09-02 A. Gama Goicochea , M. A. Balderas Altamirano , R. Lopez-Esparza , M. A. Waldo , E. Perez

The liquid cone-jet mode can be produced upon stimulation by a co-flowing gas sheath. Most applications deal with the jet breakup, leading to either of two droplet generation regimes: jetting and dripping. The cone-jet flow pattern is…

The simulation of hypersonic flows is computationally demanding due to large gradients of the flow variables caused by strong shock waves and thick boundary or shear layers. The resolution of those gradients imposes the use of extremely…

Computational Physics · Physics 2014-10-16 Sarah Frauholz , Arianna Bosco , Birgit U. Reinartz , Siegfried Müller , Marek Behr

Many suspensions contain particles with complex shapes that are affected not only by hydrodynamics, but also by thermal fluctuations, internal kinematic constraints and other long-range non-hydrodynamic interactions. Modeling these systems…

Soft Condensed Matter · Physics 2025-07-31 Blaise Delmotte , Florencio Balboa Usabiaga

Mathematical modeling of fluid dynamics for computer graphics requires high levels of theoretical rigor to ensure visually plausible and computationally efficient simulations. This paper presents an in-depth theoretical framework analyzing…

Fluid Dynamics · Physics 2024-11-05 Rômulo Damasclin Chaves dos Santos

Spray atomization process involves complex multi-phase phenomena. Abundant literature and validation of spray modelling for industrial applications like fuel injection in internal combustion and turbine jet engines are available. However,…

Fluid Dynamics · Physics 2023-05-24 Kendra Shrestha , James Van Strien , David F Fletcher , Kiao Inthavong

Experiments and numerical simulations were carried out in order to contribute to a better understanding and prediction of high-pressure injection into a gaseous environment. Specifically, the focus was put on the phase separation processes…

Shallow flows are common in natural and human-made environments. Even for simple rectangular shallow reservoirs, recent laboratory experiments show that the developing flow fields are particularly complex, involving large-scale turbulent…

Fluid Dynamics · Physics 2023-07-13 Daniel Valero , Daniel B. Bung , Sebastien Erpicum , Yann Peltier , Benjamin Dewals
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